id	sid	tid	token	lemma	pos
fis-3204	1	1	microsoft	microsoft	PROPN
fis-3204	1	2	word	word	NOUN
fis-3204	1	3	numero_58_art_11_3204.doc	numero_58_art_11_3204.doc	PROPN
fis-3204	1	4	e.s.m.m	e.s.m.m	PROPN
fis-3204	1	5	.	.	PROPN
fis-3204	1	6	soliman	soliman	PROPN
fis-3204	1	7	,	,	PUNCT
fis-3204	1	8	frattura	frattura	PROPN
fis-3204	1	9	ed	ed	PROPN
fis-3204	1	10	integrità	integrità	PROPN
fis-3204	1	11	strutturale	strutturale	PROPN
fis-3204	1	12	,	,	PUNCT
fis-3204	1	13	58	58	NUM
fis-3204	1	14	(	(	PUNCT
fis-3204	1	15	2021	2021	NUM
fis-3204	1	16	)	)	PUNCT
fis-3204	1	17	151	151	NUM
fis-3204	1	18	-	-	SYM
fis-3204	1	19	165	165	NUM
fis-3204	1	20	;	;	PUNCT
fis-3204	1	21	doi	doi	NOUN
fis-3204	1	22	:	:	PUNCT
fis-3204	1	23	10.3221	10.3221	NUM
fis-3204	1	24	/	/	SYM
fis-3204	1	25	igf	igf	PROPN
fis-3204	1	26	-	-	ADJ
fis-3204	1	27	esis.58.11	esis.58.11	ADJ
fis-3204	1	28	151	151	NUM
fis-3204	1	29	damage	damage	NOUN
fis-3204	1	30	severity	severity	NOUN
fis-3204	1	31	for	for	ADP
fis-3204	1	32	cracked	crack	VERB
fis-3204	1	33	simply	simply	ADV
fis-3204	1	34	supported	support	VERB
fis-3204	1	35	beams	beam	NOUN
fis-3204	1	36	ehab	ehab	PROPN
fis-3204	1	37	samir	samir	PROPN
fis-3204	1	38	mohamed	mohamed	PROPN
fis-3204	1	39	mohamed	mohamed	PROPN
fis-3204	1	40	soliman	soliman	PROPN
fis-3204	1	41	mechatronics	mechatronics	PROPN
fis-3204	1	42	and	and	CCONJ
fis-3204	1	43	robotics	robotic	NOUN
fis-3204	1	44	department	department	NOUN
fis-3204	1	45	,	,	PUNCT
fis-3204	1	46	faculty	faculty	NOUN
fis-3204	1	47	of	of	ADP
fis-3204	1	48	engineering	engineering	NOUN
fis-3204	1	49	,	,	PUNCT
fis-3204	1	50	egyptian	egyptian	ADJ
fis-3204	1	51	russian	russian	PROPN
fis-3204	1	52	university	university	PROPN
fis-3204	1	53	,	,	PUNCT
fis-3204	1	54	badr	badr	PROPN
fis-3204	1	55	city	city	PROPN
fis-3204	1	56	,	,	PUNCT
fis-3204	1	57	cairo	cairo	PROPN
fis-3204	1	58	,	,	PUNCT
fis-3204	1	59	11829	11829	NUM
fis-3204	1	60	,	,	PUNCT
fis-3204	1	61	egypt	egypt	PROPN
fis-3204	1	62	.	.	PUNCT
fis-3204	2	1	swgezumo@yahoo.com	swgezumo@yahoo.com	PROPN
fis-3204	2	2	,	,	PUNCT
fis-3204	2	3	http://orcid.org/0000-0001-6427-3022	http://orcid.org/0000-0001-6427-3022	NOUN
fis-3204	2	4	abstract	abstract	NOUN
fis-3204	2	5	.	.	PUNCT
fis-3204	3	1	this	this	DET
fis-3204	3	2	paper	paper	NOUN
fis-3204	3	3	investigated	investigate	VERB
fis-3204	3	4	the	the	DET
fis-3204	3	5	static	static	ADJ
fis-3204	3	6	and	and	CCONJ
fis-3204	3	7	dynamic	dynamic	ADJ
fis-3204	3	8	behaviors	behavior	NOUN
fis-3204	3	9	of	of	ADP
fis-3204	3	10	isotropic	isotropic	NOUN
fis-3204	3	11	cracked	crack	VERB
fis-3204	3	12	simply	simply	ADV
fis-3204	3	13	supported	support	VERB
fis-3204	3	14	beam	beam	NOUN
fis-3204	3	15	using	use	VERB
fis-3204	3	16	finite	finite	ADJ
fis-3204	3	17	element	element	NOUN
fis-3204	3	18	analysis	analysis	NOUN
fis-3204	3	19	(	(	PUNCT
fis-3204	3	20	fea	fea	NOUN
fis-3204	3	21	)	)	PUNCT
fis-3204	3	22	,	,	PUNCT
fis-3204	3	23	ansys	ansys	PROPN
fis-3204	3	24	software	software	PROPN
fis-3204	3	25	.	.	PUNCT
fis-3204	4	1	modal	modal	NOUN
fis-3204	4	2	and	and	CCONJ
fis-3204	4	3	harmonic	harmonic	ADJ
fis-3204	4	4	vibration	vibration	NOUN
fis-3204	4	5	analysis	analysis	NOUN
fis-3204	4	6	of	of	ADP
fis-3204	4	7	intact	intact	ADJ
fis-3204	4	8	and	and	CCONJ
fis-3204	4	9	damaged	damage	VERB
fis-3204	4	10	beam	beam	NOUN
fis-3204	4	11	were	be	AUX
fis-3204	4	12	performed	perform	VERB
fis-3204	4	13	in	in	ADP
fis-3204	4	14	order	order	NOUN
fis-3204	4	15	to	to	PART
fis-3204	4	16	extract	extract	VERB
fis-3204	4	17	mode	mode	NOUN
fis-3204	4	18	shapes	shape	NOUN
fis-3204	4	19	of	of	ADP
fis-3204	4	20	bending	bend	VERB
fis-3204	4	21	vibration	vibration	NOUN
fis-3204	4	22	,	,	PUNCT
fis-3204	4	23	natural	natural	ADJ
fis-3204	4	24	frequencies	frequency	NOUN
fis-3204	4	25	and	and	CCONJ
fis-3204	4	26	obtain	obtain	VERB
fis-3204	4	27	frequency	frequency	NOUN
fis-3204	4	28	response	response	NOUN
fis-3204	4	29	diagram	diagram	NOUN
fis-3204	4	30	.	.	PUNCT
fis-3204	5	1	static	static	ADJ
fis-3204	5	2	finite	finite	ADJ
fis-3204	5	3	element	element	NOUN
fis-3204	5	4	analysis	analysis	NOUN
fis-3204	5	5	of	of	ADP
fis-3204	5	6	undamaged	undamaged	ADJ
fis-3204	5	7	and	and	CCONJ
fis-3204	5	8	damaged	damage	VERB
fis-3204	5	9	simply	simply	ADV
fis-3204	5	10	supported	support	VERB
fis-3204	5	11	beam	beam	NOUN
fis-3204	5	12	was	be	AUX
fis-3204	5	13	carried	carry	VERB
fis-3204	5	14	out	out	ADP
fis-3204	5	15	to	to	PART
fis-3204	5	16	determine	determine	VERB
fis-3204	5	17	static	static	ADJ
fis-3204	5	18	deflection	deflection	NOUN
fis-3204	5	19	,	,	PUNCT
fis-3204	5	20	then	then	ADV
fis-3204	5	21	stiffness	stiffness	NOUN
fis-3204	5	22	of	of	ADP
fis-3204	5	23	intact	intact	ADJ
fis-3204	5	24	and	and	CCONJ
fis-3204	5	25	cracked	crack	VERB
fis-3204	5	26	beam	beam	NOUN
fis-3204	5	27	was	be	AUX
fis-3204	5	28	computed	compute	VERB
fis-3204	5	29	using	use	VERB
fis-3204	5	30	conventional	conventional	ADJ
fis-3204	5	31	formula	formula	NOUN
fis-3204	5	32	.	.	PUNCT
fis-3204	6	1	crack	crack	VERB
fis-3204	6	2	damage	damage	NOUN
fis-3204	6	3	severity	severity	NOUN
fis-3204	6	4	of	of	ADP
fis-3204	6	5	damaged	damage	VERB
fis-3204	6	6	beam	beam	NOUN
fis-3204	6	7	was	be	AUX
fis-3204	6	8	calculated	calculate	VERB
fis-3204	6	9	and	and	CCONJ
fis-3204	6	10	it	it	PRON
fis-3204	6	11	is	be	AUX
fis-3204	6	12	noticed	notice	VERB
fis-3204	6	13	that	that	SCONJ
fis-3204	6	14	as	as	SCONJ
fis-3204	6	15	crack	crack	NOUN
fis-3204	6	16	position	position	NOUN
fis-3204	6	17	is	be	AUX
fis-3204	6	18	increased	increase	VERB
fis-3204	6	19	from	from	ADP
fis-3204	6	20	left	left	ADJ
fis-3204	6	21	hand	hand	NOUN
fis-3204	6	22	support	support	NOUN
fis-3204	6	23	of	of	ADP
fis-3204	6	24	beam	beam	NOUN
fis-3204	6	25	up	up	ADP
fis-3204	6	26	to	to	ADP
fis-3204	6	27	central	central	ADJ
fis-3204	6	28	point	point	NOUN
fis-3204	6	29	and	and	CCONJ
fis-3204	6	30	crack	crack	VERB
fis-3204	6	31	depth	depth	NOUN
fis-3204	6	32	is	be	AUX
fis-3204	6	33	increased	increase	VERB
fis-3204	6	34	,	,	PUNCT
fis-3204	6	35	then	then	ADV
fis-3204	6	36	crack	crack	VERB
fis-3204	6	37	damage	damage	NOUN
fis-3204	6	38	severity	severity	NOUN
fis-3204	6	39	increases	increase	NOUN
fis-3204	6	40	.	.	PUNCT
fis-3204	7	1	the	the	DET
fis-3204	7	2	effect	effect	NOUN
fis-3204	7	3	of	of	ADP
fis-3204	7	4	mode	mode	NOUN
fis-3204	7	5	shape	shape	NOUN
fis-3204	7	6	pattern	pattern	NOUN
fis-3204	7	7	is	be	AUX
fis-3204	7	8	investigated	investigate	VERB
fis-3204	7	9	and	and	CCONJ
fis-3204	7	10	it	it	PRON
fis-3204	7	11	is	be	AUX
fis-3204	7	12	found	find	VERB
fis-3204	7	13	that	that	SCONJ
fis-3204	7	14	the	the	DET
fis-3204	7	15	amount	amount	NOUN
fis-3204	7	16	of	of	ADP
fis-3204	7	17	decreasing	decrease	VERB
fis-3204	7	18	of	of	ADP
fis-3204	7	19	natural	natural	ADJ
fis-3204	7	20	frequency	frequency	NOUN
fis-3204	7	21	is	be	AUX
fis-3204	7	22	proportional	proportional	ADJ
fis-3204	7	23	to	to	ADP
fis-3204	7	24	the	the	DET
fis-3204	7	25	normalized	normalize	VERB
fis-3204	7	26	mode	mode	NOUN
fis-3204	7	27	shape	shape	NOUN
fis-3204	7	28	at	at	ADP
fis-3204	7	29	position	position	NOUN
fis-3204	7	30	of	of	ADP
fis-3204	7	31	crack	crack	NOUN
fis-3204	7	32	.	.	PUNCT
fis-3204	8	1	the	the	DET
fis-3204	8	2	exhibited	exhibit	VERB
fis-3204	8	3	correlation	correlation	NOUN
fis-3204	8	4	between	between	ADP
fis-3204	8	5	results	result	NOUN
fis-3204	8	6	for	for	ADP
fis-3204	8	7	damaged	damage	VERB
fis-3204	8	8	beam	beam	NOUN
fis-3204	8	9	revealed	reveal	VERB
fis-3204	8	10	that	that	SCONJ
fis-3204	8	11	crack	crack	VERB
fis-3204	8	12	damage	damage	NOUN
fis-3204	8	13	severity	severity	NOUN
fis-3204	8	14	is	be	AUX
fis-3204	8	15	proportional	proportional	ADJ
fis-3204	8	16	to	to	ADP
fis-3204	8	17	static	static	ADJ
fis-3204	8	18	deflection	deflection	NOUN
fis-3204	8	19	and	and	CCONJ
fis-3204	8	20	inversely	inversely	ADV
fis-3204	8	21	proportional	proportional	ADJ
fis-3204	8	22	to	to	ADP
fis-3204	8	23	first	first	ADJ
fis-3204	8	24	mode	mode	NOUN
fis-3204	8	25	frequency	frequency	NOUN
fis-3204	8	26	.	.	PUNCT
fis-3204	9	1	keywords	keyword	NOUN
fis-3204	9	2	.	.	PUNCT
fis-3204	10	1	isotropic	isotropic	NOUN
fis-3204	10	2	;	;	PUNCT
fis-3204	10	3	damaged	damage	VERB
fis-3204	10	4	simply	simply	ADV
fis-3204	10	5	supported	support	VERB
fis-3204	10	6	beam	beam	NOUN
fis-3204	10	7	;	;	PUNCT
fis-3204	10	8	crack	crack	VERB
fis-3204	10	9	damage	damage	NOUN
fis-3204	10	10	severity	severity	NOUN
fis-3204	10	11	;	;	PUNCT
fis-3204	10	12	mode	mode	NOUN
fis-3204	10	13	shape	shape	NOUN
fis-3204	10	14	;	;	PUNCT
fis-3204	10	15	static	static	ADJ
fis-3204	10	16	deflection	deflection	NOUN
fis-3204	10	17	.	.	PUNCT
fis-3204	11	1	citation	citation	NOUN
fis-3204	11	2	:	:	PUNCT
fis-3204	11	3	soliman	soliman	NOUN
fis-3204	11	4	,	,	PUNCT
fis-3204	11	5	e.s.m.m	e.s.m.m	PROPN
fis-3204	11	6	.	.	PROPN
fis-3204	11	7	,	,	PUNCT
fis-3204	11	8	damage	damage	NOUN
fis-3204	11	9	severity	severity	NOUN
fis-3204	11	10	for	for	ADP
fis-3204	11	11	cracked	crack	VERB
fis-3204	11	12	simply	simply	ADV
fis-3204	11	13	supported	support	VERB
fis-3204	11	14	beams	beam	NOUN
fis-3204	11	15	,	,	PUNCT
fis-3204	11	16	frattura	frattura	PROPN
fis-3204	11	17	ed	ed	PROPN
fis-3204	11	18	integrità	integrità	PROPN
fis-3204	11	19	strutturale	strutturale	PROPN
fis-3204	11	20	,	,	PUNCT
fis-3204	11	21	58	58	NUM
fis-3204	11	22	(	(	PUNCT
fis-3204	11	23	2021	2021	NUM
fis-3204	11	24	)	)	PUNCT
fis-3204	11	25	151	151	NUM
fis-3204	11	26	-	-	SYM
fis-3204	11	27	165	165	NUM
fis-3204	11	28	.	.	PUNCT
fis-3204	11	29	received	receive	VERB
fis-3204	11	30	:	:	PUNCT
fis-3204	11	31	26.07.2021	26.07.2021	NUM
fis-3204	11	32	accepted	accept	VERB
fis-3204	11	33	:	:	PUNCT
fis-3204	11	34	21.08.2021	21.08.2021	NUM
fis-3204	11	35	published	publish	VERB
fis-3204	11	36	:	:	PUNCT
fis-3204	11	37	01.10.2021	01.10.2021	NUM
fis-3204	12	1	copyright	copyright	NOUN
fis-3204	12	2	:	:	PUNCT
fis-3204	12	3	©	©	PROPN
fis-3204	12	4	2021	2021	NUM
fis-3204	12	5	this	this	PRON
fis-3204	12	6	is	be	AUX
fis-3204	12	7	an	an	DET
fis-3204	12	8	open	open	ADJ
fis-3204	12	9	access	access	NOUN
fis-3204	12	10	article	article	NOUN
fis-3204	12	11	under	under	ADP
fis-3204	12	12	the	the	DET
fis-3204	12	13	terms	term	NOUN
fis-3204	12	14	of	of	ADP
fis-3204	12	15	the	the	DET
fis-3204	12	16	cc	cc	NOUN
fis-3204	12	17	-	-	PUNCT
fis-3204	12	18	by	by	ADP
fis-3204	12	19	4.0	4.0	NUM
fis-3204	12	20	,	,	PUNCT
fis-3204	12	21	which	which	PRON
fis-3204	12	22	permits	permit	VERB
fis-3204	12	23	unrestricted	unrestricted	ADJ
fis-3204	12	24	use	use	NOUN
fis-3204	12	25	,	,	PUNCT
fis-3204	12	26	distribution	distribution	NOUN
fis-3204	12	27	,	,	PUNCT
fis-3204	12	28	and	and	CCONJ
fis-3204	12	29	reproduction	reproduction	NOUN
fis-3204	12	30	in	in	ADP
fis-3204	12	31	any	any	DET
fis-3204	12	32	medium	medium	NOUN
fis-3204	12	33	,	,	PUNCT
fis-3204	12	34	provided	provide	VERB
fis-3204	12	35	the	the	DET
fis-3204	12	36	original	original	ADJ
fis-3204	12	37	author	author	NOUN
fis-3204	12	38	and	and	CCONJ
fis-3204	12	39	source	source	NOUN
fis-3204	12	40	are	be	AUX
fis-3204	12	41	credited	credit	VERB
fis-3204	12	42	.	.	PUNCT
fis-3204	13	1	introduction	introduction	NOUN
fis-3204	13	2	tructures	tructure	NOUN
fis-3204	13	3	must	must	AUX
fis-3204	13	4	work	work	VERB
fis-3204	13	5	in	in	ADP
fis-3204	13	6	safety	safety	NOUN
fis-3204	13	7	during	during	ADP
fis-3204	13	8	service	service	NOUN
fis-3204	13	9	life	life	NOUN
fis-3204	13	10	but	but	CCONJ
fis-3204	13	11	the	the	DET
fis-3204	13	12	initiation	initiation	NOUN
fis-3204	13	13	of	of	ADP
fis-3204	13	14	a	a	DET
fis-3204	13	15	breakdown	breakdown	ADJ
fis-3204	13	16	period	period	NOUN
fis-3204	13	17	on	on	ADP
fis-3204	13	18	it	it	PRON
fis-3204	13	19	is	be	AUX
fis-3204	13	20	due	due	ADJ
fis-3204	13	21	to	to	ADP
fis-3204	13	22	damages	damage	NOUN
fis-3204	13	23	as	as	ADP
fis-3204	13	24	cracks	crack	NOUN
fis-3204	13	25	[	[	X
fis-3204	13	26	1	1	NUM
fis-3204	13	27	]	]	PUNCT
fis-3204	13	28	.	.	PUNCT
fis-3204	14	1	crack	crack	NOUN
fis-3204	14	2	may	may	AUX
fis-3204	14	3	be	be	AUX
fis-3204	14	4	caused	cause	VERB
fis-3204	14	5	by	by	ADP
fis-3204	14	6	manufacturing	manufacturing	NOUN
fis-3204	14	7	and	and	CCONJ
fis-3204	14	8	material	material	NOUN
fis-3204	14	9	defects	defect	NOUN
fis-3204	14	10	and	and	CCONJ
fis-3204	14	11	furthermore	furthermore	ADV
fis-3204	14	12	,	,	PUNCT
fis-3204	14	13	fatigue	fatigue	NOUN
fis-3204	14	14	cracks	crack	NOUN
fis-3204	14	15	in	in	ADP
fis-3204	14	16	structures	structure	NOUN
fis-3204	14	17	are	be	AUX
fis-3204	14	18	easily	easily	ADV
fis-3204	14	19	triggered	trigger	VERB
fis-3204	14	20	under	under	ADP
fis-3204	14	21	periodical	periodical	ADJ
fis-3204	14	22	alternating	alternate	VERB
fis-3204	14	23	loads	load	NOUN
fis-3204	14	24	in	in	ADP
fis-3204	14	25	operating	operating	NOUN
fis-3204	14	26	conditions	condition	NOUN
fis-3204	15	1	[	[	X
fis-3204	15	2	2	2	NUM
fis-3204	15	3	]	]	PUNCT
fis-3204	15	4	.	.	PUNCT
fis-3204	16	1	the	the	DET
fis-3204	16	2	mass	mass	ADJ
fis-3204	16	3	and	and	CCONJ
fis-3204	16	4	stiffness	stiffness	ADJ
fis-3204	16	5	distributions	distribution	NOUN
fis-3204	16	6	of	of	ADP
fis-3204	16	7	the	the	DET
fis-3204	16	8	structure	structure	NOUN
fis-3204	16	9	are	be	AUX
fis-3204	16	10	to	to	PART
fis-3204	16	11	be	be	AUX
fis-3204	16	12	an	an	DET
fis-3204	16	13	effective	effective	ADJ
fis-3204	16	14	on	on	ADP
fis-3204	16	15	the	the	DET
fis-3204	16	16	dynamic	dynamic	ADJ
fis-3204	16	17	behavior	behavior	NOUN
fis-3204	16	18	of	of	ADP
fis-3204	16	19	the	the	DET
fis-3204	16	20	structure	structure	NOUN
fis-3204	16	21	,	,	PUNCT
fis-3204	16	22	i.e.	i.e.	X
fis-3204	16	23	,	,	PUNCT
fis-3204	16	24	dynamic	dynamic	ADJ
fis-3204	16	25	response	response	NOUN
fis-3204	16	26	,	,	PUNCT
fis-3204	16	27	natural	natural	ADJ
fis-3204	16	28	frequencies	frequency	NOUN
fis-3204	16	29	and	and	CCONJ
fis-3204	16	30	mode	mode	NOUN
fis-3204	16	31	shapes	shape	NOUN
fis-3204	16	32	of	of	ADP
fis-3204	16	33	a	a	DET
fis-3204	16	34	structure	structure	NOUN
fis-3204	16	35	[	[	X
fis-3204	16	36	3	3	NUM
fis-3204	16	37	]	]	PUNCT
fis-3204	16	38	.	.	PUNCT
fis-3204	17	1	vibration	vibration	NOUN
fis-3204	17	2	-	-	PUNCT
fis-3204	17	3	based	base	VERB
fis-3204	17	4	inspection	inspection	NOUN
fis-3204	17	5	methodology	methodology	NOUN
fis-3204	17	6	is	be	AUX
fis-3204	17	7	one	one	NUM
fis-3204	17	8	of	of	ADP
fis-3204	17	9	the	the	DET
fis-3204	17	10	modern	modern	ADJ
fis-3204	17	11	approaches	approach	NOUN
fis-3204	17	12	to	to	ADP
fis-3204	17	13	non	non	ADJ
fis-3204	17	14	-	-	ADJ
fis-3204	17	15	destructive	destructive	ADJ
fis-3204	17	16	testing	testing	NOUN
fis-3204	17	17	and	and	CCONJ
fis-3204	17	18	evaluation	evaluation	NOUN
fis-3204	17	19	(	(	PUNCT
fis-3204	17	20	nde	nde	PROPN
fis-3204	17	21	)	)	PUNCT
fis-3204	18	1	[	[	X
fis-3204	18	2	4	4	NUM
fis-3204	18	3	]	]	PUNCT
fis-3204	18	4	.	.	PUNCT
fis-3204	19	1	a	a	DET
fis-3204	19	2	noticeable	noticeable	ADJ
fis-3204	19	3	shift	shift	NOUN
fis-3204	19	4	in	in	ADP
fis-3204	19	5	the	the	DET
fis-3204	19	6	natural	natural	ADJ
fis-3204	19	7	frequencies	frequency	NOUN
fis-3204	19	8	is	be	AUX
fis-3204	19	9	revealed	reveal	VERB
fis-3204	19	10	by	by	ADP
fis-3204	19	11	plotting	plot	VERB
fis-3204	19	12	the	the	DET
fis-3204	19	13	deformation	deformation	NOUN
fis-3204	19	14	responses	response	NOUN
fis-3204	19	15	in	in	ADP
fis-3204	19	16	the	the	DET
fis-3204	19	17	y	y	NOUN
fis-3204	19	18	-	-	PUNCT
fis-3204	19	19	direction	direction	NOUN
fis-3204	19	20	for	for	ADP
fis-3204	19	21	the	the	DET
fis-3204	19	22	intact	intact	ADJ
fis-3204	19	23	and	and	CCONJ
fis-3204	19	24	cracked	crack	VERB
fis-3204	19	25	cantilever	cantilever	NOUN
fis-3204	19	26	beams	beam	NOUN
fis-3204	19	27	[	[	X
fis-3204	19	28	5	5	NUM
fis-3204	19	29	]	]	PUNCT
fis-3204	19	30	.	.	PUNCT
fis-3204	20	1	the	the	DET
fis-3204	20	2	effects	effect	NOUN
fis-3204	20	3	of	of	ADP
fis-3204	20	4	the	the	DET
fis-3204	20	5	developed	develop	VERB
fis-3204	20	6	damage	damage	NOUN
fis-3204	20	7	in	in	ADP
fis-3204	20	8	the	the	DET
fis-3204	20	9	structure	structure	NOUN
fis-3204	20	10	are	be	AUX
fis-3204	20	11	the	the	DET
fis-3204	20	12	reduction	reduction	NOUN
fis-3204	20	13	of	of	ADP
fis-3204	20	14	the	the	DET
fis-3204	20	15	rigidity	rigidity	NOUN
fis-3204	20	16	of	of	ADP
fis-3204	20	17	the	the	DET
fis-3204	20	18	structure	structure	NOUN
fis-3204	20	19	and	and	CCONJ
fis-3204	20	20	altering	alter	VERB
fis-3204	20	21	the	the	DET
fis-3204	20	22	associated	associated	ADJ
fis-3204	20	23	dynamic	dynamic	ADJ
fis-3204	20	24	and	and	CCONJ
fis-3204	20	25	static	static	ADJ
fis-3204	20	26	properties	property	NOUN
fis-3204	20	27	to	to	ADP
fis-3204	20	28	some	some	DET
fis-3204	20	29	extent	extent	NOUN
fis-3204	20	30	[	[	X
fis-3204	20	31	6	6	NUM
fis-3204	20	32	]	]	PUNCT
fis-3204	20	33	.	.	PUNCT
fis-3204	21	1	for	for	ADP
fis-3204	21	2	monitoring	monitor	VERB
fis-3204	21	3	the	the	DET
fis-3204	21	4	crack	crack	NOUN
fis-3204	21	5	,	,	PUNCT
fis-3204	21	6	mostly	mostly	ADV
fis-3204	21	7	modal	modal	ADJ
fis-3204	21	8	frequencies	frequency	NOUN
fis-3204	21	9	are	be	AUX
fis-3204	21	10	used	use	VERB
fis-3204	21	11	where	where	SCONJ
fis-3204	21	12	modal	modal	ADJ
fis-3204	21	13	frequencies	frequency	NOUN
fis-3204	21	14	are	be	AUX
fis-3204	21	15	properties	property	NOUN
fis-3204	21	16	of	of	ADP
fis-3204	21	17	the	the	DET
fis-3204	21	18	whole	whole	ADJ
fis-3204	21	19	component	component	NOUN
fis-3204	22	1	[	[	X
fis-3204	22	2	7	7	NUM
fis-3204	22	3	]	]	PUNCT
fis-3204	22	4	.	.	PUNCT
fis-3204	23	1	a	a	DET
fis-3204	23	2	change	change	NOUN
fis-3204	23	3	in	in	ADP
fis-3204	23	4	model	model	NOUN
fis-3204	23	5	parameters	parameter	NOUN
fis-3204	23	6	i.e.	i.e.	X
fis-3204	23	7	model	model	NOUN
fis-3204	23	8	frequencies	frequency	NOUN
fis-3204	23	9	,	,	PUNCT
fis-3204	23	10	model	model	NOUN
fis-3204	23	11	damping	damp	VERB
fis-3204	23	12	values	value	NOUN
fis-3204	23	13	and	and	CCONJ
fis-3204	23	14	mode	mode	NOUN
fis-3204	23	15	shapes	shape	NOUN
fis-3204	23	16	associated	associate	VERB
fis-3204	23	17	with	with	ADP
fis-3204	23	18	each	each	DET
fis-3204	23	19	model	model	NOUN
fis-3204	23	20	frequencies	frequency	NOUN
fis-3204	23	21	characterizes	characterize	VERB
fis-3204	23	22	the	the	DET
fis-3204	23	23	change	change	NOUN
fis-3204	23	24	in	in	ADP
fis-3204	23	25	dynamic	dynamic	ADJ
fis-3204	23	26	characteristics	characteristic	NOUN
fis-3204	23	27	of	of	ADP
fis-3204	23	28	damaged	damage	VERB
fis-3204	23	29	structures	structure	NOUN
fis-3204	23	30	[	[	X
fis-3204	23	31	8	8	NUM
fis-3204	23	32	]	]	PUNCT
fis-3204	23	33	.	.	PUNCT
fis-3204	24	1	the	the	DET
fis-3204	24	2	reduction	reduction	NOUN
fis-3204	24	3	of	of	ADP
fis-3204	24	4	natural	natural	ADJ
fis-3204	24	5	frequency	frequency	NOUN
fis-3204	24	6	of	of	ADP
fis-3204	24	7	the	the	DET
fis-3204	24	8	component	component	NOUN
fis-3204	24	9	occurs	occur	VERB
fis-3204	24	10	as	as	ADP
fis-3204	24	11	a	a	DET
fis-3204	24	12	result	result	NOUN
fis-3204	24	13	of	of	ADP
fis-3204	24	14	crack	crack	NOUN
fis-3204	24	15	s	s	PART
fis-3204	24	16	https://youtu.be/li-4znau3	https://youtu.be/li-4znau3	NOUN
fis-3204	24	17	ha	ha	INTJ
fis-3204	24	18	e.s.m.m	e.s.m.m	PROPN
fis-3204	24	19	.	.	PROPN
fis-3204	24	20	soliman	soliman	PROPN
fis-3204	24	21	,	,	PUNCT
fis-3204	24	22	frattura	frattura	PROPN
fis-3204	24	23	ed	ed	PROPN
fis-3204	24	24	integrità	integrità	PROPN
fis-3204	24	25	strutturale	strutturale	PROPN
fis-3204	24	26	,	,	PUNCT
fis-3204	24	27	58	58	NUM
fis-3204	24	28	(	(	PUNCT
fis-3204	24	29	2021	2021	NUM
fis-3204	24	30	)	)	PUNCT
fis-3204	24	31	151	151	NUM
fis-3204	24	32	-	-	SYM
fis-3204	24	33	165	165	NUM
fis-3204	24	34	;	;	PUNCT
fis-3204	24	35	doi	doi	NOUN
fis-3204	24	36	:	:	PUNCT
fis-3204	24	37	10.3221	10.3221	NUM
fis-3204	24	38	/	/	SYM
fis-3204	24	39	igf	igf	PROPN
fis-3204	24	40	-	-	PROPN
fis-3204	24	41	esis.58.11	esis.58.11	PROPN
fis-3204	24	42	152	152	NUM
fis-3204	24	43	and	and	CCONJ
fis-3204	24	44	by	by	ADP
fis-3204	24	45	measuring	measure	VERB
fis-3204	24	46	the	the	DET
fis-3204	24	47	change	change	NOUN
fis-3204	24	48	in	in	ADP
fis-3204	24	49	the	the	DET
fis-3204	24	50	natural	natural	ADJ
fis-3204	24	51	frequencies	frequency	NOUN
fis-3204	24	52	of	of	ADP
fis-3204	24	53	the	the	DET
fis-3204	24	54	component	component	NOUN
fis-3204	24	55	due	due	ADP
fis-3204	24	56	to	to	PART
fis-3204	24	57	crack	crack	VERB
fis-3204	24	58	,	,	PUNCT
fis-3204	24	59	many	many	ADJ
fis-3204	24	60	methods	method	NOUN
fis-3204	24	61	have	have	AUX
fis-3204	24	62	been	be	AUX
fis-3204	24	63	developed	develop	VERB
fis-3204	24	64	to	to	PART
fis-3204	24	65	identify	identify	VERB
fis-3204	24	66	the	the	DET
fis-3204	24	67	crack	crack	NOUN
fis-3204	24	68	[	[	X
fis-3204	24	69	7	7	NUM
fis-3204	24	70	]	]	PUNCT
fis-3204	24	71	.	.	PUNCT
fis-3204	25	1	the	the	DET
fis-3204	25	2	complex	complex	ADJ
fis-3204	25	3	structures	structure	NOUN
fis-3204	25	4	are	be	AUX
fis-3204	25	5	decomposed	decompose	VERB
fis-3204	25	6	into	into	ADP
fis-3204	25	7	simple	simple	ADJ
fis-3204	25	8	elements	element	NOUN
fis-3204	25	9	such	such	ADJ
fis-3204	25	10	as	as	ADP
fis-3204	25	11	beams	beam	NOUN
fis-3204	25	12	,	,	PUNCT
fis-3204	25	13	columns	column	NOUN
fis-3204	25	14	and	and	CCONJ
fis-3204	25	15	plates	plate	NOUN
fis-3204	25	16	using	use	VERB
fis-3204	25	17	the	the	DET
fis-3204	25	18	structural	structural	ADJ
fis-3204	25	19	elements	element	NOUN
fis-3204	25	20	during	during	ADP
fis-3204	25	21	the	the	DET
fis-3204	25	22	machine	machine	NOUN
fis-3204	25	23	design	design	NOUN
fis-3204	25	24	process	process	NOUN
fis-3204	25	25	and	and	CCONJ
fis-3204	25	26	the	the	DET
fis-3204	25	27	functioning	functioning	NOUN
fis-3204	25	28	of	of	ADP
fis-3204	25	29	the	the	DET
fis-3204	25	30	whole	whole	ADJ
fis-3204	25	31	machine	machine	NOUN
fis-3204	25	32	may	may	AUX
fis-3204	25	33	stop	stop	VERB
fis-3204	25	34	due	due	ADJ
fis-3204	25	35	to	to	ADP
fis-3204	25	36	failure	failure	NOUN
fis-3204	25	37	of	of	ADP
fis-3204	25	38	any	any	DET
fis-3204	25	39	small	small	ADJ
fis-3204	25	40	component	component	NOUN
fis-3204	26	1	[	[	X
fis-3204	26	2	9	9	NUM
fis-3204	26	3	]	]	PUNCT
fis-3204	26	4	.	.	PUNCT
fis-3204	27	1	khalkar	khalkar	PROPN
fis-3204	27	2	and	and	CCONJ
fis-3204	27	3	ramachandran	ramachandran	PROPN
fis-3204	28	1	[	[	X
fis-3204	28	2	10	10	NUM
fis-3204	28	3	]	]	PUNCT
fis-3204	28	4	carried	carry	VERB
fis-3204	28	5	out	out	ADP
fis-3204	28	6	static	static	ADJ
fis-3204	28	7	and	and	CCONJ
fis-3204	28	8	modal	modal	ADJ
fis-3204	28	9	analyses	analysis	NOUN
fis-3204	28	10	for	for	ADP
fis-3204	28	11	intact	intact	ADJ
fis-3204	28	12	and	and	CCONJ
fis-3204	28	13	cracked	crack	VERB
fis-3204	28	14	cantilever	cantilever	NOUN
fis-3204	28	15	beam	beam	NOUN
fis-3204	28	16	by	by	ADP
fis-3204	28	17	ansys	ansys	PROPN
fis-3204	28	18	software	software	PROPN
fis-3204	28	19	to	to	PART
fis-3204	28	20	get	get	VERB
fis-3204	28	21	static	static	ADJ
fis-3204	28	22	deflection	deflection	NOUN
fis-3204	28	23	and	and	CCONJ
fis-3204	28	24	natural	natural	ADJ
fis-3204	28	25	frequency	frequency	NOUN
fis-3204	28	26	.	.	PUNCT
fis-3204	29	1	they	they	PRON
fis-3204	29	2	determined	determine	VERB
fis-3204	29	3	stiffness	stiffness	NOUN
fis-3204	29	4	of	of	ADP
fis-3204	29	5	intact	intact	ADJ
fis-3204	29	6	and	and	CCONJ
fis-3204	29	7	various	various	ADJ
fis-3204	29	8	cracked	crack	VERB
fis-3204	29	9	cases	case	NOUN
fis-3204	29	10	of	of	ADP
fis-3204	29	11	a	a	DET
fis-3204	29	12	cantilever	cantilever	NOUN
fis-3204	29	13	beam	beam	NOUN
fis-3204	29	14	based	base	VERB
fis-3204	29	15	on	on	ADP
fis-3204	29	16	results	result	NOUN
fis-3204	29	17	of	of	ADP
fis-3204	29	18	ansys	ansys	PROPN
fis-3204	29	19	static	static	PROPN
fis-3204	29	20	deflection	deflection	NOUN
fis-3204	29	21	.	.	PUNCT
fis-3204	30	1	through	through	ADP
fis-3204	30	2	this	this	DET
fis-3204	30	3	research	research	NOUN
fis-3204	30	4	study	study	NOUN
fis-3204	30	5	[	[	X
fis-3204	30	6	10	10	NUM
fis-3204	30	7	]	]	PUNCT
fis-3204	30	8	,	,	PUNCT
fis-3204	30	9	it	it	PRON
fis-3204	30	10	is	be	AUX
fis-3204	30	11	found	find	VERB
fis-3204	30	12	that	that	SCONJ
fis-3204	30	13	when	when	SCONJ
fis-3204	30	14	the	the	DET
fis-3204	30	15	crack	crack	NOUN
fis-3204	30	16	position	position	NOUN
fis-3204	30	17	is	be	AUX
fis-3204	30	18	kept	keep	VERB
fis-3204	30	19	constant	constant	ADJ
fis-3204	30	20	and	and	CCONJ
fis-3204	30	21	crack	crack	VERB
fis-3204	30	22	depth	depth	NOUN
fis-3204	30	23	is	be	AUX
fis-3204	30	24	increased	increase	VERB
fis-3204	30	25	,	,	PUNCT
fis-3204	30	26	then	then	ADV
fis-3204	30	27	stiffness	stiffness	NOUN
fis-3204	30	28	of	of	ADP
fis-3204	30	29	the	the	DET
fis-3204	30	30	beam	beam	NOUN
fis-3204	30	31	decreases	decrease	NOUN
fis-3204	30	32	and	and	CCONJ
fis-3204	30	33	when	when	SCONJ
fis-3204	30	34	the	the	DET
fis-3204	30	35	crack	crack	NOUN
fis-3204	30	36	depth	depth	NOUN
fis-3204	30	37	is	be	AUX
fis-3204	30	38	kept	keep	VERB
fis-3204	30	39	constant	constant	ADJ
fis-3204	30	40	and	and	CCONJ
fis-3204	30	41	crack	crack	VERB
fis-3204	30	42	position	position	NOUN
fis-3204	30	43	is	be	AUX
fis-3204	30	44	varied	varied	ADJ
fis-3204	30	45	from	from	ADP
fis-3204	30	46	the	the	DET
fis-3204	30	47	fixed	fixed	ADJ
fis-3204	30	48	end	end	NOUN
fis-3204	30	49	,	,	PUNCT
fis-3204	30	50	then	then	ADV
fis-3204	30	51	stiffness	stiffness	NOUN
fis-3204	30	52	of	of	ADP
fis-3204	30	53	the	the	DET
fis-3204	30	54	beam	beam	NOUN
fis-3204	30	55	increases	increase	NOUN
fis-3204	30	56	.	.	PUNCT
fis-3204	31	1	in	in	ADP
fis-3204	31	2	this	this	DET
fis-3204	31	3	work	work	NOUN
fis-3204	31	4	,	,	PUNCT
fis-3204	31	5	the	the	DET
fis-3204	31	6	damaged	damage	VERB
fis-3204	31	7	simply	simply	ADV
fis-3204	31	8	supported	support	VERB
fis-3204	31	9	beam	beam	NOUN
fis-3204	31	10	with	with	ADP
fis-3204	31	11	single	single	ADJ
fis-3204	31	12	edge	edge	NOUN
fis-3204	31	13	crack	crack	NOUN
fis-3204	31	14	is	be	AUX
fis-3204	31	15	investigated	investigate	VERB
fis-3204	31	16	for	for	ADP
fis-3204	31	17	its	its	PRON
fis-3204	31	18	natural	natural	ADJ
fis-3204	31	19	frequencies	frequency	NOUN
fis-3204	31	20	of	of	ADP
fis-3204	31	21	bending	bend	VERB
fis-3204	31	22	vibration	vibration	NOUN
fis-3204	31	23	modes	mode	NOUN
fis-3204	31	24	,	,	PUNCT
fis-3204	31	25	mode	mode	NOUN
fis-3204	31	26	shape	shape	NOUN
fis-3204	31	27	pattern	pattern	NOUN
fis-3204	31	28	of	of	ADP
fis-3204	31	29	bending	bend	VERB
fis-3204	31	30	vibration	vibration	NOUN
fis-3204	31	31	,	,	PUNCT
fis-3204	31	32	static	static	ADJ
fis-3204	31	33	deflection	deflection	NOUN
fis-3204	31	34	and	and	CCONJ
fis-3204	31	35	stiffness	stiffness	NOUN
fis-3204	31	36	to	to	PART
fis-3204	31	37	study	study	VERB
fis-3204	31	38	crack	crack	NOUN
fis-3204	31	39	damage	damage	NOUN
fis-3204	31	40	severity	severity	NOUN
fis-3204	31	41	.	.	PUNCT
fis-3204	32	1	also	also	ADV
fis-3204	32	2	,	,	PUNCT
fis-3204	32	3	the	the	DET
fis-3204	32	4	correlation	correlation	NOUN
fis-3204	32	5	between	between	ADP
fis-3204	32	6	results	result	NOUN
fis-3204	32	7	of	of	ADP
fis-3204	32	8	crack	crack	NOUN
fis-3204	32	9	damage	damage	NOUN
fis-3204	32	10	severity	severity	NOUN
fis-3204	32	11	and	and	CCONJ
fis-3204	32	12	results	result	NOUN
fis-3204	32	13	of	of	ADP
fis-3204	32	14	dynamic	dynamic	ADJ
fis-3204	32	15	and	and	CCONJ
fis-3204	32	16	static	static	ADJ
fis-3204	32	17	parameters	parameter	NOUN
fis-3204	32	18	are	be	AUX
fis-3204	32	19	investigated	investigate	VERB
fis-3204	32	20	.	.	PUNCT
fis-3204	33	1	methodology	methodology	NOUN
fis-3204	33	2	n	n	CCONJ
fis-3204	33	3	this	this	DET
fis-3204	33	4	study	study	NOUN
fis-3204	33	5	,	,	PUNCT
fis-3204	33	6	the	the	DET
fis-3204	33	7	cracked	crack	VERB
fis-3204	33	8	simply	simply	ADV
fis-3204	33	9	supported	support	VERB
fis-3204	33	10	beam	beam	NOUN
fis-3204	33	11	is	be	AUX
fis-3204	33	12	considered	consider	VERB
fis-3204	33	13	as	as	ADP
fis-3204	33	14	an	an	DET
fis-3204	33	15	euler	euler	NOUN
fis-3204	33	16	–	–	PUNCT
fis-3204	33	17	bernoulli	bernoulli	NOUN
fis-3204	33	18	beam	beam	NOUN
fis-3204	33	19	.	.	PUNCT
fis-3204	34	1	the	the	DET
fis-3204	34	2	crack	crack	NOUN
fis-3204	34	3	is	be	AUX
fis-3204	34	4	uniformly	uniformly	ADV
fis-3204	34	5	extending	extend	VERB
fis-3204	34	6	along	along	ADP
fis-3204	34	7	the	the	DET
fis-3204	34	8	damaged	damage	VERB
fis-3204	34	9	beam	beam	NOUN
fis-3204	34	10	width	width	NOUN
fis-3204	34	11	and	and	CCONJ
fis-3204	34	12	the	the	DET
fis-3204	34	13	crack	crack	NOUN
fis-3204	34	14	is	be	AUX
fis-3204	34	15	considered	consider	VERB
fis-3204	34	16	as	as	ADP
fis-3204	34	17	fully	fully	ADV
fis-3204	34	18	open	open	ADJ
fis-3204	34	19	edge	edge	NOUN
fis-3204	34	20	.	.	PUNCT
fis-3204	35	1	the	the	DET
fis-3204	35	2	material	material	NOUN
fis-3204	35	3	of	of	ADP
fis-3204	35	4	damaged	damaged	ADJ
fis-3204	35	5	and	and	CCONJ
fis-3204	35	6	undamaged	undamaged	ADJ
fis-3204	35	7	beams	beam	NOUN
fis-3204	35	8	used	use	VERB
fis-3204	35	9	in	in	ADP
fis-3204	35	10	the	the	DET
fis-3204	35	11	analysis	analysis	NOUN
fis-3204	35	12	is	be	AUX
fis-3204	35	13	considered	consider	VERB
fis-3204	35	14	as	as	ADP
fis-3204	35	15	isotropic	isotropic	NOUN
fis-3204	35	16	and	and	CCONJ
fis-3204	35	17	homogeneous	homogeneous	ADJ
fis-3204	35	18	.	.	PUNCT
fis-3204	36	1	the	the	DET
fis-3204	36	2	governing	govern	VERB
fis-3204	36	3	differential	differential	ADJ
fis-3204	36	4	equation	equation	NOUN
fis-3204	36	5	of	of	ADP
fis-3204	36	6	the	the	DET
fis-3204	36	7	free	free	ADJ
fis-3204	36	8	transverse	transverse	NOUN
fis-3204	36	9	vibration	vibration	NOUN
fis-3204	36	10	of	of	ADP
fis-3204	36	11	an	an	DET
fis-3204	36	12	undamaged	undamaged	ADJ
fis-3204	36	13	euler	euler	PROPN
fis-3204	36	14	-	-	PUNCT
fis-3204	36	15	bernoulli	bernoulli	PROPN
fis-3204	36	16	beam	beam	NOUN
fis-3204	36	17	without	without	ADP
fis-3204	36	18	crack	crack	NOUN
fis-3204	36	19	which	which	PRON
fis-3204	36	20	is	be	AUX
fis-3204	36	21	uniform	uniform	ADJ
fis-3204	36	22	,	,	PUNCT
fis-3204	36	23	isotropic	isotropic	ADJ
fis-3204	36	24	and	and	CCONJ
fis-3204	36	25	homogeneous	homogeneous	ADJ
fis-3204	36	26	can	can	AUX
fis-3204	36	27	be	be	AUX
fis-3204	36	28	written	write	VERB
fis-3204	36	29	as	as	ADP
fis-3204	36	30	[	[	X
fis-3204	36	31	11	11	NUM
fis-3204	36	32	]	]	SYM
fis-3204	36	33	:	:	PUNCT
fis-3204	36	34			NOUN
fis-3204	36	35			PROPN
fis-3204	36	36			PROPN
fis-3204	36	37			PROPN
fis-3204	36	38			PROPN
fis-3204	36	39			VERB
fis-3204	37	1			PROPN
fis-3204	37	2			ADJ
fis-3204	37	3			ADJ
fis-3204	37	4	4	4	NUM
fis-3204	37	5	2	2	NUM
fis-3204	37	6	,	,	PUNCT
fis-3204	37	7	,	,	PUNCT
fis-3204	37	8	04	04	NUM
fis-3204	37	9	2	2	NUM
fis-3204	37	10	y	y	NOUN
fis-3204	37	11	x	x	SYM
fis-3204	37	12	t	t	NOUN
fis-3204	37	13	y	y	PROPN
fis-3204	37	14	x	x	SYM
fis-3204	37	15	ta	ta	PROPN
fis-3204	37	16	eix	eix	PROPN
fis-3204	37	17	t	t	PROPN
fis-3204	37	18	(	(	PUNCT
fis-3204	37	19	1	1	NUM
fis-3204	37	20	)	)	PUNCT
fis-3204	37	21	where	where	SCONJ
fis-3204	37	22	the	the	DET
fis-3204	37	23	origin	origin	NOUN
fis-3204	37	24	of	of	ADP
fis-3204	37	25	x	x	PUNCT
fis-3204	37	26	and	and	CCONJ
fis-3204	37	27	y	y	PROPN
fis-3204	37	28	is	be	AUX
fis-3204	37	29	at	at	ADP
fis-3204	37	30	left	left	ADJ
fis-3204	37	31	end	end	NOUN
fis-3204	37	32	of	of	ADP
fis-3204	37	33	the	the	DET
fis-3204	37	34	beam	beam	NOUN
fis-3204	37	35	,	,	PUNCT
fis-3204	37	36	y(x	y(x	PROPN
fis-3204	37	37	,	,	PUNCT
fis-3204	37	38	t	t	PROPN
fis-3204	37	39	)	)	PUNCT
fis-3204	37	40	is	be	AUX
fis-3204	37	41	the	the	DET
fis-3204	37	42	function	function	NOUN
fis-3204	37	43	of	of	ADP
fis-3204	37	44	the	the	DET
fis-3204	37	45	transverse	transverse	NOUN
fis-3204	37	46	displacements	displacement	NOUN
fis-3204	37	47	,	,	PUNCT
fis-3204	37	48	e	e	PROPN
fis-3204	37	49	is	be	AUX
fis-3204	37	50	modulus	modulus	NOUN
fis-3204	37	51	of	of	ADP
fis-3204	37	52	elasticity	elasticity	NOUN
fis-3204	37	53	,	,	PUNCT
fis-3204	37	54	i	i	PRON
fis-3204	37	55	is	be	AUX
fis-3204	37	56	the	the	DET
fis-3204	37	57	area	area	NOUN
fis-3204	37	58	moment	moment	NOUN
fis-3204	37	59	of	of	ADP
fis-3204	37	60	inertia	inertia	NOUN
fis-3204	37	61	,	,	PUNCT
fis-3204	37	62	ρ	ρ	PROPN
fis-3204	37	63	is	be	AUX
fis-3204	37	64	mass	mass	ADJ
fis-3204	37	65	density	density	NOUN
fis-3204	37	66	,	,	PUNCT
fis-3204	37	67	a	a	PRON
fis-3204	37	68	is	be	AUX
fis-3204	37	69	the	the	DET
fis-3204	37	70	cross	cross	ADJ
fis-3204	37	71	-	-	ADJ
fis-3204	37	72	sectional	sectional	ADJ
fis-3204	37	73	area	area	NOUN
fis-3204	37	74	and	and	CCONJ
fis-3204	37	75	t	t	PROPN
fis-3204	37	76	is	be	AUX
fis-3204	37	77	time	time	NOUN
fis-3204	37	78	.	.	PUNCT
fis-3204	38	1	according	accord	VERB
fis-3204	38	2	to	to	ADP
fis-3204	38	3	[	[	X
fis-3204	38	4	12	12	NUM
fis-3204	38	5	]	]	PUNCT
fis-3204	38	6	,	,	PUNCT
fis-3204	38	7	for	for	ADP
fis-3204	38	8	solution	solution	NOUN
fis-3204	38	9	eqn	eqn	NOUN
fis-3204	38	10	.	.	PUNCT
fis-3204	39	1	(	(	PUNCT
fis-3204	39	2	1	1	NUM
fis-3204	39	3	)	)	PUNCT
fis-3204	39	4	,	,	PUNCT
fis-3204	39	5	assume	assume	VERB
fis-3204	39	6	that	that	SCONJ
fis-3204	39	7	:	:	PUNCT
fis-3204	39	8			NOUN
fis-3204	39	9			SYM
fis-3204	39	10			NOUN
fis-3204	39	11			PROPN
fis-3204	39	12			PROPN
fis-3204	39	13	,	,	PUNCT
fis-3204	39	14	j	j	PROPN
fis-3204	40	1	ty	ty	INTJ
fis-3204	40	2	x	x	SYM
fis-3204	40	3	t	t	NOUN
fis-3204	40	4	y	y	PROPN
fis-3204	40	5	x	x	SYM
fis-3204	40	6	e	e	X
fis-3204	40	7	(	(	PUNCT
fis-3204	40	8	2	2	NUM
fis-3204	40	9	)	)	PUNCT
fis-3204	40	10	where	where	SCONJ
fis-3204	40	11			PROPN
fis-3204	40	12	1j	1j	PROPN
fis-3204	40	13	,	,	PUNCT
fis-3204	40	14	ω	ω	PROPN
fis-3204	40	15	is	be	AUX
fis-3204	40	16	natural	natural	ADJ
fis-3204	40	17	frequency	frequency	NOUN
fis-3204	40	18	of	of	ADP
fis-3204	40	19	the	the	DET
fis-3204	40	20	beam	beam	NOUN
fis-3204	40	21	.	.	PUNCT
fis-3204	41	1	by	by	ADP
fis-3204	41	2	substituting	substitute	VERB
fis-3204	41	3	eqn	eqn	NOUN
fis-3204	41	4	.	.	PUNCT
fis-3204	42	1	(	(	PUNCT
fis-3204	42	2	2	2	X
fis-3204	42	3	)	)	PUNCT
fis-3204	42	4	into	into	ADP
fis-3204	42	5	eqn	eqn	NOUN
fis-3204	42	6	.	.	PUNCT
fis-3204	43	1	(	(	PUNCT
fis-3204	43	2	1	1	NUM
fis-3204	43	3	)	)	PUNCT
fis-3204	43	4	,	,	PUNCT
fis-3204	43	5	then	then	ADV
fis-3204	43	6	eqn	eqn	VERB
fis-3204	43	7	.	.	PUNCT
fis-3204	44	1	(	(	PUNCT
fis-3204	44	2	3	3	X
fis-3204	44	3	)	)	PUNCT
fis-3204	44	4	can	can	AUX
fis-3204	44	5	be	be	AUX
fis-3204	44	6	expressed	express	VERB
fis-3204	44	7	as	as	ADP
fis-3204	44	8	[	[	X
fis-3204	44	9	12	12	NUM
fis-3204	44	10	]	]	X
fis-3204	44	11	:	:	PUNCT
fis-3204	44	12			NOUN
fis-3204	44	13			SYM
fis-3204	44	14			NOUN
fis-3204	44	15			PUNCT
fis-3204	44	16			ADJ
fis-3204	44	17			X
fis-3204	44	18			PROPN
fis-3204	44	19			VERB
fis-3204	44	20			PROPN
fis-3204	44	21			ADJ
fis-3204	44	22	4	4	NUM
fis-3204	44	23	4	4	NUM
fis-3204	44	24	04	04	NUM
fis-3204	45	1	y	y	NOUN
fis-3204	45	2	y	y	PROPN
fis-3204	45	3	x	x	X
fis-3204	45	4	(	(	PUNCT
fis-3204	45	5	3	3	NUM
fis-3204	45	6	)	)	PUNCT
fis-3204	45	7			PROPN
fis-3204	45	8			ADJ
fis-3204	45	9			NOUN
fis-3204	45	10			PROPN
fis-3204	45	11			PROPN
fis-3204	45	12			PROPN
fis-3204	45	13			NOUN
fis-3204	46	1			PROPN
fis-3204	46	2			ADJ
fis-3204	46	3			NOUN
fis-3204	46	4	1	1	NUM
fis-3204	46	5	42	42	NUM
fis-3204	46	6	4al	4al	NOUN
fis-3204	46	7	ei	ei	NOUN
fis-3204	46	8	(	(	PUNCT
fis-3204	46	9	4	4	NUM
fis-3204	46	10	)	)	PUNCT
fis-3204	46	11	where	where	SCONJ
fis-3204	46	12	ζ	ζ	NOUN
fis-3204	46	13	=	=	SYM
fis-3204	46	14	x	x	SYM
fis-3204	46	15	/	/	SYM
fis-3204	46	16	l	l	NOUN
fis-3204	46	17	is	be	AUX
fis-3204	46	18	normalized	normalize	VERB
fis-3204	46	19	location	location	NOUN
fis-3204	46	20	,	,	PUNCT
fis-3204	46	21	x	x	X
fis-3204	46	22	is	be	AUX
fis-3204	46	23	the	the	DET
fis-3204	46	24	coordinate	coordinate	NOUN
fis-3204	46	25	and	and	CCONJ
fis-3204	46	26	its	its	PRON
fis-3204	46	27	origin	origin	NOUN
fis-3204	46	28	at	at	ADP
fis-3204	46	29	left	left	ADJ
fis-3204	46	30	end	end	NOUN
fis-3204	46	31	of	of	ADP
fis-3204	46	32	beam	beam	NOUN
fis-3204	46	33	and	and	CCONJ
fis-3204	46	34	λ	λ	PROPN
fis-3204	46	35	is	be	AUX
fis-3204	46	36	non	non	ADJ
fis-3204	46	37	-	-	ADJ
fis-3204	46	38	dimensional	dimensional	ADJ
fis-3204	46	39	frequency	frequency	NOUN
fis-3204	46	40	parameter	parameter	NOUN
fis-3204	46	41	.	.	PUNCT
fis-3204	47	1	according	accord	VERB
fis-3204	47	2	to	to	ADP
fis-3204	47	3	[	[	X
fis-3204	47	4	12	12	NUM
fis-3204	47	5	]	]	PUNCT
fis-3204	47	6	,	,	PUNCT
fis-3204	47	7	the	the	DET
fis-3204	47	8	general	general	ADJ
fis-3204	47	9	solution	solution	NOUN
fis-3204	47	10	of	of	ADP
fis-3204	47	11	eqn	eqn	PROPN
fis-3204	47	12	.	.	PUNCT
fis-3204	48	1	(	(	PUNCT
fis-3204	48	2	3	3	X
fis-3204	48	3	)	)	PUNCT
fis-3204	48	4	can	can	AUX
fis-3204	48	5	be	be	AUX
fis-3204	48	6	written	write	VERB
fis-3204	48	7	as	as	ADP
fis-3204	48	8	the	the	DET
fis-3204	48	9	following	follow	VERB
fis-3204	48	10	:	:	PUNCT
fis-3204	48	11			NOUN
fis-3204	48	12			PROPN
fis-3204	48	13			NOUN
fis-3204	48	14			SYM
fis-3204	48	15			NOUN
fis-3204	49	1			SYM
fis-3204	49	2			NOUN
fis-3204	49	3			SYM
fis-3204	49	4			NOUN
fis-3204	49	5			PUNCT
fis-3204	49	6			VERB
fis-3204	49	7			PUNCT
fis-3204	49	8			ADJ
fis-3204	49	9			NUM
fis-3204	49	10			ADJ
fis-3204	49	11			X
fis-3204	49	12	cos	cos	X
fis-3204	49	13	sin	sin	NOUN
fis-3204	49	14	cosh	cosh	NOUN
fis-3204	49	15	sinhy	sinhy	NOUN
fis-3204	49	16	a	a	DET
fis-3204	49	17	b	b	NOUN
fis-3204	49	18	c	c	X
fis-3204	49	19	d	d	X
fis-3204	49	20	(	(	PUNCT
fis-3204	49	21	5	5	NUM
fis-3204	49	22	)	)	PUNCT
fis-3204	49	23	the	the	DET
fis-3204	49	24	damaged	damage	VERB
fis-3204	49	25	beam	beam	NOUN
fis-3204	49	26	can	can	AUX
fis-3204	49	27	be	be	AUX
fis-3204	49	28	simulated	simulate	VERB
fis-3204	49	29	as	as	ADP
fis-3204	49	30	two	two	NUM
fis-3204	49	31	uniform	uniform	ADJ
fis-3204	49	32	beam	beam	NOUN
fis-3204	49	33	segments	segment	NOUN
fis-3204	49	34	,	,	PUNCT
fis-3204	49	35	joined	join	VERB
fis-3204	49	36	by	by	ADP
fis-3204	49	37	a	a	DET
fis-3204	49	38	torsional	torsional	ADJ
fis-3204	49	39	spring	spring	NOUN
fis-3204	49	40	at	at	ADP
fis-3204	49	41	the	the	DET
fis-3204	49	42	position	position	NOUN
fis-3204	49	43	of	of	ADP
fis-3204	49	44	crack	crack	NOUN
fis-3204	49	45	[	[	X
fis-3204	49	46	13	13	NUM
fis-3204	49	47	]	]	PUNCT
fis-3204	49	48	.	.	PUNCT
fis-3204	50	1	the	the	DET
fis-3204	50	2	modes	mode	NOUN
fis-3204	50	3	of	of	ADP
fis-3204	50	4	harmonic	harmonic	ADJ
fis-3204	50	5	vibration	vibration	NOUN
fis-3204	50	6	for	for	ADP
fis-3204	50	7	these	these	DET
fis-3204	50	8	two	two	NUM
fis-3204	50	9	beam	beam	NOUN
fis-3204	50	10	segments	segment	NOUN
fis-3204	50	11	can	can	AUX
fis-3204	50	12	be	be	AUX
fis-3204	50	13	written	write	VERB
fis-3204	50	14	as	as	ADP
fis-3204	50	15	[	[	X
fis-3204	50	16	12	12	NUM
fis-3204	50	17	]	]	X
fis-3204	50	18	:	:	PUNCT
fis-3204	50	19	i	i	PRON
fis-3204	50	20	e.s.m.m	e.s.m.m	PROPN
fis-3204	50	21	.	.	PROPN
fis-3204	50	22	soliman	soliman	PROPN
fis-3204	50	23	,	,	PUNCT
fis-3204	50	24	frattura	frattura	PROPN
fis-3204	50	25	ed	ed	PROPN
fis-3204	50	26	integrità	integrità	PROPN
fis-3204	50	27	strutturale	strutturale	PROPN
fis-3204	50	28	,	,	PUNCT
fis-3204	50	29	58	58	NUM
fis-3204	50	30	(	(	PUNCT
fis-3204	50	31	2021	2021	NUM
fis-3204	50	32	)	)	PUNCT
fis-3204	50	33	151	151	NUM
fis-3204	50	34	-	-	SYM
fis-3204	50	35	165	165	NUM
fis-3204	50	36	;	;	PUNCT
fis-3204	50	37	doi	doi	NOUN
fis-3204	50	38	:	:	PUNCT
fis-3204	51	1	10.3221	10.3221	NUM
fis-3204	51	2	/	/	SYM
fis-3204	51	3	igf	igf	PROPN
fis-3204	51	4	-	-	PROPN
fis-3204	51	5	esis.58.11	esis.58.11	PROPN
fis-3204	51	6	153	153	NUM
fis-3204	51	7			NOUN
fis-3204	51	8			SYM
fis-3204	51	9			NOUN
fis-3204	51	10			SYM
fis-3204	51	11			NOUN
fis-3204	51	12			SYM
fis-3204	51	13			NOUN
fis-3204	51	14			SYM
fis-3204	51	15			NOUN
fis-3204	51	16			PUNCT
fis-3204	51	17			VERB
fis-3204	51	18			PUNCT
fis-3204	51	19			ADJ
fis-3204	51	20			NUM
fis-3204	51	21			ADJ
fis-3204	51	22			X
fis-3204	51	23	cos	cos	X
fis-3204	51	24	sin	sin	NOUN
fis-3204	51	25	cosh	cosh	NOUN
fis-3204	51	26	sinh1	sinh1	NOUN
fis-3204	51	27	1	1	NUM
fis-3204	51	28	1	1	NUM
fis-3204	51	29	1	1	NUM
fis-3204	51	30	1y	1y	NUM
fis-3204	51	31	a	a	DET
fis-3204	51	32	b	b	NOUN
fis-3204	51	33	c	c	NOUN
fis-3204	51	34	d	d	X
fis-3204	51	35	(	(	PUNCT
fis-3204	51	36	6	6	NUM
fis-3204	51	37	)	)	PUNCT
fis-3204	51	38			NOUN
fis-3204	51	39			SYM
fis-3204	51	40			NOUN
fis-3204	51	41			SYM
fis-3204	51	42			NOUN
fis-3204	51	43			SYM
fis-3204	51	44			NOUN
fis-3204	51	45			SYM
fis-3204	51	46			NOUN
fis-3204	51	47			PUNCT
fis-3204	51	48			VERB
fis-3204	51	49			PUNCT
fis-3204	51	50			ADJ
fis-3204	51	51			NUM
fis-3204	51	52			ADJ
fis-3204	51	53			X
fis-3204	51	54	cos	cos	X
fis-3204	51	55	sin	sin	NOUN
fis-3204	51	56	cosh	cosh	PROPN
fis-3204	51	57	sinh2	sinh2	NOUN
fis-3204	51	58	2	2	NUM
fis-3204	51	59	2	2	NUM
fis-3204	51	60	2	2	NUM
fis-3204	51	61	2y	2y	NUM
fis-3204	51	62	a	a	DET
fis-3204	51	63	b	b	NOUN
fis-3204	51	64	c	c	NOUN
fis-3204	51	65	d	d	X
fis-3204	51	66	(	(	PUNCT
fis-3204	51	67	7	7	NUM
fis-3204	51	68	)	)	PUNCT
fis-3204	51	69	where	where	SCONJ
fis-3204	51	70	ai	ai	VERB
fis-3204	51	71	and	and	CCONJ
fis-3204	51	72	bi	bi	ADJ
fis-3204	51	73	,	,	PUNCT
fis-3204	51	74	i=1	i=1	PROPN
fis-3204	51	75	,	,	PUNCT
fis-3204	51	76	2	2	NUM
fis-3204	51	77	,	,	PUNCT
fis-3204	51	78	3	3	NUM
fis-3204	51	79	,	,	PUNCT
fis-3204	51	80	4	4	NUM
fis-3204	51	81	,	,	PUNCT
fis-3204	51	82	are	be	AUX
fis-3204	51	83	coefficients	coefficient	NOUN
fis-3204	51	84	can	can	AUX
fis-3204	51	85	be	be	AUX
fis-3204	51	86	obtained	obtain	VERB
fis-3204	51	87	from	from	ADP
fis-3204	51	88	the	the	DET
fis-3204	51	89	boundary	boundary	ADJ
fis-3204	51	90	conditions	condition	NOUN
fis-3204	51	91	.	.	PUNCT
fis-3204	52	1	the	the	DET
fis-3204	52	2	boundary	boundary	ADJ
fis-3204	52	3	conditions	condition	NOUN
fis-3204	52	4	for	for	ADP
fis-3204	52	5	the	the	DET
fis-3204	52	6	simply	simply	ADV
fis-3204	52	7	supported	support	VERB
fis-3204	52	8	beam	beam	NOUN
fis-3204	52	9	at	at	ADP
fis-3204	52	10	the	the	DET
fis-3204	52	11	supports	support	NOUN
fis-3204	52	12	are	be	AUX
fis-3204	52	13	[	[	X
fis-3204	52	14	12	12	NUM
fis-3204	52	15	]	]	PUNCT
fis-3204	52	16	at	at	ADP
fis-3204	52	17	the	the	DET
fis-3204	52	18	supports	support	NOUN
fis-3204	52	19	no	no	DET
fis-3204	52	20	displacement	displacement	NOUN
fis-3204	52	21	and	and	CCONJ
fis-3204	52	22	no	no	DET
fis-3204	52	23	moments	moment	NOUN
fis-3204	52	24	:	:	PUNCT
fis-3204	52	25			NOUN
fis-3204	52	26			NUM
fis-3204	52	27	01	01	NUM
fis-3204	52	28	0y	0y	NOUN
fis-3204	52	29	(	(	PUNCT
fis-3204	52	30	8)	8)	NUM
fis-3204	52	31			NOUN
fis-3204	52	32			NUM
fis-3204	52	33	02	02	NUM
fis-3204	52	34	1y	1y	NUM
fis-3204	52	35	(	(	PUNCT
fis-3204	52	36	9	9	NUM
fis-3204	52	37	)	)	PUNCT
fis-3204	52	38			NOUN
fis-3204	53	1			X
fis-3204	54	1			NOUN
fis-3204	54	2			NOUN
fis-3204	54	3	2	2	NUM
fis-3204	54	4	1	1	NUM
fis-3204	54	5	02	02	NUM
fis-3204	54	6	0	0	NUM
fis-3204	55	1	d	d	X
fis-3204	55	2	y	y	PROPN
fis-3204	55	3	d	d	PROPN
fis-3204	55	4	(	(	PUNCT
fis-3204	55	5	10	10	NUM
fis-3204	55	6	)	)	PUNCT
fis-3204	55	7			NOUN
fis-3204	56	1			X
fis-3204	57	1			NOUN
fis-3204	57	2			NOUN
fis-3204	57	3	2	2	NUM
fis-3204	57	4	2	2	NUM
fis-3204	57	5	02	02	NUM
fis-3204	57	6	1	1	NUM
fis-3204	57	7	d	d	SYM
fis-3204	57	8	y	y	PROPN
fis-3204	57	9	d	d	PROPN
fis-3204	57	10	(	(	PUNCT
fis-3204	57	11	11	11	NUM
fis-3204	57	12	)	)	PUNCT
fis-3204	57	13	if	if	SCONJ
fis-3204	57	14	ζ	ζ	NOUN
fis-3204	57	15	=	=	SYM
fis-3204	57	16	µ	µ	X
fis-3204	57	17	=	=	SYM
fis-3204	57	18	lc	lc	PROPN
fis-3204	57	19	/	/	SYM
fis-3204	57	20	l	l	NOUN
fis-3204	57	21	is	be	AUX
fis-3204	57	22	the	the	DET
fis-3204	57	23	normalized	normalize	VERB
fis-3204	57	24	crack	crack	NOUN
fis-3204	57	25	position	position	NOUN
fis-3204	57	26	,	,	PUNCT
fis-3204	57	27	lc	lc	PROPN
fis-3204	57	28	is	be	AUX
fis-3204	57	29	the	the	DET
fis-3204	57	30	crack	crack	NOUN
fis-3204	57	31	distance	distance	NOUN
fis-3204	57	32	from	from	ADP
fis-3204	57	33	left	left	ADJ
fis-3204	57	34	hand	hand	NOUN
fis-3204	57	35	support	support	NOUN
fis-3204	57	36	,	,	PUNCT
fis-3204	57	37	the	the	DET
fis-3204	57	38	continuity	continuity	NOUN
fis-3204	57	39	conditions	condition	NOUN
fis-3204	57	40	at	at	ADP
fis-3204	57	41	the	the	DET
fis-3204	57	42	crack	crack	NOUN
fis-3204	57	43	position	position	NOUN
fis-3204	57	44	are	be	AUX
fis-3204	57	45	[	[	X
fis-3204	57	46	12	12	NUM
fis-3204	57	47	]	]	NOUN
fis-3204	57	48	:	:	PUNCT
fis-3204	57	49	displacement	displacement	NOUN
fis-3204	57	50	:	:	PUNCT
fis-3204	57	51			X
fis-3204	57	52			NOUN
fis-3204	57	53			X
fis-3204	57	54			PROPN
fis-3204	57	55	1	1	ADJ
fis-3204	57	56	2y	2y	PROPN
fis-3204	57	57	y	y	PROPN
fis-3204	57	58	(	(	PUNCT
fis-3204	57	59	12	12	NUM
fis-3204	57	60	)	)	PUNCT
fis-3204	57	61	moment	moment	NOUN
fis-3204	57	62	:	:	PUNCT
fis-3204	57	63			X
fis-3204	57	64			SCONJ
fis-3204	57	65			NOUN
fis-3204	57	66			NOUN
fis-3204	57	67			NOUN
fis-3204	58	1			NOUN
fis-3204	59	1			NUM
fis-3204	59	2			NOUN
fis-3204	59	3	2	2	NUM
fis-3204	59	4	2	2	NUM
fis-3204	59	5	1	1	NUM
fis-3204	59	6	2	2	NUM
fis-3204	59	7	2	2	NUM
fis-3204	59	8	2	2	NUM
fis-3204	59	9	d	d	NOUN
fis-3204	59	10	y	y	PROPN
fis-3204	59	11	d	d	X
fis-3204	59	12	y	y	INTJ
fis-3204	59	13	ei	ei	INTJ
fis-3204	59	14	ei	ei	X
fis-3204	59	15	d	d	PROPN
fis-3204	59	16	d	d	PROPN
fis-3204	59	17	(	(	PUNCT
fis-3204	59	18	13	13	NUM
fis-3204	59	19	)	)	PUNCT
fis-3204	59	20	shear	shear	NOUN
fis-3204	59	21	force	force	NOUN
fis-3204	59	22	:	:	PUNCT
fis-3204	59	23			X
fis-3204	59	24			SCONJ
fis-3204	59	25			NOUN
fis-3204	59	26			NOUN
fis-3204	59	27			NOUN
fis-3204	60	1			NOUN
fis-3204	61	1			PRON
fis-3204	61	2			NUM
fis-3204	61	3	3	3	NUM
fis-3204	61	4	3	3	NUM
fis-3204	61	5	1	1	NUM
fis-3204	61	6	2	2	NUM
fis-3204	61	7	3	3	NUM
fis-3204	61	8	3	3	NUM
fis-3204	61	9	d	d	X
fis-3204	61	10	y	y	PROPN
fis-3204	61	11	d	d	X
fis-3204	61	12	y	y	INTJ
fis-3204	61	13	ei	ei	INTJ
fis-3204	61	14	ei	ei	X
fis-3204	61	15	d	d	PROPN
fis-3204	61	16	d	d	PROPN
fis-3204	61	17	(	(	PUNCT
fis-3204	61	18	14	14	NUM
fis-3204	61	19	)	)	PUNCT
fis-3204	61	20	compatibility	compatibility	NOUN
fis-3204	61	21	condition	condition	NOUN
fis-3204	61	22	i.e.	i.e.	ADV
fis-3204	61	23	,	,	PUNCT
fis-3204	61	24	jump	jump	VERB
fis-3204	61	25	in	in	ADP
fis-3204	61	26	the	the	DET
fis-3204	61	27	slope	slope	NOUN
fis-3204	61	28	at	at	ADP
fis-3204	61	29	the	the	DET
fis-3204	61	30	crack	crack	NOUN
fis-3204	61	31	location	location	NOUN
fis-3204	61	32	due	due	ADP
fis-3204	61	33	to	to	ADP
fis-3204	61	34	rotational	rotational	ADJ
fis-3204	61	35	flexibility	flexibility	NOUN
fis-3204	61	36	can	can	AUX
fis-3204	61	37	be	be	AUX
fis-3204	61	38	defined	define	VERB
fis-3204	61	39	as	as	ADP
fis-3204	61	40	[	[	X
fis-3204	61	41	14	14	NUM
fis-3204	61	42	]	]	SYM
fis-3204	61	43	:	:	PUNCT
fis-3204	61	44			PROPN
fis-3204	61	45			PUNCT
fis-3204	61	46			VERB
fis-3204	61	47			NOUN
fis-3204	61	48			X
fis-3204	61	49			NUM
fis-3204	61	50			NOUN
fis-3204	61	51			VERB
fis-3204	62	1			PROPN
fis-3204	62	2			NUM
fis-3204	62	3			NUM
fis-3204	62	4	2	2	NUM
fis-3204	62	5	1	1	NUM
fis-3204	62	6	1	1	NUM
fis-3204	62	7	2	2	NUM
fis-3204	62	8	2	2	NUM
fis-3204	62	9	dy	dy	NOUN
fis-3204	62	10	d	d	X
fis-3204	62	11	y	y	PROPN
fis-3204	62	12	dy	dy	NOUN
fis-3204	62	13	e	e	PROPN
fis-3204	62	14	ktd	ktd	PROPN
fis-3204	62	15	dd	dd	PROPN
fis-3204	62	16	(	(	PUNCT
fis-3204	62	17	15	15	NUM
fis-3204	62	18	)	)	PUNCT
fis-3204	62	19	kt	kt	PROPN
fis-3204	62	20	is	be	AUX
fis-3204	62	21	the	the	DET
fis-3204	62	22	bending	bend	VERB
fis-3204	62	23	spring	spring	NOUN
fis-3204	62	24	constant	constant	ADJ
fis-3204	62	25	at	at	ADP
fis-3204	62	26	cracked	crack	VERB
fis-3204	62	27	section	section	NOUN
fis-3204	62	28	and	and	CCONJ
fis-3204	62	29	it	it	PRON
fis-3204	62	30	is	be	AUX
fis-3204	62	31	,	,	PUNCT
fis-3204	62	32	originally	originally	ADV
fis-3204	62	33	calculated	calculate	VERB
fis-3204	62	34	by	by	ADP
fis-3204	62	35	[	[	X
fis-3204	62	36	15	15	NUM
fis-3204	62	37	]	]	PUNCT
fis-3204	62	38	and	and	CCONJ
fis-3204	62	39	can	can	AUX
fis-3204	62	40	be	be	AUX
fis-3204	62	41	written	write	VERB
fis-3204	62	42	as	as	ADP
fis-3204	62	43	[	[	X
fis-3204	62	44	14	14	NUM
fis-3204	62	45	]	]	X
fis-3204	62	46	:	:	PUNCT
fis-3204	63	1			NUM
fis-3204	63	2	1k	1k	NUM
fis-3204	63	3	ct	ct	X
fis-3204	63	4	(	(	PUNCT
fis-3204	63	5	16	16	NUM
fis-3204	63	6	)	)	PUNCT
fis-3204	63	7			NOUN
fis-3204	63	8			PROPN
fis-3204	63	9			NOUN
fis-3204	63	10			NOUN
fis-3204	64	1	5.346c	5.346c	NUM
fis-3204	64	2	h	h	NOUN
fis-3204	64	3	ei	ei	X
fis-3204	64	4	f	f	PROPN
fis-3204	64	5	s	s	PROPN
fis-3204	64	6	h	h	NOUN
fis-3204	64	7	(	(	PUNCT
fis-3204	64	8	17	17	NUM
fis-3204	64	9	)	)	PUNCT
fis-3204	64	10	e.s.m.m	e.s.m.m	PROPN
fis-3204	64	11	.	.	PROPN
fis-3204	64	12	soliman	soliman	PROPN
fis-3204	64	13	,	,	PUNCT
fis-3204	64	14	frattura	frattura	PROPN
fis-3204	64	15	ed	ed	PROPN
fis-3204	64	16	integrità	integrità	PROPN
fis-3204	64	17	strutturale	strutturale	PROPN
fis-3204	64	18	,	,	PUNCT
fis-3204	64	19	58	58	NUM
fis-3204	64	20	(	(	PUNCT
fis-3204	64	21	2021	2021	NUM
fis-3204	64	22	)	)	PUNCT
fis-3204	64	23	151	151	NUM
fis-3204	64	24	-	-	SYM
fis-3204	64	25	165	165	NUM
fis-3204	64	26	;	;	PUNCT
fis-3204	64	27	doi	doi	NOUN
fis-3204	64	28	:	:	PUNCT
fis-3204	64	29	10.3221	10.3221	NUM
fis-3204	64	30	/	/	SYM
fis-3204	64	31	igf	igf	PROPN
fis-3204	64	32	-	-	ADJ
fis-3204	64	33	esis.58.11	esis.58.11	PROPN
fis-3204	64	34	154	154	NUM
fis-3204	64	35			NOUN
fis-3204	64	36			SYM
fis-3204	64	37			NOUN
fis-3204	64	38			SYM
fis-3204	64	39			NOUN
fis-3204	64	40			SYM
fis-3204	64	41			NOUN
fis-3204	64	42			SYM
fis-3204	64	43			NOUN
fis-3204	64	44			SYM
fis-3204	64	45			NOUN
fis-3204	64	46			SYM
fis-3204	64	47			NOUN
fis-3204	64	48			SYM
fis-3204	64	49			NOUN
fis-3204	64	50			SYM
fis-3204	64	51			NOUN
fis-3204	64	52			SYM
fis-3204	64	53			NOUN
fis-3204	64	54			PUNCT
fis-3204	64	55			PROPN
fis-3204	64	56			PROPN
fis-3204	64	57			VERB
fis-3204	64	58			PROPN
fis-3204	64	59			VERB
fis-3204	64	60			PROPN
fis-3204	64	61			VERB
fis-3204	64	62			PROPN
fis-3204	64	63			VERB
fis-3204	64	64	2	2	NUM
fis-3204	64	65	3	3	NUM
fis-3204	64	66	4	4	NUM
fis-3204	64	67	5	5	NUM
fis-3204	64	68	1.8624	1.8624	NUM
fis-3204	64	69	3.95	3.95	NUM
fis-3204	64	70	16.3754	16.3754	NUM
fis-3204	64	71	37.226	37.226	NUM
fis-3204	64	72	6	6	NUM
fis-3204	64	73	7	7	NUM
fis-3204	64	74	8	8	NUM
fis-3204	64	75	9	9	NUM
fis-3204	64	76	10	10	NUM
fis-3204	64	77	76.81	76.81	NUM
fis-3204	64	78	126.9	126.9	NUM
fis-3204	64	79	172	172	NUM
fis-3204	64	80	143.97	143.97	NUM
fis-3204	64	81	66.562	66.562	NUM
fis-3204	64	82	f	f	NOUN
fis-3204	64	83	s	s	NOUN
fis-3204	64	84	h	h	NOUN
fis-3204	64	85	s	s	NOUN
fis-3204	65	1	h	h	NOUN
fis-3204	66	1	s	s	NOUN
fis-3204	67	1	h	h	NOUN
fis-3204	68	1	s	s	NOUN
fis-3204	69	1	h	h	NOUN
fis-3204	70	1	s	s	NOUN
fis-3204	71	1	h	h	NOUN
fis-3204	72	1	s	s	NOUN
fis-3204	73	1	h	h	NOUN
fis-3204	74	1	s	s	NOUN
fis-3204	75	1	h	h	NOUN
fis-3204	76	1	s	s	NOUN
fis-3204	77	1	h	h	NOUN
fis-3204	78	1	s	s	PART
fis-3204	79	1	h	h	NOUN
fis-3204	79	2	s	s	NOUN
fis-3204	79	3	h	h	NOUN
fis-3204	79	4	(	(	PUNCT
fis-3204	79	5	18	18	NUM
fis-3204	79	6	)	)	PUNCT
fis-3204	79	7	where	where	SCONJ
fis-3204	79	8	c	c	NOUN
fis-3204	79	9	is	be	AUX
fis-3204	79	10	compliance	compliance	NOUN
fis-3204	79	11	,	,	PUNCT
fis-3204	79	12	f	f	PROPN
fis-3204	79	13	(	(	PUNCT
fis-3204	79	14	s	s	NOUN
fis-3204	79	15	/	/	SYM
fis-3204	79	16	h	h	NOUN
fis-3204	79	17	)	)	PUNCT
fis-3204	79	18	is	be	AUX
fis-3204	79	19	dimensionless	dimensionless	ADJ
fis-3204	79	20	local	local	ADJ
fis-3204	79	21	compliance	compliance	NOUN
fis-3204	79	22	function	function	NOUN
fis-3204	79	23	,	,	PUNCT
fis-3204	79	24	s	s	AUX
fis-3204	79	25	,	,	PUNCT
fis-3204	79	26	is	be	AUX
fis-3204	79	27	depth	depth	NOUN
fis-3204	79	28	of	of	ADP
fis-3204	79	29	crack	crack	NOUN
fis-3204	79	30	and	and	CCONJ
fis-3204	79	31	h	h	NOUN
fis-3204	79	32	,	,	PUNCT
fis-3204	79	33	is	be	AUX
fis-3204	79	34	height	height	NOUN
fis-3204	79	35	of	of	ADP
fis-3204	79	36	beam	beam	NOUN
fis-3204	79	37	.	.	PUNCT
fis-3204	80	1	according	accord	VERB
fis-3204	80	2	to	to	ADP
fis-3204	80	3	elementary	elementary	ADJ
fis-3204	80	4	beam	beam	PROPN
fis-3204	80	5	theory	theory	NOUN
fis-3204	80	6	,	,	PUNCT
fis-3204	80	7	sayyad	sayyad	PROPN
fis-3204	80	8	and	and	CCONJ
fis-3204	80	9	kumar	kumar	PROPN
fis-3204	80	10	[	[	X
fis-3204	80	11	13	13	NUM
fis-3204	80	12	]	]	PUNCT
fis-3204	80	13	are	be	AUX
fis-3204	80	14	expressed	express	VERB
fis-3204	80	15	the	the	DET
fis-3204	80	16	relationship	relationship	NOUN
fis-3204	80	17	between	between	ADP
fis-3204	80	18	the	the	DET
fis-3204	80	19	changes	change	NOUN
fis-3204	80	20	in	in	ADP
fis-3204	80	21	eigen	eigen	PROPN
fis-3204	80	22	frequency	frequency	NOUN
fis-3204	80	23	and	and	CCONJ
fis-3204	80	24	the	the	DET
fis-3204	80	25	crack	crack	NOUN
fis-3204	80	26	location	location	NOUN
fis-3204	80	27	and	and	CCONJ
fis-3204	80	28	stiffness	stiffness	NOUN
fis-3204	80	29	of	of	ADP
fis-3204	80	30	crack	crack	NOUN
fis-3204	80	31	for	for	ADP
fis-3204	80	32	a	a	DET
fis-3204	80	33	simply	simply	ADV
fis-3204	80	34	supported	support	VERB
fis-3204	80	35	beam	beam	NOUN
fis-3204	80	36	as	as	ADP
fis-3204	80	37	the	the	DET
fis-3204	80	38	following	follow	VERB
fis-3204	80	39	:	:	PUNCT
fis-3204	80	40			NOUN
fis-3204	80	41			ADP
fis-3204	80	42			PROPN
fis-3204	80	43	2sinf	2sinf	NUM
fis-3204	80	44	f	f	NOUN
fis-3204	80	45	n	n	NOUN
fis-3204	80	46	x	x	NOUN
fis-3204	80	47	ei	ei	NOUN
fis-3204	81	1	k	k	PROPN
fis-3204	81	2	ln	ln	PROPN
fis-3204	81	3	n	n	PROPN
fis-3204	81	4	t	t	PROPN
fis-3204	81	5	(	(	PUNCT
fis-3204	81	6	19	19	NUM
fis-3204	81	7	)	)	PUNCT
fis-3204	81	8	where	where	SCONJ
fis-3204	81	9	δfn	δfn	NOUN
fis-3204	81	10	is	be	AUX
fis-3204	81	11	the	the	DET
fis-3204	81	12	difference	difference	NOUN
fis-3204	81	13	of	of	ADP
fis-3204	81	14	eigen	eigen	PROPN
fis-3204	81	15	frequencies	frequency	NOUN
fis-3204	81	16	between	between	ADP
fis-3204	81	17	un	un	NOUN
fis-3204	81	18	-	-	ADJ
fis-3204	81	19	cracked	cracked	ADJ
fis-3204	81	20	and	and	CCONJ
fis-3204	81	21	cracked	crack	VERB
fis-3204	81	22	beams	beam	NOUN
fis-3204	81	23	and	and	CCONJ
fis-3204	81	24	n	n	PRON
fis-3204	81	25	is	be	AUX
fis-3204	81	26	number	number	NOUN
fis-3204	81	27	of	of	ADP
fis-3204	81	28	bending	bend	VERB
fis-3204	81	29	mode	mode	NOUN
fis-3204	81	30	.	.	PUNCT
fis-3204	82	1	from	from	ADP
fis-3204	82	2	eqns	eqns	PROPN
fis-3204	82	3	.	.	PUNCT
fis-3204	83	1	(	(	PUNCT
fis-3204	83	2	16	16	NUM
fis-3204	83	3	)	)	PUNCT
fis-3204	83	4	,	,	PUNCT
fis-3204	83	5	(	(	PUNCT
fis-3204	83	6	17	17	NUM
fis-3204	83	7	)	)	PUNCT
fis-3204	83	8	,	,	PUNCT
fis-3204	83	9	(	(	PUNCT
fis-3204	83	10	18	18	NUM
fis-3204	83	11	)	)	PUNCT
fis-3204	83	12	and	and	CCONJ
fis-3204	83	13	(	(	PUNCT
fis-3204	83	14	19	19	NUM
fis-3204	83	15	)	)	PUNCT
fis-3204	83	16	the	the	DET
fis-3204	83	17	following	follow	VERB
fis-3204	83	18	equation	equation	NOUN
fis-3204	83	19	can	can	AUX
fis-3204	83	20	be	be	AUX
fis-3204	83	21	extracted	extract	VERB
fis-3204	83	22	as	as	ADP
fis-3204	83	23	[	[	X
fis-3204	83	24	13	13	NUM
fis-3204	83	25	]	]	SYM
fis-3204	83	26	:	:	PUNCT
fis-3204	83	27			NOUN
fis-3204	83	28			SYM
fis-3204	83	29			NOUN
fis-3204	83	30			NOUN
fis-3204	83	31			NOUN
fis-3204	83	32			PUNCT
fis-3204	84	1			PROPN
fis-3204	84	2			PROPN
fis-3204	84	3			NUM
fis-3204	84	4			PROPN
fis-3204	84	5			PROPN
fis-3204	84	6			PROPN
fis-3204	84	7	22	22	NUM
fis-3204	84	8	29.9563.sin	29.9563.sin	NUM
fis-3204	84	9	.	.	PUNCT
fis-3204	84	10	.	.	PUNCT
fis-3204	85	1	1	1	NUM
fis-3204	85	2	2	2	NUM
fis-3204	85	3	.	.	PUNCT
fis-3204	86	1	f	f	PROPN
fis-3204	86	2	fn	fn	INTJ
fis-3204	87	1	ns	ns	NUM
fis-3204	87	2	h	h	NOUN
fis-3204	87	3	h	h	NOUN
fis-3204	87	4	n	n	ADV
fis-3204	87	5	l	l	NOUN
fis-3204	87	6	(	(	PUNCT
fis-3204	87	7	20	20	NUM
fis-3204	87	8	)	)	PUNCT
fis-3204	87	9	single	single	ADJ
fis-3204	87	10	characteristic	characteristic	ADJ
fis-3204	87	11	equation	equation	NOUN
fis-3204	87	12	for	for	ADP
fis-3204	87	13	simply	simply	ADV
fis-3204	87	14	supported	support	VERB
fis-3204	87	15	beam	beam	NOUN
fis-3204	87	16	with	with	ADP
fis-3204	87	17	a	a	DET
fis-3204	87	18	single	single	ADJ
fis-3204	87	19	crack	crack	NOUN
fis-3204	87	20	can	can	AUX
fis-3204	87	21	be	be	AUX
fis-3204	87	22	expressed	express	VERB
fis-3204	87	23	as	as	ADP
fis-3204	87	24	[	[	X
fis-3204	87	25	16	16	NUM
fis-3204	87	26	]	]	X
fis-3204	87	27	:	:	PUNCT
fis-3204	87	28			NOUN
fis-3204	87	29			SYM
fis-3204	87	30			NOUN
fis-3204	87	31			PUNCT
fis-3204	87	32			NOUN
fis-3204	87	33			ADJ
fis-3204	87	34			ADJ
fis-3204	87	35			NOUN
fis-3204	87	36			PROPN
fis-3204	87	37			ADJ
fis-3204	87	38			ADJ
fis-3204	87	39			PROPN
fis-3204	87	40			PROPN
fis-3204	87	41			PROPN
fis-3204	87	42			PROPN
fis-3204	87	43			NOUN
fis-3204	87	44			PROPN
fis-3204	87	45			PROPN
fis-3204	87	46			CCONJ
fis-3204	87	47			PROPN
fis-3204	87	48			PROPN
fis-3204	87	49	cos	cos	ADP
fis-3204	87	50	2	2	NUM
fis-3204	87	51	cos	cos	NOUN
fis-3204	87	52	2	2	NUM
fis-3204	87	53	0	0	NUM
fis-3204	87	54	2	2	NUM
fis-3204	87	55	2sin	2sin	NUM
fis-3204	87	56	2	2	NUM
fis-3204	87	57	ch	ch	NOUN
fis-3204	87	58	ch	ch	NOUN
fis-3204	87	59	k	k	PROPN
fis-3204	88	1	sh	sh	INTJ
fis-3204	88	2	(	(	PUNCT
fis-3204	88	3	21	21	NUM
fis-3204	88	4	)	)	PUNCT
fis-3204	88	5			NOUN
fis-3204	88	6	0k	0k	PUNCT
fis-3204	89	1	k	k	X
fis-3204	89	2	l	l	PUNCT
fis-3204	90	1	eit	eit	PROPN
fis-3204	91	1	(	(	PUNCT
fis-3204	91	2	22	22	NUM
fis-3204	91	3	)	)	PUNCT
fis-3204	91	4	where	where	SCONJ
fis-3204	91	5	k0	k0	PROPN
fis-3204	91	6	is	be	AUX
fis-3204	91	7	non	non	ADJ
fis-3204	91	8	-	-	ADJ
fis-3204	91	9	dimensional	dimensional	ADJ
fis-3204	91	10	stiffness	stiffness	NOUN
fis-3204	91	11	of	of	ADP
fis-3204	91	12	the	the	DET
fis-3204	91	13	rotational	rotational	ADJ
fis-3204	91	14	spring	spring	NOUN
fis-3204	91	15	.	.	PUNCT
fis-3204	92	1	if	if	SCONJ
fis-3204	92	2	f	f	PROPN
fis-3204	92	3	is	be	AUX
fis-3204	92	4	zero	zero	NUM
fis-3204	92	5	frequency	frequency	NOUN
fis-3204	92	6	applied	apply	VERB
fis-3204	92	7	load	load	NOUN
fis-3204	92	8	at	at	ADP
fis-3204	92	9	midpoint	midpoint	NOUN
fis-3204	92	10	of	of	ADP
fis-3204	92	11	beam	beam	NOUN
fis-3204	92	12	,	,	PUNCT
fis-3204	92	13	the	the	DET
fis-3204	92	14	deflection	deflection	NOUN
fis-3204	92	15	at	at	ADP
fis-3204	92	16	the	the	DET
fis-3204	92	17	center	center	ADJ
fis-3204	92	18	point	point	NOUN
fis-3204	92	19	of	of	ADP
fis-3204	92	20	simply	simply	ADV
fis-3204	92	21	supported	support	VERB
fis-3204	92	22	beam	beam	NOUN
fis-3204	92	23	can	can	AUX
fis-3204	92	24	be	be	AUX
fis-3204	92	25	written	write	VERB
fis-3204	92	26	as	as	ADP
fis-3204	92	27	[	[	X
fis-3204	92	28	17	17	NUM
fis-3204	92	29	]	]	PUNCT
fis-3204	92	30	:	:	PUNCT
fis-3204	92	31			NUM
fis-3204	92	32			NUM
fis-3204	92	33	3	3	NUM
fis-3204	92	34	48	48	NUM
fis-3204	92	35	fl	fl	NOUN
fis-3204	92	36	ei	ei	X
fis-3204	92	37	(	(	PUNCT
fis-3204	92	38	23	23	NUM
fis-3204	92	39	)	)	PUNCT
fis-3204	92	40	figure	figure	NOUN
fis-3204	92	41	1	1	NUM
fis-3204	92	42	:	:	PUNCT
fis-3204	92	43	model	model	NOUN
fis-3204	92	44	of	of	ADP
fis-3204	92	45	damaged	damage	VERB
fis-3204	92	46	simply	simply	ADV
fis-3204	92	47	supported	support	VERB
fis-3204	92	48	beam	beam	NOUN
fis-3204	92	49	.	.	PUNCT
fis-3204	93	1	e.s.m.m	e.s.m.m	PROPN
fis-3204	93	2	.	.	PROPN
fis-3204	93	3	soliman	soliman	PROPN
fis-3204	93	4	,	,	PUNCT
fis-3204	93	5	frattura	frattura	PROPN
fis-3204	93	6	ed	ed	PROPN
fis-3204	93	7	integrità	integrità	PROPN
fis-3204	93	8	strutturale	strutturale	PROPN
fis-3204	93	9	,	,	PUNCT
fis-3204	93	10	58	58	NUM
fis-3204	93	11	(	(	PUNCT
fis-3204	93	12	2021	2021	NUM
fis-3204	93	13	)	)	PUNCT
fis-3204	93	14	151	151	NUM
fis-3204	93	15	-	-	SYM
fis-3204	93	16	165	165	NUM
fis-3204	93	17	;	;	PUNCT
fis-3204	93	18	doi	doi	NOUN
fis-3204	93	19	:	:	PUNCT
fis-3204	93	20	10.3221	10.3221	NUM
fis-3204	93	21	/	/	SYM
fis-3204	93	22	igf	igf	PROPN
fis-3204	93	23	-	-	PROPN
fis-3204	93	24	esis.58.11	esis.58.11	PROPN
fis-3204	93	25	155	155	NUM
fis-3204	93	26	model	model	NOUN
fis-3204	93	27	of	of	ADP
fis-3204	93	28	damaged	damage	VERB
fis-3204	93	29	beam	beam	NOUN
fis-3204	93	30	n	n	CCONJ
fis-3204	93	31	this	this	DET
fis-3204	93	32	study	study	NOUN
fis-3204	93	33	,	,	PUNCT
fis-3204	93	34	an	an	DET
fis-3204	93	35	aluminum	aluminum	NOUN
fis-3204	93	36	damaged	damage	VERB
fis-3204	93	37	simply	simply	ADV
fis-3204	93	38	supported	support	VERB
fis-3204	93	39	beam	beam	NOUN
fis-3204	93	40	model	model	NOUN
fis-3204	93	41	with	with	ADP
fis-3204	93	42	single	single	ADJ
fis-3204	93	43	open	open	ADJ
fis-3204	93	44	edge	edge	NOUN
fis-3204	93	45	crack	crack	NOUN
fis-3204	93	46	of	of	ADP
fis-3204	93	47	depth	depth	NOUN
fis-3204	93	48	(	(	PUNCT
fis-3204	93	49	s	s	NOUN
fis-3204	93	50	)	)	PUNCT
fis-3204	93	51	at	at	ADP
fis-3204	93	52	distance	distance	NOUN
fis-3204	93	53	(	(	PUNCT
fis-3204	93	54	lc	lc	NOUN
fis-3204	93	55	)	)	PUNCT
fis-3204	93	56	from	from	ADP
fis-3204	93	57	left	left	ADJ
fis-3204	93	58	hand	hand	NOUN
fis-3204	93	59	support	support	NOUN
fis-3204	93	60	of	of	ADP
fis-3204	93	61	beam	beam	NOUN
fis-3204	93	62	as	as	SCONJ
fis-3204	93	63	shown	show	VERB
fis-3204	93	64	in	in	ADP
fis-3204	93	65	figure	figure	NOUN
fis-3204	93	66	1	1	NUM
fis-3204	93	67	is	be	AUX
fis-3204	93	68	used	use	VERB
fis-3204	93	69	to	to	PART
fis-3204	93	70	determine	determine	VERB
fis-3204	93	71	crack	crack	NOUN
fis-3204	93	72	damage	damage	NOUN
fis-3204	93	73	severity	severity	NOUN
fis-3204	93	74	and	and	CCONJ
fis-3204	93	75	modal	modal	ADJ
fis-3204	93	76	parameters	parameter	NOUN
fis-3204	93	77	for	for	ADP
fis-3204	93	78	cracked	crack	VERB
fis-3204	93	79	beam	beam	NOUN
fis-3204	93	80	.	.	PUNCT
fis-3204	94	1	the	the	DET
fis-3204	94	2	geometry	geometry	NOUN
fis-3204	94	3	properties	property	NOUN
fis-3204	94	4	of	of	ADP
fis-3204	94	5	the	the	DET
fis-3204	94	6	undamaged	undamaged	ADJ
fis-3204	94	7	and	and	CCONJ
fis-3204	94	8	damaged	damage	VERB
fis-3204	94	9	beam	beam	NOUN
fis-3204	94	10	are	be	AUX
fis-3204	94	11	length	length	NOUN
fis-3204	94	12	(	(	PUNCT
fis-3204	94	13	l	l	NOUN
fis-3204	94	14	)	)	PUNCT
fis-3204	94	15	=	=	SYM
fis-3204	94	16	0.44	0.44	NUM
fis-3204	94	17	m	m	NOUN
fis-3204	94	18	,	,	PUNCT
fis-3204	94	19	and	and	CCONJ
fis-3204	94	20	cross	cross	ADJ
fis-3204	94	21	-	-	ADJ
fis-3204	94	22	sectional	sectional	ADJ
fis-3204	94	23	area	area	NOUN
fis-3204	94	24	(	(	PUNCT
fis-3204	94	25	a	a	X
fis-3204	94	26	)	)	PUNCT
fis-3204	94	27	=	=	SYM
fis-3204	94	28	0.026×0.026	0.026×0.026	NUM
fis-3204	94	29	m2	m2	PROPN
fis-3204	94	30	.	.	PUNCT
fis-3204	95	1	the	the	DET
fis-3204	95	2	crack	crack	NOUN
fis-3204	95	3	location	location	NOUN
fis-3204	95	4	ratio	ratio	NOUN
fis-3204	95	5	µ	µ	NOUN
fis-3204	95	6	is	be	AUX
fis-3204	95	7	defined	define	VERB
fis-3204	95	8	as	as	ADP
fis-3204	95	9	µ	µ	NOUN
fis-3204	95	10	=	=	SYM
fis-3204	95	11	lc	lc	PROPN
fis-3204	95	12	/	/	SYM
fis-3204	95	13	l	l	NOUN
fis-3204	95	14	and	and	CCONJ
fis-3204	95	15	crack	crack	VERB
fis-3204	95	16	depth	depth	NOUN
fis-3204	95	17	ratio	ratio	NOUN
fis-3204	95	18	ψ	ψ	NOUN
fis-3204	95	19	is	be	AUX
fis-3204	95	20	defined	define	VERB
fis-3204	95	21	as	as	ADP
fis-3204	95	22	ψ	ψ	X
fis-3204	95	23	=	=	SYM
fis-3204	95	24	s	s	PROPN
fis-3204	95	25	/	/	SYM
fis-3204	95	26	h	h	NOUN
fis-3204	95	27	,	,	PUNCT
fis-3204	95	28	where	where	SCONJ
fis-3204	95	29	(	(	PUNCT
fis-3204	95	30	h	h	NOUN
fis-3204	95	31	)	)	PUNCT
fis-3204	95	32	is	be	AUX
fis-3204	95	33	height	height	NOUN
fis-3204	95	34	of	of	ADP
fis-3204	95	35	beam	beam	NOUN
fis-3204	95	36	.	.	PUNCT
fis-3204	96	1	the	the	DET
fis-3204	96	2	material	material	NOUN
fis-3204	96	3	properties	property	NOUN
fis-3204	96	4	of	of	ADP
fis-3204	96	5	the	the	DET
fis-3204	96	6	undamaged	undamaged	ADJ
fis-3204	96	7	and	and	CCONJ
fis-3204	96	8	damaged	damage	VERB
fis-3204	96	9	beam	beam	NOUN
fis-3204	96	10	are	be	AUX
fis-3204	96	11	young	young	ADJ
fis-3204	96	12	’s	’s	PART
fis-3204	96	13	modulus	modulus	NOUN
fis-3204	96	14	of	of	ADP
fis-3204	96	15	elasticity	elasticity	NOUN
fis-3204	96	16	(	(	PUNCT
fis-3204	96	17	e	e	NOUN
fis-3204	96	18	)	)	PUNCT
fis-3204	96	19	=	=	SYM
fis-3204	96	20	70	70	NUM
fis-3204	96	21	gpa	gpa	PROPN
fis-3204	96	22	,	,	PUNCT
fis-3204	96	23	poisson	poisson	PROPN
fis-3204	96	24	’s	’s	PART
fis-3204	96	25	ratio	ratio	NOUN
fis-3204	96	26	(	(	PUNCT
fis-3204	96	27	ν	ν	NOUN
fis-3204	96	28	)	)	PUNCT
fis-3204	96	29	=	=	SYM
fis-3204	96	30	0.346	0.346	NUM
fis-3204	96	31	and	and	CCONJ
fis-3204	96	32	density	density	NOUN
fis-3204	96	33	(	(	PUNCT
fis-3204	96	34	ρ	ρ	NOUN
fis-3204	96	35	)	)	PUNCT
fis-3204	96	36	=	=	SYM
fis-3204	96	37	2710	2710	NUM
fis-3204	96	38	kg	kg	PROPN
fis-3204	96	39	/	/	SYM
fis-3204	96	40	m3	m3	PROPN
fis-3204	96	41	.	.	PUNCT
fis-3204	97	1	in	in	ADP
fis-3204	97	2	order	order	NOUN
fis-3204	97	3	to	to	PART
fis-3204	97	4	consider	consider	VERB
fis-3204	97	5	different	different	ADJ
fis-3204	97	6	damage	damage	NOUN
fis-3204	97	7	scenarios	scenario	NOUN
fis-3204	97	8	of	of	ADP
fis-3204	97	9	the	the	DET
fis-3204	97	10	beam	beam	NOUN
fis-3204	97	11	in	in	ADP
fis-3204	97	12	the	the	DET
fis-3204	97	13	analysis	analysis	NOUN
fis-3204	97	14	,	,	PUNCT
fis-3204	97	15	crack	crack	VERB
fis-3204	97	16	location	location	NOUN
fis-3204	97	17	ratio	ratio	NOUN
fis-3204	97	18	0.1	0.1	NUM
fis-3204	97	19	,	,	PUNCT
fis-3204	97	20	0.3	0.3	NUM
fis-3204	97	21	and	and	CCONJ
fis-3204	97	22	0.4	0.4	NUM
fis-3204	97	23	are	be	AUX
fis-3204	97	24	chosen	choose	VERB
fis-3204	97	25	and	and	CCONJ
fis-3204	97	26	for	for	ADP
fis-3204	97	27	each	each	DET
fis-3204	97	28	crack	crack	NOUN
fis-3204	97	29	location	location	NOUN
fis-3204	97	30	ratio	ratio	NOUN
fis-3204	97	31	crack	crack	NOUN
fis-3204	97	32	depth	depth	NOUN
fis-3204	97	33	ratio	ratio	NOUN
fis-3204	97	34	is	be	AUX
fis-3204	97	35	varied	varied	ADJ
fis-3204	97	36	as	as	ADP
fis-3204	97	37	0.2	0.2	NUM
fis-3204	97	38	,	,	PUNCT
fis-3204	97	39	0.3	0.3	NUM
fis-3204	97	40	and	and	CCONJ
fis-3204	97	41	0.4	0.4	NUM
fis-3204	97	42	.	.	PUNCT
fis-3204	98	1	figure	figure	NOUN
fis-3204	98	2	2	2	NUM
fis-3204	98	3	:	:	PUNCT
fis-3204	98	4	fea	fea	PROPN
fis-3204	98	5	results	result	NOUN
fis-3204	98	6	of	of	ADP
fis-3204	98	7	frequency	frequency	NOUN
fis-3204	98	8	of	of	ADP
fis-3204	98	9	first	first	ADJ
fis-3204	98	10	mode	mode	NOUN
fis-3204	98	11	validation	validation	NOUN
fis-3204	99	1	n	n	PRON
fis-3204	99	2	order	order	NOUN
fis-3204	99	3	to	to	PART
fis-3204	99	4	validate	validate	VERB
fis-3204	99	5	the	the	DET
fis-3204	99	6	developed	develop	VERB
fis-3204	99	7	model	model	NOUN
fis-3204	99	8	used	use	VERB
fis-3204	99	9	in	in	ADP
fis-3204	99	10	this	this	DET
fis-3204	99	11	study	study	NOUN
fis-3204	99	12	,	,	PUNCT
fis-3204	99	13	the	the	DET
fis-3204	99	14	results	result	NOUN
fis-3204	99	15	of	of	ADP
fis-3204	99	16	fea	fea	NOUN
fis-3204	99	17	frequency	frequency	NOUN
fis-3204	99	18	of	of	ADP
fis-3204	99	19	the	the	DET
fis-3204	99	20	first	first	ADJ
fis-3204	99	21	mode	mode	NOUN
fis-3204	99	22	of	of	ADP
fis-3204	99	23	bending	bend	VERB
fis-3204	99	24	vibration	vibration	NOUN
fis-3204	99	25	for	for	ADP
fis-3204	99	26	different	different	ADJ
fis-3204	99	27	three	three	NUM
fis-3204	99	28	scenarios	scenario	NOUN
fis-3204	99	29	of	of	ADP
fis-3204	99	30	cracked	crack	VERB
fis-3204	99	31	simply	simply	ADV
fis-3204	99	32	supported	support	VERB
fis-3204	99	33	beam	beam	NOUN
fis-3204	99	34	used	use	VERB
fis-3204	99	35	by	by	ADP
fis-3204	99	36	khalkar	khalkar	PROPN
fis-3204	99	37	[	[	X
fis-3204	99	38	17	17	NUM
fis-3204	99	39	]	]	PUNCT
fis-3204	99	40	is	be	AUX
fis-3204	99	41	obtained	obtain	VERB
fis-3204	99	42	(	(	PUNCT
fis-3204	99	43	see	see	VERB
fis-3204	99	44	figure	figure	NOUN
fis-3204	99	45	2	2	NUM
fis-3204	99	46	)	)	PUNCT
fis-3204	99	47	,	,	PUNCT
fis-3204	99	48	comparing	compare	VERB
fis-3204	99	49	it	it	PRON
fis-3204	99	50	with	with	ADP
fis-3204	99	51	those	those	PRON
fis-3204	99	52	available	available	ADJ
fis-3204	99	53	in	in	ADP
fis-3204	99	54	the	the	DET
fis-3204	99	55	literature	literature	NOUN
fis-3204	99	56	as	as	SCONJ
fis-3204	99	57	shown	show	VERB
fis-3204	99	58	in	in	ADP
fis-3204	99	59	fig	fig	NOUN
fis-3204	99	60	.	.	PUNCT
fis-3204	100	1	3	3	X
fis-3204	100	2	.	.	X
fis-3204	100	3	the	the	DET
fis-3204	100	4	following	follow	VERB
fis-3204	100	5	beam	beam	NOUN
fis-3204	100	6	and	and	CCONJ
fis-3204	100	7	crack	crack	VERB
fis-3204	100	8	parameters	parameter	NOUN
fis-3204	100	9	are	be	AUX
fis-3204	100	10	given	give	VERB
fis-3204	100	11	in	in	ADP
fis-3204	100	12	table	table	NOUN
fis-3204	100	13	1	1	NUM
fis-3204	100	14	[	[	X
fis-3204	100	15	17	17	NUM
fis-3204	100	16	]	]	PUNCT
fis-3204	100	17	.	.	PUNCT
fis-3204	101	1	the	the	DET
fis-3204	101	2	solid	solid	ADJ
fis-3204	101	3	186	186	NUM
fis-3204	101	4	element	element	NOUN
fis-3204	101	5	is	be	AUX
fis-3204	101	6	adopted	adopt	VERB
fis-3204	101	7	for	for	ADP
fis-3204	101	8	meshing	mesh	VERB
fis-3204	101	9	the	the	DET
fis-3204	101	10	3d	3d	NUM
fis-3204	101	11	model	model	NOUN
fis-3204	101	12	of	of	ADP
fis-3204	101	13	cracked	crack	VERB
fis-3204	101	14	simply	simply	ADV
fis-3204	101	15	supported	support	VERB
fis-3204	101	16	beam	beam	NOUN
fis-3204	101	17	in	in	ADP
fis-3204	101	18	the	the	DET
fis-3204	101	19	finite	finite	ADJ
fis-3204	101	20	element	element	NOUN
fis-3204	101	21	analysis	analysis	NOUN
fis-3204	101	22	.	.	PUNCT
fis-3204	102	1	in	in	ADP
fis-3204	102	2	the	the	DET
fis-3204	102	3	analysis	analysis	NOUN
fis-3204	102	4	for	for	ADP
fis-3204	102	5	the	the	DET
fis-3204	102	6	three	three	NUM
fis-3204	102	7	scenarios	scenario	NOUN
fis-3204	102	8	of	of	ADP
fis-3204	102	9	cracked	crack	VERB
fis-3204	102	10	beam	beam	NOUN
fis-3204	102	11	,	,	PUNCT
fis-3204	102	12	the	the	DET
fis-3204	102	13	location	location	NOUN
fis-3204	102	14	of	of	ADP
fis-3204	102	15	crack	crack	NOUN
fis-3204	102	16	is	be	AUX
fis-3204	102	17	measured	measure	VERB
fis-3204	102	18	from	from	ADP
fis-3204	102	19	left	left	ADJ
fis-3204	102	20	hand	hand	NOUN
fis-3204	102	21	support	support	NOUN
fis-3204	102	22	of	of	ADP
fis-3204	102	23	beam	beam	NOUN
fis-3204	102	24	(	(	PUNCT
fis-3204	102	25	lhs	lhs	PROPN
fis-3204	102	26	)	)	PUNCT
fis-3204	102	27	as	as	SCONJ
fis-3204	102	28	considered	consider	VERB
fis-3204	102	29	in	in	ADP
fis-3204	102	30	[	[	X
fis-3204	102	31	17	17	NUM
fis-3204	102	32	]	]	PUNCT
fis-3204	102	33	.	.	PUNCT
fis-3204	103	1	from	from	ADP
fis-3204	103	2	figure	figure	NOUN
fis-3204	103	3	3	3	NUM
fis-3204	103	4	,	,	PUNCT
fis-3204	103	5	it	it	PRON
fis-3204	103	6	is	be	AUX
fis-3204	103	7	found	find	VERB
fis-3204	103	8	that	that	SCONJ
fis-3204	103	9	fea	fea	PROPN
fis-3204	103	10	results	result	NOUN
fis-3204	103	11	meet	meet	VERB
fis-3204	103	12	with	with	ADP
fis-3204	103	13	excellent	excellent	ADJ
fis-3204	103	14	agreement	agreement	NOUN
fis-3204	103	15	with	with	ADP
fis-3204	103	16	the	the	DET
fis-3204	103	17	results	result	NOUN
fis-3204	103	18	already	already	ADV
fis-3204	103	19	published	publish	VERB
fis-3204	103	20	by	by	ADP
fis-3204	103	21	khalkar	khalkar	NOUN
fis-3204	104	1	[	[	X
fis-3204	104	2	17	17	NUM
fis-3204	104	3	]	]	PUNCT
fis-3204	104	4	and	and	CCONJ
fis-3204	104	5	thus	thus	ADV
fis-3204	104	6	verifies	verify	VERB
fis-3204	104	7	the	the	DET
fis-3204	104	8	precise	precise	NOUN
fis-3204	104	9	of	of	ADP
fis-3204	104	10	results	result	NOUN
fis-3204	104	11	of	of	ADP
fis-3204	104	12	finite	finite	ADJ
fis-3204	104	13	element	element	NOUN
fis-3204	104	14	analysis	analysis	NOUN
fis-3204	104	15	(	(	PUNCT
fis-3204	104	16	fea	fea	NOUN
fis-3204	104	17	)	)	PUNCT
fis-3204	104	18	used	use	VERB
fis-3204	104	19	in	in	ADP
fis-3204	104	20	this	this	DET
fis-3204	104	21	study	study	NOUN
fis-3204	104	22	.	.	PUNCT
fis-3204	105	1	i	i	PRON
fis-3204	105	2	i	i	PROPN
fis-3204	105	3	e.s.m.m	e.s.m.m	PROPN
fis-3204	105	4	.	.	PROPN
fis-3204	105	5	soliman	soliman	PROPN
fis-3204	105	6	,	,	PUNCT
fis-3204	105	7	frattura	frattura	PROPN
fis-3204	105	8	ed	ed	PROPN
fis-3204	105	9	integrità	integrità	PROPN
fis-3204	105	10	strutturale	strutturale	PROPN
fis-3204	105	11	,	,	PUNCT
fis-3204	105	12	58	58	NUM
fis-3204	105	13	(	(	PUNCT
fis-3204	105	14	2021	2021	NUM
fis-3204	105	15	)	)	PUNCT
fis-3204	105	16	151	151	NUM
fis-3204	105	17	-	-	SYM
fis-3204	105	18	165	165	NUM
fis-3204	105	19	;	;	PUNCT
fis-3204	105	20	doi	doi	NOUN
fis-3204	105	21	:	:	PUNCT
fis-3204	105	22	10.3221	10.3221	NUM
fis-3204	105	23	/	/	SYM
fis-3204	105	24	igf	igf	PROPN
fis-3204	105	25	-	-	PROPN
fis-3204	105	26	esis.58.11	esis.58.11	PROPN
fis-3204	105	27	156	156	NUM
fis-3204	105	28	parameter	parameter	NOUN
fis-3204	105	29	value	value	NOUN
fis-3204	105	30	elastic	elastic	ADJ
fis-3204	105	31	modulus	modulus	NOUN
fis-3204	105	32	2.104×1011	2.104×1011	NUM
fis-3204	105	33	n	n	CCONJ
fis-3204	105	34	/	/	SYM
fis-3204	105	35	m2	m2	PROPN
fis-3204	105	36	density	density	NOUN
fis-3204	105	37	7820	7820	NUM
fis-3204	105	38	kg	kg	NOUN
fis-3204	105	39	/	/	SYM
fis-3204	105	40	m3	m3	PROPN
fis-3204	105	41	poisson	poisson	PROPN
fis-3204	105	42	’s	’s	PART
fis-3204	105	43	ratio	ratio	NOUN
fis-3204	105	44	0.3	0.3	NUM
fis-3204	105	45	beam	beam	NOUN
fis-3204	105	46	length	length	NOUN
fis-3204	105	47	0.36	0.36	NUM
fis-3204	105	48	m	m	PROPN
fis-3204	105	49	beam	beam	PROPN
fis-3204	105	50	cross	cross	PROPN
fis-3204	105	51	sectional	sectional	PROPN
fis-3204	105	52	area	area	NOUN
fis-3204	105	53	0.02×0.02	0.02×0.02	NUM
fis-3204	105	54	m2	m2	PROPN
fis-3204	105	55	table	table	NOUN
fis-3204	105	56	1	1	NUM
fis-3204	105	57	:	:	PUNCT
fis-3204	105	58	beam	beam	VERB
fis-3204	105	59	and	and	CCONJ
fis-3204	105	60	crack	crack	VERB
fis-3204	105	61	parameters	parameter	NOUN
fis-3204	105	62	[	[	X
fis-3204	105	63	17	17	NUM
fis-3204	105	64	]	]	PUNCT
fis-3204	105	65	figure	figure	NOUN
fis-3204	105	66	3	3	NUM
fis-3204	105	67	:	:	PUNCT
fis-3204	105	68	comparison	comparison	NOUN
fis-3204	105	69	of	of	ADP
fis-3204	105	70	the	the	DET
fis-3204	105	71	results	result	NOUN
fis-3204	105	72	of	of	ADP
fis-3204	105	73	first	first	ADJ
fis-3204	105	74	mode	mode	NOUN
fis-3204	105	75	frequency	frequency	NOUN
fis-3204	105	76	figure	figure	NOUN
fis-3204	105	77	4	4	NUM
fis-3204	105	78	:	:	PUNCT
fis-3204	105	79	finite	finite	PROPN
fis-3204	105	80	element	element	NOUN
fis-3204	105	81	model	model	NOUN
fis-3204	105	82	of	of	ADP
fis-3204	105	83	damaged	damage	VERB
fis-3204	105	84	simply	simply	ADV
fis-3204	105	85	supported	support	VERB
fis-3204	105	86	beam	beam	NOUN
fis-3204	105	87	:	:	PUNCT
fis-3204	105	88	µ	µ	X
fis-3204	105	89	=	=	SYM
fis-3204	105	90	0.3	0.3	NUM
fis-3204	105	91	,	,	PUNCT
fis-3204	105	92	ψ	ψ	X
fis-3204	105	93	=	=	SYM
fis-3204	105	94	0.4	0.4	NUM
fis-3204	105	95	numerical	numerical	ADJ
fis-3204	105	96	analysis	analysis	NOUN
fis-3204	105	97	he	he	PRON
fis-3204	105	98	numerical	numerical	ADJ
fis-3204	105	99	analysis	analysis	NOUN
fis-3204	105	100	is	be	AUX
fis-3204	105	101	carried	carry	VERB
fis-3204	105	102	out	out	ADP
fis-3204	105	103	for	for	ADP
fis-3204	105	104	both	both	CCONJ
fis-3204	105	105	undamaged	undamaged	ADJ
fis-3204	105	106	and	and	CCONJ
fis-3204	105	107	damaged	damaged	ADJ
fis-3204	105	108	beams	beam	NOUN
fis-3204	105	109	using	use	VERB
fis-3204	105	110	finite	finite	ADJ
fis-3204	105	111	element	element	NOUN
fis-3204	105	112	analysis	analysis	NOUN
fis-3204	105	113	(	(	PUNCT
fis-3204	105	114	fea	fea	NOUN
fis-3204	105	115	)	)	PUNCT
fis-3204	105	116	,	,	PUNCT
fis-3204	105	117	ansys	ansys	PROPN
fis-3204	105	118	.	.	PUNCT
fis-3204	106	1	in	in	ADP
fis-3204	106	2	the	the	DET
fis-3204	106	3	analysis	analysis	NOUN
fis-3204	106	4	,	,	PUNCT
fis-3204	106	5	modal	modal	NOUN
fis-3204	106	6	and	and	CCONJ
fis-3204	106	7	static	static	ADJ
fis-3204	106	8	analysis	analysis	NOUN
fis-3204	106	9	respectively	respectively	ADV
fis-3204	106	10	are	be	AUX
fis-3204	106	11	used	use	VERB
fis-3204	106	12	to	to	PART
fis-3204	106	13	obtain	obtain	VERB
fis-3204	106	14	mode	mode	NOUN
fis-3204	106	15	shapes	shape	NOUN
fis-3204	106	16	of	of	ADP
fis-3204	106	17	bending	bend	VERB
fis-3204	106	18	vibration	vibration	NOUN
fis-3204	106	19	and	and	CCONJ
fis-3204	106	20	static	static	ADJ
fis-3204	106	21	deflection	deflection	NOUN
fis-3204	106	22	,	,	PUNCT
fis-3204	106	23	respectively	respectively	ADV
fis-3204	106	24	.	.	PUNCT
fis-3204	107	1	harmonic	harmonic	ADJ
fis-3204	107	2	analysis	analysis	NOUN
fis-3204	107	3	is	be	AUX
fis-3204	107	4	carried	carry	VERB
fis-3204	107	5	out	out	ADP
fis-3204	107	6	to	to	PART
fis-3204	107	7	see	see	VERB
fis-3204	107	8	difference	difference	NOUN
fis-3204	107	9	between	between	ADP
fis-3204	107	10	frequencies	frequency	NOUN
fis-3204	107	11	of	of	ADP
fis-3204	107	12	undamaged	undamaged	ADJ
fis-3204	107	13	and	and	CCONJ
fis-3204	107	14	damaged	damaged	ADJ
fis-3204	107	15	beams	beam	NOUN
fis-3204	107	16	in	in	ADP
fis-3204	107	17	the	the	DET
fis-3204	107	18	frequency	frequency	NOUN
fis-3204	107	19	response	response	NOUN
fis-3204	107	20	diagram	diagram	NOUN
fis-3204	107	21	.	.	PUNCT
fis-3204	108	1	in	in	ADP
fis-3204	108	2	the	the	DET
fis-3204	108	3	static	static	ADJ
fis-3204	108	4	and	and	CCONJ
fis-3204	108	5	harmonic	harmonic	ADJ
fis-3204	108	6	analysis	analysis	NOUN
fis-3204	108	7	load	load	NOUN
fis-3204	108	8	of	of	ADP
fis-3204	108	9	300	300	NUM
fis-3204	108	10	n	n	NOUN
fis-3204	108	11	is	be	AUX
fis-3204	108	12	applied	apply	VERB
fis-3204	108	13	at	at	ADP
fis-3204	108	14	the	the	DET
fis-3204	108	15	central	central	ADJ
fis-3204	108	16	point	point	NOUN
fis-3204	108	17	of	of	ADP
fis-3204	108	18	the	the	DET
fis-3204	108	19	simply	simply	ADV
fis-3204	108	20	supported	support	VERB
fis-3204	108	21	beam	beam	NOUN
fis-3204	108	22	.	.	PUNCT
fis-3204	109	1	a	a	DET
fis-3204	109	2	20	20	NUM
fis-3204	109	3	node	node	ADJ
fis-3204	109	4	structural	structural	ADJ
fis-3204	109	5	solid	solid	ADJ
fis-3204	109	6	element	element	NOUN
fis-3204	109	7	(	(	PUNCT
fis-3204	109	8	solid	solid	ADJ
fis-3204	109	9	186	186	NUM
fis-3204	109	10	)	)	PUNCT
fis-3204	109	11	was	be	AUX
fis-3204	109	12	adopted	adopt	VERB
fis-3204	109	13	in	in	ADP
fis-3204	109	14	the	the	DET
fis-3204	109	15	analysis	analysis	NOUN
fis-3204	109	16	to	to	PART
fis-3204	109	17	model	model	VERB
fis-3204	109	18	the	the	DET
fis-3204	109	19	beam	beam	NOUN
fis-3204	109	20	.	.	PUNCT
fis-3204	110	1	a	a	DET
fis-3204	110	2	special	special	ADJ
fis-3204	110	3	mesh	mesh	NOUN
fis-3204	110	4	around	around	ADP
fis-3204	110	5	the	the	DET
fis-3204	110	6	crack	crack	NOUN
fis-3204	110	7	tip	tip	NOUN
fis-3204	110	8	was	be	AUX
fis-3204	110	9	established	establish	VERB
fis-3204	110	10	with	with	ADP
fis-3204	110	11	singular	singular	ADJ
fis-3204	110	12	elements	element	NOUN
fis-3204	110	13	surrounding	surround	VERB
fis-3204	110	14	the	the	DET
fis-3204	110	15	crack	crack	NOUN
fis-3204	110	16	apex	apex	NOUN
fis-3204	110	17	(	(	PUNCT
fis-3204	110	18	see	see	VERB
fis-3204	110	19	figure	figure	NOUN
fis-3204	110	20	4	4	NUM
fis-3204	110	21	)	)	PUNCT
fis-3204	110	22	.	.	PUNCT
fis-3204	111	1	t	t	PROPN
fis-3204	111	2	e.s.m.m	e.s.m.m	PROPN
fis-3204	111	3	.	.	PROPN
fis-3204	111	4	soliman	soliman	PROPN
fis-3204	111	5	,	,	PUNCT
fis-3204	111	6	frattura	frattura	PROPN
fis-3204	111	7	ed	ed	PROPN
fis-3204	111	8	integrità	integrità	PROPN
fis-3204	111	9	strutturale	strutturale	PROPN
fis-3204	111	10	,	,	PUNCT
fis-3204	111	11	58	58	NUM
fis-3204	111	12	(	(	PUNCT
fis-3204	111	13	2021	2021	NUM
fis-3204	111	14	)	)	PUNCT
fis-3204	111	15	151	151	NUM
fis-3204	111	16	-	-	SYM
fis-3204	111	17	165	165	NUM
fis-3204	111	18	;	;	PUNCT
fis-3204	111	19	doi	doi	NOUN
fis-3204	111	20	:	:	PUNCT
fis-3204	111	21	10.3221	10.3221	NUM
fis-3204	111	22	/	/	SYM
fis-3204	111	23	igf	igf	PROPN
fis-3204	111	24	-	-	PROPN
fis-3204	111	25	esis.58.11	esis.58.11	PROPN
fis-3204	111	26	157	157	NUM
fis-3204	111	27	mode	mode	NOUN
fis-3204	111	28	extraction	extraction	NOUN
fis-3204	111	29	and	and	CCONJ
fis-3204	111	30	harmonic	harmonic	ADJ
fis-3204	111	31	frequency	frequency	NOUN
fis-3204	111	32	n	n	PRON
fis-3204	111	33	modal	modal	ADJ
fis-3204	111	34	analysis	analysis	NOUN
fis-3204	111	35	,	,	PUNCT
fis-3204	111	36	the	the	DET
fis-3204	111	37	block	block	NOUN
fis-3204	111	38	lanczos	lanczo	NOUN
fis-3204	111	39	method	method	NOUN
fis-3204	111	40	was	be	AUX
fis-3204	111	41	used	use	VERB
fis-3204	111	42	to	to	PART
fis-3204	111	43	estimate	estimate	VERB
fis-3204	111	44	frequencies	frequency	NOUN
fis-3204	111	45	of	of	ADP
fis-3204	111	46	first	first	ADJ
fis-3204	111	47	two	two	NUM
fis-3204	111	48	mode	mode	NOUN
fis-3204	111	49	shapes	shape	NOUN
fis-3204	111	50	of	of	ADP
fis-3204	111	51	bending	bend	VERB
fis-3204	111	52	vibration	vibration	NOUN
fis-3204	111	53	for	for	ADP
fis-3204	111	54	undamaged	undamaged	ADJ
fis-3204	111	55	and	and	CCONJ
fis-3204	111	56	damaged	damaged	ADJ
fis-3204	111	57	beams	beam	NOUN
fis-3204	111	58	.	.	PUNCT
fis-3204	112	1	the	the	DET
fis-3204	112	2	first	first	ADJ
fis-3204	112	3	natural	natural	ADJ
fis-3204	112	4	frequencies	frequency	NOUN
fis-3204	112	5	of	of	ADP
fis-3204	112	6	damaged	damage	VERB
fis-3204	112	7	beams	beam	NOUN
fis-3204	112	8	are	be	AUX
fis-3204	112	9	calculated	calculate	VERB
fis-3204	112	10	analytically	analytically	ADV
fis-3204	112	11	using	use	VERB
fis-3204	112	12	eq	eq	ADP
fis-3204	112	13	.	.	PROPN
fis-3204	112	14	20	20	NUM
fis-3204	113	1	[	[	SYM
fis-3204	113	2	13	13	NUM
fis-3204	113	3	]	]	PUNCT
fis-3204	113	4	and	and	CCONJ
fis-3204	113	5	compared	compare	VERB
fis-3204	113	6	with	with	ADP
fis-3204	113	7	those	those	PRON
fis-3204	113	8	of	of	ADP
fis-3204	113	9	fea	fea	PROPN
fis-3204	113	10	.	.	PUNCT
fis-3204	114	1	as	as	SCONJ
fis-3204	114	2	depicted	depict	VERB
fis-3204	114	3	in	in	ADP
fis-3204	114	4	table	table	NOUN
fis-3204	114	5	2	2	NUM
fis-3204	114	6	,	,	PUNCT
fis-3204	114	7	it	it	PRON
fis-3204	114	8	is	be	AUX
fis-3204	114	9	found	find	VERB
fis-3204	114	10	that	that	SCONJ
fis-3204	114	11	analytical	analytical	ADJ
fis-3204	114	12	results	result	NOUN
fis-3204	114	13	have	have	AUX
fis-3204	114	14	been	be	AUX
fis-3204	114	15	met	meet	VERB
fis-3204	114	16	with	with	ADP
fis-3204	114	17	good	good	ADJ
fis-3204	114	18	agreement	agreement	NOUN
fis-3204	114	19	with	with	ADP
fis-3204	114	20	the	the	DET
fis-3204	114	21	fea	fea	NOUN
fis-3204	114	22	results	result	NOUN
fis-3204	114	23	and	and	CCONJ
fis-3204	114	24	thus	thus	ADV
fis-3204	114	25	validates	validate	VERB
fis-3204	114	26	the	the	DET
fis-3204	114	27	precise	precise	NOUN
fis-3204	114	28	of	of	ADP
fis-3204	114	29	developed	develop	VERB
fis-3204	114	30	model	model	NOUN
fis-3204	114	31	used	use	VERB
fis-3204	114	32	in	in	ADP
fis-3204	114	33	this	this	DET
fis-3204	114	34	study	study	NOUN
fis-3204	114	35	.	.	PUNCT
fis-3204	115	1	crack	crack	VERB
fis-3204	115	2	location	location	NOUN
fis-3204	115	3	ratio	ratio	NOUN
fis-3204	115	4	(	(	PUNCT
fis-3204	115	5	µ	µ	NOUN
fis-3204	115	6	)	)	PUNCT
fis-3204	115	7	crack	crack	NOUN
fis-3204	115	8	depth	depth	NOUN
fis-3204	115	9	ratio	ratio	NOUN
fis-3204	115	10	(	(	PUNCT
fis-3204	115	11	ψ	ψ	NOUN
fis-3204	115	12	)	)	PUNCT
fis-3204	115	13	first	first	ADJ
fis-3204	115	14	natural	natural	ADJ
fis-3204	115	15	frequency	frequency	NOUN
fis-3204	115	16	(	(	PUNCT
fis-3204	115	17	hz	hz	NOUN
fis-3204	115	18	)	)	PUNCT
fis-3204	115	19	variation	variation	NOUN
fis-3204	115	20	(	(	PUNCT
fis-3204	115	21	%	%	INTJ
fis-3204	115	22	)	)	PUNCT
fis-3204	115	23	analytical	analytical	ADJ
fis-3204	115	24	fea	fea	NOUN
fis-3204	115	25	0.1	0.1	NUM
fis-3204	115	26	0.2	0.2	NUM
fis-3204	115	27	302.39	302.39	NUM
fis-3204	115	28	303.648	303.648	NUM
fis-3204	115	29	-0.4	-0.4	NUM
fis-3204	115	30	0.1	0.1	NUM
fis-3204	115	31	0.3	0.3	NUM
fis-3204	115	32	294.13	294.13	NUM
fis-3204	115	33	302.708	302.708	NUM
fis-3204	115	34	-2.9	-2.9	NOUN
fis-3204	115	35	0.1	0.1	NUM
fis-3204	115	36	0.4	0.4	NUM
fis-3204	115	37	283.3	283.3	NUM
fis-3204	115	38	301.155	301.155	NUM
fis-3204	115	39	-6.3	-6.3	NOUN
fis-3204	115	40	0.2	0.2	NUM
fis-3204	115	41	0.2	0.2	NUM
fis-3204	115	42	302.9	302.9	NUM
fis-3204	115	43	302	302	NUM
fis-3204	115	44	0.3	0.3	NUM
fis-3204	115	45	0.2	0.2	NUM
fis-3204	115	46	0.3	0.3	NUM
fis-3204	115	47	295.2	295.2	NUM
fis-3204	115	48	298.82	298.82	NUM
fis-3204	115	49	-1.2	-1.2	NOUN
fis-3204	115	50	0.2	0.2	NUM
fis-3204	115	51	0.4	0.4	NUM
fis-3204	115	52	285.1	285.1	NUM
fis-3204	115	53	293.71	293.71	NUM
fis-3204	115	54	-3	-3	PUNCT
fis-3204	115	55	0.3	0.3	NUM
fis-3204	115	56	0.2	0.2	NUM
fis-3204	115	57	303.66	303.66	NUM
fis-3204	115	58	299.978	299.978	NUM
fis-3204	115	59	1.2	1.2	NUM
fis-3204	115	60	0.3	0.3	NUM
fis-3204	115	61	0.3	0.3	NUM
fis-3204	115	62	296.87	296.87	NUM
fis-3204	115	63	294.298	294.298	NUM
fis-3204	115	64	0.9	0.9	NUM
fis-3204	115	65	0.3	0.3	NUM
fis-3204	115	66	0.4	0.4	NUM
fis-3204	115	67	287.8	287.8	NUM
fis-3204	115	68	285.407	285.407	NUM
fis-3204	115	69	0.8	0.8	NUM
fis-3204	115	70	0.4	0.4	NUM
fis-3204	115	71	0.2	0.2	NUM
fis-3204	115	72	304.6	304.6	NUM
fis-3204	115	73	298.418	298.418	NUM
fis-3204	115	74	2	2	NUM
fis-3204	115	75	0.4	0.4	NUM
fis-3204	115	76	0.3	0.3	NUM
fis-3204	115	77	298.97	298.97	NUM
fis-3204	115	78	290.861	290.861	NUM
fis-3204	115	79	2.7	2.7	NUM
fis-3204	115	80	0.4	0.4	NUM
fis-3204	115	81	0.4	0.4	NUM
fis-3204	115	82	291.39	291.39	NUM
fis-3204	115	83	279.35	279.35	NUM
fis-3204	115	84	4.1	4.1	NUM
fis-3204	115	85	0.5	0.5	NUM
fis-3204	115	86	0.2	0.2	NUM
fis-3204	115	87	305.7	305.7	NUM
fis-3204	115	88	297.85	297.85	NUM
fis-3204	115	89	2.6	2.6	NUM
fis-3204	115	90	0.5	0.5	NUM
fis-3204	115	91	0.3	0.3	NUM
fis-3204	115	92	301.4	301.4	NUM
fis-3204	115	93	289.63	289.63	NUM
fis-3204	115	94	3.9	3.9	NUM
fis-3204	115	95	0.5	0.5	NUM
fis-3204	115	96	0.4	0.4	NUM
fis-3204	115	97	295.4	295.4	NUM
fis-3204	115	98	277.23	277.23	NUM
fis-3204	115	99	6.2	6.2	NUM
fis-3204	115	100	healthy	healthy	ADJ
fis-3204	115	101	un	un	ADJ
fis-3204	115	102	-	-	ADJ
fis-3204	115	103	damaged	damaged	ADJ
fis-3204	115	104	beam	beam	NOUN
fis-3204	115	105	309.34	309.34	NUM
fis-3204	115	106	304.34	304.34	NUM
fis-3204	115	107	1.6	1.6	NUM
fis-3204	115	108	table	table	NOUN
fis-3204	115	109	2	2	NUM
fis-3204	115	110	:	:	PUNCT
fis-3204	115	111	comparison	comparison	NOUN
fis-3204	115	112	between	between	ADP
fis-3204	115	113	analytical	analytical	ADJ
fis-3204	115	114	and	and	CCONJ
fis-3204	115	115	numerical	numerical	ADJ
fis-3204	115	116	results	result	NOUN
fis-3204	115	117	finite	finite	VERB
fis-3204	115	118	element	element	NOUN
fis-3204	115	119	analysis	analysis	NOUN
fis-3204	115	120	(	(	PUNCT
fis-3204	115	121	fea	fea	NOUN
fis-3204	115	122	)	)	PUNCT
fis-3204	115	123	results	result	VERB
fis-3204	115	124	for	for	ADP
fis-3204	115	125	the	the	DET
fis-3204	115	126	first	first	ADJ
fis-3204	115	127	two	two	NUM
fis-3204	115	128	mode	mode	NOUN
fis-3204	115	129	of	of	ADP
fis-3204	115	130	bending	bend	VERB
fis-3204	115	131	vibration	vibration	NOUN
fis-3204	115	132	for	for	ADP
fis-3204	115	133	some	some	DET
fis-3204	115	134	scenarios	scenario	NOUN
fis-3204	115	135	of	of	ADP
fis-3204	115	136	damaged	damage	VERB
fis-3204	115	137	beam	beam	NOUN
fis-3204	115	138	are	be	AUX
fis-3204	115	139	depicted	depict	VERB
fis-3204	115	140	in	in	ADP
fis-3204	115	141	figures	figure	NOUN
fis-3204	115	142	5	5	NUM
fis-3204	115	143	,	,	PUNCT
fis-3204	115	144	6	6	NUM
fis-3204	115	145	and	and	CCONJ
fis-3204	115	146	7	7	NUM
fis-3204	115	147	.	.	NUM
fis-3204	115	148	figures	figure	NOUN
fis-3204	115	149	8	8	NUM
fis-3204	115	150	and	and	CCONJ
fis-3204	115	151	9	9	NUM
fis-3204	115	152	show	show	VERB
fis-3204	115	153	the	the	DET
fis-3204	115	154	plotted	plot	VERB
fis-3204	115	155	of	of	ADP
fis-3204	115	156	first	first	ADJ
fis-3204	115	157	two	two	NUM
fis-3204	115	158	frequencies	frequency	NOUN
fis-3204	115	159	of	of	ADP
fis-3204	115	160	bending	bend	VERB
fis-3204	115	161	mode	mode	NOUN
fis-3204	115	162	as	as	ADP
fis-3204	115	163	a	a	DET
fis-3204	115	164	function	function	NOUN
fis-3204	115	165	of	of	ADP
fis-3204	115	166	crack	crack	NOUN
fis-3204	115	167	location	location	NOUN
fis-3204	115	168	ratio	ratio	NOUN
fis-3204	115	169	for	for	ADP
fis-3204	115	170	varying	vary	VERB
fis-3204	115	171	crack	crack	NOUN
fis-3204	115	172	depth	depth	NOUN
fis-3204	115	173	ratio	ratio	NOUN
fis-3204	115	174	.	.	PUNCT
fis-3204	116	1	the	the	DET
fis-3204	116	2	influence	influence	NOUN
fis-3204	116	3	of	of	ADP
fis-3204	116	4	crack	crack	VERB
fis-3204	116	5	location	location	NOUN
fis-3204	116	6	ratio	ratio	NOUN
fis-3204	116	7	and	and	CCONJ
fis-3204	116	8	crack	crack	VERB
fis-3204	116	9	depth	depth	NOUN
fis-3204	116	10	ratio	ratio	NOUN
fis-3204	116	11	on	on	ADP
fis-3204	116	12	first	first	ADJ
fis-3204	116	13	two	two	NUM
fis-3204	116	14	frequencies	frequency	NOUN
fis-3204	116	15	of	of	ADP
fis-3204	116	16	bending	bend	VERB
fis-3204	116	17	mode	mode	NOUN
fis-3204	116	18	is	be	AUX
fis-3204	116	19	indicated	indicate	VERB
fis-3204	116	20	in	in	ADP
fis-3204	116	21	figures	figure	NOUN
fis-3204	116	22	10	10	NUM
fis-3204	116	23	and	and	CCONJ
fis-3204	116	24	11	11	NUM
fis-3204	116	25	.	.	PUNCT
fis-3204	116	26	from	from	ADP
fis-3204	116	27	figures	figure	NOUN
fis-3204	116	28	8	8	NUM
fis-3204	116	29	,	,	PUNCT
fis-3204	116	30	9	9	NUM
fis-3204	116	31	,	,	PUNCT
fis-3204	116	32	10	10	NUM
fis-3204	116	33	and	and	CCONJ
fis-3204	116	34	11	11	NUM
fis-3204	116	35	it	it	PRON
fis-3204	116	36	is	be	AUX
fis-3204	116	37	observed	observe	VERB
fis-3204	116	38	the	the	DET
fis-3204	116	39	following	following	NOUN
fis-3204	116	40	:	:	PUNCT
fis-3204	116	41	1when	1when	NUM
fis-3204	116	42	the	the	DET
fis-3204	116	43	crack	crack	NOUN
fis-3204	116	44	depth	depth	NOUN
fis-3204	116	45	ratio	ratio	NOUN
fis-3204	116	46	is	be	AUX
fis-3204	116	47	kept	keep	VERB
fis-3204	116	48	constant	constant	ADJ
fis-3204	116	49	and	and	CCONJ
fis-3204	116	50	crack	crack	VERB
fis-3204	116	51	location	location	NOUN
fis-3204	116	52	ratio	ratio	NOUN
fis-3204	116	53	is	be	AUX
fis-3204	116	54	increased	increase	VERB
fis-3204	116	55	from	from	ADP
fis-3204	116	56	the	the	DET
fis-3204	116	57	left	left	ADJ
fis-3204	116	58	hand	hand	NOUN
fis-3204	116	59	support	support	NOUN
fis-3204	116	60	of	of	ADP
fis-3204	116	61	the	the	DET
fis-3204	116	62	simply	simply	ADV
fis-3204	116	63	supported	support	VERB
fis-3204	116	64	beam	beam	NOUN
fis-3204	116	65	,	,	PUNCT
fis-3204	116	66	then	then	ADV
fis-3204	116	67	first	first	ADJ
fis-3204	116	68	frequency	frequency	NOUN
fis-3204	116	69	of	of	ADP
fis-3204	116	70	bending	bend	VERB
fis-3204	116	71	mode	mode	NOUN
fis-3204	116	72	decreases	decrease	VERB
fis-3204	116	73	up	up	ADP
fis-3204	116	74	to	to	ADP
fis-3204	116	75	central	central	ADJ
fis-3204	116	76	point	point	NOUN
fis-3204	116	77	of	of	ADP
fis-3204	116	78	the	the	DET
fis-3204	116	79	beam	beam	NOUN
fis-3204	116	80	.	.	PUNCT
fis-3204	117	1	2when	2when	PRON
fis-3204	117	2	the	the	DET
fis-3204	117	3	crack	crack	NOUN
fis-3204	117	4	depth	depth	NOUN
fis-3204	117	5	ratio	ratio	NOUN
fis-3204	117	6	is	be	AUX
fis-3204	117	7	kept	keep	VERB
fis-3204	117	8	constant	constant	ADJ
fis-3204	117	9	and	and	CCONJ
fis-3204	117	10	crack	crack	VERB
fis-3204	117	11	location	location	NOUN
fis-3204	117	12	ratio	ratio	NOUN
fis-3204	117	13	is	be	AUX
fis-3204	117	14	increased	increase	VERB
fis-3204	117	15	from	from	ADP
fis-3204	117	16	the	the	DET
fis-3204	117	17	beam	beam	NOUN
fis-3204	117	18	midpoint	midpoint	NOUN
fis-3204	117	19	towards	towards	ADP
fis-3204	117	20	the	the	DET
fis-3204	117	21	right	right	ADJ
fis-3204	117	22	hand	hand	NOUN
fis-3204	117	23	support	support	NOUN
fis-3204	117	24	of	of	ADP
fis-3204	117	25	the	the	DET
fis-3204	117	26	beam	beam	NOUN
fis-3204	117	27	,	,	PUNCT
fis-3204	117	28	then	then	ADV
fis-3204	117	29	first	first	ADJ
fis-3204	117	30	frequency	frequency	NOUN
fis-3204	117	31	of	of	ADP
fis-3204	117	32	bending	bend	VERB
fis-3204	117	33	mode	mode	NOUN
fis-3204	117	34	increases	increase	NOUN
fis-3204	117	35	.	.	PUNCT
fis-3204	118	1	3for	3for	ADP
fis-3204	118	2	the	the	DET
fis-3204	118	3	second	second	ADJ
fis-3204	118	4	mode	mode	NOUN
fis-3204	118	5	of	of	ADP
fis-3204	118	6	bending	bend	VERB
fis-3204	118	7	vibration	vibration	NOUN
fis-3204	118	8	,	,	PUNCT
fis-3204	118	9	when	when	SCONJ
fis-3204	118	10	the	the	DET
fis-3204	118	11	crack	crack	NOUN
fis-3204	118	12	depth	depth	NOUN
fis-3204	118	13	ratio	ratio	NOUN
fis-3204	118	14	is	be	AUX
fis-3204	118	15	kept	keep	VERB
fis-3204	118	16	constant	constant	ADJ
fis-3204	118	17	the	the	DET
fis-3204	118	18	decreasing	decrease	VERB
fis-3204	118	19	of	of	ADP
fis-3204	118	20	frequency	frequency	NOUN
fis-3204	118	21	is	be	AUX
fis-3204	118	22	the	the	DET
fis-3204	118	23	following	following	ADJ
fis-3204	118	24	ways	way	NOUN
fis-3204	118	25	:	:	PUNCT
fis-3204	118	26	(	(	PUNCT
fis-3204	118	27	a	a	X
fis-3204	118	28	)	)	PUNCT
fis-3204	118	29	at	at	ADP
fis-3204	118	30	µ	µ	NOUN
fis-3204	118	31	=	=	SYM
fis-3204	118	32	0.1	0.1	NUM
fis-3204	118	33	,	,	PUNCT
fis-3204	118	34	it	it	PRON
fis-3204	118	35	is	be	AUX
fis-3204	118	36	moderate	moderate	ADJ
fis-3204	118	37	decreasing	decrease	VERB
fis-3204	118	38	,	,	PUNCT
fis-3204	118	39	(	(	PUNCT
fis-3204	118	40	b	b	NOUN
fis-3204	118	41	)	)	PUNCT
fis-3204	118	42	at	at	ADP
fis-3204	118	43	µ	µ	NOUN
fis-3204	118	44	=	=	SYM
fis-3204	118	45	0.3	0.3	NUM
fis-3204	118	46	,	,	PUNCT
fis-3204	118	47	it	it	PRON
fis-3204	118	48	is	be	AUX
fis-3204	118	49	maximum	maximum	ADJ
fis-3204	118	50	decreasing	decreasing	NOUN
fis-3204	118	51	,	,	PUNCT
fis-3204	118	52	and	and	CCONJ
fis-3204	118	53	(	(	PUNCT
fis-3204	118	54	c	c	NOUN
fis-3204	118	55	)	)	PUNCT
fis-3204	118	56	at	at	ADP
fis-3204	118	57	µ	µ	NOUN
fis-3204	118	58	=	=	SYM
fis-3204	118	59	0.4	0.4	NUM
fis-3204	118	60	,	,	PUNCT
fis-3204	118	61	it	it	PRON
fis-3204	118	62	is	be	AUX
fis-3204	118	63	minimum	minimum	ADJ
fis-3204	118	64	decreasing	decreasing	NOUN
fis-3204	118	65	.	.	PUNCT
fis-3204	119	1	the	the	DET
fis-3204	119	2	amount	amount	NOUN
fis-3204	119	3	of	of	ADP
fis-3204	119	4	decreasing	decrease	VERB
fis-3204	119	5	frequencies	frequency	NOUN
fis-3204	119	6	for	for	ADP
fis-3204	119	7	damaged	damage	VERB
fis-3204	119	8	beam	beam	NOUN
fis-3204	119	9	is	be	AUX
fis-3204	119	10	showed	show	VERB
fis-3204	119	11	as	as	ADP
fis-3204	119	12	shift	shift	NOUN
fis-3204	119	13	between	between	ADP
fis-3204	119	14	frequencies	frequency	NOUN
fis-3204	119	15	of	of	ADP
fis-3204	119	16	damaged	damage	VERB
fis-3204	119	17	and	and	CCONJ
fis-3204	119	18	undamaged	undamaged	ADJ
fis-3204	119	19	beams	beam	NOUN
fis-3204	119	20	in	in	ADP
fis-3204	119	21	frequency	frequency	NOUN
fis-3204	119	22	response	response	NOUN
fis-3204	119	23	diagram	diagram	NOUN
fis-3204	119	24	as	as	SCONJ
fis-3204	119	25	indicated	indicate	VERB
fis-3204	119	26	in	in	ADP
fis-3204	119	27	figures	figure	NOUN
fis-3204	119	28	12	12	NUM
fis-3204	119	29	and	and	CCONJ
fis-3204	119	30	13	13	NUM
fis-3204	119	31	.	.	PUNCT
fis-3204	120	1	the	the	DET
fis-3204	120	2	shift	shift	NOUN
fis-3204	120	3	between	between	ADP
fis-3204	120	4	frequencies	frequency	NOUN
fis-3204	120	5	of	of	ADP
fis-3204	120	6	damaged	damage	VERB
fis-3204	120	7	and	and	CCONJ
fis-3204	120	8	undamaged	undamaged	ADJ
fis-3204	120	9	beams	beam	NOUN
fis-3204	120	10	can	can	AUX
fis-3204	120	11	be	be	AUX
fis-3204	120	12	expressed	express	VERB
fis-3204	120	13	as	as	ADP
fis-3204	120	14	:	:	PUNCT
fis-3204	120	15			PROPN
fis-3204	121	1			PROPN
fis-3204	121	2	f	f	PROPN
fis-3204	122	1	f	f	PROPN
fis-3204	122	2	fn	fn	PROPN
fis-3204	123	1	n	n	INTJ
fis-3204	123	2	cn	cn	PROPN
fis-3204	123	3	(	(	PUNCT
fis-3204	123	4	24	24	NUM
fis-3204	123	5	)	)	PUNCT
fis-3204	123	6	where	where	SCONJ
fis-3204	123	7	n	n	PRON
fis-3204	123	8	is	be	AUX
fis-3204	123	9	number	number	NOUN
fis-3204	123	10	of	of	ADP
fis-3204	123	11	bending	bend	VERB
fis-3204	123	12	mode	mode	NOUN
fis-3204	123	13	,	,	PUNCT
fis-3204	123	14	f	f	PROPN
fis-3204	123	15	is	be	AUX
fis-3204	123	16	un	un	ADJ
fis-3204	123	17	-	-	ADJ
fis-3204	123	18	damaged	damage	VERB
fis-3204	123	19	beam	beam	NOUN
fis-3204	123	20	frequency	frequency	NOUN
fis-3204	123	21	and	and	CCONJ
fis-3204	123	22	fc	fc	PROPN
fis-3204	123	23	is	be	AUX
fis-3204	123	24	damaged	damage	VERB
fis-3204	123	25	beam	beam	NOUN
fis-3204	123	26	frequency	frequency	NOUN
fis-3204	123	27	.	.	PUNCT
fis-3204	124	1	i	i	PRON
fis-3204	124	2	e.s.m.m	e.s.m.m	PROPN
fis-3204	124	3	.	.	PROPN
fis-3204	124	4	soliman	soliman	PROPN
fis-3204	124	5	,	,	PUNCT
fis-3204	124	6	frattura	frattura	PROPN
fis-3204	124	7	ed	ed	PROPN
fis-3204	124	8	integrità	integrità	PROPN
fis-3204	124	9	strutturale	strutturale	PROPN
fis-3204	124	10	,	,	PUNCT
fis-3204	124	11	58	58	NUM
fis-3204	124	12	(	(	PUNCT
fis-3204	124	13	2021	2021	NUM
fis-3204	124	14	)	)	PUNCT
fis-3204	124	15	151	151	NUM
fis-3204	124	16	-	-	SYM
fis-3204	124	17	165	165	NUM
fis-3204	124	18	;	;	PUNCT
fis-3204	124	19	doi	doi	NOUN
fis-3204	124	20	:	:	PUNCT
fis-3204	124	21	10.3221	10.3221	NUM
fis-3204	124	22	/	/	SYM
fis-3204	124	23	igf	igf	PROPN
fis-3204	124	24	-	-	ADJ
fis-3204	124	25	esis.58.11	esis.58.11	ADJ
fis-3204	124	26	158	158	NUM
fis-3204	124	27	figure	figure	NOUN
fis-3204	124	28	5	5	NUM
fis-3204	124	29	:	:	PUNCT
fis-3204	124	30	fea	fea	PROPN
fis-3204	124	31	results	result	NOUN
fis-3204	124	32	of	of	ADP
fis-3204	124	33	first	first	ADJ
fis-3204	124	34	two	two	NUM
fis-3204	124	35	mode	mode	NOUN
fis-3204	124	36	shapes	shape	NOUN
fis-3204	124	37	of	of	ADP
fis-3204	124	38	bending	bend	VERB
fis-3204	124	39	vibration	vibration	NOUN
fis-3204	124	40	for	for	ADP
fis-3204	124	41	damaged	damaged	ADJ
fis-3204	124	42	beam	beam	NOUN
fis-3204	124	43	:	:	PUNCT
fis-3204	124	44	µ	µ	X
fis-3204	124	45	=	=	SYM
fis-3204	124	46	0.1	0.1	NUM
fis-3204	124	47	,	,	PUNCT
fis-3204	124	48	ψ	ψ	X
fis-3204	124	49	=	=	SYM
fis-3204	124	50	0.4	0.4	NUM
fis-3204	124	51	figure	figure	NOUN
fis-3204	124	52	6	6	NUM
fis-3204	124	53	:	:	PUNCT
fis-3204	124	54	fea	fea	PROPN
fis-3204	124	55	results	result	NOUN
fis-3204	124	56	of	of	ADP
fis-3204	124	57	first	first	ADJ
fis-3204	124	58	two	two	NUM
fis-3204	124	59	mode	mode	NOUN
fis-3204	124	60	shapes	shape	NOUN
fis-3204	124	61	of	of	ADP
fis-3204	124	62	bending	bend	VERB
fis-3204	124	63	vibration	vibration	NOUN
fis-3204	124	64	for	for	ADP
fis-3204	124	65	damaged	damaged	ADJ
fis-3204	124	66	beam	beam	NOUN
fis-3204	124	67	:	:	PUNCT
fis-3204	124	68	µ	µ	X
fis-3204	124	69	=	=	SYM
fis-3204	124	70	0.3	0.3	NUM
fis-3204	124	71	,	,	PUNCT
fis-3204	124	72	ψ	ψ	X
fis-3204	124	73	=	=	SYM
fis-3204	124	74	0.4	0.4	NUM
fis-3204	124	75	e.s.m.m	e.s.m.m	PROPN
fis-3204	124	76	.	.	PROPN
fis-3204	124	77	soliman	soliman	PROPN
fis-3204	124	78	,	,	PUNCT
fis-3204	124	79	frattura	frattura	PROPN
fis-3204	124	80	ed	ed	PROPN
fis-3204	124	81	integrità	integrità	PROPN
fis-3204	124	82	strutturale	strutturale	PROPN
fis-3204	124	83	,	,	PUNCT
fis-3204	124	84	58	58	NUM
fis-3204	124	85	(	(	PUNCT
fis-3204	124	86	2021	2021	NUM
fis-3204	124	87	)	)	PUNCT
fis-3204	124	88	151	151	NUM
fis-3204	124	89	-	-	SYM
fis-3204	124	90	165	165	NUM
fis-3204	124	91	;	;	PUNCT
fis-3204	124	92	doi	doi	NOUN
fis-3204	124	93	:	:	PUNCT
fis-3204	124	94	10.3221	10.3221	NUM
fis-3204	124	95	/	/	SYM
fis-3204	124	96	igf	igf	PROPN
fis-3204	124	97	-	-	PUNCT
fis-3204	124	98	esis.58.11	esis.58.11	PROPN
fis-3204	124	99	159	159	NUM
fis-3204	124	100	figure	figure	NOUN
fis-3204	124	101	7	7	NUM
fis-3204	124	102	:	:	PUNCT
fis-3204	124	103	fea	fea	PROPN
fis-3204	124	104	results	result	NOUN
fis-3204	124	105	of	of	ADP
fis-3204	124	106	first	first	ADJ
fis-3204	124	107	two	two	NUM
fis-3204	124	108	mode	mode	NOUN
fis-3204	124	109	shapes	shape	NOUN
fis-3204	124	110	of	of	ADP
fis-3204	124	111	bending	bend	VERB
fis-3204	124	112	vibration	vibration	NOUN
fis-3204	124	113	for	for	ADP
fis-3204	124	114	damaged	damaged	ADJ
fis-3204	124	115	beam	beam	NOUN
fis-3204	124	116	:	:	PUNCT
fis-3204	124	117	µ	µ	X
fis-3204	124	118	=	=	SYM
fis-3204	124	119	0.4	0.4	NUM
fis-3204	124	120	,	,	PUNCT
fis-3204	124	121	ψ	ψ	X
fis-3204	124	122	=	=	SYM
fis-3204	124	123	0.4	0.4	NUM
fis-3204	124	124	figure	figure	NOUN
fis-3204	124	125	8	8	NUM
fis-3204	124	126	:	:	PUNCT
fis-3204	124	127	variation	variation	NOUN
fis-3204	124	128	of	of	ADP
fis-3204	124	129	first	first	ADJ
fis-3204	124	130	bending	bend	VERB
fis-3204	124	131	mode	mode	NOUN
fis-3204	124	132	frequency	frequency	NOUN
fis-3204	124	133	vs.	vs.	ADP
fis-3204	124	134	crack	crack	NOUN
fis-3204	124	135	location	location	NOUN
fis-3204	124	136	ratio	ratio	NOUN
fis-3204	124	137	.	.	PUNCT
fis-3204	125	1	figure	figure	NOUN
fis-3204	125	2	9	9	NUM
fis-3204	125	3	:	:	PUNCT
fis-3204	125	4	variation	variation	NOUN
fis-3204	125	5	of	of	ADP
fis-3204	125	6	second	second	ADJ
fis-3204	125	7	bending	bend	VERB
fis-3204	125	8	mode	mode	NOUN
fis-3204	125	9	frequency	frequency	NOUN
fis-3204	125	10	vs.	vs.	ADP
fis-3204	125	11	crack	crack	NOUN
fis-3204	125	12	location	location	NOUN
fis-3204	125	13	ratio	ratio	NOUN
fis-3204	125	14	.	.	PUNCT
fis-3204	126	1	crack	crack	VERB
fis-3204	126	2	damage	damage	NOUN
fis-3204	126	3	severity	severity	NOUN
fis-3204	126	4	n	n	CCONJ
fis-3204	126	5	this	this	DET
fis-3204	126	6	study	study	NOUN
fis-3204	126	7	,	,	PUNCT
fis-3204	126	8	similar	similar	ADJ
fis-3204	126	9	to	to	ADP
fis-3204	126	10	khalkar	khalkar	NOUN
fis-3204	127	1	[	[	X
fis-3204	127	2	17	17	NUM
fis-3204	127	3	]	]	PUNCT
fis-3204	127	4	,	,	PUNCT
fis-3204	127	5	static	static	ADJ
fis-3204	127	6	finite	finite	ADJ
fis-3204	127	7	element	element	NOUN
fis-3204	127	8	analysis	analysis	NOUN
fis-3204	127	9	is	be	AUX
fis-3204	127	10	carried	carry	VERB
fis-3204	127	11	out	out	ADP
fis-3204	127	12	and	and	CCONJ
fis-3204	127	13	static	static	ADJ
fis-3204	127	14	deflection	deflection	NOUN
fis-3204	127	15	at	at	ADP
fis-3204	127	16	the	the	DET
fis-3204	127	17	midpoint	midpoint	NOUN
fis-3204	127	18	of	of	ADP
fis-3204	127	19	undamaged	undamaged	ADJ
fis-3204	127	20	and	and	CCONJ
fis-3204	127	21	damaged	damaged	ADJ
fis-3204	127	22	beams	beam	NOUN
fis-3204	127	23	is	be	AUX
fis-3204	127	24	obtained	obtain	VERB
fis-3204	127	25	.	.	PUNCT
fis-3204	128	1	fea	fea	PROPN
fis-3204	128	2	static	static	ADJ
fis-3204	128	3	deflection	deflection	NOUN
fis-3204	128	4	plots	plot	NOUN
fis-3204	128	5	for	for	ADP
fis-3204	128	6	some	some	DET
fis-3204	128	7	scenarios	scenario	NOUN
fis-3204	128	8	of	of	ADP
fis-3204	128	9	damaged	damage	VERB
fis-3204	128	10	beam	beam	NOUN
fis-3204	128	11	are	be	AUX
fis-3204	128	12	shown	show	VERB
fis-3204	128	13	in	in	ADP
fis-3204	128	14	figure	figure	NOUN
fis-3204	128	15	14	14	NUM
fis-3204	128	16	.	.	PUNCT
fis-3204	129	1	figure	figure	NOUN
fis-3204	129	2	15	15	NUM
fis-3204	129	3	shows	show	VERB
fis-3204	129	4	the	the	DET
fis-3204	129	5	variation	variation	NOUN
fis-3204	129	6	of	of	ADP
fis-3204	129	7	static	static	ADJ
fis-3204	129	8	deflection	deflection	NOUN
fis-3204	129	9	versus	versus	ADP
fis-3204	129	10	crack	crack	VERB
fis-3204	129	11	location	location	NOUN
fis-3204	129	12	ratio	ratio	NOUN
fis-3204	129	13	and	and	CCONJ
fis-3204	129	14	crack	crack	VERB
fis-3204	129	15	depth	depth	NOUN
fis-3204	129	16	ratio	ratio	NOUN
fis-3204	129	17	.	.	PUNCT
fis-3204	130	1	from	from	ADP
fis-3204	130	2	figure	figure	NOUN
fis-3204	130	3	15	15	NUM
fis-3204	130	4	,	,	PUNCT
fis-3204	130	5	it	it	PRON
fis-3204	130	6	is	be	AUX
fis-3204	130	7	observed	observe	VERB
fis-3204	130	8	that	that	SCONJ
fis-3204	130	9	when	when	SCONJ
fis-3204	130	10	the	the	DET
fis-3204	130	11	crack	crack	NOUN
fis-3204	130	12	location	location	NOUN
fis-3204	130	13	ratio	ratio	NOUN
fis-3204	130	14	is	be	AUX
fis-3204	130	15	increased	increase	VERB
fis-3204	130	16	from	from	ADP
fis-3204	130	17	the	the	DET
fis-3204	130	18	left	left	ADJ
fis-3204	130	19	hand	hand	NOUN
fis-3204	130	20	support	support	NOUN
fis-3204	130	21	of	of	ADP
fis-3204	130	22	the	the	DET
fis-3204	130	23	simply	simply	ADV
fis-3204	130	24	supported	support	VERB
fis-3204	130	25	beam	beam	NOUN
fis-3204	130	26	up	up	ADP
fis-3204	130	27	to	to	ADP
fis-3204	130	28	midpoint	midpoint	NOUN
fis-3204	130	29	of	of	ADP
fis-3204	130	30	the	the	DET
fis-3204	130	31	beam	beam	NOUN
fis-3204	130	32	and	and	CCONJ
fis-3204	130	33	crack	crack	VERB
fis-3204	130	34	depth	depth	NOUN
fis-3204	130	35	ratio	ratio	NOUN
fis-3204	130	36	is	be	AUX
fis-3204	130	37	increased	increase	VERB
fis-3204	130	38	,	,	PUNCT
fis-3204	130	39	then	then	ADV
fis-3204	130	40	static	static	ADJ
fis-3204	130	41	deflection	deflection	NOUN
fis-3204	130	42	increases	increase	NOUN
fis-3204	130	43	.	.	PUNCT
fis-3204	131	1	stiffness	stiffness	NOUN
fis-3204	131	2	of	of	ADP
fis-3204	131	3	undamaged	undamaged	ADJ
fis-3204	131	4	and	and	CCONJ
fis-3204	131	5	damaged	damaged	ADJ
fis-3204	131	6	beams	beam	NOUN
fis-3204	131	7	is	be	AUX
fis-3204	131	8	computed	compute	VERB
fis-3204	131	9	using	use	VERB
fis-3204	131	10	the	the	DET
fis-3204	131	11	following	following	ADJ
fis-3204	131	12	conventional	conventional	ADJ
fis-3204	131	13	formula	formula	NOUN
fis-3204	131	14	[	[	X
fis-3204	131	15	18	18	NUM
fis-3204	131	16	]	]	X
fis-3204	131	17	:	:	PUNCT
fis-3204	131	18	i	i	PRON
fis-3204	131	19	e.s.m.m	e.s.m.m	PROPN
fis-3204	131	20	.	.	PROPN
fis-3204	131	21	soliman	soliman	PROPN
fis-3204	131	22	,	,	PUNCT
fis-3204	131	23	frattura	frattura	PROPN
fis-3204	131	24	ed	ed	PROPN
fis-3204	131	25	integrità	integrità	PROPN
fis-3204	131	26	strutturale	strutturale	PROPN
fis-3204	131	27	,	,	PUNCT
fis-3204	131	28	58	58	NUM
fis-3204	131	29	(	(	PUNCT
fis-3204	131	30	2021	2021	NUM
fis-3204	131	31	)	)	PUNCT
fis-3204	131	32	151	151	NUM
fis-3204	131	33	-	-	SYM
fis-3204	131	34	165	165	NUM
fis-3204	131	35	;	;	PUNCT
fis-3204	131	36	doi	doi	NOUN
fis-3204	131	37	:	:	PUNCT
fis-3204	131	38	10.3221	10.3221	NUM
fis-3204	131	39	/	/	SYM
fis-3204	131	40	igf	igf	PROPN
fis-3204	131	41	-	-	PROPN
fis-3204	131	42	esis.58.11	esis.58.11	PROPN
fis-3204	131	43	160	160	NUM
fis-3204	131	44			NUM
fis-3204	131	45			PROPN
fis-3204	131	46	f	f	X
fis-3204	131	47	k	k	X
fis-3204	131	48	(	(	PUNCT
fis-3204	131	49	25	25	NUM
fis-3204	131	50	)	)	PUNCT
fis-3204	131	51	where	where	SCONJ
fis-3204	131	52	k	k	PROPN
fis-3204	131	53	is	be	AUX
fis-3204	131	54	stiffness	stiffness	NOUN
fis-3204	131	55	of	of	ADP
fis-3204	131	56	beam	beam	NOUN
fis-3204	131	57	,	,	PUNCT
fis-3204	131	58	f	f	PROPN
fis-3204	131	59	is	be	AUX
fis-3204	131	60	load	load	NOUN
fis-3204	131	61	and	and	CCONJ
fis-3204	131	62	δ	δ	PROPN
fis-3204	131	63	is	be	AUX
fis-3204	131	64	static	static	ADJ
fis-3204	131	65	deflection	deflection	NOUN
fis-3204	131	66	or	or	CCONJ
fis-3204	131	67	zero	zero	NUM
fis-3204	131	68	frequency	frequency	NOUN
fis-3204	131	69	deflection	deflection	NOUN
fis-3204	131	70	.	.	PUNCT
fis-3204	132	1	in	in	ADP
fis-3204	132	2	this	this	DET
fis-3204	132	3	study	study	NOUN
fis-3204	132	4	,	,	PUNCT
fis-3204	132	5	the	the	DET
fis-3204	132	6	severity	severity	NOUN
fis-3204	132	7	of	of	ADP
fis-3204	132	8	crack	crack	NOUN
fis-3204	132	9	can	can	AUX
fis-3204	132	10	be	be	AUX
fis-3204	132	11	expressed	express	VERB
fis-3204	132	12	as	as	ADP
fis-3204	132	13	crack	crack	NOUN
fis-3204	132	14	damage	damage	NOUN
fis-3204	132	15	severity	severity	NOUN
fis-3204	132	16	(	(	PUNCT
fis-3204	132	17	%	%	INTJ
fis-3204	132	18	)	)	PUNCT
fis-3204	132	19	which	which	PRON
fis-3204	132	20	is	be	AUX
fis-3204	132	21	estimated	estimate	VERB
fis-3204	132	22	using	use	VERB
fis-3204	132	23	the	the	DET
fis-3204	132	24	following	follow	VERB
fis-3204	132	25	equation	equation	NOUN
fis-3204	132	26	:	:	PUNCT
fis-3204	132	27			NOUN
fis-3204	132	28			NOUN
fis-3204	133	1			NOUN
fis-3204	133	2	100	100	INTJ
fis-3204	134	1	k	k	PROPN
fis-3204	134	2	kundamaged	kundamage	VERB
fis-3204	134	3	damaged	damage	VERB
fis-3204	134	4	k	k	PROPN
fis-3204	134	5	kundamaged	kundamage	VERB
fis-3204	134	6	(	(	PUNCT
fis-3204	134	7	26	26	NUM
fis-3204	134	8	)	)	PUNCT
fis-3204	134	9	where	where	SCONJ
fis-3204	134	10	δk	δk	PROPN
fis-3204	134	11	is	be	AUX
fis-3204	134	12	crack	crack	VERB
fis-3204	134	13	damage	damage	NOUN
fis-3204	134	14	severity	severity	NOUN
fis-3204	134	15	,	,	PUNCT
fis-3204	134	16	kundamaged	kundamage	VERB
fis-3204	134	17	is	be	AUX
fis-3204	134	18	stiffness	stiffness	NOUN
fis-3204	134	19	of	of	ADP
fis-3204	134	20	undamaged	undamaged	ADJ
fis-3204	134	21	beam	beam	NOUN
fis-3204	134	22	and	and	CCONJ
fis-3204	134	23	kdamaged	kdamage	VERB
fis-3204	134	24	is	be	AUX
fis-3204	134	25	stiffness	stiffness	NOUN
fis-3204	134	26	of	of	ADP
fis-3204	134	27	damaged	damage	VERB
fis-3204	134	28	beam	beam	NOUN
fis-3204	134	29	.	.	PUNCT
fis-3204	135	1	figure	figure	NOUN
fis-3204	135	2	10	10	NUM
fis-3204	135	3	:	:	PUNCT
fis-3204	135	4	variation	variation	NOUN
fis-3204	135	5	of	of	ADP
fis-3204	135	6	first	first	ADJ
fis-3204	135	7	bending	bend	VERB
fis-3204	135	8	mode	mode	NOUN
fis-3204	135	9	frequency	frequency	NOUN
fis-3204	135	10	vs.	vs.	ADP
fis-3204	135	11	µ	µ	NOUN
fis-3204	135	12	and	and	CCONJ
fis-3204	135	13	ψ	ψ	PROPN
fis-3204	135	14	.	.	NOUN
fis-3204	135	15	figure	figure	NOUN
fis-3204	135	16	11	11	NUM
fis-3204	135	17	:	:	PUNCT
fis-3204	135	18	variation	variation	NOUN
fis-3204	135	19	of	of	ADP
fis-3204	135	20	second	second	ADJ
fis-3204	135	21	bending	bend	VERB
fis-3204	135	22	mode	mode	NOUN
fis-3204	135	23	frequency	frequency	NOUN
fis-3204	135	24	vs.	vs.	ADP
fis-3204	135	25	µ	µ	NOUN
fis-3204	135	26	and	and	CCONJ
fis-3204	135	27	ψ	ψ	NOUN
fis-3204	135	28	.	.	PUNCT
fis-3204	136	1	e.s.m.m	e.s.m.m	PROPN
fis-3204	136	2	.	.	PROPN
fis-3204	136	3	soliman	soliman	PROPN
fis-3204	136	4	,	,	PUNCT
fis-3204	136	5	frattura	frattura	PROPN
fis-3204	136	6	ed	ed	PROPN
fis-3204	136	7	integrità	integrità	PROPN
fis-3204	136	8	strutturale	strutturale	PROPN
fis-3204	136	9	,	,	PUNCT
fis-3204	136	10	58	58	NUM
fis-3204	136	11	(	(	PUNCT
fis-3204	136	12	2021	2021	NUM
fis-3204	136	13	)	)	PUNCT
fis-3204	136	14	151	151	NUM
fis-3204	136	15	-	-	SYM
fis-3204	136	16	165	165	NUM
fis-3204	136	17	;	;	PUNCT
fis-3204	136	18	doi	doi	NOUN
fis-3204	136	19	:	:	PUNCT
fis-3204	136	20	10.3221	10.3221	NUM
fis-3204	136	21	/	/	SYM
fis-3204	136	22	igf	igf	PROPN
fis-3204	136	23	-	-	ADJ
fis-3204	136	24	esis.58.11	esis.58.11	ADJ
fis-3204	136	25	161	161	NUM
fis-3204	136	26	figure	figure	NOUN
fis-3204	136	27	12	12	NUM
fis-3204	136	28	:	:	PUNCT
fis-3204	136	29	harmonic	harmonic	ADJ
fis-3204	136	30	response	response	NOUN
fis-3204	136	31	for	for	ADP
fis-3204	136	32	the	the	DET
fis-3204	136	33	damaged	damage	VERB
fis-3204	136	34	beam	beam	NOUN
fis-3204	136	35	;	;	PUNCT
fis-3204	136	36	ψ	ψ	X
fis-3204	136	37	=	=	SYM
fis-3204	136	38	0.4	0.4	NUM
fis-3204	136	39	in	in	ADP
fis-3204	136	40	the	the	DET
fis-3204	136	41	range	range	NOUN
fis-3204	136	42	of	of	ADP
fis-3204	136	43	250	250	NUM
fis-3204	136	44	-	-	SYM
fis-3204	136	45	350	350	NUM
fis-3204	136	46	hz	hz	VERB
fis-3204	136	47	figure	figure	NOUN
fis-3204	136	48	13	13	NUM
fis-3204	136	49	:	:	PUNCT
fis-3204	136	50	harmonic	harmonic	ADJ
fis-3204	136	51	response	response	NOUN
fis-3204	136	52	for	for	ADP
fis-3204	136	53	the	the	DET
fis-3204	136	54	damaged	damage	VERB
fis-3204	136	55	beam	beam	NOUN
fis-3204	136	56	;	;	PUNCT
fis-3204	136	57	ψ	ψ	X
fis-3204	136	58	=	=	SYM
fis-3204	136	59	0.4	0.4	NUM
fis-3204	136	60	in	in	ADP
fis-3204	136	61	the	the	DET
fis-3204	136	62	range	range	NOUN
fis-3204	136	63	of	of	ADP
fis-3204	136	64	1070	1070	NUM
fis-3204	136	65	-	-	SYM
fis-3204	136	66	1170	1170	NUM
fis-3204	136	67	hz	hz	VERB
fis-3204	136	68	the	the	DET
fis-3204	136	69	variation	variation	NOUN
fis-3204	136	70	of	of	ADP
fis-3204	136	71	crack	crack	NOUN
fis-3204	136	72	damage	damage	NOUN
fis-3204	136	73	severity	severity	NOUN
fis-3204	136	74	versus	versus	ADP
fis-3204	136	75	crack	crack	VERB
fis-3204	136	76	location	location	NOUN
fis-3204	136	77	ratio	ratio	NOUN
fis-3204	136	78	and	and	CCONJ
fis-3204	136	79	crack	crack	NOUN
fis-3204	136	80	depth	depth	NOUN
fis-3204	136	81	ratio	ratio	NOUN
fis-3204	136	82	is	be	AUX
fis-3204	136	83	depicted	depict	VERB
fis-3204	136	84	in	in	ADP
fis-3204	136	85	figure	figure	NOUN
fis-3204	136	86	16	16	NUM
fis-3204	136	87	.	.	PUNCT
fis-3204	137	1	from	from	ADP
fis-3204	137	2	figure	figure	NOUN
fis-3204	137	3	16	16	NUM
fis-3204	137	4	,	,	PUNCT
fis-3204	137	5	it	it	PRON
fis-3204	137	6	is	be	AUX
fis-3204	137	7	found	find	VERB
fis-3204	137	8	that	that	SCONJ
fis-3204	137	9	when	when	SCONJ
fis-3204	137	10	the	the	DET
fis-3204	137	11	crack	crack	NOUN
fis-3204	137	12	location	location	NOUN
fis-3204	137	13	ratio	ratio	NOUN
fis-3204	137	14	is	be	AUX
fis-3204	137	15	increased	increase	VERB
fis-3204	137	16	from	from	ADP
fis-3204	137	17	the	the	DET
fis-3204	137	18	left	left	ADJ
fis-3204	137	19	hand	hand	NOUN
fis-3204	137	20	support	support	NOUN
fis-3204	137	21	of	of	ADP
fis-3204	137	22	the	the	DET
fis-3204	137	23	simply	simply	ADV
fis-3204	137	24	supported	support	VERB
fis-3204	137	25	beam	beam	NOUN
fis-3204	137	26	up	up	ADP
fis-3204	137	27	to	to	ADP
fis-3204	137	28	midpoint	midpoint	NOUN
fis-3204	137	29	of	of	ADP
fis-3204	137	30	the	the	DET
fis-3204	137	31	beam	beam	NOUN
fis-3204	137	32	and	and	CCONJ
fis-3204	137	33	crack	crack	VERB
fis-3204	137	34	depth	depth	NOUN
fis-3204	137	35	ratio	ratio	NOUN
fis-3204	137	36	is	be	AUX
fis-3204	137	37	increased	increase	VERB
fis-3204	137	38	,	,	PUNCT
fis-3204	137	39	then	then	ADV
fis-3204	137	40	crack	crack	VERB
fis-3204	137	41	damage	damage	NOUN
fis-3204	137	42	severity	severity	NOUN
fis-3204	137	43	of	of	ADP
fis-3204	137	44	the	the	DET
fis-3204	137	45	beam	beam	NOUN
fis-3204	137	46	increases	increase	NOUN
fis-3204	137	47	.	.	PUNCT
fis-3204	138	1	figure	figure	VERB
fis-3204	138	2	14	14	NUM
fis-3204	138	3	:	:	PUNCT
fis-3204	138	4	static	static	ADJ
fis-3204	138	5	deflection	deflection	NOUN
fis-3204	138	6	for	for	ADP
fis-3204	138	7	damaged	damage	VERB
fis-3204	138	8	beam	beam	NOUN
fis-3204	138	9	;	;	PUNCT
fis-3204	138	10	ψ	ψ	X
fis-3204	138	11	=	=	SYM
fis-3204	138	12	0.4	0.4	NUM
fis-3204	138	13	:	:	PUNCT
fis-3204	138	14	(	(	PUNCT
fis-3204	138	15	a	a	X
fis-3204	138	16	)	)	PUNCT
fis-3204	138	17	µ	µ	X
fis-3204	138	18	=	=	SYM
fis-3204	138	19	0.1	0.1	NUM
fis-3204	138	20	,	,	PUNCT
fis-3204	138	21	(	(	PUNCT
fis-3204	138	22	b	b	X
fis-3204	138	23	)	)	PUNCT
fis-3204	138	24	µ	µ	X
fis-3204	138	25	=	=	SYM
fis-3204	138	26	0.3	0.3	NUM
fis-3204	138	27	,	,	PUNCT
fis-3204	138	28	(	(	PUNCT
fis-3204	138	29	c	c	X
fis-3204	138	30	)	)	PUNCT
fis-3204	138	31	µ	µ	X
fis-3204	138	32	=	=	SYM
fis-3204	138	33	0.4	0.4	NUM
fis-3204	138	34	e.s.m.m	e.s.m.m	PROPN
fis-3204	138	35	.	.	PROPN
fis-3204	138	36	soliman	soliman	PROPN
fis-3204	138	37	,	,	PUNCT
fis-3204	138	38	frattura	frattura	PROPN
fis-3204	138	39	ed	ed	PROPN
fis-3204	138	40	integrità	integrità	PROPN
fis-3204	138	41	strutturale	strutturale	PROPN
fis-3204	138	42	,	,	PUNCT
fis-3204	138	43	58	58	NUM
fis-3204	138	44	(	(	PUNCT
fis-3204	138	45	2021	2021	NUM
fis-3204	138	46	)	)	PUNCT
fis-3204	138	47	151	151	NUM
fis-3204	138	48	-	-	SYM
fis-3204	138	49	165	165	NUM
fis-3204	138	50	;	;	PUNCT
fis-3204	138	51	doi	doi	NOUN
fis-3204	138	52	:	:	PUNCT
fis-3204	138	53	10.3221	10.3221	NUM
fis-3204	138	54	/	/	SYM
fis-3204	138	55	igf	igf	PROPN
fis-3204	138	56	-	-	ADJ
fis-3204	138	57	esis.58.11	esis.58.11	PROPN
fis-3204	138	58	162	162	NUM
fis-3204	138	59	figure	figure	NOUN
fis-3204	138	60	15	15	NUM
fis-3204	138	61	:	:	PUNCT
fis-3204	138	62	variation	variation	NOUN
fis-3204	138	63	of	of	ADP
fis-3204	138	64	static	static	ADJ
fis-3204	138	65	deflection	deflection	NOUN
fis-3204	138	66	vs.	vs.	ADP
fis-3204	138	67	µ	µ	NOUN
fis-3204	138	68	and	and	CCONJ
fis-3204	138	69	ψ	ψ	AUX
fis-3204	138	70	figure	figure	NOUN
fis-3204	138	71	16	16	NUM
fis-3204	138	72	:	:	PUNCT
fis-3204	138	73	variation	variation	NOUN
fis-3204	138	74	of	of	ADP
fis-3204	138	75	crack	crack	NOUN
fis-3204	138	76	damage	damage	NOUN
fis-3204	138	77	severity	severity	NOUN
fis-3204	138	78	vs.	vs.	X
fis-3204	138	79	µ	µ	NOUN
fis-3204	138	80	and	and	CCONJ
fis-3204	138	81	ψ	ψ	NOUN
fis-3204	138	82	.	.	NOUN
fis-3204	138	83	discussion	discussion	NOUN
fis-3204	138	84	of	of	ADP
fis-3204	138	85	results	result	NOUN
fis-3204	138	86	n	n	CCONJ
fis-3204	138	87	this	this	DET
fis-3204	138	88	section	section	NOUN
fis-3204	138	89	,	,	PUNCT
fis-3204	138	90	the	the	DET
fis-3204	138	91	correlation	correlation	NOUN
fis-3204	138	92	between	between	ADP
fis-3204	138	93	the	the	DET
fis-3204	138	94	outcomes	outcome	NOUN
fis-3204	138	95	of	of	ADP
fis-3204	138	96	the	the	DET
fis-3204	138	97	analysis	analysis	NOUN
fis-3204	138	98	,	,	PUNCT
fis-3204	138	99	i.e.	i.e.	X
fis-3204	138	100	,	,	PUNCT
fis-3204	138	101	results	result	NOUN
fis-3204	138	102	for	for	ADP
fis-3204	138	103	the	the	DET
fis-3204	138	104	damaged	damage	VERB
fis-3204	138	105	simply	simply	ADV
fis-3204	138	106	supported	support	VERB
fis-3204	138	107	beam	beam	NOUN
fis-3204	138	108	are	be	AUX
fis-3204	138	109	discussed	discuss	VERB
fis-3204	138	110	.	.	PUNCT
fis-3204	139	1	when	when	SCONJ
fis-3204	139	2	zero	zero	NUM
fis-3204	139	3	frequency	frequency	NOUN
fis-3204	139	4	deflection	deflection	NOUN
fis-3204	139	5	is	be	AUX
fis-3204	139	6	increased	increase	VERB
fis-3204	139	7	,	,	PUNCT
fis-3204	139	8	then	then	ADV
fis-3204	139	9	crack	crack	VERB
fis-3204	139	10	damage	damage	NOUN
fis-3204	139	11	severity	severity	NOUN
fis-3204	139	12	of	of	ADP
fis-3204	139	13	the	the	DET
fis-3204	139	14	damaged	damage	VERB
fis-3204	139	15	beam	beam	NOUN
fis-3204	139	16	increases	increase	NOUN
fis-3204	139	17	as	as	SCONJ
fis-3204	139	18	shown	show	VERB
fis-3204	139	19	in	in	ADP
fis-3204	139	20	figure	figure	NOUN
fis-3204	139	21	17	17	NUM
fis-3204	139	22	.	.	PUNCT
fis-3204	140	1	as	as	SCONJ
fis-3204	140	2	frequency	frequency	NOUN
fis-3204	140	3	of	of	ADP
fis-3204	140	4	first	first	ADJ
fis-3204	140	5	mode	mode	NOUN
fis-3204	140	6	of	of	ADP
fis-3204	140	7	bending	bend	VERB
fis-3204	140	8	vibration	vibration	NOUN
fis-3204	140	9	is	be	AUX
fis-3204	140	10	decreased	decrease	VERB
fis-3204	140	11	,	,	PUNCT
fis-3204	140	12	then	then	ADV
fis-3204	140	13	crack	crack	VERB
fis-3204	140	14	damage	damage	NOUN
fis-3204	140	15	severity	severity	NOUN
fis-3204	140	16	of	of	ADP
fis-3204	140	17	the	the	DET
fis-3204	140	18	damaged	damage	VERB
fis-3204	140	19	beam	beam	NOUN
fis-3204	140	20	increases	increase	NOUN
fis-3204	140	21	as	as	SCONJ
fis-3204	140	22	shown	show	VERB
fis-3204	140	23	in	in	ADP
fis-3204	140	24	figure	figure	NOUN
fis-3204	140	25	18	18	NUM
fis-3204	140	26	.	.	PUNCT
fis-3204	141	1	for	for	ADP
fis-3204	141	2	the	the	DET
fis-3204	141	3	first	first	ADJ
fis-3204	141	4	two	two	NUM
fis-3204	141	5	modes	mode	NOUN
fis-3204	141	6	of	of	ADP
fis-3204	141	7	bending	bend	VERB
fis-3204	141	8	vibration	vibration	NOUN
fis-3204	141	9	,	,	PUNCT
fis-3204	141	10	when	when	SCONJ
fis-3204	141	11	normalized	normalize	VERB
fis-3204	141	12	mode	mode	NOUN
fis-3204	141	13	shape	shape	NOUN
fis-3204	141	14	at	at	ADP
fis-3204	141	15	location	location	NOUN
fis-3204	141	16	of	of	ADP
fis-3204	141	17	crack	crack	NOUN
fis-3204	141	18	is	be	AUX
fis-3204	141	19	increased	increase	VERB
fis-3204	141	20	,	,	PUNCT
fis-3204	141	21	then	then	ADV
fis-3204	141	22	shift	shift	VERB
fis-3204	141	23	between	between	ADP
fis-3204	141	24	frequencies	frequency	NOUN
fis-3204	141	25	of	of	ADP
fis-3204	141	26	damaged	damage	VERB
fis-3204	141	27	and	and	CCONJ
fis-3204	141	28	undamaged	undamaged	ADJ
fis-3204	141	29	i	i	PROPN
fis-3204	141	30	e.s.m.m	e.s.m.m	PROPN
fis-3204	141	31	.	.	PROPN
fis-3204	141	32	soliman	soliman	PROPN
fis-3204	141	33	,	,	PUNCT
fis-3204	141	34	frattura	frattura	PROPN
fis-3204	141	35	ed	ed	PROPN
fis-3204	141	36	integrità	integrità	PROPN
fis-3204	141	37	strutturale	strutturale	PROPN
fis-3204	141	38	,	,	PUNCT
fis-3204	141	39	58	58	NUM
fis-3204	141	40	(	(	PUNCT
fis-3204	141	41	2021	2021	NUM
fis-3204	141	42	)	)	PUNCT
fis-3204	141	43	151	151	NUM
fis-3204	141	44	-	-	SYM
fis-3204	141	45	165	165	NUM
fis-3204	141	46	;	;	PUNCT
fis-3204	141	47	doi	doi	NOUN
fis-3204	141	48	:	:	PUNCT
fis-3204	141	49	10.3221	10.3221	NUM
fis-3204	141	50	/	/	SYM
fis-3204	141	51	igf	igf	PROPN
fis-3204	141	52	-	-	PROPN
fis-3204	141	53	esis.58.11	esis.58.11	ADJ
fis-3204	141	54	163	163	NUM
fis-3204	141	55	beams	beam	NOUN
fis-3204	141	56	increases	increase	NOUN
fis-3204	141	57	as	as	SCONJ
fis-3204	141	58	depicted	depict	VERB
fis-3204	141	59	in	in	ADP
fis-3204	141	60	figures	figure	NOUN
fis-3204	141	61	19	19	NUM
fis-3204	141	62	and	and	CCONJ
fis-3204	141	63	20	20	NUM
fis-3204	141	64	,	,	PUNCT
fis-3204	141	65	i.e.	i.e.	X
fis-3204	141	66	,	,	PUNCT
fis-3204	141	67	∂f1	∂f1	PROPN
fis-3204	141	68	is	be	AUX
fis-3204	141	69	proportional	proportional	ADJ
fis-3204	141	70	to	to	ADP
fis-3204	141	71	uy1	uy1	NOUN
fis-3204	141	72	and	and	CCONJ
fis-3204	141	73	∂f2	∂f2	NOUN
fis-3204	141	74	is	be	AUX
fis-3204	141	75	proportional	proportional	ADJ
fis-3204	141	76	to	to	ADP
fis-3204	141	77	uy2	uy2	PROPN
fis-3204	141	78	.	.	PROPN
fis-3204	142	1	on	on	ADP
fis-3204	142	2	the	the	DET
fis-3204	142	3	other	other	ADJ
fis-3204	142	4	hand	hand	NOUN
fis-3204	142	5	,	,	PUNCT
fis-3204	142	6	it	it	PRON
fis-3204	142	7	is	be	AUX
fis-3204	142	8	found	find	VERB
fis-3204	142	9	that	that	SCONJ
fis-3204	142	10	the	the	DET
fis-3204	142	11	normalized	normalize	VERB
fis-3204	142	12	mode	mode	NOUN
fis-3204	142	13	shape	shape	NOUN
fis-3204	142	14	at	at	ADP
fis-3204	142	15	location	location	NOUN
fis-3204	142	16	of	of	ADP
fis-3204	142	17	crack	crack	NOUN
fis-3204	142	18	depends	depend	VERB
fis-3204	142	19	on	on	ADP
fis-3204	142	20	the	the	DET
fis-3204	142	21	pattern	pattern	NOUN
fis-3204	142	22	of	of	ADP
fis-3204	142	23	mode	mode	NOUN
fis-3204	142	24	shape	shape	NOUN
fis-3204	142	25	.	.	PUNCT
fis-3204	143	1	figure	figure	NOUN
fis-3204	143	2	17	17	NUM
fis-3204	143	3	:	:	PUNCT
fis-3204	143	4	variation	variation	NOUN
fis-3204	143	5	of	of	ADP
fis-3204	143	6	crack	crack	NOUN
fis-3204	143	7	damage	damage	NOUN
fis-3204	143	8	severity	severity	NOUN
fis-3204	143	9	vs.	vs.	ADP
fis-3204	143	10	static	static	ADJ
fis-3204	143	11	deflection	deflection	NOUN
fis-3204	143	12	figure	figure	NOUN
fis-3204	143	13	18	18	NUM
fis-3204	143	14	:	:	PUNCT
fis-3204	143	15	variation	variation	NOUN
fis-3204	143	16	of	of	ADP
fis-3204	143	17	crack	crack	NOUN
fis-3204	143	18	damage	damage	NOUN
fis-3204	143	19	severity	severity	NOUN
fis-3204	143	20	vs.	vs.	ADP
fis-3204	143	21	first	first	ADJ
fis-3204	143	22	mode	mode	NOUN
fis-3204	143	23	frequency	frequency	NOUN
fis-3204	143	24	figure	figure	NOUN
fis-3204	143	25	19	19	NUM
fis-3204	143	26	:	:	PUNCT
fis-3204	143	27	plot	plot	NOUN
fis-3204	143	28	of	of	ADP
fis-3204	143	29	uy1	uy1	NOUN
fis-3204	143	30	vs.	vs.	X
fis-3204	143	31	∂f1	∂f1	PROPN
fis-3204	143	32	e.s.m.m	e.s.m.m	PROPN
fis-3204	143	33	.	.	PROPN
fis-3204	143	34	soliman	soliman	PROPN
fis-3204	143	35	,	,	PUNCT
fis-3204	143	36	frattura	frattura	PROPN
fis-3204	143	37	ed	ed	PROPN
fis-3204	143	38	integrità	integrità	PROPN
fis-3204	143	39	strutturale	strutturale	PROPN
fis-3204	143	40	,	,	PUNCT
fis-3204	143	41	58	58	NUM
fis-3204	143	42	(	(	PUNCT
fis-3204	143	43	2021	2021	NUM
fis-3204	143	44	)	)	PUNCT
fis-3204	143	45	151	151	NUM
fis-3204	143	46	-	-	SYM
fis-3204	143	47	165	165	NUM
fis-3204	143	48	;	;	PUNCT
fis-3204	143	49	doi	doi	NOUN
fis-3204	143	50	:	:	PUNCT
fis-3204	143	51	10.3221	10.3221	NUM
fis-3204	143	52	/	/	SYM
fis-3204	143	53	igf	igf	PROPN
fis-3204	143	54	-	-	PUNCT
fis-3204	143	55	esis.58.11	esis.58.11	PROPN
fis-3204	143	56	164	164	NUM
fis-3204	143	57	figure	figure	NOUN
fis-3204	143	58	20	20	NUM
fis-3204	143	59	:	:	PUNCT
fis-3204	143	60	plot	plot	NOUN
fis-3204	143	61	of	of	ADP
fis-3204	143	62	uy2	uy2	PROPN
fis-3204	143	63	vs.	vs.	ADP
fis-3204	143	64	∂f2	∂f2	NOUN
fis-3204	143	65	conclusion	conclusion	NOUN
fis-3204	143	66	n	n	ADP
fis-3204	143	67	this	this	DET
fis-3204	143	68	study	study	NOUN
fis-3204	143	69	,	,	PUNCT
fis-3204	143	70	the	the	DET
fis-3204	143	71	finite	finite	ADJ
fis-3204	143	72	element	element	NOUN
fis-3204	143	73	analysis	analysis	NOUN
fis-3204	143	74	(	(	PUNCT
fis-3204	143	75	fea	fea	NOUN
fis-3204	143	76	)	)	PUNCT
fis-3204	143	77	is	be	AUX
fis-3204	143	78	applied	apply	VERB
fis-3204	143	79	for	for	ADP
fis-3204	143	80	un	un	ADJ
fis-3204	143	81	-	-	ADJ
fis-3204	143	82	cracked	cracked	ADJ
fis-3204	143	83	and	and	CCONJ
fis-3204	143	84	cracked	crack	VERB
fis-3204	143	85	simply	simply	ADV
fis-3204	143	86	supported	support	VERB
fis-3204	143	87	beams	beam	NOUN
fis-3204	143	88	to	to	PART
fis-3204	143	89	investigate	investigate	VERB
fis-3204	143	90	crack	crack	NOUN
fis-3204	143	91	damage	damage	NOUN
fis-3204	143	92	severity	severity	NOUN
fis-3204	143	93	and	and	CCONJ
fis-3204	143	94	its	its	PRON
fis-3204	143	95	correlation	correlation	NOUN
fis-3204	143	96	to	to	ADP
fis-3204	143	97	static	static	ADJ
fis-3204	143	98	and	and	CCONJ
fis-3204	143	99	dynamic	dynamic	ADJ
fis-3204	143	100	parameters	parameter	NOUN
fis-3204	143	101	.	.	PUNCT
fis-3204	144	1	for	for	ADP
fis-3204	144	2	first	first	ADJ
fis-3204	144	3	two	two	NUM
fis-3204	144	4	mode	mode	NOUN
fis-3204	144	5	shape	shape	NOUN
fis-3204	144	6	of	of	ADP
fis-3204	144	7	bending	bend	VERB
fis-3204	144	8	vibration	vibration	NOUN
fis-3204	144	9	for	for	ADP
fis-3204	144	10	undamaged	undamaged	ADJ
fis-3204	144	11	and	and	CCONJ
fis-3204	144	12	damaged	damaged	ADJ
fis-3204	144	13	beams	beam	NOUN
fis-3204	144	14	,	,	PUNCT
fis-3204	144	15	frequencies	frequency	NOUN
fis-3204	144	16	are	be	AUX
fis-3204	144	17	calculated	calculate	VERB
fis-3204	144	18	and	and	CCONJ
fis-3204	144	19	also	also	ADV
fis-3204	144	20	mode	mode	NOUN
fis-3204	144	21	shape	shape	NOUN
fis-3204	144	22	pattern	pattern	NOUN
fis-3204	144	23	is	be	AUX
fis-3204	144	24	obtained	obtain	VERB
fis-3204	144	25	.	.	PUNCT
fis-3204	145	1	furthermore	furthermore	ADV
fis-3204	145	2	,	,	PUNCT
fis-3204	145	3	frequency	frequency	NOUN
fis-3204	145	4	response	response	NOUN
fis-3204	145	5	diagram	diagram	NOUN
fis-3204	145	6	is	be	AUX
fis-3204	145	7	obtained	obtain	VERB
fis-3204	145	8	to	to	PART
fis-3204	145	9	determine	determine	VERB
fis-3204	145	10	the	the	DET
fis-3204	145	11	shift	shift	NOUN
fis-3204	145	12	in	in	ADP
fis-3204	145	13	frequencies	frequency	NOUN
fis-3204	145	14	between	between	ADP
fis-3204	145	15	undamaged	undamaged	ADJ
fis-3204	145	16	and	and	CCONJ
fis-3204	145	17	damaged	damaged	ADJ
fis-3204	145	18	beams	beam	NOUN
fis-3204	145	19	.	.	PUNCT
fis-3204	146	1	it	it	PRON
fis-3204	146	2	is	be	AUX
fis-3204	146	3	observed	observe	VERB
fis-3204	146	4	that	that	SCONJ
fis-3204	146	5	the	the	DET
fis-3204	146	6	pattern	pattern	NOUN
fis-3204	146	7	of	of	ADP
fis-3204	146	8	mode	mode	NOUN
fis-3204	146	9	shape	shape	NOUN
fis-3204	146	10	seems	seem	VERB
fis-3204	146	11	to	to	PART
fis-3204	146	12	be	be	AUX
fis-3204	146	13	an	an	DET
fis-3204	146	14	effective	effective	ADJ
fis-3204	146	15	in	in	ADP
fis-3204	146	16	the	the	DET
fis-3204	146	17	determining	determine	VERB
fis-3204	146	18	the	the	DET
fis-3204	146	19	value	value	NOUN
fis-3204	146	20	of	of	ADP
fis-3204	146	21	normalized	normalize	VERB
fis-3204	146	22	mode	mode	NOUN
fis-3204	146	23	shape	shape	NOUN
fis-3204	146	24	at	at	ADP
fis-3204	146	25	location	location	NOUN
fis-3204	146	26	of	of	ADP
fis-3204	146	27	crack	crack	NOUN
fis-3204	146	28	.	.	PUNCT
fis-3204	147	1	any	any	DET
fis-3204	147	2	decrease	decrease	NOUN
fis-3204	147	3	in	in	ADP
fis-3204	147	4	the	the	DET
fis-3204	147	5	frequency	frequency	NOUN
fis-3204	147	6	is	be	AUX
fis-3204	147	7	largest	large	ADJ
fis-3204	147	8	,	,	PUNCT
fis-3204	147	9	i.e.	i.e.	X
fis-3204	147	10	maximum	maximum	ADJ
fis-3204	147	11	shift	shift	NOUN
fis-3204	147	12	between	between	ADP
fis-3204	147	13	undamaged	undamaged	ADJ
fis-3204	147	14	and	and	CCONJ
fis-3204	147	15	damaged	damaged	ADJ
fis-3204	147	16	beams	beam	NOUN
fis-3204	147	17	in	in	ADP
fis-3204	147	18	frequency	frequency	ADJ
fis-3204	147	19	response	response	NOUN
fis-3204	147	20	diagram	diagram	NOUN
fis-3204	147	21	is	be	AUX
fis-3204	147	22	due	due	ADJ
fis-3204	147	23	to	to	ADP
fis-3204	147	24	largest	large	ADJ
fis-3204	147	25	value	value	NOUN
fis-3204	147	26	of	of	ADP
fis-3204	147	27	normalized	normalize	VERB
fis-3204	147	28	mode	mode	NOUN
fis-3204	147	29	shape	shape	NOUN
fis-3204	147	30	at	at	ADP
fis-3204	147	31	location	location	NOUN
fis-3204	147	32	of	of	ADP
fis-3204	147	33	crack	crack	NOUN
fis-3204	147	34	.	.	PUNCT
fis-3204	148	1	based	base	VERB
fis-3204	148	2	on	on	ADP
fis-3204	148	3	fea	fea	PROPN
fis-3204	148	4	static	static	ADJ
fis-3204	148	5	deflection	deflection	NOUN
fis-3204	148	6	,	,	PUNCT
fis-3204	148	7	stiffness	stiffness	NOUN
fis-3204	148	8	of	of	ADP
fis-3204	148	9	damaged	damage	VERB
fis-3204	148	10	beam	beam	NOUN
fis-3204	148	11	was	be	AUX
fis-3204	148	12	computed	compute	VERB
fis-3204	148	13	and	and	CCONJ
fis-3204	148	14	crack	crack	VERB
fis-3204	148	15	damage	damage	NOUN
fis-3204	148	16	severity	severity	NOUN
fis-3204	148	17	is	be	AUX
fis-3204	148	18	estimated	estimate	VERB
fis-3204	148	19	.	.	PUNCT
fis-3204	149	1	from	from	ADP
fis-3204	149	2	the	the	DET
fis-3204	149	3	results	result	NOUN
fis-3204	149	4	,	,	PUNCT
fis-3204	149	5	it	it	PRON
fis-3204	149	6	is	be	AUX
fis-3204	149	7	found	find	VERB
fis-3204	149	8	that	that	SCONJ
fis-3204	149	9	when	when	SCONJ
fis-3204	149	10	static	static	ADJ
fis-3204	149	11	deflection	deflection	NOUN
fis-3204	149	12	is	be	AUX
fis-3204	149	13	increased	increase	VERB
fis-3204	149	14	and	and	CCONJ
fis-3204	149	15	first	first	ADJ
fis-3204	149	16	mode	mode	NOUN
fis-3204	149	17	frequency	frequency	NOUN
fis-3204	149	18	is	be	AUX
fis-3204	149	19	decreased	decrease	VERB
fis-3204	149	20	,	,	PUNCT
fis-3204	149	21	then	then	ADV
fis-3204	149	22	crack	crack	VERB
fis-3204	149	23	damage	damage	NOUN
fis-3204	149	24	severity	severity	NOUN
fis-3204	149	25	(	(	PUNCT
fis-3204	149	26	%	%	INTJ
fis-3204	149	27	)	)	PUNCT
fis-3204	149	28	increases	increase	NOUN
fis-3204	149	29	.	.	PUNCT
fis-3204	150	1	furthermore	furthermore	ADV
fis-3204	150	2	,	,	PUNCT
fis-3204	150	3	in	in	ADP
fis-3204	150	4	this	this	DET
fis-3204	150	5	study	study	NOUN
fis-3204	150	6	,	,	PUNCT
fis-3204	150	7	pattern	pattern	NOUN
fis-3204	150	8	of	of	ADP
fis-3204	150	9	mode	mode	NOUN
fis-3204	150	10	shape	shape	NOUN
fis-3204	150	11	played	play	VERB
fis-3204	150	12	a	a	DET
fis-3204	150	13	vital	vital	ADJ
fis-3204	150	14	role	role	NOUN
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fis-3204	163	12	a	a	DET
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fis-3204	168	20	.	.	PUNCT
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fis-3204	172	12	.	.	PUNCT
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fis-3204	173	3	]	]	PUNCT
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fis-3204	177	2	.	.	PUNCT
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fis-3204	178	2	)	)	PUNCT
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fis-3204	179	2	.	.	PUNCT
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fis-3204	180	2	:	:	PUNCT
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fis-3204	185	2	,	,	PUNCT
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fis-3204	208	4	]	]	PUNCT
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fis-3204	237	9	cracked	crack	VERB
fis-3204	237	10	simply	simply	ADV
fis-3204	237	11	supported	support	VERB
fis-3204	237	12	beam	beam	NOUN
fis-3204	237	13	and	and	CCONJ
fis-3204	237	14	its	its	PRON
fis-3204	237	15	application	application	NOUN
fis-3204	237	16	to	to	ADP
fis-3204	237	17	single	single	ADV
fis-3204	237	18	-	-	PUNCT
fis-3204	237	19	edged	edge	VERB
fis-3204	237	20	and	and	CCONJ
fis-3204	237	21	multi	multi	ADJ
fis-3204	237	22	-	-	ADJ
fis-3204	237	23	edged	edge	VERB
fis-3204	237	24	cracked	crack	VERB
fis-3204	237	25	beam	beam	NOUN
fis-3204	237	26	.	.	PUNCT
fis-3204	238	1	vib	vib	PROPN
fis-3204	238	2	.	.	PUNCT
fis-3204	239	1	phys	phys	PROPN
fis-3204	239	2	.	.	PUNCT
fis-3204	240	1	syst	syst	PROPN
fis-3204	240	2	.	.	PROPN
fis-3204	240	3	29	29	NUM
fis-3204	240	4	,	,	PUNCT
fis-3204	240	5	2018028	2018028	NUM
fis-3204	240	6	[	[	X
fis-3204	240	7	18	18	NUM
fis-3204	240	8	]	]	X
fis-3204	240	9	khalkar	khalkar	NOUN
fis-3204	240	10	,	,	PUNCT
fis-3204	240	11	v.	v.	PROPN
fis-3204	240	12	,	,	PUNCT
fis-3204	240	13	ramachandran	ramachandran	PROPN
fis-3204	240	14	,	,	PUNCT
fis-3204	240	15	s.	s.	PROPN
fis-3204	240	16	(	(	PUNCT
fis-3204	240	17	2018	2018	NUM
fis-3204	240	18	)	)	PUNCT
fis-3204	240	19	.	.	PUNCT
fis-3204	241	1	the	the	DET
fis-3204	241	2	effect	effect	NOUN
fis-3204	241	3	of	of	ADP
fis-3204	241	4	crack	crack	NOUN
fis-3204	241	5	geometry	geometry	NOUN
fis-3204	241	6	on	on	ADP
fis-3204	241	7	stiffness	stiffness	NOUN
fis-3204	241	8	of	of	ADP
fis-3204	241	9	spring	spring	NOUN
fis-3204	241	10	steel	steel	NOUN
fis-3204	241	11	cantilever	cantilever	NOUN
fis-3204	241	12	beam	beam	NOUN
fis-3204	241	13	.	.	PUNCT
fis-3204	242	1	j.	j.	PROPN
fis-3204	242	2	low	low	PROPN
fis-3204	242	3	freq	freq	PROPN
fis-3204	242	4	.	.	PUNCT
fis-3204	243	1	noise	noise	PROPN
fis-3204	243	2	vib	vib	PROPN
fis-3204	243	3	.	.	PROPN
fis-3204	243	4	act	act	PROPN
fis-3204	243	5	.	.	PUNCT
fis-3204	244	1	control	control	NOUN
fis-3204	244	2	0	0	NUM
fis-3204	244	3	,	,	PUNCT
fis-3204	244	4	pp	pp	ADJ
fis-3204	244	5	.	.	PUNCT
fis-3204	245	1	1–13	1–13	NOUN
fis-3204	245	2	,	,	PUNCT
fis-3204	245	3	doi	doi	NOUN
fis-3204	245	4	:	:	PUNCT
fis-3204	245	5	10.1177/1461348418765959	10.1177/1461348418765959	NUM
fis-3204	245	6	.	.	PUNCT