id	sid	tid	token	lemma	pos
fumecheng-519	1	1	plane	plane	NOUN
fumecheng-519	1	2	thermoelastic	thermoelastic	ADJ
fumecheng-519	1	3	waves	wave	NOUN
fumecheng-519	1	4	in	in	ADP
fumecheng-519	1	5	infinite	infinite	ADJ
fumecheng-519	1	6	half	half	ADJ
fumecheng-519	1	7	-	-	PUNCT
fumecheng-519	1	8	space	space	NOUN
fumecheng-519	1	9	caused	cause	VERB
fumecheng-519	1	10	facta	facta	PROPN
fumecheng-519	1	11	universitatis	universitatis	PROPN
fumecheng-519	1	12	series	series	NOUN
fumecheng-519	1	13	:	:	PUNCT
fumecheng-519	1	14	mechanical	mechanical	ADJ
fumecheng-519	1	15	engineering	engineering	NOUN
fumecheng-519	1	16	vol	vol	NOUN
fumecheng-519	1	17	.	.	PROPN
fumecheng-519	2	1	12	12	NUM
fumecheng-519	2	2	,	,	PUNCT
fumecheng-519	2	3	no	no	DET
fumecheng-519	2	4	3	3	NUM
fumecheng-519	2	5	,	,	PUNCT
fumecheng-519	2	6	2014	2014	NUM
fumecheng-519	2	7	,	,	PUNCT
fumecheng-519	2	8	pp	pp	ADJ
fumecheng-519	2	9	.	.	PUNCT
fumecheng-519	3	1	261	261	NUM
fumecheng-519	3	2	276	276	NUM
fumecheng-519	3	3	1the	1the	NUM
fumecheng-519	3	4	critical	critical	ADJ
fumecheng-519	3	5	load	load	NOUN
fumecheng-519	3	6	parameter	parameter	NOUN
fumecheng-519	3	7	of	of	ADP
fumecheng-519	3	8	a	a	DET
fumecheng-519	3	9	timoshenko	timoshenko	ADJ
fumecheng-519	3	10	beam	beam	NOUN
fumecheng-519	3	11	with	with	ADP
fumecheng-519	3	12	one	one	NUM
fumecheng-519	3	13	-	-	PUNCT
fumecheng-519	3	14	step	step	NOUN
fumecheng-519	3	15	change	change	NOUN
fumecheng-519	3	16	in	in	ADP
fumecheng-519	3	17	cross	cross	NOUN
fumecheng-519	3	18	section	section	NOUN
fumecheng-519	3	19	udc	udc	NOUN
fumecheng-519	3	20	534.1	534.1	NUM
fumecheng-519	3	21	goran	goran	NOUN
fumecheng-519	3	22	janevski	janevski	PROPN
fumecheng-519	3	23	1	1	NUM
fumecheng-519	3	24	,	,	PUNCT
fumecheng-519	3	25	marija	marija	PROPN
fumecheng-519	3	26	stamenković	stamenković	PROPN
fumecheng-519	3	27	2	2	NUM
fumecheng-519	3	28	,	,	PUNCT
fumecheng-519	3	29	mariana	mariana	PROPN
fumecheng-519	3	30	seabra	seabra	VERB
fumecheng-519	3	31	3	3	NUM
fumecheng-519	3	32	1	1	NUM
fumecheng-519	3	33	university	university	NOUN
fumecheng-519	3	34	of	of	ADP
fumecheng-519	3	35	niš	niš	PROPN
fumecheng-519	3	36	,	,	PUNCT
fumecheng-519	3	37	department	department	NOUN
fumecheng-519	3	38	of	of	ADP
fumecheng-519	3	39	mechanical	mechanical	ADJ
fumecheng-519	3	40	engineering	engineering	NOUN
fumecheng-519	3	41	,	,	PUNCT
fumecheng-519	3	42	serbia	serbia	PROPN
fumecheng-519	3	43	2	2	NUM
fumecheng-519	3	44	mathematical	mathematical	PROPN
fumecheng-519	3	45	institute	institute	NOUN
fumecheng-519	3	46	of	of	ADP
fumecheng-519	3	47	the	the	DET
fumecheng-519	3	48	sasa	sasa	PROPN
fumecheng-519	3	49	,	,	PUNCT
fumecheng-519	3	50	belgrade	belgrade	PROPN
fumecheng-519	3	51	,	,	PUNCT
fumecheng-519	3	52	serbia	serbia	PROPN
fumecheng-519	3	53	3	3	NUM
fumecheng-519	3	54	university	university	PROPN
fumecheng-519	3	55	of	of	ADP
fumecheng-519	3	56	porto	porto	PROPN
fumecheng-519	3	57	,	,	PUNCT
fumecheng-519	3	58	faculty	faculty	NOUN
fumecheng-519	3	59	of	of	ADP
fumecheng-519	3	60	engineering	engineering	NOUN
fumecheng-519	3	61	–	–	PUNCT
fumecheng-519	3	62	feup	feup	ADJ
fumecheng-519	3	63	,	,	PUNCT
fumecheng-519	3	64	portugal	portugal	PROPN
fumecheng-519	3	65	abstract	abstract	NOUN
fumecheng-519	3	66	.	.	PUNCT
fumecheng-519	4	1	the	the	DET
fumecheng-519	4	2	paper	paper	NOUN
fumecheng-519	4	3	analyzes	analyze	VERB
fumecheng-519	4	4	the	the	DET
fumecheng-519	4	5	transverse	transverse	ADJ
fumecheng-519	4	6	vibration	vibration	NOUN
fumecheng-519	4	7	of	of	ADP
fumecheng-519	4	8	a	a	DET
fumecheng-519	4	9	timoshenko	timoshenko	ADJ
fumecheng-519	4	10	beam	beam	NOUN
fumecheng-519	4	11	with	with	ADP
fumecheng-519	4	12	onestep	onestep	NOUN
fumecheng-519	4	13	change	change	NOUN
fumecheng-519	4	14	in	in	ADP
fumecheng-519	4	15	cross	cross	NOUN
fumecheng-519	4	16	-	-	NOUN
fumecheng-519	4	17	section	section	NOUN
fumecheng-519	4	18	when	when	SCONJ
fumecheng-519	4	19	subjected	subject	VERB
fumecheng-519	4	20	to	to	ADP
fumecheng-519	4	21	an	an	DET
fumecheng-519	4	22	axial	axial	ADJ
fumecheng-519	4	23	force	force	NOUN
fumecheng-519	4	24	.	.	PUNCT
fumecheng-519	5	1	the	the	DET
fumecheng-519	5	2	axial	axial	ADJ
fumecheng-519	5	3	force	force	NOUN
fumecheng-519	5	4	is	be	AUX
fumecheng-519	5	5	equal	equal	ADJ
fumecheng-519	5	6	in	in	ADP
fumecheng-519	5	7	both	both	PRON
fumecheng-519	5	8	of	of	ADP
fumecheng-519	5	9	the	the	DET
fumecheng-519	5	10	beam	beam	NOUN
fumecheng-519	5	11	portions	portion	NOUN
fumecheng-519	5	12	.	.	PUNCT
fumecheng-519	6	1	three	three	NUM
fumecheng-519	6	2	types	type	NOUN
fumecheng-519	6	3	of	of	ADP
fumecheng-519	6	4	beam	beam	NOUN
fumecheng-519	6	5	which	which	PRON
fumecheng-519	6	6	occur	occur	VERB
fumecheng-519	6	7	commonly	commonly	ADV
fumecheng-519	6	8	in	in	ADP
fumecheng-519	6	9	engineering	engineering	NOUN
fumecheng-519	6	10	application	application	NOUN
fumecheng-519	6	11	are	be	AUX
fumecheng-519	6	12	considered	consider	VERB
fumecheng-519	6	13	.	.	PUNCT
fumecheng-519	7	1	the	the	DET
fumecheng-519	7	2	frequency	frequency	NOUN
fumecheng-519	7	3	equation	equation	NOUN
fumecheng-519	7	4	of	of	ADP
fumecheng-519	7	5	the	the	DET
fumecheng-519	7	6	timoshenko	timoshenko	ADJ
fumecheng-519	7	7	beam	beam	NOUN
fumecheng-519	7	8	with	with	ADP
fumecheng-519	7	9	onestep	onestep	NOUN
fumecheng-519	7	10	change	change	NOUN
fumecheng-519	7	11	in	in	ADP
fumecheng-519	7	12	cross	cross	NOUN
fumecheng-519	7	13	-	-	NOUN
fumecheng-519	7	14	section	section	NOUN
fumecheng-519	7	15	is	be	AUX
fumecheng-519	7	16	expressed	express	VERB
fumecheng-519	7	17	as	as	ADP
fumecheng-519	7	18	the	the	DET
fumecheng-519	7	19	fourth	fourth	ADJ
fumecheng-519	7	20	order	order	NOUN
fumecheng-519	7	21	determinant	determinant	ADJ
fumecheng-519	7	22	equated	equate	VERB
fumecheng-519	7	23	to	to	ADP
fumecheng-519	7	24	zero	zero	NUM
fumecheng-519	7	25	.	.	PUNCT
fumecheng-519	8	1	the	the	DET
fumecheng-519	8	2	critical	critical	ADJ
fumecheng-519	8	3	compressive	compressive	ADJ
fumecheng-519	8	4	axial	axial	ADJ
fumecheng-519	8	5	force	force	NOUN
fumecheng-519	8	6	is	be	AUX
fumecheng-519	8	7	expressed	express	VERB
fumecheng-519	8	8	as	as	ADP
fumecheng-519	8	9	a	a	DET
fumecheng-519	8	10	function	function	NOUN
fumecheng-519	8	11	of	of	ADP
fumecheng-519	8	12	the	the	DET
fumecheng-519	8	13	critical	critical	ADJ
fumecheng-519	8	14	load	load	NOUN
fumecheng-519	8	15	parameter	parameter	NOUN
fumecheng-519	8	16	which	which	PRON
fumecheng-519	8	17	is	be	AUX
fumecheng-519	8	18	tabulated	tabulate	VERB
fumecheng-519	8	19	for	for	ADP
fumecheng-519	8	20	four	four	NUM
fumecheng-519	8	21	classical	classical	ADJ
fumecheng-519	8	22	boundary	boundary	ADJ
fumecheng-519	8	23	conditions	condition	NOUN
fumecheng-519	8	24	.	.	PUNCT
fumecheng-519	9	1	apart	apart	ADV
fumecheng-519	9	2	from	from	ADP
fumecheng-519	9	3	the	the	DET
fumecheng-519	9	4	results	result	NOUN
fumecheng-519	9	5	presented	present	VERB
fumecheng-519	9	6	in	in	ADP
fumecheng-519	9	7	tables	table	NOUN
fumecheng-519	9	8	,	,	PUNCT
fumecheng-519	9	9	the	the	DET
fumecheng-519	9	10	paper	paper	NOUN
fumecheng-519	9	11	also	also	ADV
fumecheng-519	9	12	provides	provide	VERB
fumecheng-519	9	13	calculated	calculated	ADJ
fumecheng-519	9	14	values	value	NOUN
fumecheng-519	9	15	of	of	ADP
fumecheng-519	9	16	the	the	DET
fumecheng-519	9	17	critical	critical	ADJ
fumecheng-519	9	18	load	load	NOUN
fumecheng-519	9	19	parameter	parameter	NOUN
fumecheng-519	9	20	for	for	ADP
fumecheng-519	9	21	other	other	ADJ
fumecheng-519	9	22	values	value	NOUN
fumecheng-519	9	23	of	of	ADP
fumecheng-519	9	24	system	system	NOUN
fumecheng-519	9	25	parameters	parameter	NOUN
fumecheng-519	9	26	along	along	ADP
fumecheng-519	9	27	with	with	ADP
fumecheng-519	9	28	the	the	DET
fumecheng-519	9	29	graphic	graphic	ADJ
fumecheng-519	9	30	representation	representation	NOUN
fumecheng-519	9	31	of	of	ADP
fumecheng-519	9	32	their	their	PRON
fumecheng-519	9	33	dependence	dependence	NOUN
fumecheng-519	9	34	on	on	ADP
fumecheng-519	9	35	the	the	DET
fumecheng-519	9	36	step	step	NOUN
fumecheng-519	9	37	position	position	NOUN
fumecheng-519	9	38	parameter	parameter	NOUN
fumecheng-519	9	39	.	.	PUNCT
fumecheng-519	10	1	key	key	ADJ
fumecheng-519	10	2	words	word	NOUN
fumecheng-519	10	3	:	:	PUNCT
fumecheng-519	10	4	timoshenko	timoshenko	NOUN
fumecheng-519	10	5	beam	beam	NOUN
fumecheng-519	10	6	,	,	PUNCT
fumecheng-519	10	7	frequency	frequency	NOUN
fumecheng-519	10	8	equation	equation	NOUN
fumecheng-519	10	9	,	,	PUNCT
fumecheng-519	10	10	critical	critical	ADJ
fumecheng-519	10	11	axial	axial	ADJ
fumecheng-519	10	12	load	load	NOUN
fumecheng-519	10	13	,	,	PUNCT
fumecheng-519	10	14	critical	critical	ADJ
fumecheng-519	10	15	load	load	NOUN
fumecheng-519	10	16	parameter	parameter	NOUN
fumecheng-519	10	17	,	,	PUNCT
fumecheng-519	10	18	one	one	NUM
fumecheng-519	10	19	-	-	PUNCT
fumecheng-519	10	20	step	step	NOUN
fumecheng-519	10	21	beam	beam	NOUN
fumecheng-519	10	22	1	1	NUM
fumecheng-519	10	23	.	.	PUNCT
fumecheng-519	11	1	introduction	introduction	NOUN
fumecheng-519	11	2	mechanical	mechanical	ADJ
fumecheng-519	11	3	and	and	CCONJ
fumecheng-519	11	4	other	other	ADJ
fumecheng-519	11	5	engineering	engineering	NOUN
fumecheng-519	11	6	structures	structure	NOUN
fumecheng-519	11	7	often	often	ADV
fumecheng-519	11	8	contain	contain	VERB
fumecheng-519	11	9	beams	beam	NOUN
fumecheng-519	11	10	with	with	ADP
fumecheng-519	11	11	step	step	NOUN
fumecheng-519	11	12	changes	change	NOUN
fumecheng-519	11	13	in	in	ADP
fumecheng-519	11	14	cross	cross	NOUN
fumecheng-519	11	15	-	-	NOUN
fumecheng-519	11	16	section	section	NOUN
fumecheng-519	11	17	.	.	PUNCT
fumecheng-519	12	1	stepped	step	VERB
fumecheng-519	12	2	beams	beam	NOUN
fumecheng-519	12	3	are	be	AUX
fumecheng-519	12	4	increasingly	increasingly	ADV
fumecheng-519	12	5	used	use	VERB
fumecheng-519	12	6	in	in	ADP
fumecheng-519	12	7	many	many	ADJ
fumecheng-519	12	8	fields	field	NOUN
fumecheng-519	12	9	of	of	ADP
fumecheng-519	12	10	engineering	engineering	NOUN
fumecheng-519	12	11	and	and	CCONJ
fumecheng-519	12	12	practically	practically	ADV
fumecheng-519	12	13	always	always	ADV
fumecheng-519	12	14	as	as	ADP
fumecheng-519	12	15	structural	structural	ADJ
fumecheng-519	12	16	elements	element	NOUN
fumecheng-519	12	17	.	.	PUNCT
fumecheng-519	13	1	due	due	ADP
fumecheng-519	13	2	to	to	ADP
fumecheng-519	13	3	the	the	DET
fumecheng-519	13	4	frequent	frequent	ADJ
fumecheng-519	13	5	application	application	NOUN
fumecheng-519	13	6	,	,	PUNCT
fumecheng-519	13	7	they	they	PRON
fumecheng-519	13	8	can	can	AUX
fumecheng-519	13	9	be	be	AUX
fumecheng-519	13	10	very	very	ADV
fumecheng-519	13	11	different	different	ADJ
fumecheng-519	13	12	structures	structure	NOUN
fumecheng-519	13	13	,	,	PUNCT
fumecheng-519	13	14	subjected	subject	VERB
fumecheng-519	13	15	to	to	ADP
fumecheng-519	13	16	various	various	ADJ
fumecheng-519	13	17	types	type	NOUN
fumecheng-519	13	18	of	of	ADP
fumecheng-519	13	19	loads	load	NOUN
fumecheng-519	13	20	.	.	PUNCT
fumecheng-519	14	1	for	for	ADP
fumecheng-519	14	2	this	this	DET
fumecheng-519	14	3	reason	reason	NOUN
fumecheng-519	14	4	,	,	PUNCT
fumecheng-519	14	5	their	their	PRON
fumecheng-519	14	6	dynamic	dynamic	ADJ
fumecheng-519	14	7	properties	property	NOUN
fumecheng-519	14	8	have	have	AUX
fumecheng-519	14	9	been	be	AUX
fumecheng-519	14	10	investigated	investigate	VERB
fumecheng-519	14	11	by	by	ADP
fumecheng-519	14	12	many	many	ADJ
fumecheng-519	14	13	authors	author	NOUN
fumecheng-519	14	14	.	.	PUNCT
fumecheng-519	15	1	among	among	ADP
fumecheng-519	15	2	the	the	DET
fumecheng-519	15	3	first	first	ADJ
fumecheng-519	15	4	ones	one	NOUN
fumecheng-519	15	5	are	be	AUX
fumecheng-519	15	6	jang	jang	PROPN
fumecheng-519	15	7	and	and	CCONJ
fumecheng-519	15	8	bert	bert	PROPN
fumecheng-519	16	1	[	[	X
fumecheng-519	16	2	1	1	NUM
fumecheng-519	16	3	-	-	SYM
fumecheng-519	16	4	2	2	NUM
fumecheng-519	16	5	]	]	PUNCT
fumecheng-519	16	6	who	who	PRON
fumecheng-519	16	7	have	have	AUX
fumecheng-519	16	8	given	give	VERB
fumecheng-519	16	9	the	the	DET
fumecheng-519	16	10	first	first	ADJ
fumecheng-519	16	11	exact	exact	ADJ
fumecheng-519	16	12	results	result	NOUN
fumecheng-519	16	13	for	for	ADP
fumecheng-519	16	14	natural	natural	ADJ
fumecheng-519	16	15	frequencies	frequency	NOUN
fumecheng-519	16	16	of	of	ADP
fumecheng-519	16	17	a	a	DET
fumecheng-519	16	18	stepped	step	VERB
fumecheng-519	16	19	beam	beam	NOUN
fumecheng-519	16	20	.	.	PUNCT
fumecheng-519	17	1	in	in	ADP
fumecheng-519	17	2	jang	jang	PROPN
fumecheng-519	17	3	and	and	CCONJ
fumecheng-519	17	4	bert‟s	bert‟s	ADV
fumecheng-519	17	5	paper	paper	NOUN
fumecheng-519	18	1	[	[	X
fumecheng-519	18	2	1	1	X
fumecheng-519	18	3	]	]	PUNCT
fumecheng-519	18	4	the	the	DET
fumecheng-519	18	5	exact	exact	ADJ
fumecheng-519	18	6	solution	solution	NOUN
fumecheng-519	18	7	for	for	ADP
fumecheng-519	18	8	fundamental	fundamental	ADJ
fumecheng-519	18	9	natural	natural	ADJ
fumecheng-519	18	10	frequencies	frequency	NOUN
fumecheng-519	18	11	is	be	AUX
fumecheng-519	18	12	compared	compare	VERB
fumecheng-519	18	13	with	with	ADP
fumecheng-519	18	14	the	the	DET
fumecheng-519	18	15	results	result	NOUN
fumecheng-519	18	16	obtained	obtain	VERB
fumecheng-519	18	17	by	by	ADP
fumecheng-519	18	18	the	the	DET
fumecheng-519	18	19	use	use	NOUN
fumecheng-519	18	20	of	of	ADP
fumecheng-519	18	21	the	the	DET
fumecheng-519	18	22	finite	finite	ADJ
fumecheng-519	18	23	element	element	NOUN
fumecheng-519	18	24	method	method	NOUN
fumecheng-519	18	25	.	.	PUNCT
fumecheng-519	19	1	in	in	ADP
fumecheng-519	19	2	the	the	DET
fumecheng-519	19	3	next	next	ADJ
fumecheng-519	19	4	paper	paper	NOUN
fumecheng-519	19	5	by	by	ADP
fumecheng-519	19	6	the	the	DET
fumecheng-519	19	7	same	same	ADJ
fumecheng-519	19	8	authors	author	NOUN
fumecheng-519	19	9	[	[	X
fumecheng-519	19	10	2	2	NUM
fumecheng-519	19	11	]	]	X
fumecheng-519	19	12	higher	high	ADJ
fumecheng-519	19	13	mode	mode	NOUN
fumecheng-519	19	14	frequencies	frequency	NOUN
fumecheng-519	19	15	of	of	ADP
fumecheng-519	19	16	a	a	DET
fumecheng-519	19	17	received	receive	VERB
fumecheng-519	19	18	october	october	PROPN
fumecheng-519	19	19	10	10	NUM
fumecheng-519	19	20	,	,	PUNCT
fumecheng-519	19	21	2014	2014	NUM
fumecheng-519	19	22	/	/	SYM
fumecheng-519	19	23	accepted	accept	VERB
fumecheng-519	19	24	november	november	PROPN
fumecheng-519	19	25	19	19	NUM
fumecheng-519	19	26	,	,	PUNCT
fumecheng-519	19	27	2014	2014	NUM
fumecheng-519	19	28	corresponding	correspond	VERB
fumecheng-519	19	29	author	author	NOUN
fumecheng-519	19	30	:	:	PUNCT
fumecheng-519	19	31	goran	goran	PROPN
fumecheng-519	19	32	janevski	janevski	PROPN
fumecheng-519	19	33	university	university	PROPN
fumecheng-519	19	34	of	of	ADP
fumecheng-519	19	35	niš	niš	PROPN
fumecheng-519	19	36	,	,	PUNCT
fumecheng-519	19	37	department	department	NOUN
fumecheng-519	19	38	of	of	ADP
fumecheng-519	19	39	mechanical	mechanical	ADJ
fumecheng-519	19	40	engineering	engineering	NOUN
fumecheng-519	19	41	,	,	PUNCT
fumecheng-519	19	42	serbia	serbia	PROPN
fumecheng-519	19	43	e	e	NOUN
fumecheng-519	19	44	-	-	NOUN
fumecheng-519	19	45	mail	mail	NOUN
fumecheng-519	19	46	:	:	PUNCT
fumecheng-519	19	47	gocky.jane@gmail.com	gocky.jane@gmail.com	X
fumecheng-519	19	48	original	original	ADJ
fumecheng-519	19	49	scientific	scientific	ADJ
fumecheng-519	19	50	paper	paper	NOUN
fumecheng-519	19	51	262	262	NUM
fumecheng-519	19	52	g.	g.	PROPN
fumecheng-519	19	53	janevski	janevski	PROPN
fumecheng-519	19	54	,	,	PUNCT
fumecheng-519	19	55	m.	m.	NOUN
fumecheng-519	19	56	stamenković	stamenković	PROPN
fumecheng-519	19	57	,	,	PUNCT
fumecheng-519	19	58	m.	m.	NOUN
fumecheng-519	19	59	seabra	seabra	VERB
fumecheng-519	19	60	stepped	step	VERB
fumecheng-519	19	61	beam	beam	NOUN
fumecheng-519	19	62	are	be	AUX
fumecheng-519	19	63	obtained	obtain	VERB
fumecheng-519	19	64	,	,	PUNCT
fumecheng-519	19	65	expressing	express	VERB
fumecheng-519	19	66	the	the	DET
fumecheng-519	19	67	frequency	frequency	NOUN
fumecheng-519	19	68	equation	equation	NOUN
fumecheng-519	19	69	as	as	ADP
fumecheng-519	19	70	the	the	DET
fumecheng-519	19	71	fourth	fourth	ADJ
fumecheng-519	19	72	-	-	PUNCT
fumecheng-519	19	73	order	order	NOUN
fumecheng-519	19	74	determinant	determinant	NOUN
fumecheng-519	19	75	equated	equate	VERB
fumecheng-519	19	76	to	to	ADP
fumecheng-519	19	77	zero	zero	NUM
fumecheng-519	19	78	.	.	PUNCT
fumecheng-519	20	1	the	the	DET
fumecheng-519	20	2	vibration	vibration	NOUN
fumecheng-519	20	3	of	of	ADP
fumecheng-519	20	4	euler	euler	PROPN
fumecheng-519	20	5	-	-	PUNCT
fumecheng-519	20	6	bernoulli	bernoulli	NOUN
fumecheng-519	20	7	beam	beam	NOUN
fumecheng-519	20	8	with	with	ADP
fumecheng-519	20	9	step	step	NOUN
fumecheng-519	20	10	changes	change	NOUN
fumecheng-519	20	11	in	in	ADP
fumecheng-519	20	12	cross	cross	NOUN
fumecheng-519	20	13	-	-	NOUN
fumecheng-519	20	14	section	section	NOUN
fumecheng-519	20	15	and	and	CCONJ
fumecheng-519	20	16	under	under	ADP
fumecheng-519	20	17	axial	axial	ADJ
fumecheng-519	20	18	forces	force	NOUN
fumecheng-519	20	19	is	be	AUX
fumecheng-519	20	20	considered	consider	VERB
fumecheng-519	20	21	by	by	ADP
fumecheng-519	20	22	naguleswaran	naguleswaran	ADJ
fumecheng-519	21	1	[	[	X
fumecheng-519	21	2	2	2	NUM
fumecheng-519	21	3	-	-	SYM
fumecheng-519	21	4	7	7	NUM
fumecheng-519	21	5	]	]	PUNCT
fumecheng-519	21	6	.	.	PUNCT
fumecheng-519	22	1	the	the	DET
fumecheng-519	22	2	author	author	NOUN
fumecheng-519	22	3	presents	present	VERB
fumecheng-519	22	4	the	the	DET
fumecheng-519	22	5	first	first	ADJ
fumecheng-519	22	6	three	three	NUM
fumecheng-519	22	7	frequencies	frequency	NOUN
fumecheng-519	22	8	and	and	CCONJ
fumecheng-519	22	9	the	the	DET
fumecheng-519	22	10	first	first	ADJ
fumecheng-519	22	11	two	two	NUM
fumecheng-519	22	12	critical	critical	ADJ
fumecheng-519	22	13	axial	axial	ADJ
fumecheng-519	22	14	forces	force	NOUN
fumecheng-519	22	15	for	for	ADP
fumecheng-519	22	16	beams	beam	NOUN
fumecheng-519	22	17	with	with	ADP
fumecheng-519	22	18	several	several	ADJ
fumecheng-519	22	19	combinations	combination	NOUN
fumecheng-519	22	20	of	of	ADP
fumecheng-519	22	21	axial	axial	ADJ
fumecheng-519	22	22	forces	force	NOUN
fumecheng-519	22	23	in	in	ADP
fumecheng-519	22	24	two	two	NUM
fumecheng-519	22	25	portions	portion	NOUN
fumecheng-519	22	26	,	,	PUNCT
fumecheng-519	22	27	and	and	CCONJ
fumecheng-519	22	28	for	for	ADP
fumecheng-519	22	29	16	16	NUM
fumecheng-519	22	30	sets	set	NOUN
fumecheng-519	22	31	of	of	ADP
fumecheng-519	22	32	boundary	boundary	ADJ
fumecheng-519	22	33	combinations	combination	NOUN
fumecheng-519	22	34	and	and	CCONJ
fumecheng-519	22	35	three	three	NUM
fumecheng-519	22	36	types	type	NOUN
fumecheng-519	22	37	which	which	PRON
fumecheng-519	22	38	occur	occur	VERB
fumecheng-519	22	39	commonly	commonly	ADV
fumecheng-519	22	40	in	in	ADP
fumecheng-519	22	41	engineering	engineering	NOUN
fumecheng-519	22	42	applications	application	NOUN
fumecheng-519	22	43	.	.	PUNCT
fumecheng-519	23	1	also	also	ADV
fumecheng-519	23	2	,	,	PUNCT
fumecheng-519	23	3	naguleswaran	naguleswaran	ADJ
fumecheng-519	23	4	[	[	X
fumecheng-519	23	5	6	6	NUM
fumecheng-519	23	6	]	]	PUNCT
fumecheng-519	23	7	investigates	investigate	VERB
fumecheng-519	23	8	the	the	DET
fumecheng-519	23	9	sensitivity	sensitivity	NOUN
fumecheng-519	23	10	of	of	ADP
fumecheng-519	23	11	frequency	frequency	NOUN
fumecheng-519	23	12	parameters	parameter	NOUN
fumecheng-519	23	13	from	from	ADP
fumecheng-519	23	14	the	the	DET
fumecheng-519	23	15	step	step	NOUN
fumecheng-519	23	16	location	location	NOUN
fumecheng-519	23	17	factor	factor	NOUN
fumecheng-519	23	18	and	and	CCONJ
fumecheng-519	23	19	the	the	DET
fumecheng-519	23	20	“	"	PUNCT
fumecheng-519	23	21	active	active	ADJ
fumecheng-519	23	22	“	"	PUNCT
fumecheng-519	23	23	dimension	dimension	NOUN
fumecheng-519	23	24	factor	factor	NOUN
fumecheng-519	23	25	.	.	PUNCT
fumecheng-519	24	1	the	the	DET
fumecheng-519	24	2	sensitivity	sensitivity	NOUN
fumecheng-519	24	3	is	be	AUX
fumecheng-519	24	4	presented	present	VERB
fumecheng-519	24	5	for	for	ADP
fumecheng-519	24	6	the	the	DET
fumecheng-519	24	7	selected	select	VERB
fumecheng-519	24	8	system	system	NOUN
fumecheng-519	24	9	parameters	parameter	NOUN
fumecheng-519	24	10	.	.	PUNCT
fumecheng-519	25	1	the	the	DET
fumecheng-519	25	2	vibration	vibration	NOUN
fumecheng-519	25	3	of	of	ADP
fumecheng-519	25	4	an	an	DET
fumecheng-519	25	5	eulerbernoulli	eulerbernoulli	NOUN
fumecheng-519	25	6	beam	beam	NOUN
fumecheng-519	25	7	with	with	ADP
fumecheng-519	25	8	three	three	NUM
fumecheng-519	25	9	step	step	NOUN
fumecheng-519	25	10	changes	change	NOUN
fumecheng-519	25	11	and	and	CCONJ
fumecheng-519	25	12	elastic	elastic	ADJ
fumecheng-519	25	13	end	end	NOUN
fumecheng-519	25	14	supports	support	NOUN
fumecheng-519	25	15	is	be	AUX
fumecheng-519	25	16	investigated	investigate	VERB
fumecheng-519	25	17	in	in	ADP
fumecheng-519	25	18	[	[	X
fumecheng-519	25	19	7	7	NUM
fumecheng-519	25	20	]	]	PUNCT
fumecheng-519	25	21	.	.	PUNCT
fumecheng-519	26	1	the	the	DET
fumecheng-519	26	2	first	first	ADJ
fumecheng-519	26	3	three	three	NUM
fumecheng-519	26	4	frequency	frequency	NOUN
fumecheng-519	26	5	parameters	parameter	NOUN
fumecheng-519	26	6	are	be	AUX
fumecheng-519	26	7	tabulated	tabulate	VERB
fumecheng-519	26	8	for	for	ADP
fumecheng-519	26	9	the	the	DET
fumecheng-519	26	10	selected	select	VERB
fumecheng-519	26	11	sets	set	NOUN
fumecheng-519	26	12	of	of	ADP
fumecheng-519	26	13	system	system	NOUN
fumecheng-519	26	14	parameters	parameter	NOUN
fumecheng-519	26	15	and	and	CCONJ
fumecheng-519	26	16	classical	classical	ADJ
fumecheng-519	26	17	end	end	NOUN
fumecheng-519	26	18	support	support	NOUN
fumecheng-519	26	19	and	and	CCONJ
fumecheng-519	26	20	35	35	NUM
fumecheng-519	26	21	types	type	NOUN
fumecheng-519	26	22	of	of	ADP
fumecheng-519	26	23	elastic	elastic	ADJ
fumecheng-519	26	24	end	end	NOUN
fumecheng-519	26	25	supports	support	NOUN
fumecheng-519	26	26	.	.	PUNCT
fumecheng-519	27	1	vibration	vibration	NOUN
fumecheng-519	27	2	and	and	CCONJ
fumecheng-519	27	3	stability	stability	NOUN
fumecheng-519	27	4	of	of	ADP
fumecheng-519	27	5	eulerbernoulli	eulerbernoulli	ADJ
fumecheng-519	27	6	tie	tie	NOUN
fumecheng-519	27	7	-	-	PUNCT
fumecheng-519	27	8	bars	bar	NOUN
fumecheng-519	27	9	are	be	AUX
fumecheng-519	27	10	considered	consider	VERB
fumecheng-519	27	11	by	by	ADP
fumecheng-519	27	12	naguleswaran	naguleswaran	ADJ
fumecheng-519	27	13	[	[	X
fumecheng-519	27	14	3	3	NUM
fumecheng-519	27	15	]	]	PUNCT
fumecheng-519	27	16	.	.	PUNCT
fumecheng-519	28	1	the	the	DET
fumecheng-519	28	2	first	first	ADJ
fumecheng-519	28	3	three	three	NUM
fumecheng-519	28	4	frequency	frequency	NOUN
fumecheng-519	28	5	parameters	parameter	NOUN
fumecheng-519	28	6	and	and	CCONJ
fumecheng-519	28	7	the	the	DET
fumecheng-519	28	8	first	first	ADJ
fumecheng-519	28	9	two	two	NUM
fumecheng-519	28	10	buckling	buckle	VERB
fumecheng-519	28	11	axial	axial	ADJ
fumecheng-519	28	12	forces	force	NOUN
fumecheng-519	28	13	are	be	AUX
fumecheng-519	28	14	tabulated	tabulate	VERB
fumecheng-519	28	15	for	for	ADP
fumecheng-519	28	16	three	three	NUM
fumecheng-519	28	17	type	type	NOUN
fumecheng-519	28	18	arrangements	arrangement	NOUN
fumecheng-519	28	19	with	with	ADP
fumecheng-519	28	20	different	different	ADJ
fumecheng-519	28	21	number	number	NOUN
fumecheng-519	28	22	of	of	ADP
fumecheng-519	28	23	rings	ring	NOUN
fumecheng-519	28	24	and	and	CCONJ
fumecheng-519	28	25	various	various	ADJ
fumecheng-519	28	26	end	end	NOUN
fumecheng-519	28	27	supports	support	NOUN
fumecheng-519	28	28	.	.	PUNCT
fumecheng-519	29	1	the	the	DET
fumecheng-519	29	2	frequencies	frequency	NOUN
fumecheng-519	29	3	,	,	PUNCT
fumecheng-519	29	4	in	in	ADP
fumecheng-519	29	5	graphical	graphical	ADJ
fumecheng-519	29	6	form	form	NOUN
fumecheng-519	29	7	,	,	PUNCT
fumecheng-519	29	8	of	of	ADP
fumecheng-519	29	9	a	a	DET
fumecheng-519	29	10	uniform	uniform	ADJ
fumecheng-519	29	11	euler	euler	PROPN
fumecheng-519	29	12	-	-	PUNCT
fumecheng-519	29	13	bernoulli	bernoulli	PROPN
fumecheng-519	29	14	beam	beam	NOUN
fumecheng-519	29	15	under	under	ADP
fumecheng-519	29	16	constant	constant	ADJ
fumecheng-519	29	17	axial	axial	ADJ
fumecheng-519	29	18	compressive	compressive	ADJ
fumecheng-519	29	19	and	and	CCONJ
fumecheng-519	29	20	tensile	tensile	ADJ
fumecheng-519	29	21	force	force	NOUN
fumecheng-519	29	22	for	for	ADP
fumecheng-519	29	23	the	the	DET
fumecheng-519	29	24	classical	classical	ADJ
fumecheng-519	29	25	boundary	boundary	ADJ
fumecheng-519	29	26	conditions	condition	NOUN
fumecheng-519	29	27	are	be	AUX
fumecheng-519	29	28	presented	present	VERB
fumecheng-519	29	29	by	by	ADP
fumecheng-519	29	30	bokaian	bokaian	PROPN
fumecheng-519	30	1	[	[	X
fumecheng-519	30	2	8	8	NUM
fumecheng-519	30	3	-	-	SYM
fumecheng-519	30	4	9	9	NUM
fumecheng-519	30	5	]	]	PUNCT
fumecheng-519	30	6	.	.	PUNCT
fumecheng-519	31	1	by	by	ADP
fumecheng-519	31	2	means	mean	NOUN
fumecheng-519	31	3	of	of	ADP
fumecheng-519	31	4	the	the	DET
fumecheng-519	31	5	adomian	adomian	NOUN
fumecheng-519	31	6	decomposition	decomposition	NOUN
fumecheng-519	31	7	method	method	NOUN
fumecheng-519	31	8	,	,	PUNCT
fumecheng-519	31	9	mao	mao	NOUN
fumecheng-519	31	10	and	and	CCONJ
fumecheng-519	31	11	pietrzko	pietrzko	NOUN
fumecheng-519	31	12	[	[	X
fumecheng-519	31	13	10	10	NUM
fumecheng-519	31	14	]	]	PUNCT
fumecheng-519	31	15	investigate	investigate	VERB
fumecheng-519	31	16	the	the	DET
fumecheng-519	31	17	free	free	ADJ
fumecheng-519	31	18	vibrations	vibration	NOUN
fumecheng-519	31	19	of	of	ADP
fumecheng-519	31	20	a	a	DET
fumecheng-519	31	21	stepped	step	VERB
fumecheng-519	31	22	beam	beam	NOUN
fumecheng-519	31	23	.	.	PUNCT
fumecheng-519	32	1	the	the	DET
fumecheng-519	32	2	first	first	ADJ
fumecheng-519	32	3	four	four	NUM
fumecheng-519	32	4	natural	natural	ADJ
fumecheng-519	32	5	frequencies	frequency	NOUN
fumecheng-519	32	6	for	for	ADP
fumecheng-519	32	7	classical	classical	ADJ
fumecheng-519	32	8	end	end	NOUN
fumecheng-519	32	9	supports	support	NOUN
fumecheng-519	32	10	are	be	AUX
fumecheng-519	32	11	tabulated	tabulate	VERB
fumecheng-519	32	12	.	.	PUNCT
fumecheng-519	33	1	also	also	ADV
fumecheng-519	33	2	,	,	PUNCT
fumecheng-519	33	3	the	the	DET
fumecheng-519	33	4	authors	author	NOUN
fumecheng-519	33	5	obtain	obtain	VERB
fumecheng-519	33	6	the	the	DET
fumecheng-519	33	7	frequencies	frequency	NOUN
fumecheng-519	33	8	for	for	ADP
fumecheng-519	33	9	the	the	DET
fumecheng-519	33	10	stepped	step	VERB
fumecheng-519	33	11	beam	beam	NOUN
fumecheng-519	33	12	with	with	ADP
fumecheng-519	33	13	a	a	DET
fumecheng-519	33	14	translational	translational	ADJ
fumecheng-519	33	15	and	and	CCONJ
fumecheng-519	33	16	rotational	rotational	ADJ
fumecheng-519	33	17	spring	spring	NOUN
fumecheng-519	33	18	at	at	ADP
fumecheng-519	33	19	one	one	NUM
fumecheng-519	33	20	and	and	CCONJ
fumecheng-519	33	21	both	both	PRON
fumecheng-519	33	22	ends	end	VERB
fumecheng-519	33	23	.	.	PUNCT
fumecheng-519	34	1	their	their	PRON
fumecheng-519	34	2	results	result	NOUN
fumecheng-519	34	3	are	be	AUX
fumecheng-519	34	4	compared	compare	VERB
fumecheng-519	34	5	with	with	ADP
fumecheng-519	34	6	those	those	PRON
fumecheng-519	34	7	obtained	obtain	VERB
fumecheng-519	34	8	in	in	ADP
fumecheng-519	34	9	[	[	X
fumecheng-519	34	10	7	7	NUM
fumecheng-519	34	11	]	]	PUNCT
fumecheng-519	34	12	.	.	PUNCT
fumecheng-519	35	1	mao	mao	PROPN
fumecheng-519	36	1	[	[	X
fumecheng-519	36	2	11	11	NUM
fumecheng-519	36	3	]	]	PUNCT
fumecheng-519	36	4	has	have	AUX
fumecheng-519	36	5	extended	extend	VERB
fumecheng-519	36	6	the	the	DET
fumecheng-519	36	7	study	study	NOUN
fumecheng-519	36	8	in	in	ADP
fumecheng-519	36	9	[	[	X
fumecheng-519	36	10	10	10	NUM
fumecheng-519	36	11	]	]	PUNCT
fumecheng-519	36	12	to	to	ADP
fumecheng-519	36	13	multiple	multiple	ADV
fumecheng-519	36	14	-	-	PUNCT
fumecheng-519	36	15	stepped	step	VERB
fumecheng-519	36	16	beams	beam	NOUN
fumecheng-519	36	17	and	and	CCONJ
fumecheng-519	36	18	compared	compare	VERB
fumecheng-519	36	19	them	they	PRON
fumecheng-519	36	20	with	with	ADP
fumecheng-519	36	21	those	those	PRON
fumecheng-519	36	22	obtained	obtain	VERB
fumecheng-519	36	23	in	in	ADP
fumecheng-519	36	24	[	[	X
fumecheng-519	36	25	3	3	NUM
fumecheng-519	36	26	]	]	PUNCT
fumecheng-519	36	27	.	.	PUNCT
fumecheng-519	37	1	by	by	ADP
fumecheng-519	37	2	using	use	VERB
fumecheng-519	37	3	the	the	DET
fumecheng-519	37	4	continuous	continuous	ADJ
fumecheng-519	37	5	-	-	PUNCT
fumecheng-519	37	6	mass	mass	NOUN
fumecheng-519	37	7	transfer	transfer	NOUN
fumecheng-519	37	8	matrix	matrix	NOUN
fumecheng-519	37	9	method	method	NOUN
fumecheng-519	37	10	,	,	PUNCT
fumecheng-519	37	11	wu	wu	PROPN
fumecheng-519	37	12	and	and	CCONJ
fumecheng-519	37	13	chang	chang	PROPN
fumecheng-519	37	14	[	[	X
fumecheng-519	37	15	12	12	NUM
fumecheng-519	37	16	]	]	PUNCT
fumecheng-519	37	17	have	have	AUX
fumecheng-519	37	18	investigated	investigate	VERB
fumecheng-519	37	19	free	free	ADJ
fumecheng-519	37	20	vibration	vibration	NOUN
fumecheng-519	37	21	of	of	ADP
fumecheng-519	37	22	the	the	DET
fumecheng-519	37	23	axial	axial	ADJ
fumecheng-519	37	24	loaded	load	VERB
fumecheng-519	37	25	multi	multi	ADJ
fumecheng-519	37	26	-	-	ADJ
fumecheng-519	37	27	step	step	ADJ
fumecheng-519	37	28	timoshenko	timoshenko	ADJ
fumecheng-519	37	29	non	non	ADJ
fumecheng-519	37	30	-	-	ADJ
fumecheng-519	37	31	uniform	uniform	ADJ
fumecheng-519	37	32	beam	beam	NOUN
fumecheng-519	37	33	carrying	carry	VERB
fumecheng-519	37	34	any	any	DET
fumecheng-519	37	35	number	number	NOUN
fumecheng-519	37	36	of	of	ADP
fumecheng-519	37	37	concentrated	concentrated	ADJ
fumecheng-519	37	38	elements	element	NOUN
fumecheng-519	37	39	.	.	PUNCT
fumecheng-519	38	1	in	in	ADP
fumecheng-519	38	2	this	this	DET
fumecheng-519	38	3	paper	paper	NOUN
fumecheng-519	38	4	the	the	DET
fumecheng-519	38	5	authors	author	NOUN
fumecheng-519	38	6	take	take	VERB
fumecheng-519	38	7	into	into	ADP
fumecheng-519	38	8	consideration	consideration	NOUN
fumecheng-519	38	9	the	the	DET
fumecheng-519	38	10	effects	effect	NOUN
fumecheng-519	38	11	of	of	ADP
fumecheng-519	38	12	shear	shear	NOUN
fumecheng-519	38	13	deformation	deformation	NOUN
fumecheng-519	38	14	,	,	PUNCT
fumecheng-519	38	15	rotary	rotary	NOUN
fumecheng-519	38	16	inertia	inertia	NOUN
fumecheng-519	38	17	and	and	CCONJ
fumecheng-519	38	18	their	their	PRON
fumecheng-519	38	19	joint	joint	ADJ
fumecheng-519	38	20	action	action	NOUN
fumecheng-519	38	21	term	term	NOUN
fumecheng-519	38	22	,	,	PUNCT
fumecheng-519	38	23	and	and	CCONJ
fumecheng-519	38	24	thus	thus	ADV
fumecheng-519	38	25	determine	determine	VERB
fumecheng-519	38	26	the	the	DET
fumecheng-519	38	27	exact	exact	ADJ
fumecheng-519	38	28	natural	natural	ADJ
fumecheng-519	38	29	frequencies	frequency	NOUN
fumecheng-519	38	30	.	.	PUNCT
fumecheng-519	39	1	zhang	zhang	PROPN
fumecheng-519	39	2	at	at	ADP
fumecheng-519	39	3	al	al	PROPN
fumecheng-519	39	4	.	.	PUNCT
fumecheng-519	40	1	[	[	X
fumecheng-519	40	2	13	13	NUM
fumecheng-519	40	3	]	]	PUNCT
fumecheng-519	40	4	have	have	AUX
fumecheng-519	40	5	developed	develop	VERB
fumecheng-519	40	6	an	an	DET
fumecheng-519	40	7	analytic	analytic	ADJ
fumecheng-519	40	8	method	method	NOUN
fumecheng-519	40	9	to	to	PART
fumecheng-519	40	10	study	study	VERB
fumecheng-519	40	11	transverse	transverse	NOUN
fumecheng-519	40	12	vibrations	vibration	NOUN
fumecheng-519	40	13	of	of	ADP
fumecheng-519	40	14	double	double	ADJ
fumecheng-519	40	15	-	-	PUNCT
fumecheng-519	40	16	beam	beam	NOUN
fumecheng-519	40	17	systems	system	NOUN
fumecheng-519	40	18	,	,	PUNCT
fumecheng-519	40	19	in	in	ADP
fumecheng-519	40	20	which	which	PRON
fumecheng-519	40	21	two	two	NUM
fumecheng-519	40	22	parallel	parallel	ADJ
fumecheng-519	40	23	timoshenko	timoshenko	NOUN
fumecheng-519	40	24	beams	beam	NOUN
fumecheng-519	40	25	are	be	AUX
fumecheng-519	40	26	connected	connect	VERB
fumecheng-519	40	27	by	by	ADP
fumecheng-519	40	28	discrete	discrete	ADJ
fumecheng-519	40	29	springs	spring	NOUN
fumecheng-519	40	30	and	and	CCONJ
fumecheng-519	40	31	coupled	couple	VERB
fumecheng-519	40	32	with	with	ADP
fumecheng-519	40	33	various	various	ADJ
fumecheng-519	40	34	discontinuities	discontinuity	NOUN
fumecheng-519	40	35	.	.	PUNCT
fumecheng-519	41	1	by	by	ADP
fumecheng-519	41	2	dividing	divide	VERB
fumecheng-519	41	3	the	the	DET
fumecheng-519	41	4	entire	entire	ADJ
fumecheng-519	41	5	structure	structure	NOUN
fumecheng-519	41	6	into	into	ADP
fumecheng-519	41	7	a	a	DET
fumecheng-519	41	8	series	series	NOUN
fumecheng-519	41	9	of	of	ADP
fumecheng-519	41	10	distinct	distinct	ADJ
fumecheng-519	41	11	components	component	NOUN
fumecheng-519	41	12	,	,	PUNCT
fumecheng-519	41	13	and	and	CCONJ
fumecheng-519	41	14	then	then	ADV
fumecheng-519	41	15	systematically	systematically	ADV
fumecheng-519	41	16	organizing	organize	VERB
fumecheng-519	41	17	compatibility	compatibility	NOUN
fumecheng-519	41	18	and	and	CCONJ
fumecheng-519	41	19	boundary	boundary	ADJ
fumecheng-519	41	20	conditions	condition	NOUN
fumecheng-519	41	21	with	with	ADP
fumecheng-519	41	22	matrix	matrix	NOUN
fumecheng-519	41	23	formulations	formulation	NOUN
fumecheng-519	41	24	,	,	PUNCT
fumecheng-519	41	25	closed	closed	ADJ
fumecheng-519	41	26	-	-	PUNCT
fumecheng-519	41	27	form	form	NOUN
fumecheng-519	41	28	expressions	expression	NOUN
fumecheng-519	41	29	for	for	ADP
fumecheng-519	41	30	the	the	DET
fumecheng-519	41	31	exact	exact	ADJ
fumecheng-519	41	32	natural	natural	ADJ
fumecheng-519	41	33	frequencies	frequency	NOUN
fumecheng-519	41	34	,	,	PUNCT
fumecheng-519	41	35	mode	mode	NOUN
fumecheng-519	41	36	shapes	shape	NOUN
fumecheng-519	41	37	and	and	CCONJ
fumecheng-519	41	38	frequency	frequency	NOUN
fumecheng-519	41	39	response	response	NOUN
fumecheng-519	41	40	functions	function	NOUN
fumecheng-519	41	41	can	can	AUX
fumecheng-519	41	42	be	be	AUX
fumecheng-519	41	43	determined	determine	VERB
fumecheng-519	41	44	.	.	PUNCT
fumecheng-519	42	1	parametric	parametric	ADJ
fumecheng-519	42	2	studies	study	NOUN
fumecheng-519	42	3	are	be	AUX
fumecheng-519	42	4	performed	perform	VERB
fumecheng-519	42	5	for	for	ADP
fumecheng-519	42	6	a	a	DET
fumecheng-519	42	7	practical	practical	ADJ
fumecheng-519	42	8	example	example	NOUN
fumecheng-519	42	9	to	to	PART
fumecheng-519	42	10	illustrate	illustrate	VERB
fumecheng-519	42	11	the	the	DET
fumecheng-519	42	12	influences	influence	NOUN
fumecheng-519	42	13	of	of	ADP
fumecheng-519	42	14	the	the	DET
fumecheng-519	42	15	parametric	parametric	ADJ
fumecheng-519	42	16	variabilities	variability	NOUN
fumecheng-519	42	17	on	on	ADP
fumecheng-519	42	18	the	the	DET
fumecheng-519	42	19	dynamic	dynamic	ADJ
fumecheng-519	42	20	behaviors	behavior	NOUN
fumecheng-519	42	21	.	.	PUNCT
fumecheng-519	43	1	in	in	ADP
fumecheng-519	43	2	the	the	DET
fumecheng-519	43	3	present	present	ADJ
fumecheng-519	43	4	paper	paper	NOUN
fumecheng-519	43	5	,	,	PUNCT
fumecheng-519	43	6	the	the	DET
fumecheng-519	43	7	emphasis	emphasis	NOUN
fumecheng-519	43	8	is	be	AUX
fumecheng-519	43	9	on	on	ADP
fumecheng-519	43	10	the	the	DET
fumecheng-519	43	11	critical	critical	ADJ
fumecheng-519	43	12	axial	axial	ADJ
fumecheng-519	43	13	force	force	NOUN
fumecheng-519	43	14	and	and	CCONJ
fumecheng-519	43	15	natural	natural	ADJ
fumecheng-519	43	16	frequencies	frequency	NOUN
fumecheng-519	43	17	of	of	ADP
fumecheng-519	43	18	a	a	DET
fumecheng-519	43	19	timoshenko	timoshenko	NOUN
fumecheng-519	43	20	stepped	step	VERB
fumecheng-519	43	21	beam	beam	NOUN
fumecheng-519	43	22	.	.	PUNCT
fumecheng-519	44	1	the	the	DET
fumecheng-519	44	2	three	three	NUM
fumecheng-519	44	3	types	type	NOUN
fumecheng-519	44	4	of	of	ADP
fumecheng-519	44	5	frequent	frequent	ADJ
fumecheng-519	44	6	use	use	NOUN
fumecheng-519	44	7	in	in	ADP
fumecheng-519	44	8	engineering	engineering	NOUN
fumecheng-519	44	9	applications	application	NOUN
fumecheng-519	44	10	are	be	AUX
fumecheng-519	44	11	considered	consider	VERB
fumecheng-519	44	12	.	.	PUNCT
fumecheng-519	45	1	the	the	DET
fumecheng-519	45	2	frequency	frequency	NOUN
fumecheng-519	45	3	equations	equation	NOUN
fumecheng-519	45	4	for	for	ADP
fumecheng-519	45	5	four	four	NUM
fumecheng-519	45	6	combinations	combination	NOUN
fumecheng-519	45	7	of	of	ADP
fumecheng-519	45	8	the	the	DET
fumecheng-519	45	9	classical	classical	ADJ
fumecheng-519	45	10	boundary	boundary	ADJ
fumecheng-519	45	11	conditions	condition	NOUN
fumecheng-519	45	12	are	be	AUX
fumecheng-519	45	13	expressed	express	VERB
fumecheng-519	45	14	as	as	SCONJ
fumecheng-519	45	15	the	the	DET
fumecheng-519	45	16	second	second	ADJ
fumecheng-519	45	17	order	order	NOUN
fumecheng-519	45	18	determinants	determinant	NOUN
fumecheng-519	45	19	equated	equate	VERB
fumecheng-519	45	20	to	to	ADP
fumecheng-519	45	21	zero	zero	NUM
fumecheng-519	45	22	.	.	PUNCT
fumecheng-519	46	1	the	the	DET
fumecheng-519	46	2	critical	critical	ADJ
fumecheng-519	46	3	axial	axial	ADJ
fumecheng-519	46	4	force	force	NOUN
fumecheng-519	46	5	is	be	AUX
fumecheng-519	46	6	presented	present	VERB
fumecheng-519	46	7	in	in	ADP
fumecheng-519	46	8	the	the	DET
fumecheng-519	46	9	function	function	NOUN
fumecheng-519	46	10	of	of	ADP
fumecheng-519	46	11	the	the	DET
fumecheng-519	46	12	dimensionless	dimensionless	NOUN
fumecheng-519	46	13	parameter	parameter	NOUN
fumecheng-519	46	14	.	.	PUNCT
fumecheng-519	47	1	the	the	DET
fumecheng-519	47	2	influence	influence	NOUN
fumecheng-519	47	3	of	of	ADP
fumecheng-519	47	4	a	a	DET
fumecheng-519	47	5	flexural	flexural	ADJ
fumecheng-519	47	6	rigidity	rigidity	NOUN
fumecheng-519	47	7	ratio	ratio	NOUN
fumecheng-519	47	8	,	,	PUNCT
fumecheng-519	47	9	slenderness	slenderness	ADJ
fumecheng-519	47	10	ratio	ratio	NOUN
fumecheng-519	47	11	and	and	CCONJ
fumecheng-519	47	12	type	type	NOUN
fumecheng-519	47	13	of	of	ADP
fumecheng-519	47	14	beam	beam	NOUN
fumecheng-519	47	15	are	be	AUX
fumecheng-519	47	16	considered	consider	VERB
fumecheng-519	47	17	.	.	PUNCT
fumecheng-519	48	1	the	the	DET
fumecheng-519	48	2	obtained	obtain	VERB
fumecheng-519	48	3	results	result	NOUN
fumecheng-519	48	4	are	be	AUX
fumecheng-519	48	5	displayed	display	VERB
fumecheng-519	48	6	graphically	graphically	ADV
fumecheng-519	48	7	for	for	ADP
fumecheng-519	48	8	a	a	DET
fumecheng-519	48	9	set	set	NOUN
fumecheng-519	48	10	of	of	ADP
fumecheng-519	48	11	combinations	combination	NOUN
fumecheng-519	48	12	of	of	ADP
fumecheng-519	48	13	dimension	dimension	NOUN
fumecheng-519	48	14	factors	factor	NOUN
fumecheng-519	48	15	and	and	CCONJ
fumecheng-519	48	16	location	location	NOUN
fumecheng-519	48	17	parameters	parameter	NOUN
fumecheng-519	48	18	.	.	PUNCT
fumecheng-519	49	1	critical	critical	ADJ
fumecheng-519	49	2	load	load	NOUN
fumecheng-519	49	3	parameter	parameter	NOUN
fumecheng-519	49	4	of	of	ADP
fumecheng-519	49	5	a	a	DET
fumecheng-519	49	6	timoshenko	timoshenko	ADJ
fumecheng-519	49	7	beam	beam	NOUN
fumecheng-519	49	8	with	with	ADP
fumecheng-519	49	9	one	one	NUM
fumecheng-519	49	10	-	-	PUNCT
fumecheng-519	49	11	step	step	NOUN
fumecheng-519	49	12	change	change	NOUN
fumecheng-519	49	13	in	in	ADP
fumecheng-519	49	14	cross	cross	NOUN
fumecheng-519	49	15	section	section	NOUN
fumecheng-519	49	16	263	263	NUM
fumecheng-519	49	17	2	2	NUM
fumecheng-519	49	18	.	.	PUNCT
fumecheng-519	50	1	problem	problem	NOUN
fumecheng-519	50	2	formulation	formulation	NOUN
fumecheng-519	50	3	the	the	DET
fumecheng-519	50	4	basic	basic	ADJ
fumecheng-519	50	5	differential	differential	ADJ
fumecheng-519	50	6	equations	equation	NOUN
fumecheng-519	50	7	of	of	ADP
fumecheng-519	50	8	motion	motion	NOUN
fumecheng-519	50	9	for	for	ADP
fumecheng-519	50	10	the	the	DET
fumecheng-519	50	11	analysis	analysis	NOUN
fumecheng-519	50	12	will	will	AUX
fumecheng-519	50	13	be	be	AUX
fumecheng-519	50	14	reduced	reduce	VERB
fumecheng-519	50	15	by	by	ADP
fumecheng-519	50	16	considering	consider	VERB
fumecheng-519	50	17	the	the	DET
fumecheng-519	50	18	timoshenko	timoshenko	NOUN
fumecheng-519	50	19	-	-	PUNCT
fumecheng-519	50	20	beam	beam	NOUN
fumecheng-519	50	21	of	of	ADP
fumecheng-519	50	22	length	length	NOUN
fumecheng-519	50	23	l	l	PROPN
fumecheng-519	50	24	,	,	PUNCT
fumecheng-519	50	25	subjected	subject	VERB
fumecheng-519	50	26	to	to	ADP
fumecheng-519	50	27	axial	axial	ADJ
fumecheng-519	50	28	compressive	compressive	ADJ
fumecheng-519	50	29	force	force	PROPN
fumecheng-519	50	30	f.	f.	PROPN
fumecheng-519	50	31	this	this	PRON
fumecheng-519	50	32	will	will	AUX
fumecheng-519	50	33	be	be	AUX
fumecheng-519	50	34	applied	apply	VERB
fumecheng-519	50	35	on	on	ADP
fumecheng-519	50	36	the	the	DET
fumecheng-519	50	37	basis	basis	NOUN
fumecheng-519	50	38	of	of	ADP
fumecheng-519	50	39	the	the	DET
fumecheng-519	50	40	following	follow	VERB
fumecheng-519	50	41	assumptions	assumption	NOUN
fumecheng-519	50	42	:	:	PUNCT
fumecheng-519	50	43			X
fumecheng-519	50	44	the	the	DET
fumecheng-519	50	45	behavior	behavior	NOUN
fumecheng-519	50	46	of	of	ADP
fumecheng-519	50	47	the	the	DET
fumecheng-519	50	48	beam	beam	NOUN
fumecheng-519	50	49	material	material	NOUN
fumecheng-519	50	50	is	be	AUX
fumecheng-519	50	51	linear	linear	ADJ
fumecheng-519	50	52	elastic	elastic	ADJ
fumecheng-519	50	53	,	,	PUNCT
fumecheng-519	50	54			PUNCT
fumecheng-519	50	55	the	the	DET
fumecheng-519	50	56	cross	cross	NOUN
fumecheng-519	50	57	-	-	NOUN
fumecheng-519	50	58	section	section	NOUN
fumecheng-519	50	59	is	be	AUX
fumecheng-519	50	60	rigid	rigid	ADJ
fumecheng-519	50	61	and	and	CCONJ
fumecheng-519	50	62	constant	constant	ADJ
fumecheng-519	50	63	throughout	throughout	ADP
fumecheng-519	50	64	the	the	DET
fumecheng-519	50	65	length	length	NOUN
fumecheng-519	50	66	of	of	ADP
fumecheng-519	50	67	the	the	DET
fumecheng-519	50	68	beam	beam	NOUN
fumecheng-519	50	69	and	and	CCONJ
fumecheng-519	50	70	has	have	VERB
fumecheng-519	50	71	one	one	NUM
fumecheng-519	50	72	plane	plane	NOUN
fumecheng-519	50	73	of	of	ADP
fumecheng-519	50	74	symmetry	symmetry	NOUN
fumecheng-519	50	75	,	,	PUNCT
fumecheng-519	50	76			PART
fumecheng-519	50	77	shear	shear	NOUN
fumecheng-519	50	78	deformations	deformation	NOUN
fumecheng-519	50	79	of	of	ADP
fumecheng-519	50	80	the	the	DET
fumecheng-519	50	81	cross	cross	NOUN
fumecheng-519	50	82	-	-	NOUN
fumecheng-519	50	83	section	section	NOUN
fumecheng-519	50	84	of	of	ADP
fumecheng-519	50	85	the	the	DET
fumecheng-519	50	86	beam	beam	NOUN
fumecheng-519	50	87	are	be	AUX
fumecheng-519	50	88	taken	take	VERB
fumecheng-519	50	89	into	into	ADP
fumecheng-519	50	90	account	account	NOUN
fumecheng-519	50	91	while	while	SCONJ
fumecheng-519	50	92	the	the	DET
fumecheng-519	50	93	elastic	elastic	ADJ
fumecheng-519	50	94	axial	axial	ADJ
fumecheng-519	50	95	deformations	deformation	NOUN
fumecheng-519	50	96	are	be	AUX
fumecheng-519	50	97	ignored	ignore	VERB
fumecheng-519	50	98	,	,	PUNCT
fumecheng-519	50	99			PUNCT
fumecheng-519	50	100	the	the	DET
fumecheng-519	50	101	equations	equation	NOUN
fumecheng-519	50	102	are	be	AUX
fumecheng-519	50	103	derived	derive	VERB
fumecheng-519	50	104	bearing	bear	VERB
fumecheng-519	50	105	in	in	ADP
fumecheng-519	50	106	mind	mind	NOUN
fumecheng-519	50	107	the	the	DET
fumecheng-519	50	108	geometric	geometric	ADJ
fumecheng-519	50	109	axial	axial	ADJ
fumecheng-519	50	110	deformations	deformation	NOUN
fumecheng-519	50	111	,	,	PUNCT
fumecheng-519	50	112	and	and	CCONJ
fumecheng-519	50	113	,	,	PUNCT
fumecheng-519	50	114			X
fumecheng-519	50	115	axial	axial	ADJ
fumecheng-519	50	116	forces	force	NOUN
fumecheng-519	50	117	f	f	X
fumecheng-519	50	118	acting	act	VERB
fumecheng-519	50	119	on	on	ADP
fumecheng-519	50	120	the	the	DET
fumecheng-519	50	121	ends	end	NOUN
fumecheng-519	50	122	of	of	ADP
fumecheng-519	50	123	the	the	DET
fumecheng-519	50	124	beam	beam	NOUN
fumecheng-519	50	125	do	do	AUX
fumecheng-519	50	126	not	not	PART
fumecheng-519	50	127	change	change	VERB
fumecheng-519	50	128	with	with	ADP
fumecheng-519	50	129	time	time	NOUN
fumecheng-519	50	130	.	.	PUNCT
fumecheng-519	51	1	fig	fig	NOUN
fumecheng-519	51	2	.	.	PUNCT
fumecheng-519	52	1	1	1	NUM
fumecheng-519	52	2	the	the	DET
fumecheng-519	52	3	coordinate	coordinate	NOUN
fumecheng-519	52	4	system	system	NOUN
fumecheng-519	52	5	and	and	CCONJ
fumecheng-519	52	6	notation	notation	NOUN
fumecheng-519	52	7	for	for	ADP
fumecheng-519	52	8	the	the	DET
fumecheng-519	52	9	beam	beam	NOUN
fumecheng-519	52	10	:	:	PUNCT
fumecheng-519	52	11	a	a	X
fumecheng-519	52	12	)	)	PUNCT
fumecheng-519	52	13	timoshenko	timoshenko	NOUN
fumecheng-519	52	14	-	-	PUNCT
fumecheng-519	52	15	beam	beam	NOUN
fumecheng-519	52	16	subjected	subject	VERB
fumecheng-519	52	17	to	to	ADP
fumecheng-519	52	18	an	an	DET
fumecheng-519	52	19	axial	axial	ADJ
fumecheng-519	52	20	compressive	compressive	ADJ
fumecheng-519	52	21	force	force	NOUN
fumecheng-519	52	22	f	f	PROPN
fumecheng-519	52	23	;	;	PUNCT
fumecheng-519	52	24	b	b	X
fumecheng-519	52	25	)	)	PUNCT
fumecheng-519	52	26	deflected	deflect	VERB
fumecheng-519	52	27	differential	differential	ADJ
fumecheng-519	52	28	beam	beam	NOUN
fumecheng-519	52	29	element	element	NOUN
fumecheng-519	52	30	of	of	ADP
fumecheng-519	52	31	length	length	NOUN
fumecheng-519	52	32	dx	dx	PROPN
fumecheng-519	52	33	a	a	DET
fumecheng-519	52	34	beams	beam	NOUN
fumecheng-519	52	35	element	element	NOUN
fumecheng-519	52	36	of	of	ADP
fumecheng-519	52	37	length	length	NOUN
fumecheng-519	52	38	dx	dx	PROPN
fumecheng-519	52	39	between	between	ADP
fumecheng-519	52	40	two	two	NUM
fumecheng-519	52	41	cross	cross	ADJ
fumecheng-519	52	42	-	-	ADJ
fumecheng-519	52	43	sections	section	NOUN
fumecheng-519	52	44	taken	take	VERB
fumecheng-519	52	45	normal	normal	ADJ
fumecheng-519	52	46	to	to	ADP
fumecheng-519	52	47	the	the	DET
fumecheng-519	52	48	deflected	deflected	ADJ
fumecheng-519	52	49	axis	axis	NOUN
fumecheng-519	52	50	of	of	ADP
fumecheng-519	52	51	the	the	DET
fumecheng-519	52	52	beam	beam	NOUN
fumecheng-519	52	53	is	be	AUX
fumecheng-519	52	54	shown	show	VERB
fumecheng-519	52	55	in	in	ADP
fumecheng-519	52	56	fig	fig	NOUN
fumecheng-519	52	57	.	.	PUNCT
fumecheng-519	53	1	1b	1b	NUM
fumecheng-519	53	2	.	.	PUNCT
fumecheng-519	54	1	since	since	SCONJ
fumecheng-519	54	2	the	the	DET
fumecheng-519	54	3	slope	slope	NOUN
fumecheng-519	54	4	of	of	ADP
fumecheng-519	54	5	the	the	DET
fumecheng-519	54	6	beam	beam	NOUN
fumecheng-519	54	7	is	be	AUX
fumecheng-519	54	8	small	small	ADJ
fumecheng-519	54	9	,	,	PUNCT
fumecheng-519	54	10	the	the	DET
fumecheng-519	54	11	normal	normal	ADJ
fumecheng-519	54	12	forces	force	NOUN
fumecheng-519	54	13	acting	act	VERB
fumecheng-519	54	14	on	on	ADP
fumecheng-519	54	15	the	the	DET
fumecheng-519	54	16	sides	side	NOUN
fumecheng-519	54	17	of	of	ADP
fumecheng-519	54	18	the	the	DET
fumecheng-519	54	19	element	element	NOUN
fumecheng-519	54	20	can	can	AUX
fumecheng-519	54	21	be	be	AUX
fumecheng-519	54	22	taken	take	VERB
fumecheng-519	54	23	as	as	ADV
fumecheng-519	54	24	equal	equal	ADJ
fumecheng-519	54	25	to	to	ADP
fumecheng-519	54	26	axial	axial	ADJ
fumecheng-519	54	27	compressive	compressive	ADJ
fumecheng-519	54	28	force	force	PROPN
fumecheng-519	54	29	f.	f.	PROPN
fumecheng-519	54	30	shearing	shearing	PROPN
fumecheng-519	54	31	force	force	NOUN
fumecheng-519	54	32	ft	ft	NOUN
fumecheng-519	54	33	is	be	AUX
fumecheng-519	54	34	related	relate	VERB
fumecheng-519	54	35	to	to	ADP
fumecheng-519	54	36	the	the	DET
fumecheng-519	54	37	following	follow	VERB
fumecheng-519	54	38	relationship	relationship	NOUN
fumecheng-519	54	39	:	:	PUNCT
fumecheng-519	54	40			PROPN
fumecheng-519	54	41			NUM
fumecheng-519	54	42			PRON
fumecheng-519	54	43			PROPN
fumecheng-519	54	44			PROPN
fumecheng-519	54	45			NOUN
fumecheng-519	54	46			PROPN
fumecheng-519	54	47			ADJ
fumecheng-519	54	48			ADJ
fumecheng-519	54	49			NUM
fumecheng-519	54	50	x	x	SYM
fumecheng-519	54	51	v	v	NOUN
fumecheng-519	54	52	kgaft	kgaft	NOUN
fumecheng-519	54	53	(	(	PUNCT
fumecheng-519	54	54	1	1	X
fumecheng-519	54	55	)	)	PUNCT
fumecheng-519	54	56	where	where	SCONJ
fumecheng-519	54	57	v	v	NOUN
fumecheng-519	54	58	=	=	SYM
fumecheng-519	54	59	v(x	v(x	PROPN
fumecheng-519	54	60	,	,	PUNCT
fumecheng-519	54	61	t	t	PROPN
fumecheng-519	54	62	)	)	PUNCT
fumecheng-519	54	63	is	be	AUX
fumecheng-519	54	64	the	the	DET
fumecheng-519	54	65	displacement	displacement	NOUN
fumecheng-519	54	66	of	of	ADP
fumecheng-519	54	67	the	the	DET
fumecheng-519	54	68	cross	cross	NOUN
fumecheng-519	54	69	-	-	NOUN
fumecheng-519	54	70	section	section	NOUN
fumecheng-519	54	71	in	in	ADP
fumecheng-519	54	72	y	y	NOUN
fumecheng-519	54	73	-	-	PUNCT
fumecheng-519	54	74	direction	direction	NOUN
fumecheng-519	54	75	,	,	PUNCT
fumecheng-519	54	76	v/x	v/x	PROPN
fumecheng-519	54	77	is	be	AUX
fumecheng-519	54	78	the	the	DET
fumecheng-519	54	79	global	global	ADJ
fumecheng-519	54	80	rotation	rotation	NOUN
fumecheng-519	54	81	of	of	ADP
fumecheng-519	54	82	the	the	DET
fumecheng-519	54	83	cross	cross	NOUN
fumecheng-519	54	84	section	section	NOUN
fumecheng-519	54	85	,	,	PUNCT
fumecheng-519	54	86			NOUN
fumecheng-519	54	87	=	=	NOUN
fumecheng-519	54	88			NOUN
fumecheng-519	54	89	(	(	PUNCT
fumecheng-519	54	90	x	x	NOUN
fumecheng-519	54	91	,	,	PUNCT
fumecheng-519	54	92	t	t	PROPN
fumecheng-519	54	93	)	)	PUNCT
fumecheng-519	54	94	is	be	AUX
fumecheng-519	54	95	the	the	DET
fumecheng-519	54	96	bending	bend	VERB
fumecheng-519	54	97	rotation	rotation	NOUN
fumecheng-519	54	98	,	,	PUNCT
fumecheng-519	54	99	g	g	PROPN
fumecheng-519	54	100	is	be	AUX
fumecheng-519	54	101	the	the	DET
fumecheng-519	54	102	shear	shear	NOUN
fumecheng-519	54	103	modulus	modulus	NOUN
fumecheng-519	54	104	,	,	PUNCT
fumecheng-519	54	105	a	a	PRON
fumecheng-519	54	106	is	be	AUX
fumecheng-519	54	107	the	the	DET
fumecheng-519	54	108	area	area	NOUN
fumecheng-519	54	109	of	of	ADP
fumecheng-519	54	110	the	the	DET
fumecheng-519	54	111	beam	beam	NOUN
fumecheng-519	54	112	cross	cross	NOUN
fumecheng-519	54	113	-	-	NOUN
fumecheng-519	54	114	section	section	NOUN
fumecheng-519	54	115	,	,	PUNCT
fumecheng-519	54	116	and	and	CCONJ
fumecheng-519	54	117	k	k	PROPN
fumecheng-519	54	118	is	be	AUX
fumecheng-519	54	119	the	the	DET
fumecheng-519	54	120	shear	shear	NOUN
fumecheng-519	54	121	correction	correction	NOUN
fumecheng-519	54	122	factor	factor	NOUN
fumecheng-519	54	123	of	of	ADP
fumecheng-519	54	124	cross	cross	NOUN
fumecheng-519	54	125	-	-	NOUN
fumecheng-519	54	126	section	section	NOUN
fumecheng-519	54	127	.	.	PUNCT
fumecheng-519	55	1	analogously	analogously	ADV
fumecheng-519	55	2	,	,	PUNCT
fumecheng-519	55	3	the	the	DET
fumecheng-519	55	4	relationship	relationship	NOUN
fumecheng-519	55	5	between	between	ADP
fumecheng-519	55	6	bending	bend	VERB
fumecheng-519	55	7	moment	moment	NOUN
fumecheng-519	55	8	m	m	VERB
fumecheng-519	55	9	and	and	CCONJ
fumecheng-519	55	10	bending	bend	VERB
fumecheng-519	55	11	angles	angle	NOUN
fumecheng-519	55	12			NOUN
fumecheng-519	55	13	is	be	AUX
fumecheng-519	55	14	given	give	VERB
fumecheng-519	55	15	by	by	ADP
fumecheng-519	55	16	:	:	PUNCT
fumecheng-519	55	17	z	z	NOUN
fumecheng-519	55	18	m	m	VERB
fumecheng-519	55	19	ei	ei	NOUN
fumecheng-519	55	20	x	x	PUNCT
fumecheng-519	56	1			PUNCT
fumecheng-519	56	2			NUM
fumecheng-519	56	3			PROPN
fumecheng-519	56	4			NOUN
fumecheng-519	56	5	(	(	PUNCT
fumecheng-519	56	6	2	2	NUM
fumecheng-519	56	7	)	)	PUNCT
fumecheng-519	56	8	where	where	SCONJ
fumecheng-519	56	9	e	e	NOUN
fumecheng-519	56	10	is	be	AUX
fumecheng-519	56	11	the	the	DET
fumecheng-519	56	12	young‟s	young‟s	ADJ
fumecheng-519	56	13	modulus	modulus	NOUN
fumecheng-519	56	14	and	and	CCONJ
fumecheng-519	56	15	iz	iz	ADJ
fumecheng-519	56	16	is	be	AUX
fumecheng-519	56	17	the	the	DET
fumecheng-519	56	18	second	second	ADJ
fumecheng-519	56	19	moment	moment	NOUN
fumecheng-519	56	20	of	of	ADP
fumecheng-519	56	21	the	the	DET
fumecheng-519	56	22	area	area	NOUN
fumecheng-519	56	23	of	of	ADP
fumecheng-519	56	24	the	the	DET
fumecheng-519	56	25	crosssection	crosssection	NOUN
fumecheng-519	56	26	.	.	PUNCT
fumecheng-519	57	1	finally	finally	ADV
fumecheng-519	57	2	,	,	PUNCT
fumecheng-519	57	3	forces	force	NOUN
fumecheng-519	57	4	and	and	CCONJ
fumecheng-519	57	5	moments	moment	NOUN
fumecheng-519	57	6	of	of	ADP
fumecheng-519	57	7	inertia	inertia	NOUN
fumecheng-519	57	8	are	be	AUX
fumecheng-519	57	9	given	give	VERB
fumecheng-519	57	10	by	by	ADP
fumecheng-519	57	11	:	:	PUNCT
fumecheng-519	57	12	2	2	NUM
fumecheng-519	57	13	2	2	NUM
fumecheng-519	57	14	2	2	NUM
fumecheng-519	57	15	2	2	NUM
fumecheng-519	57	16	,	,	PUNCT
fumecheng-519	57	17	z	z	NOUN
fumecheng-519	57	18	w	w	NOUN
fumecheng-519	57	19	f	f	PROPN
fumecheng-519	58	1	a	a	DET
fumecheng-519	58	2	j	j	NOUN
fumecheng-519	58	3	i	i	PRON
fumecheng-519	58	4	t	t	PROPN
fumecheng-519	58	5	t	t	PROPN
fumecheng-519	58	6			X
fumecheng-519	58	7			ADP
fumecheng-519	58	8			ADJ
fumecheng-519	58	9			ADJ
fumecheng-519	58	10			PROPN
fumecheng-519	58	11			PROPN
fumecheng-519	58	12			PROPN
fumecheng-519	58	13			PROPN
fumecheng-519	58	14			PROPN
fumecheng-519	58	15			PROPN
fumecheng-519	58	16	,	,	PUNCT
fumecheng-519	58	17	(	(	PUNCT
fumecheng-519	58	18	3	3	X
fumecheng-519	58	19	)	)	PUNCT
fumecheng-519	58	20	264	264	NUM
fumecheng-519	58	21	g.	g.	NOUN
fumecheng-519	58	22	janevski	janevski	PROPN
fumecheng-519	58	23	,	,	PUNCT
fumecheng-519	58	24	m.	m.	NOUN
fumecheng-519	58	25	stamenković	stamenković	PROPN
fumecheng-519	58	26	,	,	PUNCT
fumecheng-519	58	27	m.	m.	NOUN
fumecheng-519	58	28	seabra	seabra	VERB
fumecheng-519	58	29	respectively	respectively	ADV
fumecheng-519	58	30	,	,	PUNCT
fumecheng-519	58	31	where	where	SCONJ
fumecheng-519	58	32			NOUN
fumecheng-519	58	33	is	be	AUX
fumecheng-519	58	34	the	the	DET
fumecheng-519	58	35	mass	mass	ADJ
fumecheng-519	58	36	density	density	NOUN
fumecheng-519	58	37	.	.	PUNCT
fumecheng-519	59	1	the	the	DET
fumecheng-519	59	2	dynamic	dynamic	ADJ
fumecheng-519	59	3	-	-	PUNCT
fumecheng-519	59	4	forces	force	NOUN
fumecheng-519	59	5	equilibrium	equilibrium	NOUN
fumecheng-519	59	6	conditions	condition	NOUN
fumecheng-519	59	7	of	of	ADP
fumecheng-519	59	8	these	these	DET
fumecheng-519	59	9	forces	force	NOUN
fumecheng-519	59	10	are	be	AUX
fumecheng-519	59	11	given	give	VERB
fumecheng-519	59	12	by	by	ADP
fumecheng-519	59	13	the	the	DET
fumecheng-519	59	14	following	follow	VERB
fumecheng-519	59	15	equations	equation	NOUN
fumecheng-519	59	16	:	:	PUNCT
fumecheng-519	59	17	2	2	NUM
fumecheng-519	59	18	2	2	NUM
fumecheng-519	59	19	2	2	NUM
fumecheng-519	59	20	2	2	NUM
fumecheng-519	59	21	2	2	NUM
fumecheng-519	59	22	2	2	NUM
fumecheng-519	59	23	0	0	NUM
fumecheng-519	59	24	v	v	NOUN
fumecheng-519	59	25	v	v	NUM
fumecheng-519	59	26	v	v	NOUN
fumecheng-519	59	27	m	m	PROPN
fumecheng-519	59	28	kga	kga	PROPN
fumecheng-519	59	29	f	f	PROPN
fumecheng-519	59	30	t	t	PROPN
fumecheng-519	59	31	x	x	PUNCT
fumecheng-519	59	32	x	x	PUNCT
fumecheng-519	59	33	x	x	X
fumecheng-519	59	34			PUNCT
fumecheng-519	59	35			ADJ
fumecheng-519	59	36			PROPN
fumecheng-519	59	37			SYM
fumecheng-519	59	38			PROPN
fumecheng-519	59	39			PROPN
fumecheng-519	59	40			PROPN
fumecheng-519	59	41			ADV
fumecheng-519	59	42			PUNCT
fumecheng-519	60	1			PROPN
fumecheng-519	60	2			ADJ
fumecheng-519	60	3			PROPN
fumecheng-519	60	4			PROPN
fumecheng-519	60	5			ADJ
fumecheng-519	60	6			NOUN
fumecheng-519	60	7	(	(	PUNCT
fumecheng-519	60	8	4	4	NUM
fumecheng-519	60	9	)	)	SYM
fumecheng-519	60	10	2	2	NUM
fumecheng-519	60	11	2	2	NUM
fumecheng-519	60	12	2	2	NUM
fumecheng-519	60	13	2	2	NUM
fumecheng-519	60	14	0	0	NUM
fumecheng-519	60	15	v	v	NOUN
fumecheng-519	60	16	i	i	PROPN
fumecheng-519	60	17	kga	kga	PROPN
fumecheng-519	60	18	k	k	PROPN
fumecheng-519	60	19	t	t	PROPN
fumecheng-519	60	20	x	x	PUNCT
fumecheng-519	60	21	x	x	X
fumecheng-519	60	22			NOUN
fumecheng-519	60	23			NOUN
fumecheng-519	60	24			DET
fumecheng-519	60	25			ADJ
fumecheng-519	60	26			PROPN
fumecheng-519	60	27			PROPN
fumecheng-519	60	28			PROPN
fumecheng-519	60	29			VERB
fumecheng-519	60	30			PROPN
fumecheng-519	60	31			NOUN
fumecheng-519	60	32			PUNCT
fumecheng-519	60	33			PROPN
fumecheng-519	60	34			ADJ
fumecheng-519	60	35			PROPN
fumecheng-519	60	36			ADJ
fumecheng-519	60	37			NOUN
fumecheng-519	60	38	(	(	PUNCT
fumecheng-519	60	39	5	5	NUM
fumecheng-519	60	40	)	)	PUNCT
fumecheng-519	60	41	where	where	SCONJ
fumecheng-519	60	42	m	m	VERB
fumecheng-519	60	43	=	=	PUNCT
fumecheng-519	60	44	a	a	PROPN
fumecheng-519	60	45	is	be	AUX
fumecheng-519	60	46	the	the	DET
fumecheng-519	60	47	mass	mass	NOUN
fumecheng-519	60	48	per	per	ADP
fumecheng-519	60	49	unit	unit	NOUN
fumecheng-519	60	50	length	length	NOUN
fumecheng-519	60	51	and	and	CCONJ
fumecheng-519	60	52	k	k	PROPN
fumecheng-519	60	53	=	=	NOUN
fumecheng-519	60	54	eiz	eiz	PROPN
fumecheng-519	60	55	is	be	AUX
fumecheng-519	60	56	the	the	DET
fumecheng-519	60	57	flexural	flexural	ADJ
fumecheng-519	60	58	rigidity	rigidity	NOUN
fumecheng-519	60	59	.	.	PUNCT
fumecheng-519	61	1	the	the	DET
fumecheng-519	61	2	equations	equation	NOUN
fumecheng-519	61	3	on	on	ADP
fumecheng-519	61	4	motion	motion	NOUN
fumecheng-519	61	5	(	(	PUNCT
fumecheng-519	61	6	4	4	NUM
fumecheng-519	61	7	-	-	SYM
fumecheng-519	61	8	5	5	NUM
fumecheng-519	61	9	)	)	PUNCT
fumecheng-519	61	10	,	,	PUNCT
fumecheng-519	61	11	which	which	PRON
fumecheng-519	61	12	are	be	AUX
fumecheng-519	61	13	coupled	couple	VERB
fumecheng-519	61	14	together	together	ADV
fumecheng-519	61	15	,	,	PUNCT
fumecheng-519	61	16	are	be	AUX
fumecheng-519	61	17	reduced	reduce	VERB
fumecheng-519	61	18	by	by	ADP
fumecheng-519	61	19	standard	standard	ADJ
fumecheng-519	61	20	procedure	procedure	NOUN
fumecheng-519	61	21	,	,	PUNCT
fumecheng-519	61	22	eliminating	eliminate	VERB
fumecheng-519	61	23			NOUN
fumecheng-519	61	24	,	,	PUNCT
fumecheng-519	61	25	to	to	ADP
fumecheng-519	61	26	the	the	DET
fumecheng-519	61	27	following	follow	VERB
fumecheng-519	61	28	fourth	fourth	ADJ
fumecheng-519	61	29	-	-	PUNCT
fumecheng-519	61	30	order	order	NOUN
fumecheng-519	61	31	partial	partial	ADJ
fumecheng-519	61	32	differential	differential	NOUN
fumecheng-519	61	33	equation	equation	NOUN
fumecheng-519	61	34	:	:	PUNCT
fumecheng-519	61	35	4	4	NUM
fumecheng-519	61	36	2	2	NUM
fumecheng-519	61	37	4	4	NUM
fumecheng-519	61	38	2	2	NUM
fumecheng-519	61	39	4	4	NUM
fumecheng-519	61	40	4	4	NUM
fumecheng-519	61	41	2	2	NUM
fumecheng-519	61	42	2	2	NUM
fumecheng-519	61	43	2	2	NUM
fumecheng-519	61	44	2	2	NUM
fumecheng-519	61	45	4	4	NUM
fumecheng-519	61	46	1	1	NUM
fumecheng-519	61	47	1	1	NUM
fumecheng-519	61	48	0z	0z	NOUN
fumecheng-519	61	49	z	z	NOUN
fumecheng-519	61	50	if	if	SCONJ
fumecheng-519	61	51	v	v	PROPN
fumecheng-519	61	52	v	v	X
fumecheng-519	61	53	f	f	X
fumecheng-519	61	54	e	e	NOUN
fumecheng-519	61	55	v	v	PROPN
fumecheng-519	61	56	v	v	NUM
fumecheng-519	61	57	v	v	NOUN
fumecheng-519	61	58	k	k	PROPN
fumecheng-519	61	59	f	f	X
fumecheng-519	62	1	i	i	PRON
fumecheng-519	62	2	m	m	VERB
fumecheng-519	62	3	kga	kga	NOUN
fumecheng-519	62	4	x	x	PROPN
fumecheng-519	62	5	x	x	SYM
fumecheng-519	62	6	kga	kga	PROPN
fumecheng-519	62	7	kg	kg	PROPN
fumecheng-519	63	1	x	x	SYM
fumecheng-519	63	2	t	t	NOUN
fumecheng-519	63	3	t	t	NOUN
fumecheng-519	63	4	kg	kg	X
fumecheng-519	63	5	t	t	PROPN
fumecheng-519	63	6			PROPN
fumecheng-519	63	7			ADJ
fumecheng-519	63	8			ADJ
fumecheng-519	63	9			PROPN
fumecheng-519	63	10			SYM
fumecheng-519	63	11			PROPN
fumecheng-519	63	12			NOUN
fumecheng-519	63	13			PROPN
fumecheng-519	63	14			PROPN
fumecheng-519	63	15			ADV
fumecheng-519	63	16			PUNCT
fumecheng-519	63	17			PROPN
fumecheng-519	63	18			PROPN
fumecheng-519	63	19			CCONJ
fumecheng-519	63	20			PUNCT
fumecheng-519	63	21			PUNCT
fumecheng-519	64	1			PROPN
fumecheng-519	64	2			PROPN
fumecheng-519	64	3			PROPN
fumecheng-519	64	4			ADJ
fumecheng-519	64	5			ADJ
fumecheng-519	64	6			ADJ
fumecheng-519	64	7			PROPN
fumecheng-519	64	8			PROPN
fumecheng-519	64	9			ADJ
fumecheng-519	64	10			NOUN
fumecheng-519	64	11			PROPN
fumecheng-519	64	12			NOUN
fumecheng-519	64	13	(	(	PUNCT
fumecheng-519	64	14	6	6	NUM
fumecheng-519	64	15	)	)	PUNCT
fumecheng-519	64	16	3	3	NUM
fumecheng-519	64	17	.	.	PUNCT
fumecheng-519	65	1	the	the	DET
fumecheng-519	65	2	frequency	frequency	NOUN
fumecheng-519	65	3	equation	equation	NOUN
fumecheng-519	65	4	of	of	ADP
fumecheng-519	65	5	the	the	DET
fumecheng-519	65	6	stepped	step	VERB
fumecheng-519	65	7	beam	beam	NOUN
fumecheng-519	65	8	in	in	ADP
fumecheng-519	65	9	this	this	DET
fumecheng-519	65	10	section	section	NOUN
fumecheng-519	65	11	of	of	ADP
fumecheng-519	65	12	the	the	DET
fumecheng-519	65	13	paper	paper	NOUN
fumecheng-519	65	14	a	a	DET
fumecheng-519	65	15	general	general	ADJ
fumecheng-519	65	16	theory	theory	NOUN
fumecheng-519	65	17	for	for	ADP
fumecheng-519	65	18	the	the	DET
fumecheng-519	65	19	determination	determination	NOUN
fumecheng-519	65	20	of	of	ADP
fumecheng-519	65	21	the	the	DET
fumecheng-519	65	22	natural	natural	ADJ
fumecheng-519	65	23	frequencies	frequency	NOUN
fumecheng-519	65	24	and	and	CCONJ
fumecheng-519	65	25	the	the	DET
fumecheng-519	65	26	critical	critical	ADJ
fumecheng-519	65	27	buckling	buckling	NOUN
fumecheng-519	65	28	load	load	NOUN
fumecheng-519	65	29	of	of	ADP
fumecheng-519	65	30	a	a	DET
fumecheng-519	65	31	beam	beam	NOUN
fumecheng-519	65	32	with	with	ADP
fumecheng-519	65	33	step	step	NOUN
fumecheng-519	65	34	change	change	NOUN
fumecheng-519	65	35	in	in	ADP
fumecheng-519	65	36	cross	cross	NOUN
fumecheng-519	65	37	-	-	NOUN
fumecheng-519	65	38	section	section	NOUN
fumecheng-519	65	39	is	be	AUX
fumecheng-519	65	40	given	give	VERB
fumecheng-519	65	41	.	.	PUNCT
fumecheng-519	66	1	ends	end	VERB
fumecheng-519	66	2	a	a	PRON
fumecheng-519	66	3	and	and	CCONJ
fumecheng-519	66	4	b	b	NOUN
fumecheng-519	66	5	are	be	AUX
fumecheng-519	66	6	on	on	ADP
fumecheng-519	66	7	classical	classical	ADJ
fumecheng-519	66	8	clamped	clamp	VERB
fumecheng-519	66	9	(	(	PUNCT
fumecheng-519	66	10	cl	cl	NOUN
fumecheng-519	66	11	)	)	PUNCT
fumecheng-519	66	12	,	,	PUNCT
fumecheng-519	66	13	pinned	pin	VERB
fumecheng-519	66	14	(	(	PUNCT
fumecheng-519	66	15	pn	pn	NOUN
fumecheng-519	66	16	)	)	PUNCT
fumecheng-519	66	17	and	and	CCONJ
fumecheng-519	66	18	free	free	ADJ
fumecheng-519	66	19	(	(	PUNCT
fumecheng-519	66	20	fr	fr	NOUN
fumecheng-519	66	21	)	)	PUNCT
fumecheng-519	66	22	supports	support	VERB
fumecheng-519	66	23	.	.	PUNCT
fumecheng-519	67	1	each	each	DET
fumecheng-519	67	2	beam	beam	NOUN
fumecheng-519	67	3	portion	portion	NOUN
fumecheng-519	67	4	is	be	AUX
fumecheng-519	67	5	made	make	VERB
fumecheng-519	67	6	of	of	ADP
fumecheng-519	67	7	some	some	DET
fumecheng-519	67	8	material	material	NOUN
fumecheng-519	67	9	with	with	ADP
fumecheng-519	67	10	young‟s	young‟s	NOUN
fumecheng-519	67	11	modulus	modulus	ADJ
fumecheng-519	67	12	e	e	NOUN
fumecheng-519	67	13	and	and	CCONJ
fumecheng-519	67	14	mass	mass	ADJ
fumecheng-519	67	15	density	density	NOUN
fumecheng-519	67	16			NOUN
fumecheng-519	67	17	,	,	PUNCT
fumecheng-519	67	18	and	and	CCONJ
fumecheng-519	67	19	has	have	VERB
fumecheng-519	67	20	a	a	DET
fumecheng-519	67	21	cross	cross	NOUN
fumecheng-519	67	22	-	-	NOUN
fumecheng-519	67	23	section	section	NOUN
fumecheng-519	67	24	with	with	ADP
fumecheng-519	67	25	a	a	DET
fumecheng-519	67	26	uniform	uniform	ADJ
fumecheng-519	67	27	cross	cross	NOUN
fumecheng-519	67	28	-	-	NOUN
fumecheng-519	67	29	section	section	NOUN
fumecheng-519	67	30	of	of	ADP
fumecheng-519	67	31	area	area	NOUN
fumecheng-519	67	32	ai	ai	VERB
fumecheng-519	67	33	and	and	CCONJ
fumecheng-519	67	34	moment	moment	VERB
fumecheng-519	67	35	inertia	inertia	PROPN
fumecheng-519	67	36	ii	ii	PROPN
fumecheng-519	67	37	.	.	PUNCT
fumecheng-519	68	1	the	the	DET
fumecheng-519	68	2	flexural	flexural	ADJ
fumecheng-519	68	3	rigidity	rigidity	NOUN
fumecheng-519	68	4	,	,	PUNCT
fumecheng-519	68	5	mass	mass	NOUN
fumecheng-519	68	6	per	per	ADP
fumecheng-519	68	7	unit	unit	NOUN
fumecheng-519	68	8	length	length	NOUN
fumecheng-519	68	9	and	and	CCONJ
fumecheng-519	68	10	the	the	DET
fumecheng-519	68	11	length	length	NOUN
fumecheng-519	68	12	of	of	ADP
fumecheng-519	68	13	the	the	DET
fumecheng-519	68	14	beam	beam	NOUN
fumecheng-519	68	15	portion	portion	NOUN
fumecheng-519	68	16	are	be	AUX
fumecheng-519	68	17	ki	ki	PROPN
fumecheng-519	68	18	,	,	PUNCT
fumecheng-519	68	19	mi	mi	PROPN
fumecheng-519	68	20	and	and	CCONJ
fumecheng-519	68	21	li	li	PROPN
fumecheng-519	68	22	.	.	PUNCT
fumecheng-519	69	1	the	the	DET
fumecheng-519	69	2	axial	axial	ADJ
fumecheng-519	69	3	force	force	NOUN
fumecheng-519	69	4	in	in	ADP
fumecheng-519	69	5	beam	beam	NOUN
fumecheng-519	69	6	portion	portion	NOUN
fumecheng-519	69	7	is	be	AUX
fumecheng-519	69	8	fi	fi	NOUN
fumecheng-519	69	9	.	.	PUNCT
fumecheng-519	70	1	the	the	DET
fumecheng-519	70	2	coordinate	coordinate	NOUN
fumecheng-519	70	3	systems	system	NOUN
fumecheng-519	70	4	with	with	ADP
fumecheng-519	70	5	origin	origin	NOUN
fumecheng-519	70	6	at	at	ADP
fumecheng-519	70	7	a	a	PRON
fumecheng-519	70	8	and	and	CCONJ
fumecheng-519	70	9	b	b	NOUN
fumecheng-519	70	10	are	be	AUX
fumecheng-519	70	11	in	in	ADP
fumecheng-519	70	12	opposite	opposite	ADJ
fumecheng-519	70	13	directions	direction	NOUN
fumecheng-519	70	14	.	.	PUNCT
fumecheng-519	71	1	fig	fig	NOUN
fumecheng-519	71	2	.	.	PUNCT
fumecheng-519	72	1	2	2	NUM
fumecheng-519	72	2	the	the	DET
fumecheng-519	72	3	coordinate	coordinate	NOUN
fumecheng-519	72	4	system	system	NOUN
fumecheng-519	72	5	and	and	CCONJ
fumecheng-519	72	6	notation	notation	NOUN
fumecheng-519	72	7	for	for	ADP
fumecheng-519	72	8	the	the	DET
fumecheng-519	72	9	stepped	step	VERB
fumecheng-519	72	10	beam	beam	NOUN
fumecheng-519	72	11	the	the	DET
fumecheng-519	72	12	dynamics	dynamic	NOUN
fumecheng-519	72	13	of	of	ADP
fumecheng-519	72	14	each	each	DET
fumecheng-519	72	15	beam	beam	NOUN
fumecheng-519	72	16	portion	portion	NOUN
fumecheng-519	72	17	are	be	AUX
fumecheng-519	72	18	treated	treat	VERB
fumecheng-519	72	19	separately	separately	ADV
fumecheng-519	72	20	.	.	PUNCT
fumecheng-519	73	1	if	if	SCONJ
fumecheng-519	73	2	we	we	PRON
fumecheng-519	73	3	apply	apply	VERB
fumecheng-519	73	4	the	the	DET
fumecheng-519	73	5	abovementioned	abovementioned	ADJ
fumecheng-519	73	6	procedure	procedure	NOUN
fumecheng-519	73	7	to	to	ADP
fumecheng-519	73	8	a	a	DET
fumecheng-519	73	9	differential	differential	ADJ
fumecheng-519	73	10	element	element	NOUN
fumecheng-519	73	11	of	of	ADP
fumecheng-519	73	12	each	each	DET
fumecheng-519	73	13	beam	beam	NOUN
fumecheng-519	73	14	portion	portion	NOUN
fumecheng-519	73	15	,	,	PUNCT
fumecheng-519	73	16	the	the	DET
fumecheng-519	73	17	following	follow	VERB
fumecheng-519	73	18	set	set	NOUN
fumecheng-519	73	19	of	of	ADP
fumecheng-519	73	20	coupled	couple	VERB
fumecheng-519	73	21	differential	differential	ADJ
fumecheng-519	73	22	equations	equation	NOUN
fumecheng-519	73	23	will	will	AUX
fumecheng-519	73	24	be	be	AUX
fumecheng-519	73	25	obtained	obtain	VERB
fumecheng-519	73	26	:	:	PUNCT
fumecheng-519	73	27	4	4	NUM
fumecheng-519	73	28	2	2	NUM
fumecheng-519	73	29	4	4	NUM
fumecheng-519	73	30	2	2	NUM
fumecheng-519	73	31	4	4	NUM
fumecheng-519	73	32	1	1	NUM
fumecheng-519	73	33	1	1	NUM
fumecheng-519	73	34	1	1	NUM
fumecheng-519	73	35	1	1	NUM
fumecheng-519	73	36	1	1	NUM
fumecheng-519	73	37	1	1	NUM
fumecheng-519	73	38	1	1	NUM
fumecheng-519	73	39	1	1	NUM
fumecheng-519	73	40	14	14	NUM
fumecheng-519	73	41	2	2	NUM
fumecheng-519	73	42	2	2	NUM
fumecheng-519	73	43	2	2	NUM
fumecheng-519	73	44	42	42	NUM
fumecheng-519	73	45	1	1	NUM
fumecheng-519	73	46	11	11	NUM
fumecheng-519	73	47	1	1	NUM
fumecheng-519	73	48	1	1	NUM
fumecheng-519	73	49	1	1	NUM
fumecheng-519	73	50	1	1	NUM
fumecheng-519	73	51	0	0	NUM
fumecheng-519	73	52	v	v	NUM
fumecheng-519	73	53	v	v	NUM
fumecheng-519	73	54	v	v	NOUN
fumecheng-519	73	55	v	v	INTJ
fumecheng-519	74	1	i	i	PRON
fumecheng-519	74	2	vf	vf	PROPN
fumecheng-519	74	3	f	f	PROPN
fumecheng-519	74	4	e	e	PROPN
fumecheng-519	74	5	ei	ei	X
fumecheng-519	74	6	f	f	X
fumecheng-519	75	1	i	i	PRON
fumecheng-519	75	2	m	m	PROPN
fumecheng-519	75	3	kga	kga	PROPN
fumecheng-519	75	4	kga	kga	PROPN
fumecheng-519	75	5	kg	kg	PROPN
fumecheng-519	75	6	t	t	NOUN
fumecheng-519	75	7	kg	kg	INTJ
fumecheng-519	75	8	tx	tx	INTJ
fumecheng-519	75	9	x	x	PUNCT
fumecheng-519	75	10	x	x	SYM
fumecheng-519	75	11	t	t	PROPN
fumecheng-519	75	12			NOUN
fumecheng-519	75	13			PROPN
fumecheng-519	75	14			NOUN
fumecheng-519	75	15			PROPN
fumecheng-519	75	16			ADJ
fumecheng-519	75	17			ADJ
fumecheng-519	75	18			ADJ
fumecheng-519	75	19			PROPN
fumecheng-519	75	20			PROPN
fumecheng-519	75	21			ADV
fumecheng-519	75	22			PUNCT
fumecheng-519	75	23			PROPN
fumecheng-519	75	24			PROPN
fumecheng-519	75	25			CCONJ
fumecheng-519	75	26			PUNCT
fumecheng-519	75	27			PUNCT
fumecheng-519	76	1			PROPN
fumecheng-519	76	2			PROPN
fumecheng-519	76	3			PROPN
fumecheng-519	76	4			PROPN
fumecheng-519	76	5			PROPN
fumecheng-519	76	6			PROPN
fumecheng-519	76	7			PROPN
fumecheng-519	76	8			ADJ
fumecheng-519	76	9			NOUN
fumecheng-519	76	10			PROPN
fumecheng-519	76	11			NOUN
fumecheng-519	76	12	(	(	PUNCT
fumecheng-519	76	13	7	7	NUM
fumecheng-519	76	14	)	)	SYM
fumecheng-519	76	15	4	4	NUM
fumecheng-519	76	16	2	2	NUM
fumecheng-519	76	17	4	4	NUM
fumecheng-519	76	18	2	2	NUM
fumecheng-519	76	19	4	4	NUM
fumecheng-519	76	20	2	2	NUM
fumecheng-519	76	21	2	2	NUM
fumecheng-519	76	22	2	2	NUM
fumecheng-519	76	23	2	2	NUM
fumecheng-519	76	24	2	2	NUM
fumecheng-519	76	25	2	2	NUM
fumecheng-519	76	26	2	2	NUM
fumecheng-519	76	27	2	2	NUM
fumecheng-519	76	28	24	24	NUM
fumecheng-519	76	29	2	2	NUM
fumecheng-519	76	30	2	2	NUM
fumecheng-519	76	31	2	2	NUM
fumecheng-519	76	32	42	42	NUM
fumecheng-519	76	33	2	2	NUM
fumecheng-519	76	34	22	22	NUM
fumecheng-519	76	35	2	2	NUM
fumecheng-519	76	36	2	2	NUM
fumecheng-519	76	37	1	1	NUM
fumecheng-519	76	38	1	1	NUM
fumecheng-519	76	39	0	0	NUM
fumecheng-519	76	40	v	v	NUM
fumecheng-519	76	41	v	v	NUM
fumecheng-519	76	42	v	v	NOUN
fumecheng-519	76	43	v	v	INTJ
fumecheng-519	77	1	i	i	PRON
fumecheng-519	77	2	vf	vf	PROPN
fumecheng-519	77	3	f	f	PROPN
fumecheng-519	77	4	e	e	PROPN
fumecheng-519	77	5	ei	ei	X
fumecheng-519	77	6	f	f	X
fumecheng-519	78	1	i	i	PRON
fumecheng-519	78	2	m	m	PROPN
fumecheng-519	78	3	kga	kga	PROPN
fumecheng-519	78	4	kga	kga	PROPN
fumecheng-519	78	5	kg	kg	PROPN
fumecheng-519	78	6	t	t	NOUN
fumecheng-519	78	7	kg	kg	INTJ
fumecheng-519	78	8	tx	tx	INTJ
fumecheng-519	78	9	x	x	PUNCT
fumecheng-519	78	10	x	x	SYM
fumecheng-519	78	11	t	t	PROPN
fumecheng-519	78	12			NOUN
fumecheng-519	78	13			PROPN
fumecheng-519	78	14			NOUN
fumecheng-519	78	15			PROPN
fumecheng-519	78	16			ADJ
fumecheng-519	78	17			ADJ
fumecheng-519	78	18			ADJ
fumecheng-519	78	19			PROPN
fumecheng-519	78	20			PROPN
fumecheng-519	78	21			ADV
fumecheng-519	78	22			PUNCT
fumecheng-519	78	23			PROPN
fumecheng-519	78	24			PROPN
fumecheng-519	78	25			CCONJ
fumecheng-519	78	26			PUNCT
fumecheng-519	78	27			PUNCT
fumecheng-519	79	1			PROPN
fumecheng-519	79	2			PROPN
fumecheng-519	79	3			PROPN
fumecheng-519	79	4			PROPN
fumecheng-519	79	5			PROPN
fumecheng-519	79	6			PROPN
fumecheng-519	79	7			PROPN
fumecheng-519	79	8			ADJ
fumecheng-519	79	9			NOUN
fumecheng-519	79	10			PROPN
fumecheng-519	79	11			NOUN
fumecheng-519	79	12	(	(	PUNCT
fumecheng-519	79	13	8)	8)	NUM
fumecheng-519	79	14	the	the	DET
fumecheng-519	79	15	standard	standard	ADJ
fumecheng-519	79	16	approach	approach	NOUN
fumecheng-519	79	17	to	to	ADP
fumecheng-519	79	18	solving	solve	VERB
fumecheng-519	79	19	eqs	eqs	PROPN
fumecheng-519	79	20	.	.	PUNCT
fumecheng-519	80	1	(	(	PUNCT
fumecheng-519	80	2	7	7	NUM
fumecheng-519	80	3	,	,	PUNCT
fumecheng-519	80	4	8)	8)	NUM
fumecheng-519	80	5	is	be	AUX
fumecheng-519	80	6	by	by	ADP
fumecheng-519	80	7	separating	separate	VERB
fumecheng-519	80	8	the	the	DET
fumecheng-519	80	9	variables	variable	NOUN
fumecheng-519	80	10	,	,	PUNCT
fumecheng-519	80	11	and	and	CCONJ
fumecheng-519	80	12	the	the	DET
fumecheng-519	80	13	same	same	ADJ
fumecheng-519	80	14	procedure	procedure	NOUN
fumecheng-519	80	15	may	may	AUX
fumecheng-519	80	16	be	be	AUX
fumecheng-519	80	17	applied	apply	VERB
fumecheng-519	80	18	here	here	ADV
fumecheng-519	80	19	.	.	PUNCT
fumecheng-519	81	1	thus	thus	ADV
fumecheng-519	81	2	,	,	PUNCT
fumecheng-519	81	3	assuming	assume	VERB
fumecheng-519	81	4	that	that	SCONJ
fumecheng-519	81	5	:	:	PUNCT
fumecheng-519	81	6	critical	critical	ADJ
fumecheng-519	81	7	load	load	NOUN
fumecheng-519	81	8	parameter	parameter	NOUN
fumecheng-519	81	9	of	of	ADP
fumecheng-519	81	10	a	a	DET
fumecheng-519	81	11	timoshenko	timoshenko	ADJ
fumecheng-519	81	12	beam	beam	NOUN
fumecheng-519	81	13	with	with	ADP
fumecheng-519	81	14	one	one	NUM
fumecheng-519	81	15	-	-	PUNCT
fumecheng-519	81	16	step	step	NOUN
fumecheng-519	81	17	change	change	NOUN
fumecheng-519	81	18	in	in	ADP
fumecheng-519	81	19	cross	cross	NOUN
fumecheng-519	81	20	section	section	NOUN
fumecheng-519	81	21	265	265	NUM
fumecheng-519	81	22	(	(	PUNCT
fumecheng-519	81	23	,	,	PUNCT
fumecheng-519	81	24	)	)	PUNCT
fumecheng-519	81	25	(	(	PUNCT
fumecheng-519	81	26	)	)	PUNCT
fumecheng-519	81	27	(	(	PUNCT
fumecheng-519	81	28	)	)	PUNCT
fumecheng-519	81	29	,	,	PUNCT
fumecheng-519	81	30	1,2	1,2	NUM
fumecheng-519	81	31	,	,	PUNCT
fumecheng-519	81	32	i	i	PRON
fumecheng-519	81	33	i	i	PRON
fumecheng-519	81	34	i	i	PRON
fumecheng-519	81	35	i	i	PRON
fumecheng-519	81	36	v	v	VERB
fumecheng-519	81	37	x	x	X
fumecheng-519	81	38	t	t	NOUN
fumecheng-519	81	39	y	y	PROPN
fumecheng-519	81	40	x	x	SYM
fumecheng-519	81	41	t	t	PROPN
fumecheng-519	81	42	t	t	PROPN
fumecheng-519	81	43	i	i	NOUN
fumecheng-519	81	44			PROPN
fumecheng-519	81	45	(	(	PUNCT
fumecheng-519	81	46	9	9	NUM
fumecheng-519	81	47	)	)	PUNCT
fumecheng-519	81	48	where	where	SCONJ
fumecheng-519	81	49	yi(xi	yi(xi	PROPN
fumecheng-519	81	50	)	)	PUNCT
fumecheng-519	81	51	,	,	PUNCT
fumecheng-519	81	52	are	be	AUX
fumecheng-519	81	53	the	the	DET
fumecheng-519	81	54	known	know	VERB
fumecheng-519	81	55	mode	mode	NOUN
fumecheng-519	81	56	shape	shape	NOUN
fumecheng-519	81	57	functions	function	NOUN
fumecheng-519	81	58	which	which	PRON
fumecheng-519	81	59	will	will	AUX
fumecheng-519	81	60	be	be	AUX
fumecheng-519	81	61	determined	determine	VERB
fumecheng-519	81	62	on	on	ADP
fumecheng-519	81	63	the	the	DET
fumecheng-519	81	64	basis	basis	NOUN
fumecheng-519	81	65	of	of	ADP
fumecheng-519	81	66	the	the	DET
fumecheng-519	81	67	type	type	NOUN
fumecheng-519	81	68	of	of	ADP
fumecheng-519	81	69	beam	beam	NOUN
fumecheng-519	81	70	supports	support	NOUN
fumecheng-519	81	71	.	.	PUNCT
fumecheng-519	82	1	assuming	assume	VERB
fumecheng-519	82	2	time	time	NOUN
fumecheng-519	82	3	harmonic	harmonic	ADJ
fumecheng-519	82	4	motion	motion	NOUN
fumecheng-519	82	5	,	,	PUNCT
fumecheng-519	82	6	the	the	DET
fumecheng-519	82	7	unknown	unknown	ADJ
fumecheng-519	82	8	time	time	NOUN
fumecheng-519	82	9	function	function	NOUN
fumecheng-519	82	10	can	can	AUX
fumecheng-519	82	11	be	be	AUX
fumecheng-519	82	12	assumed	assume	VERB
fumecheng-519	82	13	to	to	PART
fumecheng-519	82	14	have	have	VERB
fumecheng-519	82	15	the	the	DET
fumecheng-519	82	16	following	follow	VERB
fumecheng-519	82	17	form	form	NOUN
fumecheng-519	82	18	:	:	PUNCT
fumecheng-519	82	19	(	(	PUNCT
fumecheng-519	82	20	)	)	PUNCT
fumecheng-519	82	21	,	,	PUNCT
fumecheng-519	82	22	1	1	X
fumecheng-519	82	23	,	,	PUNCT
fumecheng-519	82	24	j	j	PROPN
fumecheng-519	83	1	tt	tt	PROPN
fumecheng-519	83	2	t	t	PROPN
fumecheng-519	83	3	e	e	PROPN
fumecheng-519	83	4	j	j	PROPN
fumecheng-519	83	5			PROPN
fumecheng-519	83	6			PROPN
fumecheng-519	83	7	(	(	PUNCT
fumecheng-519	83	8	10	10	NUM
fumecheng-519	83	9	)	)	PUNCT
fumecheng-519	83	10	where	where	SCONJ
fumecheng-519	83	11			PROPN
fumecheng-519	83	12	denotes	denote	VERB
fumecheng-519	83	13	the	the	DET
fumecheng-519	83	14	circular	circular	ADJ
fumecheng-519	83	15	natural	natural	ADJ
fumecheng-519	83	16	frequency	frequency	NOUN
fumecheng-519	83	17	of	of	ADP
fumecheng-519	83	18	the	the	DET
fumecheng-519	83	19	system	system	NOUN
fumecheng-519	83	20	.	.	PUNCT
fumecheng-519	84	1	to	to	PART
fumecheng-519	84	2	express	express	VERB
fumecheng-519	84	3	the	the	DET
fumecheng-519	84	4	set	set	NOUN
fumecheng-519	84	5	of	of	ADP
fumecheng-519	84	6	eqs	eqs	PROPN
fumecheng-519	84	7	.	.	PUNCT
fumecheng-519	85	1	(	(	PUNCT
fumecheng-519	85	2	7	7	NUM
fumecheng-519	85	3	-	-	SYM
fumecheng-519	85	4	8)	8)	NUM
fumecheng-519	85	5	in	in	ADP
fumecheng-519	85	6	the	the	DET
fumecheng-519	85	7	dimensionless	dimensionless	NOUN
fumecheng-519	85	8	form	form	NOUN
fumecheng-519	85	9	one	one	NUM
fumecheng-519	85	10	defines	define	NOUN
fumecheng-519	85	11	dimensionless	dimensionless	NOUN
fumecheng-519	85	12	abscissas	abscissa	NOUN
fumecheng-519	85	13	xi	xi	PROPN
fumecheng-519	85	14	,	,	PUNCT
fumecheng-519	85	15	amplitude	amplitude	NOUN
fumecheng-519	85	16	yi	yi	NOUN
fumecheng-519	85	17	and	and	CCONJ
fumecheng-519	85	18	step	step	NOUN
fumecheng-519	85	19	position	position	NOUN
fumecheng-519	85	20	parameter	parameter	NOUN
fumecheng-519	85	21	ri	ri	PROPN
fumecheng-519	85	22	as	as	SCONJ
fumecheng-519	85	23	follows	follow	VERB
fumecheng-519	85	24	:	:	PUNCT
fumecheng-519	85	25	,	,	PUNCT
fumecheng-519	85	26	,	,	PUNCT
fumecheng-519	85	27	,	,	PUNCT
fumecheng-519	85	28	1,2,i	1,2,i	X
fumecheng-519	86	1	i	i	PRON
fumecheng-519	86	2	i	i	PRON
fumecheng-519	87	1	i	i	PRON
fumecheng-519	87	2	i	i	PRON
fumecheng-519	88	1	i	i	VERB
fumecheng-519	88	2	x	x	VERB
fumecheng-519	89	1	y	y	NOUN
fumecheng-519	89	2	l	l	NOUN
fumecheng-519	89	3	x	x	PUNCT
fumecheng-519	90	1	y	y	NOUN
fumecheng-519	90	2	r	r	NOUN
fumecheng-519	91	1	i	i	NOUN
fumecheng-519	91	2	l	l	NOUN
fumecheng-519	91	3	l	l	X
fumecheng-519	91	4	l	l	NOUN
fumecheng-519	92	1			NOUN
fumecheng-519	92	2			ADJ
fumecheng-519	93	1			NOUN
fumecheng-519	93	2			NOUN
fumecheng-519	93	3	(	(	PUNCT
fumecheng-519	93	4	11	11	NUM
fumecheng-519	93	5	)	)	PUNCT
fumecheng-519	93	6	also	also	ADV
fumecheng-519	93	7	,	,	PUNCT
fumecheng-519	93	8	adopt	adopt	VERB
fumecheng-519	93	9	the	the	DET
fumecheng-519	93	10	“	"	PUNCT
fumecheng-519	93	11	reference	reference	NOUN
fumecheng-519	93	12	beam	beam	NOUN
fumecheng-519	93	13	”	"	PUNCT
fumecheng-519	93	14	with	with	ADP
fumecheng-519	93	15	the	the	DET
fumecheng-519	93	16	following	follow	VERB
fumecheng-519	93	17	characteristics	characteristic	NOUN
fumecheng-519	93	18	:	:	PUNCT
fumecheng-519	93	19	area	area	NOUN
fumecheng-519	93	20	of	of	ADP
fumecheng-519	93	21	the	the	DET
fumecheng-519	93	22	beam	beam	NOUN
fumecheng-519	93	23	cross	cross	ADJ
fumecheng-519	93	24	-	-	PROPN
fumecheng-519	93	25	section	section	ADJ
fumecheng-519	93	26	ar	ar	PROPN
fumecheng-519	93	27	,	,	PUNCT
fumecheng-519	93	28	length	length	NOUN
fumecheng-519	93	29	l	l	NOUN
fumecheng-519	93	30	,	,	PUNCT
fumecheng-519	93	31	mass	mass	NOUN
fumecheng-519	93	32	per	per	ADP
fumecheng-519	93	33	unit	unit	NOUN
fumecheng-519	93	34	mr	mr	PROPN
fumecheng-519	93	35	and	and	CCONJ
fumecheng-519	93	36	flexural	flexural	ADJ
fumecheng-519	93	37	rigidity	rigidity	PROPN
fumecheng-519	93	38	eir	eir	PROPN
fumecheng-519	93	39	.	.	PUNCT
fumecheng-519	94	1	then	then	ADV
fumecheng-519	94	2	we	we	PRON
fumecheng-519	94	3	can	can	AUX
fumecheng-519	94	4	define	define	VERB
fumecheng-519	94	5	dimensionless	dimensionless	ADJ
fumecheng-519	94	6	flexural	flexural	ADJ
fumecheng-519	94	7	rigidity	rigidity	NOUN
fumecheng-519	94	8	ratio	ratio	NOUN
fumecheng-519	94	9	i	i	ADV
fumecheng-519	94	10	,	,	PUNCT
fumecheng-519	94	11	mass	mass	NOUN
fumecheng-519	94	12	per	per	ADP
fumecheng-519	94	13	unit	unit	NOUN
fumecheng-519	94	14	ratio	ratio	NOUN
fumecheng-519	94	15	i	i	PROPN
fumecheng-519	94	16	and	and	CCONJ
fumecheng-519	94	17	dimensionless	dimensionless	NOUN
fumecheng-519	94	18	axial	axial	ADJ
fumecheng-519	94	19	force	force	NOUN
fumecheng-519	94	20			NOUN
fumecheng-519	94	21	in	in	ADP
fumecheng-519	94	22	the	the	DET
fumecheng-519	94	23	form	form	NOUN
fumecheng-519	94	24	:	:	PUNCT
fumecheng-519	94	25	2	2	NUM
fumecheng-519	94	26	,	,	PUNCT
fumecheng-519	94	27	,	,	PUNCT
fumecheng-519	94	28	,	,	PUNCT
fumecheng-519	94	29	1,2.i	1,2.i	PROPN
fumecheng-519	94	30	i	i	NOUN
fumecheng-519	95	1	i	i	PRON
fumecheng-519	96	1	i	i	VERB
fumecheng-519	96	2	r	r	NOUN
fumecheng-519	96	3	r	r	NOUN
fumecheng-519	96	4	r	r	NOUN
fumecheng-519	96	5	ei	ei	NOUN
fumecheng-519	96	6	m	m	NOUN
fumecheng-519	96	7	fl	fl	INTJ
fumecheng-519	97	1	i	i	INTJ
fumecheng-519	97	2	ei	ei	VERB
fumecheng-519	97	3	m	m	VERB
fumecheng-519	97	4	ei	ei	NOUN
fumecheng-519	97	5			NOUN
fumecheng-519	97	6			NOUN
fumecheng-519	97	7			VERB
fumecheng-519	97	8			NUM
fumecheng-519	98	1			ADJ
fumecheng-519	99	1			NOUN
fumecheng-519	100	1	(	(	PUNCT
fumecheng-519	100	2	12	12	NUM
fumecheng-519	100	3	)	)	PUNCT
fumecheng-519	100	4	introducing	introduce	VERB
fumecheng-519	100	5	the	the	DET
fumecheng-519	100	6	general	general	ADJ
fumecheng-519	100	7	solutions	solution	NOUN
fumecheng-519	100	8	(	(	PUNCT
fumecheng-519	100	9	9	9	NUM
fumecheng-519	100	10	)	)	PUNCT
fumecheng-519	100	11	into	into	ADP
fumecheng-519	100	12	eqs	eqs	PROPN
fumecheng-519	100	13	.	.	PUNCT
fumecheng-519	101	1	(	(	PUNCT
fumecheng-519	101	2	7	7	NUM
fumecheng-519	101	3	-	-	SYM
fumecheng-519	101	4	8)	8)	NUM
fumecheng-519	101	5	,	,	PUNCT
fumecheng-519	101	6	considering	consider	VERB
fumecheng-519	101	7	dimensionless	dimensionless	ADJ
fumecheng-519	101	8	values	value	NOUN
fumecheng-519	101	9	,	,	PUNCT
fumecheng-519	101	10	one	one	PRON
fumecheng-519	101	11	gets	get	VERB
fumecheng-519	101	12	the	the	DET
fumecheng-519	101	13	system	system	NOUN
fumecheng-519	101	14	of	of	ADP
fumecheng-519	101	15	dimensionless	dimensionless	NOUN
fumecheng-519	101	16	differential	differential	ADJ
fumecheng-519	101	17	equations	equation	NOUN
fumecheng-519	101	18	:	:	PUNCT
fumecheng-519	101	19	4	4	NUM
fumecheng-519	101	20	2	2	NUM
fumecheng-519	101	21	4	4	NUM
fumecheng-519	101	22	4	4	NUM
fumecheng-519	101	23	2	2	NUM
fumecheng-519	101	24	4	4	NUM
fumecheng-519	101	25	2	2	NUM
fumecheng-519	101	26	4	4	NUM
fumecheng-519	101	27	(	(	PUNCT
fumecheng-519	101	28	)	)	PUNCT
fumecheng-519	101	29	(	(	PUNCT
fumecheng-519	101	30	)	)	PUNCT
fumecheng-519	101	31	1	1	NUM
fumecheng-519	101	32	1	1	NUM
fumecheng-519	101	33	1	1	NUM
fumecheng-519	101	34	1	1	NUM
fumecheng-519	101	35	(	(	PUNCT
fumecheng-519	101	36	)	)	PUNCT
fumecheng-519	101	37	0	0	NUM
fumecheng-519	102	1	,	,	PUNCT
fumecheng-519	103	1	i	i	PRON
fumecheng-519	104	1	i	i	PRON
fumecheng-519	105	1	i	i	PRON
fumecheng-519	106	1	i	i	INTJ
fumecheng-519	107	1	i	i	VERB
fumecheng-519	108	1	r	r	NOUN
fumecheng-519	108	2	r	r	NOUN
fumecheng-519	108	3	ri	ri	NOUN
fumecheng-519	109	1	r	r	NOUN
fumecheng-519	109	2	i	i	PRON
fumecheng-519	110	1	i	i	PRON
fumecheng-519	110	2	i	i	PRON
fumecheng-519	111	1	i	i	PRON
fumecheng-519	112	1	i	i	INTJ
fumecheng-519	113	1	i	i	VERB
fumecheng-519	114	1	r	r	NOUN
fumecheng-519	114	2	r	r	NOUN
fumecheng-519	114	3	r	r	NOUN
fumecheng-519	115	1	i	i	PRON
fumecheng-519	116	1	i	i	PRON
fumecheng-519	117	1	i	i	VERB
fumecheng-519	118	1	d	d	VERB
fumecheng-519	118	2	y	y	NOUN
fumecheng-519	118	3	x	x	PUNCT
fumecheng-519	119	1	d	d	X
fumecheng-519	119	2	y	y	PROPN
fumecheng-519	119	3	x	x	SYM
fumecheng-519	119	4	k	k	PROPN
fumecheng-519	119	5	dx	dx	PROPN
fumecheng-519	120	1	k	k	PROPN
fumecheng-519	120	2	dx	dx	PROPN
fumecheng-519	120	3	y	y	PROPN
fumecheng-519	120	4	x	x	X
fumecheng-519	120	5	k	k	PROPN
fumecheng-519	120	6			NOUN
fumecheng-519	120	7			NOUN
fumecheng-519	120	8			NOUN
fumecheng-519	120	9			NOUN
fumecheng-519	120	10			PROPN
fumecheng-519	120	11			NUM
fumecheng-519	120	12			NOUN
fumecheng-519	120	13			NUM
fumecheng-519	120	14			NUM
fumecheng-519	120	15			NUM
fumecheng-519	120	16			NOUN
fumecheng-519	120	17			NOUN
fumecheng-519	120	18			NOUN
fumecheng-519	120	19			NOUN
fumecheng-519	120	20			NUM
fumecheng-519	120	21			NOUN
fumecheng-519	120	22			NOUN
fumecheng-519	120	23			NOUN
fumecheng-519	120	24			VERB
fumecheng-519	121	1			PROPN
fumecheng-519	121	2			PROPN
fumecheng-519	121	3			NOUN
fumecheng-519	121	4			NOUN
fumecheng-519	121	5			NUM
fumecheng-519	121	6			NOUN
fumecheng-519	121	7			VERB
fumecheng-519	121	8			X
fumecheng-519	121	9			PUNCT
fumecheng-519	121	10			X
fumecheng-519	121	11			NOUN
fumecheng-519	121	12			PROPN
fumecheng-519	121	13			PROPN
fumecheng-519	121	14			PROPN
fumecheng-519	121	15			PROPN
fumecheng-519	122	1			PROPN
fumecheng-519	122	2			PROPN
fumecheng-519	122	3			ADJ
fumecheng-519	122	4			VERB
fumecheng-519	122	5			NOUN
fumecheng-519	122	6			PROPN
fumecheng-519	123	1			PROPN
fumecheng-519	123	2			NOUN
fumecheng-519	123	3			NOUN
fumecheng-519	123	4			PROPN
fumecheng-519	123	5			PROPN
fumecheng-519	123	6			PUNCT
fumecheng-519	123	7			PROPN
fumecheng-519	123	8			PROPN
fumecheng-519	123	9			NOUN
fumecheng-519	123	10	(	(	PUNCT
fumecheng-519	123	11	13	13	NUM
fumecheng-519	123	12	)	)	PUNCT
fumecheng-519	123	13	where	where	SCONJ
fumecheng-519	123	14	6.2	6.2	NUM
fumecheng-519	123	15	g	g	NOUN
fumecheng-519	123	16	e	e	NOUN
fumecheng-519	123	17	.	.	PUNCT
fumecheng-519	124	1	in	in	ADP
fumecheng-519	124	2	eq	eq	ADP
fumecheng-519	124	3	.	.	PUNCT
fumecheng-519	124	4	(	(	PUNCT
fumecheng-519	124	5	13	13	NUM
fumecheng-519	124	6	)	)	PUNCT
fumecheng-519	124	7	r	r	PROPN
fumecheng-519	124	8	is	be	AUX
fumecheng-519	124	9	the	the	DET
fumecheng-519	124	10	natural	natural	ADJ
fumecheng-519	124	11	frequency	frequency	NOUN
fumecheng-519	124	12	parameter	parameter	NOUN
fumecheng-519	124	13	and	and	CCONJ
fumecheng-519	124	14	r	r	NOUN
fumecheng-519	124	15	is	be	AUX
fumecheng-519	124	16	the	the	DET
fumecheng-519	124	17	slenderness	slenderness	ADJ
fumecheng-519	124	18	ratio	ratio	NOUN
fumecheng-519	124	19	of	of	ADP
fumecheng-519	124	20	the	the	DET
fumecheng-519	124	21	beam	beam	NOUN
fumecheng-519	124	22	:	:	PUNCT
fumecheng-519	124	23	24	24	NUM
fumecheng-519	124	24	4	4	NUM
fumecheng-519	124	25	2	2	NUM
fumecheng-519	124	26	2	2	NUM
fumecheng-519	124	27	,	,	PUNCT
fumecheng-519	124	28	,	,	PUNCT
fumecheng-519	125	1	r	r	NOUN
fumecheng-519	125	2	r	r	NOUN
fumecheng-519	125	3	r	r	NOUN
fumecheng-519	125	4	r	r	NOUN
fumecheng-519	125	5	r	r	NOUN
fumecheng-519	125	6	r	r	NOUN
fumecheng-519	125	7	r	r	NOUN
fumecheng-519	125	8	m	m	NOUN
fumecheng-519	125	9	l	l	NOUN
fumecheng-519	125	10	i	i	PRON
fumecheng-519	126	1	i	i	PRON
fumecheng-519	126	2	ei	ei	VERB
fumecheng-519	126	3	a	a	DET
fumecheng-519	126	4	l	l	NOUN
fumecheng-519	126	5	l	l	NOUN
fumecheng-519	126	6			NOUN
fumecheng-519	126	7			PROPN
fumecheng-519	126	8			NUM
fumecheng-519	126	9			NOUN
fumecheng-519	126	10			NOUN
fumecheng-519	126	11			NOUN
fumecheng-519	127	1			NUM
fumecheng-519	128	1			NOUN
fumecheng-519	129	1			PROPN
fumecheng-519	129	2			PROPN
fumecheng-519	130	1			PROPN
fumecheng-519	130	2			NOUN
fumecheng-519	130	3	(	(	PUNCT
fumecheng-519	130	4	14	14	NUM
fumecheng-519	130	5	)	)	PUNCT
fumecheng-519	130	6	where	where	SCONJ
fumecheng-519	130	7	ir	ir	PROPN
fumecheng-519	130	8	is	be	AUX
fumecheng-519	130	9	the	the	DET
fumecheng-519	130	10	radius	radius	NOUN
fumecheng-519	130	11	of	of	ADP
fumecheng-519	130	12	gyration	gyration	NOUN
fumecheng-519	130	13	of	of	ADP
fumecheng-519	130	14	the	the	DET
fumecheng-519	130	15	reference	reference	NOUN
fumecheng-519	130	16	beam	beam	NOUN
fumecheng-519	130	17	.	.	PUNCT
fumecheng-519	131	1	the	the	DET
fumecheng-519	131	2	solutions	solution	NOUN
fumecheng-519	131	3	of	of	ADP
fumecheng-519	131	4	eq	eq	PROPN
fumecheng-519	131	5	.	.	PUNCT
fumecheng-519	132	1	(	(	PUNCT
fumecheng-519	132	2	13	13	NUM
fumecheng-519	132	3	)	)	PUNCT
fumecheng-519	132	4	are	be	AUX
fumecheng-519	132	5	assumed	assume	VERB
fumecheng-519	132	6	to	to	PART
fumecheng-519	132	7	be	be	AUX
fumecheng-519	132	8	:	:	PUNCT
fumecheng-519	132	9			NOUN
fumecheng-519	132	10			PROPN
fumecheng-519	132	11	(	(	PUNCT
fumecheng-519	132	12	)	)	PUNCT
fumecheng-519	132	13	,	,	PUNCT
fumecheng-519	132	14	1,2.i	1,2.i	NUM
fumecheng-519	132	15	iu	iu	NOUN
fumecheng-519	132	16	x	x	PROPN
fumecheng-519	132	17	i	i	PRON
fumecheng-519	132	18	i	i	PRON
fumecheng-519	133	1	i	i	VERB
fumecheng-519	133	2	y	y	VERB
fumecheng-519	133	3	x	x	SYM
fumecheng-519	133	4	ae	ae	PROPN
fumecheng-519	133	5	i	i	VERB
fumecheng-519	133	6			PROPN
fumecheng-519	133	7	(	(	PUNCT
fumecheng-519	133	8	15	15	NUM
fumecheng-519	133	9	)	)	PUNCT
fumecheng-519	133	10	for	for	ADP
fumecheng-519	133	11	the	the	DET
fumecheng-519	133	12	non	non	ADJ
fumecheng-519	133	13	-	-	ADJ
fumecheng-519	133	14	trivial	trivial	ADJ
fumecheng-519	133	15	solution	solution	NOUN
fumecheng-519	133	16	,	,	PUNCT
fumecheng-519	133	17	we	we	PRON
fumecheng-519	133	18	can	can	AUX
fumecheng-519	133	19	determine	determine	VERB
fumecheng-519	133	20	ui	ui	PROPN
fumecheng-519	133	21	as	as	ADP
fumecheng-519	133	22	the	the	DET
fumecheng-519	133	23	solution	solution	NOUN
fumecheng-519	133	24	of	of	ADP
fumecheng-519	133	25	the	the	DET
fumecheng-519	133	26	characteristic	characteristic	ADJ
fumecheng-519	133	27	equation	equation	NOUN
fumecheng-519	133	28	in	in	ADP
fumecheng-519	133	29	the	the	DET
fumecheng-519	133	30	form	form	NOUN
fumecheng-519	133	31	:	:	PUNCT
fumecheng-519	133	32	2	2	NUM
fumecheng-519	133	33	2	2	NUM
fumecheng-519	133	34	2	2	NUM
fumecheng-519	133	35	4	4	NUM
fumecheng-519	133	36	0	0	NUM
fumecheng-519	133	37	4	4	NUM
fumecheng-519	133	38	4	4	NUM
fumecheng-519	133	39	,	,	PUNCT
fumecheng-519	133	40	1,2	1,2	NUM
fumecheng-519	133	41	,	,	PUNCT
fumecheng-519	133	42	2	2	NUM
fumecheng-519	134	1	i	i	PRON
fumecheng-519	134	2	i	i	PRON
fumecheng-519	135	1	i	i	PRON
fumecheng-519	135	2	i	i	PRON
fumecheng-519	136	1	i	i	PRON
fumecheng-519	136	2	i	i	PRON
fumecheng-519	136	3	u	u	VERB
fumecheng-519	137	1	i	i	PROPN
fumecheng-519	137	2			PROPN
fumecheng-519	137	3			PROPN
fumecheng-519	137	4			PUNCT
fumecheng-519	137	5			NOUN
fumecheng-519	137	6			NOUN
fumecheng-519	137	7			X
fumecheng-519	138	1			NUM
fumecheng-519	139	1			PROPN
fumecheng-519	139	2			NUM
fumecheng-519	139	3			X
fumecheng-519	139	4	(	(	PUNCT
fumecheng-519	139	5	16	16	NUM
fumecheng-519	139	6	)	)	PUNCT
fumecheng-519	139	7	where	where	SCONJ
fumecheng-519	139	8	:	:	PUNCT
fumecheng-519	139	9	266	266	NUM
fumecheng-519	139	10	g.	g.	NOUN
fumecheng-519	139	11	janevski	janevski	PROPN
fumecheng-519	139	12	,	,	PUNCT
fumecheng-519	139	13	m.	m.	NOUN
fumecheng-519	139	14	stamenković	stamenković	PROPN
fumecheng-519	139	15	,	,	PUNCT
fumecheng-519	140	1	m.	m.	NOUN
fumecheng-519	140	2	seabra	seabra	VERB
fumecheng-519	140	3	4	4	NUM
fumecheng-519	140	4	4	4	NUM
fumecheng-519	140	5	2	2	NUM
fumecheng-519	140	6	4	4	NUM
fumecheng-519	140	7	2	2	NUM
fumecheng-519	140	8	4	4	NUM
fumecheng-519	140	9	0	0	NUM
fumecheng-519	140	10	1	1	NUM
fumecheng-519	140	11	,	,	PUNCT
fumecheng-519	140	12	1	1	NUM
fumecheng-519	140	13	1	1	NUM
fumecheng-519	140	14	,	,	PUNCT
fumecheng-519	140	15	1	1	NUM
fumecheng-519	140	16	.	.	PUNCT
fumecheng-519	141	1	i	i	PRON
fumecheng-519	141	2	i	i	VERB
fumecheng-519	142	1	r	r	VERB
fumecheng-519	143	1	i	i	NOUN
fumecheng-519	143	2	r	r	NOUN
fumecheng-519	144	1	r	r	NOUN
fumecheng-519	145	1	i	i	NOUN
fumecheng-519	146	1	r	r	VERB
fumecheng-519	147	1	i	i	PRON
fumecheng-519	148	1	i	i	PRON
fumecheng-519	149	1	i	i	PRON
fumecheng-519	150	1	i	i	INTJ
fumecheng-519	151	1	i	i	VERB
fumecheng-519	152	1	r	r	NOUN
fumecheng-519	152	2	r	r	NOUN
fumecheng-519	152	3	r	r	NOUN
fumecheng-519	153	1	i	i	NOUN
fumecheng-519	153	2	k	k	PROPN
fumecheng-519	153	3	k	k	PROPN
fumecheng-519	153	4	k	k	PROPN
fumecheng-519	153	5			NOUN
fumecheng-519	153	6			NOUN
fumecheng-519	153	7			NOUN
fumecheng-519	153	8			NOUN
fumecheng-519	153	9			PROPN
fumecheng-519	153	10			PROPN
fumecheng-519	153	11			NOUN
fumecheng-519	153	12			X
fumecheng-519	153	13			NUM
fumecheng-519	153	14			X
fumecheng-519	153	15			NUM
fumecheng-519	153	16			NOUN
fumecheng-519	153	17			NOUN
fumecheng-519	153	18			NOUN
fumecheng-519	153	19			NOUN
fumecheng-519	153	20			NUM
fumecheng-519	153	21			NOUN
fumecheng-519	153	22			NOUN
fumecheng-519	153	23			NOUN
fumecheng-519	154	1			PROPN
fumecheng-519	154	2			PROPN
fumecheng-519	154	3			NOUN
fumecheng-519	154	4			PROPN
fumecheng-519	154	5			PUNCT
fumecheng-519	154	6			PROPN
fumecheng-519	154	7			PROPN
fumecheng-519	154	8			NOUN
fumecheng-519	154	9			PROPN
fumecheng-519	154	10			ADV
fumecheng-519	154	11			ADJ
fumecheng-519	154	12			PROPN
fumecheng-519	154	13			NOUN
fumecheng-519	155	1			PROPN
fumecheng-519	156	1			PROPN
fumecheng-519	156	2			PROPN
fumecheng-519	157	1			PROPN
fumecheng-519	157	2			PROPN
fumecheng-519	157	3			PROPN
fumecheng-519	157	4			PROPN
fumecheng-519	157	5			PROPN
fumecheng-519	157	6			NOUN
fumecheng-519	157	7			PROPN
fumecheng-519	157	8			PUNCT
fumecheng-519	157	9			NUM
fumecheng-519	157	10			PROPN
fumecheng-519	157	11			PROPN
fumecheng-519	157	12			CCONJ
fumecheng-519	157	13			ADJ
fumecheng-519	157	14			NOUN
fumecheng-519	157	15	.	.	PUNCT
fumecheng-519	158	1	(	(	PUNCT
fumecheng-519	158	2	17	17	NUM
fumecheng-519	158	3	)	)	PUNCT
fumecheng-519	158	4	with	with	ADP
fumecheng-519	158	5	the	the	DET
fumecheng-519	158	6	use	use	NOUN
fumecheng-519	158	7	of	of	ADP
fumecheng-519	158	8	euler‟s	euler‟s	NOUN
fumecheng-519	158	9	formula	formula	NOUN
fumecheng-519	158	10	,	,	PUNCT
fumecheng-519	158	11	solution	solution	NOUN
fumecheng-519	158	12	(	(	PUNCT
fumecheng-519	158	13	15	15	NUM
fumecheng-519	158	14	)	)	PUNCT
fumecheng-519	158	15	can	can	AUX
fumecheng-519	158	16	be	be	AUX
fumecheng-519	158	17	written	write	VERB
fumecheng-519	158	18	as	as	ADP
fumecheng-519	158	19	:	:	PUNCT
fumecheng-519	158	20	1	1	NUM
fumecheng-519	158	21	,	,	PUNCT
fumecheng-519	158	22	2	2	NUM
fumecheng-519	158	23	,	,	PUNCT
fumecheng-519	158	24	3	3	NUM
fumecheng-519	158	25	,	,	PUNCT
fumecheng-519	158	26	4	4	NUM
fumecheng-519	158	27	,	,	PUNCT
fumecheng-519	158	28	(	(	PUNCT
fumecheng-519	158	29	)	)	PUNCT
fumecheng-519	158	30	cosh	cosh	PROPN
fumecheng-519	158	31	(	(	PUNCT
fumecheng-519	158	32	)	)	PUNCT
fumecheng-519	158	33	sinh	sinh	PROPN
fumecheng-519	158	34	(	(	PUNCT
fumecheng-519	158	35	)	)	PUNCT
fumecheng-519	158	36	cosh	cosh	PROPN
fumecheng-519	158	37	(	(	PUNCT
fumecheng-519	158	38	)	)	PUNCT
fumecheng-519	158	39	sinh	sinh	PROPN
fumecheng-519	158	40	(	(	PUNCT
fumecheng-519	158	41	)	)	PUNCT
fumecheng-519	158	42	,	,	PUNCT
fumecheng-519	158	43	i	i	PRON
fumecheng-519	158	44	i	i	PRON
fumecheng-519	159	1	i	i	PRON
fumecheng-519	159	2	i	i	PRON
fumecheng-519	160	1	i	i	PRON
fumecheng-519	160	2	i	i	PRON
fumecheng-519	161	1	i	i	PRON
fumecheng-519	161	2	i	i	PRON
fumecheng-519	162	1	i	i	PRON
fumecheng-519	162	2	i	i	PRON
fumecheng-519	163	1	i	i	PRON
fumecheng-519	163	2	i	i	PRON
fumecheng-519	164	1	i	i	PRON
fumecheng-519	164	2	i	i	VERB
fumecheng-519	164	3	y	y	VERB
fumecheng-519	164	4	x	x	X
fumecheng-519	164	5	c	c	NOUN
fumecheng-519	164	6	a	a	X
fumecheng-519	164	7	x	x	X
fumecheng-519	164	8	c	c	NOUN
fumecheng-519	164	9	a	a	X
fumecheng-519	164	10	x	x	X
fumecheng-519	164	11	c	c	NOUN
fumecheng-519	164	12	b	b	PROPN
fumecheng-519	164	13	x	x	X
fumecheng-519	164	14	c	c	PROPN
fumecheng-519	164	15	b	b	PROPN
fumecheng-519	164	16	x	x	PROPN
fumecheng-519	164	17			PROPN
fumecheng-519	164	18			PUNCT
fumecheng-519	164	19			X
fumecheng-519	164	20	(	(	PUNCT
fumecheng-519	164	21	18	18	NUM
fumecheng-519	164	22	)	)	PUNCT
fumecheng-519	164	23	where	where	SCONJ
fumecheng-519	164	24	cj	cj	NOUN
fumecheng-519	164	25	,	,	PUNCT
fumecheng-519	164	26	i	i	PRON
fumecheng-519	164	27	(	(	PUNCT
fumecheng-519	164	28	i	i	NOUN
fumecheng-519	164	29	=	=	SYM
fumecheng-519	164	30	1,2	1,2	NUM
fumecheng-519	164	31	,	,	PUNCT
fumecheng-519	164	32	j	j	NOUN
fumecheng-519	164	33	=	=	SYM
fumecheng-519	164	34	1,2,3,4	1,2,3,4	NUM
fumecheng-519	164	35	)	)	PUNCT
fumecheng-519	164	36	are	be	AUX
fumecheng-519	164	37	eight	eight	NUM
fumecheng-519	164	38	constants	constant	NOUN
fumecheng-519	164	39	to	to	PART
fumecheng-519	164	40	be	be	AUX
fumecheng-519	164	41	determined	determine	VERB
fumecheng-519	164	42	from	from	ADP
fumecheng-519	164	43	the	the	DET
fumecheng-519	164	44	initial	initial	ADJ
fumecheng-519	164	45	conditions	condition	NOUN
fumecheng-519	164	46	and	and	CCONJ
fumecheng-519	164	47	:	:	PUNCT
fumecheng-519	164	48	2	2	NUM
fumecheng-519	164	49	2	2	NUM
fumecheng-519	164	50	2	2	NUM
fumecheng-519	164	51	2	2	NUM
fumecheng-519	164	52	4	4	NUM
fumecheng-519	164	53	0	0	NUM
fumecheng-519	164	54	2	2	NUM
fumecheng-519	164	55	2	2	NUM
fumecheng-519	164	56	4	4	NUM
fumecheng-519	164	57	0	0	NUM
fumecheng-519	164	58	4	4	NUM
fumecheng-519	164	59	4	4	NUM
fumecheng-519	164	60	4	4	NUM
fumecheng-519	164	61	4	4	NUM
fumecheng-519	164	62	,	,	PUNCT
fumecheng-519	164	63	1,2	1,2	NUM
fumecheng-519	164	64	2	2	NUM
fumecheng-519	164	65	2	2	NUM
fumecheng-519	165	1	i	i	PRON
fumecheng-519	166	1	i	i	PRON
fumecheng-519	167	1	i	i	PRON
fumecheng-519	168	1	i	i	PRON
fumecheng-519	169	1	i	i	PRON
fumecheng-519	170	1	i	i	PRON
fumecheng-519	171	1	i	i	PRON
fumecheng-519	172	1	i	i	PRON
fumecheng-519	173	1	i	i	PRON
fumecheng-519	174	1	i	i	PRON
fumecheng-519	175	1	i	i	PRON
fumecheng-519	176	1	i	i	PRON
fumecheng-519	177	1	a	a	PRON
fumecheng-519	177	2	b	b	NOUN
fumecheng-519	178	1	i	i	PROPN
fumecheng-519	178	2			PROPN
fumecheng-519	178	3			PUNCT
fumecheng-519	178	4			PUNCT
fumecheng-519	178	5			NOUN
fumecheng-519	178	6			NOUN
fumecheng-519	178	7			PUNCT
fumecheng-519	179	1			ADJ
fumecheng-519	179	2			NOUN
fumecheng-519	179	3			PUNCT
fumecheng-519	179	4			PROPN
fumecheng-519	179	5			NOUN
fumecheng-519	179	6			X
fumecheng-519	180	1			NUM
fumecheng-519	180	2			NUM
fumecheng-519	180	3			NOUN
fumecheng-519	180	4			NOUN
fumecheng-519	180	5			X
fumecheng-519	180	6	.	.	PUNCT
fumecheng-519	181	1	(	(	PUNCT
fumecheng-519	181	2	19	19	NUM
fumecheng-519	181	3	)	)	PUNCT
fumecheng-519	181	4	the	the	DET
fumecheng-519	181	5	need	need	NOUN
fumecheng-519	181	6	for	for	ADP
fumecheng-519	181	7	eq	eq	NOUN
fumecheng-519	181	8	.	.	PUNCT
fumecheng-519	182	1	(	(	PUNCT
fumecheng-519	182	2	18	18	NUM
fumecheng-519	182	3	)	)	PUNCT
fumecheng-519	182	4	to	to	PART
fumecheng-519	182	5	satisfy	satisfy	VERB
fumecheng-519	182	6	the	the	DET
fumecheng-519	182	7	boundary	boundary	ADJ
fumecheng-519	182	8	conditions	condition	NOUN
fumecheng-519	182	9	at	at	ADP
fumecheng-519	182	10	a	a	PRON
fumecheng-519	182	11	and	and	CCONJ
fumecheng-519	182	12	b	b	NOUN
fumecheng-519	182	13	may	may	AUX
fumecheng-519	182	14	be	be	AUX
fumecheng-519	182	15	used	use	VERB
fumecheng-519	182	16	to	to	PART
fumecheng-519	182	17	eliminate	eliminate	VERB
fumecheng-519	182	18	four	four	NUM
fumecheng-519	182	19	of	of	ADP
fumecheng-519	182	20	the	the	DET
fumecheng-519	182	21	constants	constant	NOUN
fumecheng-519	182	22	.	.	PUNCT
fumecheng-519	183	1	the	the	DET
fumecheng-519	183	2	mode	mode	NOUN
fumecheng-519	183	3	shape	shape	NOUN
fumecheng-519	183	4	of	of	ADP
fumecheng-519	183	5	the	the	DET
fumecheng-519	183	6	beam	beam	NOUN
fumecheng-519	183	7	portions	portion	NOUN
fumecheng-519	183	8	may	may	AUX
fumecheng-519	183	9	be	be	AUX
fumecheng-519	183	10	expressed	express	VERB
fumecheng-519	183	11	as	as	ADP
fumecheng-519	183	12	:	:	SYM
fumecheng-519	183	13	1	1	NUM
fumecheng-519	183	14	1	1	NUM
fumecheng-519	183	15	2	2	NUM
fumecheng-519	183	16	2	2	NUM
fumecheng-519	183	17	(	(	PUNCT
fumecheng-519	183	18	)	)	PUNCT
fumecheng-519	183	19	(	(	PUNCT
fumecheng-519	183	20	)	)	PUNCT
fumecheng-519	183	21	(	(	PUNCT
fumecheng-519	183	22	)	)	PUNCT
fumecheng-519	183	23	,	,	PUNCT
fumecheng-519	183	24	1,2	1,2	NUM
fumecheng-519	183	25	.	.	PUNCT
fumecheng-519	184	1	i	i	PRON
fumecheng-519	184	2	i	i	PRON
fumecheng-519	185	1	i	i	PRON
fumecheng-519	185	2	i	i	PRON
fumecheng-519	186	1	i	i	PRON
fumecheng-519	186	2	i	i	PRON
fumecheng-519	187	1	i	i	PRON
fumecheng-519	187	2	i	i	VERB
fumecheng-519	187	3	y	y	VERB
fumecheng-519	187	4	x	x	VERB
fumecheng-519	187	5	a	a	DET
fumecheng-519	187	6	u	u	NOUN
fumecheng-519	187	7	x	x	X
fumecheng-519	187	8	a	a	DET
fumecheng-519	187	9	u	u	NOUN
fumecheng-519	187	10	x	x	PROPN
fumecheng-519	187	11	i	i	NOUN
fumecheng-519	187	12			VERB
fumecheng-519	187	13			PROPN
fumecheng-519	187	14	(	(	PUNCT
fumecheng-519	187	15	20	20	NUM
fumecheng-519	187	16	)	)	PUNCT
fumecheng-519	187	17	where	where	SCONJ
fumecheng-519	187	18	ai1	ai1	PROPN
fumecheng-519	187	19	and	and	CCONJ
fumecheng-519	187	20	ai2	ai2	NOUN
fumecheng-519	187	21	are	be	AUX
fumecheng-519	187	22	unknown	unknown	ADJ
fumecheng-519	187	23	constants	constant	NOUN
fumecheng-519	187	24	and	and	CCONJ
fumecheng-519	187	25	functions	function	NOUN
fumecheng-519	187	26	ui1(xi	ui1(xi	PROPN
fumecheng-519	187	27	)	)	PUNCT
fumecheng-519	187	28	and	and	CCONJ
fumecheng-519	187	29	ui2(xi	ui2(xi	VERB
fumecheng-519	187	30	)	)	PUNCT
fumecheng-519	187	31	for	for	ADP
fumecheng-519	187	32	the	the	DET
fumecheng-519	187	33	classical	classical	ADJ
fumecheng-519	187	34	boundary	boundary	ADJ
fumecheng-519	187	35	conditions	condition	NOUN
fumecheng-519	187	36	are	be	AUX
fumecheng-519	187	37	:	:	PUNCT
fumecheng-519	187	38	for	for	ADP
fumecheng-519	187	39	clamped	clamp	VERB
fumecheng-519	187	40	,	,	PUNCT
fumecheng-519	187	41	1	1	NUM
fumecheng-519	187	42	2	2	NUM
fumecheng-519	187	43	(	(	PUNCT
fumecheng-519	187	44	)	)	PUNCT
fumecheng-519	187	45	cosh	cosh	PROPN
fumecheng-519	187	46	(	(	PUNCT
fumecheng-519	187	47	)	)	PUNCT
fumecheng-519	187	48	cosh	cosh	PROPN
fumecheng-519	187	49	(	(	PUNCT
fumecheng-519	187	50	)	)	PUNCT
fumecheng-519	187	51	,	,	PUNCT
fumecheng-519	187	52	(	(	PUNCT
fumecheng-519	187	53	)	)	PUNCT
fumecheng-519	187	54	sinh	sinh	PROPN
fumecheng-519	187	55	(	(	PUNCT
fumecheng-519	187	56	)	)	PUNCT
fumecheng-519	187	57	sinh	sinh	PROPN
fumecheng-519	187	58	(	(	PUNCT
fumecheng-519	187	59	)	)	PUNCT
fumecheng-519	187	60	.	.	PUNCT
fumecheng-519	188	1	i	i	PRON
fumecheng-519	188	2	i	i	PRON
fumecheng-519	189	1	i	i	PRON
fumecheng-519	189	2	i	i	PRON
fumecheng-519	190	1	i	i	PRON
fumecheng-519	190	2	i	i	PRON
fumecheng-519	191	1	i	i	PRON
fumecheng-519	191	2	i	i	PRON
fumecheng-519	192	1	i	i	PRON
fumecheng-519	192	2	i	i	PRON
fumecheng-519	193	1	i	i	PRON
fumecheng-519	193	2	i	i	PRON
fumecheng-519	194	1	i	i	PRON
fumecheng-519	194	2	i	i	PRON
fumecheng-519	194	3	u	u	VERB
fumecheng-519	194	4	x	x	X
fumecheng-519	194	5	a	a	PRON
fumecheng-519	194	6	x	x	X
fumecheng-519	194	7	b	b	NOUN
fumecheng-519	194	8	x	x	SYM
fumecheng-519	194	9	a	a	DET
fumecheng-519	194	10	u	u	NOUN
fumecheng-519	194	11	x	x	X
fumecheng-519	194	12	a	a	PRON
fumecheng-519	194	13	x	x	X
fumecheng-519	194	14	b	b	PROPN
fumecheng-519	194	15	x	x	SYM
fumecheng-519	194	16	b	b	PROPN
fumecheng-519	194	17			PROPN
fumecheng-519	194	18			PROPN
fumecheng-519	194	19			PROPN
fumecheng-519	194	20			PROPN
fumecheng-519	194	21	for	for	ADP
fumecheng-519	194	22	pinned	pin	VERB
fumecheng-519	194	23	,	,	PUNCT
fumecheng-519	194	24	1	1	NUM
fumecheng-519	194	25	2	2	NUM
fumecheng-519	194	26	(	(	PUNCT
fumecheng-519	194	27	)	)	PUNCT
fumecheng-519	194	28	sinh	sinh	PROPN
fumecheng-519	194	29	(	(	PUNCT
fumecheng-519	194	30	)	)	PUNCT
fumecheng-519	194	31	,	,	PUNCT
fumecheng-519	194	32	(	(	PUNCT
fumecheng-519	194	33	)	)	PUNCT
fumecheng-519	194	34	sinh	sinh	PROPN
fumecheng-519	194	35	(	(	PUNCT
fumecheng-519	194	36	)	)	PUNCT
fumecheng-519	194	37	.	.	PUNCT
fumecheng-519	195	1	i	i	PRON
fumecheng-519	195	2	i	i	PRON
fumecheng-519	196	1	i	i	PRON
fumecheng-519	196	2	i	i	PRON
fumecheng-519	197	1	i	i	PRON
fumecheng-519	197	2	i	i	PRON
fumecheng-519	198	1	i	i	PRON
fumecheng-519	198	2	i	i	PRON
fumecheng-519	198	3	u	u	VERB
fumecheng-519	198	4	x	x	X
fumecheng-519	198	5	a	a	DET
fumecheng-519	198	6	x	x	X
fumecheng-519	198	7	u	u	NOUN
fumecheng-519	198	8	x	x	PROPN
fumecheng-519	198	9	b	b	PROPN
fumecheng-519	198	10	x	x	PROPN
fumecheng-519	198	11			NUM
fumecheng-519	198	12	(	(	PUNCT
fumecheng-519	198	13	21	21	NUM
fumecheng-519	198	14	)	)	PUNCT
fumecheng-519	198	15	(	(	PUNCT
fumecheng-519	198	16	21	21	NUM
fumecheng-519	198	17	)	)	PUNCT
fumecheng-519	198	18	for	for	ADP
fumecheng-519	198	19	free	free	ADJ
fumecheng-519	198	20	,	,	PUNCT
fumecheng-519	198	21	2	2	NUM
fumecheng-519	198	22	1	1	NUM
fumecheng-519	198	23	3	3	NUM
fumecheng-519	198	24	2	2	NUM
fumecheng-519	198	25	3	3	NUM
fumecheng-519	198	26	(	(	PUNCT
fumecheng-519	198	27	)	)	PUNCT
fumecheng-519	198	28	cosh	cosh	PROPN
fumecheng-519	198	29	(	(	PUNCT
fumecheng-519	198	30	)	)	PUNCT
fumecheng-519	198	31	cosh	cosh	PROPN
fumecheng-519	198	32	(	(	PUNCT
fumecheng-519	198	33	)	)	PUNCT
fumecheng-519	198	34	,	,	PUNCT
fumecheng-519	198	35	(	(	PUNCT
fumecheng-519	198	36	)	)	PUNCT
fumecheng-519	198	37	sinh	sinh	PROPN
fumecheng-519	198	38	(	(	PUNCT
fumecheng-519	198	39	)	)	PUNCT
fumecheng-519	198	40	sinh	sinh	PROPN
fumecheng-519	198	41	(	(	PUNCT
fumecheng-519	198	42	)	)	PUNCT
fumecheng-519	198	43	.	.	PUNCT
fumecheng-519	199	1	i	i	PRON
fumecheng-519	199	2	i	i	PRON
fumecheng-519	200	1	i	i	PRON
fumecheng-519	200	2	i	i	PRON
fumecheng-519	201	1	i	i	PRON
fumecheng-519	201	2	i	i	PRON
fumecheng-519	202	1	i	i	PRON
fumecheng-519	202	2	i	i	PRON
fumecheng-519	203	1	i	i	PRON
fumecheng-519	203	2	i	i	PRON
fumecheng-519	204	1	i	i	PRON
fumecheng-519	204	2	i	i	PRON
fumecheng-519	205	1	i	i	PRON
fumecheng-519	205	2	i	i	PRON
fumecheng-519	206	1	i	i	PRON
fumecheng-519	206	2	i	i	PRON
fumecheng-519	207	1	i	i	PRON
fumecheng-519	207	2	i	i	PRON
fumecheng-519	208	1	i	i	PRON
fumecheng-519	208	2	i	i	VERB
fumecheng-519	208	3	a	a	DET
fumecheng-519	208	4	u	u	NOUN
fumecheng-519	208	5	x	x	X
fumecheng-519	208	6	a	a	PRON
fumecheng-519	208	7	x	x	X
fumecheng-519	208	8	b	b	PROPN
fumecheng-519	208	9	x	x	SYM
fumecheng-519	208	10	b	b	PROPN
fumecheng-519	208	11	a	a	PRON
fumecheng-519	208	12	a	a	DET
fumecheng-519	208	13	u	u	NOUN
fumecheng-519	208	14	x	x	X
fumecheng-519	208	15	a	a	PRON
fumecheng-519	208	16	x	x	X
fumecheng-519	208	17	b	b	PROPN
fumecheng-519	208	18	x	x	SYM
fumecheng-519	208	19	b	b	PROPN
fumecheng-519	208	20	b	b	X
fumecheng-519	208	21			X
fumecheng-519	208	22			PROPN
fumecheng-519	208	23			PROPN
fumecheng-519	208	24			PROPN
fumecheng-519	208	25			NOUN
fumecheng-519	208	26			PROPN
fumecheng-519	209	1			PROPN
fumecheng-519	210	1			PROPN
fumecheng-519	210	2			PROPN
fumecheng-519	210	3			PROPN
fumecheng-519	210	4			PROPN
fumecheng-519	210	5			PROPN
fumecheng-519	210	6			VERB
fumecheng-519	210	7			PROPN
fumecheng-519	210	8			PROPN
fumecheng-519	210	9			VERB
fumecheng-519	210	10	taking	take	VERB
fumecheng-519	210	11	into	into	ADP
fumecheng-519	210	12	account	account	NOUN
fumecheng-519	210	13	the	the	DET
fumecheng-519	210	14	opposite	opposite	ADJ
fumecheng-519	210	15	direction	direction	NOUN
fumecheng-519	210	16	coordinate	coordinate	NOUN
fumecheng-519	210	17	axes	axis	NOUN
fumecheng-519	210	18	at	at	ADP
fumecheng-519	210	19	a	a	PRON
fumecheng-519	210	20	and	and	CCONJ
fumecheng-519	210	21	b	b	NOUN
fumecheng-519	210	22	,	,	PUNCT
fumecheng-519	210	23	the	the	DET
fumecheng-519	210	24	need	need	NOUN
fumecheng-519	210	25	to	to	PART
fumecheng-519	210	26	satisfy	satisfy	VERB
fumecheng-519	210	27	the	the	DET
fumecheng-519	210	28	continuity	continuity	NOUN
fumecheng-519	210	29	of	of	ADP
fumecheng-519	210	30	deflection	deflection	NOUN
fumecheng-519	210	31	and	and	CCONJ
fumecheng-519	210	32	the	the	DET
fumecheng-519	210	33	slope	slope	NOUN
fumecheng-519	210	34	and	and	CCONJ
fumecheng-519	210	35	compatibility	compatibility	NOUN
fumecheng-519	210	36	of	of	ADP
fumecheng-519	210	37	bending	bend	VERB
fumecheng-519	210	38	moment	moment	NOUN
fumecheng-519	210	39	and	and	CCONJ
fumecheng-519	210	40	shearing	shear	VERB
fumecheng-519	210	41	force	force	NOUN
fumecheng-519	210	42	at	at	ADP
fumecheng-519	210	43	c	c	PROPN
fumecheng-519	210	44	will	will	AUX
fumecheng-519	210	45	result	result	VERB
fumecheng-519	210	46	in	in	ADP
fumecheng-519	210	47	the	the	DET
fumecheng-519	210	48	following	follow	VERB
fumecheng-519	210	49	equations	equation	NOUN
fumecheng-519	210	50	:	:	PUNCT
fumecheng-519	210	51	1	1	NUM
fumecheng-519	210	52	1	1	NUM
fumecheng-519	210	53	2	2	NUM
fumecheng-519	210	54	2	2	NUM
fumecheng-519	210	55	1	1	NUM
fumecheng-519	210	56	1	1	NUM
fumecheng-519	210	57	1	1	NUM
fumecheng-519	210	58	2	2	NUM
fumecheng-519	210	59	1	1	NUM
fumecheng-519	210	60	2	2	NUM
fumecheng-519	210	61	(	(	PUNCT
fumecheng-519	210	62	)	)	PUNCT
fumecheng-519	210	63	(	(	PUNCT
fumecheng-519	210	64	)	)	PUNCT
fumecheng-519	210	65	(	(	PUNCT
fumecheng-519	210	66	)	)	PUNCT
fumecheng-519	210	67	(	(	PUNCT
fumecheng-519	210	68	)	)	PUNCT
fumecheng-519	210	69	,	,	PUNCT
fumecheng-519	210	70	,	,	PUNCT
fumecheng-519	210	71	dy	dy	NOUN
fumecheng-519	210	72	r	r	NOUN
fumecheng-519	210	73	dy	dy	NOUN
fumecheng-519	210	74	r	r	NOUN
fumecheng-519	210	75	y	y	PROPN
fumecheng-519	210	76	r	r	NOUN
fumecheng-519	210	77	y	y	NOUN
fumecheng-519	210	78	r	r	NOUN
fumecheng-519	210	79	dx	dx	PROPN
fumecheng-519	211	1	dx	dx	PROPN
fumecheng-519	212	1			PROPN
fumecheng-519	213	1			PROPN
fumecheng-519	213	2			NOUN
fumecheng-519	213	3	(	(	PUNCT
fumecheng-519	213	4	22	22	NUM
fumecheng-519	213	5	)	)	PUNCT
fumecheng-519	213	6	2	2	NUM
fumecheng-519	213	7	2	2	NUM
fumecheng-519	213	8	3	3	NUM
fumecheng-519	213	9	3	3	NUM
fumecheng-519	213	10	1	1	NUM
fumecheng-519	213	11	1	1	NUM
fumecheng-519	213	12	2	2	NUM
fumecheng-519	213	13	2	2	NUM
fumecheng-519	213	14	1	1	NUM
fumecheng-519	213	15	1	1	NUM
fumecheng-519	213	16	1	1	NUM
fumecheng-519	213	17	1	1	NUM
fumecheng-519	213	18	2	2	NUM
fumecheng-519	213	19	2	2	NUM
fumecheng-519	213	20	2	2	NUM
fumecheng-519	213	21	2	2	NUM
fumecheng-519	213	22	1	1	NUM
fumecheng-519	213	23	2	2	NUM
fumecheng-519	213	24	1	1	NUM
fumecheng-519	213	25	22	22	NUM
fumecheng-519	213	26	2	2	NUM
fumecheng-519	213	27	3	3	NUM
fumecheng-519	213	28	3	3	NUM
fumecheng-519	213	29	1	1	NUM
fumecheng-519	213	30	2	2	NUM
fumecheng-519	213	31	1	1	NUM
fumecheng-519	213	32	1	1	NUM
fumecheng-519	213	33	2	2	NUM
fumecheng-519	213	34	2	2	NUM
fumecheng-519	213	35	(	(	PUNCT
fumecheng-519	213	36	)	)	PUNCT
fumecheng-519	213	37	(	(	PUNCT
fumecheng-519	213	38	)	)	PUNCT
fumecheng-519	213	39	(	(	PUNCT
fumecheng-519	213	40	)	)	PUNCT
fumecheng-519	213	41	(	(	PUNCT
fumecheng-519	213	42	)	)	PUNCT
fumecheng-519	213	43	(	(	PUNCT
fumecheng-519	213	44	)	)	PUNCT
fumecheng-519	213	45	(	(	PUNCT
fumecheng-519	213	46	)	)	PUNCT
fumecheng-519	213	47	,	,	PUNCT
fumecheng-519	213	48	.	.	PUNCT
fumecheng-519	214	1	d	d	X
fumecheng-519	214	2	y	y	NOUN
fumecheng-519	214	3	x	x	PUNCT
fumecheng-519	214	4	d	d	X
fumecheng-519	214	5	y	y	PROPN
fumecheng-519	214	6	x	x	PROPN
fumecheng-519	214	7	d	d	X
fumecheng-519	214	8	y	y	PROPN
fumecheng-519	214	9	x	x	SYM
fumecheng-519	214	10	dy	dy	NOUN
fumecheng-519	214	11	r	r	NOUN
fumecheng-519	214	12	d	d	X
fumecheng-519	214	13	y	y	PROPN
fumecheng-519	214	14	x	x	SYM
fumecheng-519	214	15	dy	dy	PROPN
fumecheng-519	214	16	r	r	NOUN
fumecheng-519	214	17	dx	dx	PROPN
fumecheng-519	214	18	dx	dx	PROPN
fumecheng-519	214	19	dx	dx	PROPN
fumecheng-519	214	20	dx	dx	PROPN
fumecheng-519	214	21	dx	dx	PROPN
fumecheng-519	214	22	dx	dx	PROPN
fumecheng-519	215	1			PROPN
fumecheng-519	215	2			PROPN
fumecheng-519	215	3			PROPN
fumecheng-519	215	4			PROPN
fumecheng-519	215	5			PROPN
fumecheng-519	215	6			PROPN
fumecheng-519	215	7			NOUN
fumecheng-519	215	8			PROPN
fumecheng-519	215	9			PROPN
fumecheng-519	215	10			PUNCT
fumecheng-519	215	11			NUM
fumecheng-519	215	12			PROPN
fumecheng-519	215	13			PROPN
fumecheng-519	215	14			CCONJ
fumecheng-519	215	15			PROPN
fumecheng-519	215	16			NOUN
fumecheng-519	215	17	substituting	substitute	VERB
fumecheng-519	215	18	the	the	DET
fumecheng-519	215	19	solution	solution	NOUN
fumecheng-519	215	20	(	(	PUNCT
fumecheng-519	215	21	20	20	NUM
fumecheng-519	215	22	)	)	PUNCT
fumecheng-519	215	23	into	into	ADP
fumecheng-519	215	24	eq	eq	NOUN
fumecheng-519	215	25	.	.	PUNCT
fumecheng-519	216	1	(	(	PUNCT
fumecheng-519	216	2	22	22	NUM
fumecheng-519	216	3	)	)	PUNCT
fumecheng-519	216	4	and	and	CCONJ
fumecheng-519	216	5	rewriting	rewrite	VERB
fumecheng-519	216	6	in	in	ADP
fumecheng-519	216	7	the	the	DET
fumecheng-519	216	8	matrix	matrix	NOUN
fumecheng-519	216	9	form	form	NOUN
fumecheng-519	216	10	,	,	PUNCT
fumecheng-519	216	11	one	one	PRON
fumecheng-519	216	12	obtains	obtain	VERB
fumecheng-519	216	13	the	the	DET
fumecheng-519	216	14	following	follow	VERB
fumecheng-519	216	15	homogenous	homogenous	ADJ
fumecheng-519	216	16	set	set	NOUN
fumecheng-519	216	17	of	of	ADP
fumecheng-519	216	18	four	four	NUM
fumecheng-519	216	19	algebraic	algebraic	ADJ
fumecheng-519	216	20	equations	equation	NOUN
fumecheng-519	216	21	:	:	PUNCT
fumecheng-519	216	22	critical	critical	ADJ
fumecheng-519	216	23	load	load	NOUN
fumecheng-519	216	24	parameter	parameter	NOUN
fumecheng-519	216	25	of	of	ADP
fumecheng-519	216	26	a	a	DET
fumecheng-519	216	27	timoshenko	timoshenko	ADJ
fumecheng-519	216	28	beam	beam	NOUN
fumecheng-519	216	29	with	with	ADP
fumecheng-519	216	30	one	one	NUM
fumecheng-519	216	31	-	-	PUNCT
fumecheng-519	216	32	step	step	NOUN
fumecheng-519	216	33	change	change	NOUN
fumecheng-519	216	34	in	in	ADP
fumecheng-519	216	35	cross	cross	NOUN
fumecheng-519	216	36	section	section	NOUN
fumecheng-519	216	37	267	267	NUM
fumecheng-519	216	38	11	11	NUM
fumecheng-519	216	39	1	1	NUM
fumecheng-519	216	40	12	12	NUM
fumecheng-519	216	41	1	1	NUM
fumecheng-519	216	42	21	21	NUM
fumecheng-519	216	43	22	22	NUM
fumecheng-519	216	44	11	11	NUM
fumecheng-519	216	45	1	1	NUM
fumecheng-519	216	46	12	12	NUM
fumecheng-519	216	47	1	1	NUM
fumecheng-519	216	48	21	21	NUM
fumecheng-519	216	49	22	22	NUM
fumecheng-519	216	50	11	11	NUM
fumecheng-519	216	51	1	1	NUM
fumecheng-519	216	52	1	1	NUM
fumecheng-519	216	53	2	2	NUM
fumecheng-519	216	54	2	2	NUM
fumecheng-519	216	55	12	12	NUM
fumecheng-519	216	56	2	2	NUM
fumecheng-519	216	57	2	2	NUM
fumecheng-519	216	58	2	2	NUM
fumecheng-519	216	59	2	2	NUM
fumecheng-519	216	60	2111	2111	NUM
fumecheng-519	216	61	1	1	NUM
fumecheng-519	216	62	12	12	NUM
fumecheng-519	216	63	1	1	NUM
fumecheng-519	216	64	21	21	NUM
fumecheng-519	216	65	22	22	NUM
fumecheng-519	216	66	1	1	NUM
fumecheng-519	216	67	1	1	NUM
fumecheng-519	216	68	2	2	NUM
fumecheng-519	216	69	22	22	NUM
fumecheng-519	216	70	2	2	NUM
fumecheng-519	216	71	2	2	NUM
fumecheng-519	216	72	2	2	NUM
fumecheng-519	216	73	221	221	NUM
fumecheng-519	216	74	1	1	NUM
fumecheng-519	216	75	2	2	NUM
fumecheng-519	216	76	2	2	NUM
fumecheng-519	216	77	11	11	NUM
fumecheng-519	216	78	1	1	NUM
fumecheng-519	216	79	12	12	NUM
fumecheng-519	216	80	1	1	NUM
fumecheng-519	216	81	21	21	NUM
fumecheng-519	216	82	2	2	NUM
fumecheng-519	216	83	2	2	NUM
fumecheng-519	216	84	2	2	NUM
fumecheng-519	216	85	2	2	NUM
fumecheng-519	216	86	2	2	NUM
fumecheng-519	216	87	2	2	NUM
fumecheng-519	216	88	2	2	NUM
fumecheng-519	216	89	222	222	NUM
fumecheng-519	216	90	(	(	PUNCT
fumecheng-519	216	91	)	)	PUNCT
fumecheng-519	216	92	(	(	PUNCT
fumecheng-519	216	93	)	)	PUNCT
fumecheng-519	216	94	(	(	PUNCT
fumecheng-519	216	95	)	)	PUNCT
fumecheng-519	216	96	(	(	PUNCT
fumecheng-519	216	97	)	)	PUNCT
fumecheng-519	216	98	(	(	PUNCT
fumecheng-519	216	99	)	)	PUNCT
fumecheng-519	216	100	(	(	PUNCT
fumecheng-519	216	101	)	)	PUNCT
fumecheng-519	216	102	(	(	PUNCT
fumecheng-519	216	103	)	)	PUNCT
fumecheng-519	216	104	(	(	PUNCT
fumecheng-519	216	105	)	)	PUNCT
fumecheng-519	216	106	(	(	PUNCT
fumecheng-519	216	107	)	)	PUNCT
fumecheng-519	216	108	(	(	PUNCT
fumecheng-519	216	109	)	)	PUNCT
fumecheng-519	216	110	(	(	PUNCT
fumecheng-519	216	111	)	)	PUNCT
fumecheng-519	216	112	(	(	PUNCT
fumecheng-519	216	113	)	)	PUNCT
fumecheng-519	216	114	(	(	PUNCT
fumecheng-519	216	115	)	)	PUNCT
fumecheng-519	216	116	(	(	PUNCT
fumecheng-519	216	117	)	)	PUNCT
fumecheng-519	216	118	(	(	PUNCT
fumecheng-519	216	119	)	)	PUNCT
fumecheng-519	216	120	(	(	PUNCT
fumecheng-519	216	121	)	)	PUNCT
fumecheng-519	216	122	u	u	NOUN
fumecheng-519	216	123	r	r	NOUN
fumecheng-519	216	124	u	u	NOUN
fumecheng-519	216	125	r	r	NOUN
fumecheng-519	216	126	u	u	NOUN
fumecheng-519	216	127	r	r	NOUN
fumecheng-519	216	128	u	u	NOUN
fumecheng-519	216	129	r	r	NOUN
fumecheng-519	216	130	du	du	NOUN
fumecheng-519	216	131	r	r	NOUN
fumecheng-519	216	132	du	du	PROPN
fumecheng-519	216	133	r	r	NOUN
fumecheng-519	216	134	du	du	PROPN
fumecheng-519	216	135	r	r	NOUN
fumecheng-519	216	136	du	du	PROPN
fumecheng-519	216	137	r	r	NOUN
fumecheng-519	216	138	a	a	PRON
fumecheng-519	216	139	dx	dx	PROPN
fumecheng-519	216	140	dx	dx	PROPN
fumecheng-519	216	141	dx	dx	PROPN
fumecheng-519	216	142	dx	dx	PROPN
fumecheng-519	217	1	a	a	DET
fumecheng-519	217	2	ad	ad	NOUN
fumecheng-519	217	3	u	u	NOUN
fumecheng-519	217	4	r	r	NOUN
fumecheng-519	217	5	d	d	X
fumecheng-519	217	6	u	u	NOUN
fumecheng-519	217	7	r	r	NOUN
fumecheng-519	217	8	d	d	X
fumecheng-519	217	9	u	u	NOUN
fumecheng-519	217	10	r	r	NOUN
fumecheng-519	217	11	d	d	X
fumecheng-519	217	12	u	u	NOUN
fumecheng-519	217	13	r	r	NOUN
fumecheng-519	217	14	adx	adx	PROPN
fumecheng-519	217	15	dx	dx	PROPN
fumecheng-519	217	16	dx	dx	PROPN
fumecheng-519	217	17	dx	dx	PROPN
fumecheng-519	218	1	b	b	PROPN
fumecheng-519	218	2	r	r	NOUN
fumecheng-519	218	3	b	b	PROPN
fumecheng-519	218	4	r	r	NOUN
fumecheng-519	218	5	b	b	NOUN
fumecheng-519	218	6	r	r	NOUN
fumecheng-519	218	7	b	b	NOUN
fumecheng-519	218	8	r	r	NOUN
fumecheng-519	218	9			X
fumecheng-519	218	10			X
fumecheng-519	218	11			PROPN
fumecheng-519	218	12			PROPN
fumecheng-519	218	13			PROPN
fumecheng-519	218	14			ADJ
fumecheng-519	218	15			NOUN
fumecheng-519	218	16			NOUN
fumecheng-519	218	17			PRON
fumecheng-519	218	18			NOUN
fumecheng-519	218	19			PROPN
fumecheng-519	218	20			NOUN
fumecheng-519	218	21			NUM
fumecheng-519	218	22			NOUN
fumecheng-519	218	23			NOUN
fumecheng-519	218	24			NUM
fumecheng-519	218	25			NOUN
fumecheng-519	218	26			NOUN
fumecheng-519	218	27			NOUN
fumecheng-519	218	28			PROPN
fumecheng-519	218	29			PROPN
fumecheng-519	218	30			PROPN
fumecheng-519	218	31			PROPN
fumecheng-519	218	32			NOUN
fumecheng-519	218	33			NOUN
fumecheng-519	218	34			NOUN
fumecheng-519	218	35			NOUN
fumecheng-519	218	36			PROPN
fumecheng-519	218	37			PROPN
fumecheng-519	218	38	0	0	NUM
fumecheng-519	218	39	0	0	NUM
fumecheng-519	218	40	0	0	NUM
fumecheng-519	218	41	0	0	NUM
fumecheng-519	219	1			NUM
fumecheng-519	219	2			ADP
fumecheng-519	220	1			NUM
fumecheng-519	220	2			NUM
fumecheng-519	220	3			NUM
fumecheng-519	220	4			NUM
fumecheng-519	220	5			NUM
fumecheng-519	220	6			NUM
fumecheng-519	220	7			NUM
fumecheng-519	220	8			NOUN
fumecheng-519	221	1			NUM
fumecheng-519	221	2			NOUN
fumecheng-519	221	3			NUM
fumecheng-519	221	4			NUM
fumecheng-519	221	5			NUM
fumecheng-519	221	6			NUM
fumecheng-519	221	7			NUM
fumecheng-519	221	8			NUM
fumecheng-519	221	9			PROPN
fumecheng-519	221	10			VERB
fumecheng-519	221	11			X
fumecheng-519	221	12			PRON
fumecheng-519	221	13			NOUN
fumecheng-519	221	14	,	,	PUNCT
fumecheng-519	221	15	(	(	PUNCT
fumecheng-519	221	16	23	23	NUM
fumecheng-519	221	17	)	)	PUNCT
fumecheng-519	221	18	where	where	SCONJ
fumecheng-519	221	19	:	:	PUNCT
fumecheng-519	221	20			NOUN
fumecheng-519	221	21			PROPN
fumecheng-519	221	22	3	3	NUM
fumecheng-519	221	23	3	3	NUM
fumecheng-519	221	24	(	(	PUNCT
fumecheng-519	221	25	)	)	PUNCT
fumecheng-519	221	26	(	(	PUNCT
fumecheng-519	221	27	)	)	PUNCT
fumecheng-519	221	28	.mn	.mn	PUNCT
fumecheng-519	222	1	m	m	VERB
fumecheng-519	222	2	mn	mn	PROPN
fumecheng-519	222	3	m	m	PROPN
fumecheng-519	222	4	mn	mn	PROPN
fumecheng-519	222	5	m	m	PROPN
fumecheng-519	222	6	m	m	VERB
fumecheng-519	222	7	m	m	VERB
fumecheng-519	222	8	m	m	VERB
fumecheng-519	222	9	d	d	X
fumecheng-519	222	10	u	u	NOUN
fumecheng-519	222	11	r	r	NOUN
fumecheng-519	222	12	du	du	NOUN
fumecheng-519	222	13	r	r	NOUN
fumecheng-519	222	14	b	b	PROPN
fumecheng-519	222	15	r	r	NOUN
fumecheng-519	222	16	dx	dx	PROPN
fumecheng-519	222	17	dx	dx	PROPN
fumecheng-519	222	18			PROPN
fumecheng-519	222	19			VERB
fumecheng-519	222	20			PUNCT
fumecheng-519	222	21	(	(	PUNCT
fumecheng-519	222	22	24	24	NUM
fumecheng-519	222	23	)	)	PUNCT
fumecheng-519	222	24	for	for	ADP
fumecheng-519	222	25	the	the	DET
fumecheng-519	222	26	non	non	ADJ
fumecheng-519	222	27	-	-	ADJ
fumecheng-519	222	28	trivial	trivial	ADJ
fumecheng-519	222	29	solution	solution	NOUN
fumecheng-519	222	30	,	,	PUNCT
fumecheng-519	222	31	the	the	DET
fumecheng-519	222	32	coefficient	coefficient	NOUN
fumecheng-519	222	33	matrix	matrix	NOUN
fumecheng-519	222	34	must	must	AUX
fumecheng-519	222	35	be	be	AUX
fumecheng-519	222	36	singular	singular	ADJ
fumecheng-519	222	37	,	,	PUNCT
fumecheng-519	222	38	one	one	PRON
fumecheng-519	222	39	gets	get	VERB
fumecheng-519	222	40	the	the	DET
fumecheng-519	222	41	frequency	frequency	NOUN
fumecheng-519	222	42	equation	equation	NOUN
fumecheng-519	222	43	:	:	PUNCT
fumecheng-519	222	44	11	11	NUM
fumecheng-519	222	45	1	1	NUM
fumecheng-519	222	46	12	12	NUM
fumecheng-519	222	47	1	1	NUM
fumecheng-519	222	48	21	21	NUM
fumecheng-519	222	49	2	2	NUM
fumecheng-519	222	50	22	22	NUM
fumecheng-519	222	51	2	2	NUM
fumecheng-519	222	52	11	11	NUM
fumecheng-519	222	53	1	1	NUM
fumecheng-519	222	54	12	12	NUM
fumecheng-519	222	55	1	1	NUM
fumecheng-519	222	56	21	21	NUM
fumecheng-519	222	57	2	2	NUM
fumecheng-519	222	58	22	22	NUM
fumecheng-519	222	59	2	2	NUM
fumecheng-519	222	60	1	1	NUM
fumecheng-519	222	61	1	1	NUM
fumecheng-519	222	62	2	2	NUM
fumecheng-519	222	63	2	2	NUM
fumecheng-519	222	64	2	2	NUM
fumecheng-519	222	65	2	2	NUM
fumecheng-519	222	66	2	2	NUM
fumecheng-519	222	67	2	2	NUM
fumecheng-519	222	68	11	11	NUM
fumecheng-519	222	69	1	1	NUM
fumecheng-519	222	70	12	12	NUM
fumecheng-519	222	71	1	1	NUM
fumecheng-519	222	72	21	21	NUM
fumecheng-519	222	73	2	2	NUM
fumecheng-519	222	74	22	22	NUM
fumecheng-519	222	75	2	2	NUM
fumecheng-519	222	76	1	1	NUM
fumecheng-519	222	77	1	1	NUM
fumecheng-519	222	78	2	2	NUM
fumecheng-519	222	79	22	22	NUM
fumecheng-519	222	80	2	2	NUM
fumecheng-519	222	81	2	2	NUM
fumecheng-519	222	82	2	2	NUM
fumecheng-519	222	83	1	1	NUM
fumecheng-519	222	84	1	1	NUM
fumecheng-519	222	85	2	2	NUM
fumecheng-519	222	86	2	2	NUM
fumecheng-519	222	87	11	11	NUM
fumecheng-519	222	88	1	1	NUM
fumecheng-519	222	89	12	12	NUM
fumecheng-519	222	90	1	1	NUM
fumecheng-519	222	91	21	21	NUM
fumecheng-519	222	92	2	2	NUM
fumecheng-519	222	93	22	22	NUM
fumecheng-519	222	94	2	2	NUM
fumecheng-519	222	95	(	(	PUNCT
fumecheng-519	222	96	)	)	PUNCT
fumecheng-519	222	97	(	(	PUNCT
fumecheng-519	222	98	)	)	PUNCT
fumecheng-519	222	99	(	(	PUNCT
fumecheng-519	222	100	)	)	PUNCT
fumecheng-519	222	101	(	(	PUNCT
fumecheng-519	222	102	)	)	PUNCT
fumecheng-519	222	103	(	(	PUNCT
fumecheng-519	222	104	)	)	PUNCT
fumecheng-519	222	105	(	(	PUNCT
fumecheng-519	222	106	)	)	PUNCT
fumecheng-519	222	107	(	(	PUNCT
fumecheng-519	222	108	)	)	PUNCT
fumecheng-519	222	109	(	(	PUNCT
fumecheng-519	222	110	)	)	PUNCT
fumecheng-519	222	111	0	0	X
fumecheng-519	222	112	.	.	PUNCT
fumecheng-519	223	1	(	(	PUNCT
fumecheng-519	223	2	)	)	PUNCT
fumecheng-519	223	3	(	(	PUNCT
fumecheng-519	223	4	)	)	PUNCT
fumecheng-519	223	5	(	(	PUNCT
fumecheng-519	223	6	)	)	PUNCT
fumecheng-519	223	7	(	(	PUNCT
fumecheng-519	223	8	)	)	PUNCT
fumecheng-519	223	9	(	(	PUNCT
fumecheng-519	223	10	)	)	PUNCT
fumecheng-519	223	11	(	(	PUNCT
fumecheng-519	223	12	)	)	PUNCT
fumecheng-519	223	13	(	(	PUNCT
fumecheng-519	223	14	)	)	PUNCT
fumecheng-519	223	15	(	(	PUNCT
fumecheng-519	223	16	)	)	PUNCT
fumecheng-519	223	17	u	u	NOUN
fumecheng-519	223	18	r	r	NOUN
fumecheng-519	223	19	u	u	NOUN
fumecheng-519	223	20	r	r	NOUN
fumecheng-519	223	21	u	u	NOUN
fumecheng-519	223	22	r	r	NOUN
fumecheng-519	223	23	u	u	NOUN
fumecheng-519	223	24	r	r	NOUN
fumecheng-519	223	25	du	du	NOUN
fumecheng-519	223	26	r	r	NOUN
fumecheng-519	223	27	du	du	PROPN
fumecheng-519	223	28	r	r	NOUN
fumecheng-519	223	29	du	du	PROPN
fumecheng-519	223	30	r	r	NOUN
fumecheng-519	223	31	du	du	PROPN
fumecheng-519	223	32	r	r	NOUN
fumecheng-519	223	33	dx	dx	PROPN
fumecheng-519	223	34	dx	dx	PROPN
fumecheng-519	223	35	dx	dx	PROPN
fumecheng-519	223	36	dx	dx	PROPN
fumecheng-519	224	1	d	d	X
fumecheng-519	224	2	u	u	PROPN
fumecheng-519	224	3	r	r	NOUN
fumecheng-519	224	4	d	d	X
fumecheng-519	224	5	u	u	NOUN
fumecheng-519	224	6	r	r	NOUN
fumecheng-519	224	7	d	d	X
fumecheng-519	224	8	u	u	NOUN
fumecheng-519	224	9	r	r	NOUN
fumecheng-519	224	10	d	d	X
fumecheng-519	224	11	u	u	NOUN
fumecheng-519	224	12	r	r	NOUN
fumecheng-519	224	13	dx	dx	PROPN
fumecheng-519	224	14	dx	dx	PROPN
fumecheng-519	224	15	dx	dx	PROPN
fumecheng-519	224	16	dx	dx	PROPN
fumecheng-519	225	1	b	b	PROPN
fumecheng-519	225	2	r	r	NOUN
fumecheng-519	225	3	b	b	PROPN
fumecheng-519	225	4	r	r	NOUN
fumecheng-519	225	5	b	b	NOUN
fumecheng-519	225	6	r	r	NOUN
fumecheng-519	225	7	b	b	NOUN
fumecheng-519	225	8	r	r	NOUN
fumecheng-519	225	9			X
fumecheng-519	225	10			X
fumecheng-519	225	11			PROPN
fumecheng-519	225	12			PROPN
fumecheng-519	226	1			PROPN
fumecheng-519	226	2			PROPN
fumecheng-519	226	3			PROPN
fumecheng-519	226	4			PROPN
fumecheng-519	226	5			NOUN
fumecheng-519	226	6	(	(	PUNCT
fumecheng-519	226	7	25	25	NUM
fumecheng-519	226	8	)	)	PUNCT
fumecheng-519	226	9	4	4	NUM
fumecheng-519	226	10	.	.	PUNCT
fumecheng-519	226	11	critical	critical	ADJ
fumecheng-519	226	12	axial	axial	ADJ
fumecheng-519	226	13	force	force	NOUN
fumecheng-519	226	14	,	,	PUNCT
fumecheng-519	226	15	critical	critical	ADJ
fumecheng-519	226	16	load	load	NOUN
fumecheng-519	226	17	parameter	parameter	NOUN
fumecheng-519	226	18	of	of	ADP
fumecheng-519	226	19	all	all	DET
fumecheng-519	226	20	the	the	DET
fumecheng-519	226	21	modes	mode	NOUN
fumecheng-519	226	22	of	of	ADP
fumecheng-519	226	23	failure	failure	NOUN
fumecheng-519	226	24	,	,	PUNCT
fumecheng-519	226	25	buckling	buckling	NOUN
fumecheng-519	226	26	is	be	AUX
fumecheng-519	226	27	probably	probably	ADV
fumecheng-519	226	28	the	the	DET
fumecheng-519	226	29	most	most	ADV
fumecheng-519	226	30	common	common	ADJ
fumecheng-519	226	31	and	and	CCONJ
fumecheng-519	226	32	most	most	ADV
fumecheng-519	226	33	catastrophic	catastrophic	ADJ
fumecheng-519	226	34	one	one	NUM
fumecheng-519	226	35	.	.	PUNCT
fumecheng-519	227	1	for	for	ADP
fumecheng-519	227	2	this	this	DET
fumecheng-519	227	3	reason	reason	NOUN
fumecheng-519	227	4	,	,	PUNCT
fumecheng-519	227	5	the	the	DET
fumecheng-519	227	6	critical	critical	ADJ
fumecheng-519	227	7	buckling	buckling	NOUN
fumecheng-519	227	8	load	load	NOUN
fumecheng-519	227	9	is	be	AUX
fumecheng-519	227	10	an	an	DET
fumecheng-519	227	11	important	important	ADJ
fumecheng-519	227	12	characteristic	characteristic	NOUN
fumecheng-519	227	13	of	of	ADP
fumecheng-519	227	14	a	a	DET
fumecheng-519	227	15	mechanical	mechanical	ADJ
fumecheng-519	227	16	structure	structure	NOUN
fumecheng-519	227	17	.	.	PUNCT
fumecheng-519	228	1	as	as	SCONJ
fumecheng-519	228	2	it	it	PRON
fumecheng-519	228	3	is	be	AUX
fumecheng-519	228	4	known	know	VERB
fumecheng-519	228	5	,	,	PUNCT
fumecheng-519	228	6	the	the	DET
fumecheng-519	228	7	critical	critical	ADJ
fumecheng-519	228	8	buckling	buckling	NOUN
fumecheng-519	228	9	load	load	NOUN
fumecheng-519	228	10	for	for	ADP
fumecheng-519	228	11	uniform	uniform	ADJ
fumecheng-519	228	12	beam	beam	NOUN
fumecheng-519	228	13	is	be	AUX
fumecheng-519	228	14	:	:	PUNCT
fumecheng-519	228	15	,	,	PUNCT
fumecheng-519	228	16	2	2	X
fumecheng-519	228	17	,	,	PUNCT
fumecheng-519	228	18			PROPN
fumecheng-519	228	19			PROPN
fumecheng-519	228	20			NOUN
fumecheng-519	229	1			NOUN
fumecheng-519	229	2			PROPN
fumecheng-519	229	3			PROPN
fumecheng-519	230	1			PROPN
fumecheng-519	230	2			NOUN
fumecheng-519	230	3			PROPN
fumecheng-519	230	4			NUM
fumecheng-519	231	1	r	r	PROPN
fumecheng-519	231	2	ucr	ucr	PROPN
fumecheng-519	231	3	k	k	PROPN
fumecheng-519	231	4	(	(	PUNCT
fumecheng-519	231	5	26	26	NUM
fumecheng-519	231	6	)	)	PUNCT
fumecheng-519	231	7	where	where	SCONJ
fumecheng-519	231	8	kr	kr	PROPN
fumecheng-519	231	9	depends	depend	VERB
fumecheng-519	231	10	on	on	ADP
fumecheng-519	231	11	the	the	DET
fumecheng-519	231	12	boundary	boundary	ADJ
fumecheng-519	231	13	conditions	condition	NOUN
fumecheng-519	231	14	and	and	CCONJ
fumecheng-519	231	15	one	one	NUM
fumecheng-519	231	16	has	have	VERB
fumecheng-519	231	17			NOUN
fumecheng-519	231	18	kr	kr	PROPN
fumecheng-519	231	19	=	=	SYM
fumecheng-519	231	20	1	1	NUM
fumecheng-519	231	21	for	for	ADP
fumecheng-519	231	22	pinned	pin	VERB
fumecheng-519	231	23	/	/	SYM
fumecheng-519	231	24	pinned	pin	VERB
fumecheng-519	231	25	beam	beam	NOUN
fumecheng-519	231	26			PART
fumecheng-519	231	27	kr	kr	PROPN
fumecheng-519	231	28	=	=	SYM
fumecheng-519	231	29	1/2	1/2	NUM
fumecheng-519	231	30	for	for	ADP
fumecheng-519	231	31	clamped	clamp	VERB
fumecheng-519	231	32	/	/	SYM
fumecheng-519	231	33	clamped	clamp	VERB
fumecheng-519	231	34	beam	beam	NOUN
fumecheng-519	231	35			PART
fumecheng-519	231	36	kr	kr	PROPN
fumecheng-519	231	37	=	=	SYM
fumecheng-519	231	38	2	2	NUM
fumecheng-519	231	39	for	for	ADP
fumecheng-519	231	40	clamped	clamp	VERB
fumecheng-519	231	41	/	/	SYM
fumecheng-519	231	42	free	free	ADJ
fumecheng-519	231	43	beam	beam	NOUN
fumecheng-519	231	44			PART
fumecheng-519	231	45	kr	kr	PROPN
fumecheng-519	231	46	=	=	SYM
fumecheng-519	231	47	0.69915566	0.69915566	PROPN
fumecheng-519	231	48	for	for	ADP
fumecheng-519	231	49	clamped	clamp	VERB
fumecheng-519	231	50	/	/	SYM
fumecheng-519	231	51	pinned	pin	VERB
fumecheng-519	231	52	beam	beam	NOUN
fumecheng-519	231	53	.	.	PUNCT
fumecheng-519	232	1	in	in	ADP
fumecheng-519	232	2	order	order	NOUN
fumecheng-519	232	3	to	to	PART
fumecheng-519	232	4	verify	verify	VERB
fumecheng-519	232	5	the	the	DET
fumecheng-519	232	6	proposed	propose	VERB
fumecheng-519	232	7	method	method	NOUN
fumecheng-519	232	8	for	for	ADP
fumecheng-519	232	9	the	the	DET
fumecheng-519	232	10	analysis	analysis	NOUN
fumecheng-519	232	11	of	of	ADP
fumecheng-519	232	12	the	the	DET
fumecheng-519	232	13	vibration	vibration	NOUN
fumecheng-519	232	14	of	of	ADP
fumecheng-519	232	15	the	the	DET
fumecheng-519	232	16	stepped	step	VERB
fumecheng-519	232	17	beam	beam	NOUN
fumecheng-519	232	18	,	,	PUNCT
fumecheng-519	232	19	several	several	ADJ
fumecheng-519	232	20	numerical	numerical	ADJ
fumecheng-519	232	21	examples	example	NOUN
fumecheng-519	232	22	with	with	ADP
fumecheng-519	232	23	different	different	ADJ
fumecheng-519	232	24	boundary	boundary	ADJ
fumecheng-519	232	25	conditions	condition	NOUN
fumecheng-519	232	26	,	,	PUNCT
fumecheng-519	232	27	step	step	NOUN
fumecheng-519	232	28	positions	position	NOUN
fumecheng-519	232	29	,	,	PUNCT
fumecheng-519	232	30	slenderness	slenderness	ADJ
fumecheng-519	232	31	ratio	ratio	NOUN
fumecheng-519	232	32	and	and	CCONJ
fumecheng-519	232	33	moment	moment	NOUN
fumecheng-519	232	34	of	of	ADP
fumecheng-519	232	35	inertia	inertia	NOUN
fumecheng-519	232	36	parameter	parameter	NOUN
fumecheng-519	232	37	will	will	AUX
fumecheng-519	232	38	be	be	AUX
fumecheng-519	232	39	discussed	discuss	VERB
fumecheng-519	232	40	in	in	ADP
fumecheng-519	232	41	this	this	DET
fumecheng-519	232	42	section	section	NOUN
fumecheng-519	232	43	.	.	PUNCT
fumecheng-519	233	1	assuming	assume	VERB
fumecheng-519	233	2	that	that	SCONJ
fumecheng-519	233	3	the	the	DET
fumecheng-519	233	4	stepped	step	VERB
fumecheng-519	233	5	beam	beam	NOUN
fumecheng-519	233	6	has	have	VERB
fumecheng-519	233	7	a	a	DET
fumecheng-519	233	8	uniform	uniform	ADJ
fumecheng-519	233	9	young‟s	young‟s	NOUN
fumecheng-519	233	10	modulus	modulus	ADJ
fumecheng-519	233	11	e	e	NOUN
fumecheng-519	233	12	and	and	CCONJ
fumecheng-519	233	13	density	density	NOUN
fumecheng-519	233	14			NOUN
fumecheng-519	233	15	,	,	PUNCT
fumecheng-519	233	16	the	the	DET
fumecheng-519	233	17	present	present	ADJ
fumecheng-519	233	18	paper	paper	NOUN
fumecheng-519	233	19	considers	consider	VERB
fumecheng-519	233	20	three	three	NUM
fumecheng-519	233	21	of	of	ADP
fumecheng-519	233	22	the	the	DET
fumecheng-519	233	23	types	type	NOUN
fumecheng-519	233	24	which	which	PRON
fumecheng-519	233	25	occur	occur	VERB
fumecheng-519	233	26	commonly	commonly	ADV
fumecheng-519	233	27	in	in	ADP
fumecheng-519	233	28	engineering	engineering	NOUN
fumecheng-519	233	29	application	application	NOUN
fumecheng-519	233	30	.	.	PUNCT
fumecheng-519	234	1	the	the	DET
fumecheng-519	234	2	first	first	ADJ
fumecheng-519	234	3	two	two	NUM
fumecheng-519	234	4	are	be	AUX
fumecheng-519	234	5	beams	beam	NOUN
fumecheng-519	234	6	of	of	ADP
fumecheng-519	234	7	a	a	DET
fumecheng-519	234	8	rectangular	rectangular	ADJ
fumecheng-519	234	9	cross	cross	NOUN
fumecheng-519	234	10	-	-	NOUN
fumecheng-519	234	11	section	section	NOUN
fumecheng-519	234	12	with	with	ADP
fumecheng-519	234	13	step	step	NOUN
fumecheng-519	234	14	changes	change	NOUN
fumecheng-519	234	15	in	in	ADP
fumecheng-519	234	16	breadth	breadth	NOUN
fumecheng-519	234	17	and	and	CCONJ
fumecheng-519	234	18	depth	depth	NOUN
fumecheng-519	234	19	and	and	CCONJ
fumecheng-519	234	20	constant	constant	ADJ
fumecheng-519	234	21	depth	depth	NOUN
fumecheng-519	234	22	and	and	CCONJ
fumecheng-519	234	23	breadth	breadth	NOUN
fumecheng-519	234	24	,	,	PUNCT
fumecheng-519	234	25	respectively	respectively	ADV
fumecheng-519	234	26	.	.	PUNCT
fumecheng-519	235	1	the	the	DET
fumecheng-519	235	2	third	third	ADJ
fumecheng-519	235	3	type	type	NOUN
fumecheng-519	235	4	of	of	ADP
fumecheng-519	235	5	beam	beam	NOUN
fumecheng-519	235	6	has	have	VERB
fumecheng-519	235	7	a	a	DET
fumecheng-519	235	8	circular	circular	ADJ
fumecheng-519	235	9	crosssection	crosssection	NOUN
fumecheng-519	235	10	with	with	ADP
fumecheng-519	235	11	the	the	DET
fumecheng-519	235	12	step	step	NOUN
fumecheng-519	235	13	change	change	NOUN
fumecheng-519	235	14	in	in	ADP
fumecheng-519	235	15	diameter	diameter	NOUN
fumecheng-519	235	16	.	.	PUNCT
fumecheng-519	236	1	268	268	NUM
fumecheng-519	236	2	g.	g.	PROPN
fumecheng-519	236	3	janevski	janevski	PROPN
fumecheng-519	236	4	,	,	PUNCT
fumecheng-519	236	5	m.	m.	NOUN
fumecheng-519	236	6	stamenković	stamenković	PROPN
fumecheng-519	236	7	,	,	PUNCT
fumecheng-519	236	8	m.	m.	NOUN
fumecheng-519	236	9	seabra	seabra	VERB
fumecheng-519	236	10	fig	fig	NOUN
fumecheng-519	236	11	.	.	PUNCT
fumecheng-519	237	1	3	3	NUM
fumecheng-519	237	2	three	three	NUM
fumecheng-519	237	3	types	type	NOUN
fumecheng-519	237	4	of	of	ADP
fumecheng-519	237	5	beam	beam	NOUN
fumecheng-519	237	6	three	three	NUM
fumecheng-519	237	7	representative	representative	ADJ
fumecheng-519	237	8	types	type	NOUN
fumecheng-519	237	9	are	be	AUX
fumecheng-519	237	10	shown	show	VERB
fumecheng-519	237	11	in	in	ADP
fumecheng-519	237	12	fig	fig	NOUN
fumecheng-519	237	13	.	.	PUNCT
fumecheng-519	238	1	3	3	NUM
fumecheng-519	238	2	,	,	PUNCT
fumecheng-519	238	3	where	where	SCONJ
fumecheng-519	238	4	„	„	PUNCT
fumecheng-519	238	5	active‟	active‟	ADJ
fumecheng-519	238	6	dimensions	dimension	NOUN
fumecheng-519	238	7	for	for	ADP
fumecheng-519	238	8	type	type	NOUN
fumecheng-519	238	9	1	1	NUM
fumecheng-519	238	10	,	,	PUNCT
fumecheng-519	238	11	2	2	NUM
fumecheng-519	238	12	and	and	CCONJ
fumecheng-519	238	13	3	3	NUM
fumecheng-519	238	14	are	be	AUX
fumecheng-519	238	15	breadth	breadth	NOUN
fumecheng-519	238	16	,	,	PUNCT
fumecheng-519	238	17	depth	depth	NOUN
fumecheng-519	238	18	and	and	CCONJ
fumecheng-519	238	19	diameter	diameter	NOUN
fumecheng-519	238	20	,	,	PUNCT
fumecheng-519	238	21	so	so	SCONJ
fumecheng-519	238	22	that	that	SCONJ
fumecheng-519	238	23	:	:	PUNCT
fumecheng-519	238	24	for	for	ADP
fumecheng-519	238	25	type	type	NOUN
fumecheng-519	238	26	1	1	NUM
fumecheng-519	238	27	,	,	PUNCT
fumecheng-519	238	28	21	21	NUM
fumecheng-519	238	29	,	,	PUNCT
fumecheng-519	238	30	,	,	PUNCT
fumecheng-519	238	31	,	,	PUNCT
fumecheng-519	238	32	,	,	PUNCT
fumecheng-519	238	33	,	,	PUNCT
fumecheng-519	238	34	12	12	NUM
fumecheng-519	238	35	i	i	NOUN
fumecheng-519	238	36	r	r	VERB
fumecheng-519	238	37	i	i	PRON
fumecheng-519	239	1	i	i	PRON
fumecheng-519	239	2	i	i	PRON
fumecheng-519	240	1	i	i	INTJ
fumecheng-519	241	1	i	i	VERB
fumecheng-519	242	1	r	r	NOUN
fumecheng-519	242	2	r	r	NOUN
fumecheng-519	242	3	b	b	PROPN
fumecheng-519	242	4	h	h	NOUN
fumecheng-519	242	5	b	b	PROPN
fumecheng-519	242	6	l	l	NOUN
fumecheng-519	242	7			ADJ
fumecheng-519	242	8			NUM
fumecheng-519	242	9			NOUN
fumecheng-519	242	10			ADJ
fumecheng-519	242	11			PROPN
fumecheng-519	242	12			ADJ
fumecheng-519	242	13			ADJ
fumecheng-519	242	14			PROPN
fumecheng-519	242	15			PROPN
fumecheng-519	243	1			NUM
fumecheng-519	243	2			PRON
fumecheng-519	243	3			ADJ
fumecheng-519	243	4	for	for	ADP
fumecheng-519	243	5	type	type	NOUN
fumecheng-519	243	6	2	2	NUM
fumecheng-519	243	7	,	,	PUNCT
fumecheng-519	243	8	3	3	NUM
fumecheng-519	243	9	21	21	NUM
fumecheng-519	243	10	,	,	PUNCT
fumecheng-519	243	11	,	,	PUNCT
fumecheng-519	243	12	,	,	PUNCT
fumecheng-519	243	13	,	,	PUNCT
fumecheng-519	243	14	,	,	PUNCT
fumecheng-519	244	1	12	12	NUM
fumecheng-519	244	2	i	i	NOUN
fumecheng-519	244	3	r	r	VERB
fumecheng-519	245	1	i	i	PRON
fumecheng-519	245	2	i	i	PRON
fumecheng-519	246	1	i	i	PRON
fumecheng-519	247	1	i	i	INTJ
fumecheng-519	248	1	i	i	VERB
fumecheng-519	248	2	r	r	NOUN
fumecheng-519	248	3	r	r	NOUN
fumecheng-519	248	4	h	h	NOUN
fumecheng-519	248	5	h	h	NOUN
fumecheng-519	248	6	b	b	PROPN
fumecheng-519	248	7	l	l	PRON
fumecheng-519	248	8			ADJ
fumecheng-519	248	9			NUM
fumecheng-519	248	10			NOUN
fumecheng-519	248	11			ADJ
fumecheng-519	248	12			PROPN
fumecheng-519	248	13			ADJ
fumecheng-519	248	14			ADJ
fumecheng-519	248	15			PROPN
fumecheng-519	248	16			PROPN
fumecheng-519	249	1			NUM
fumecheng-519	250	1			NOUN
fumecheng-519	250	2			NOUN
fumecheng-519	250	3	(	(	PUNCT
fumecheng-519	250	4	27	27	NUM
fumecheng-519	250	5	)	)	PUNCT
fumecheng-519	250	6	for	for	ADP
fumecheng-519	250	7	type	type	NOUN
fumecheng-519	250	8	3	3	NUM
fumecheng-519	250	9	,	,	PUNCT
fumecheng-519	250	10	2	2	NUM
fumecheng-519	250	11	4	4	NUM
fumecheng-519	250	12	21	21	NUM
fumecheng-519	250	13	,	,	PUNCT
fumecheng-519	250	14	,	,	PUNCT
fumecheng-519	250	15	,	,	PUNCT
fumecheng-519	250	16	,	,	PUNCT
fumecheng-519	250	17	,	,	PUNCT
fumecheng-519	250	18	1	1	NUM
fumecheng-519	250	19	,	,	PUNCT
fumecheng-519	250	20	2	2	NUM
fumecheng-519	250	21	.	.	X
fumecheng-519	250	22	16	16	NUM
fumecheng-519	251	1	i	i	PRON
fumecheng-519	251	2	r	r	VERB
fumecheng-519	252	1	i	i	PRON
fumecheng-519	252	2	i	i	PRON
fumecheng-519	253	1	i	i	PRON
fumecheng-519	253	2	i	i	INTJ
fumecheng-519	254	1	i	i	VERB
fumecheng-519	255	1	r	r	NOUN
fumecheng-519	255	2	r	r	NOUN
fumecheng-519	255	3	d	d	NOUN
fumecheng-519	256	1	d	d	NOUN
fumecheng-519	256	2	i	i	NOUN
fumecheng-519	256	3	d	d	PROPN
fumecheng-519	256	4	l	l	NOUN
fumecheng-519	256	5			ADJ
fumecheng-519	256	6			NUM
fumecheng-519	256	7			NOUN
fumecheng-519	256	8			ADJ
fumecheng-519	256	9			PROPN
fumecheng-519	256	10			ADJ
fumecheng-519	256	11			ADJ
fumecheng-519	256	12			PROPN
fumecheng-519	256	13			PROPN
fumecheng-519	257	1			NUM
fumecheng-519	257	2			PRON
fumecheng-519	258	1			ADJ
fumecheng-519	258	2			ADJ
fumecheng-519	258	3	without	without	ADP
fumecheng-519	258	4	the	the	DET
fumecheng-519	258	5	loss	loss	NOUN
fumecheng-519	258	6	of	of	ADP
fumecheng-519	258	7	generality	generality	NOUN
fumecheng-519	258	8	,	,	PUNCT
fumecheng-519	258	9	the	the	DET
fumecheng-519	258	10	beam	beam	NOUN
fumecheng-519	258	11	with	with	ADP
fumecheng-519	258	12	length	length	NOUN
fumecheng-519	258	13	l	l	NOUN
fumecheng-519	258	14	and	and	CCONJ
fumecheng-519	258	15	the	the	DET
fumecheng-519	258	16	characteristic	characteristic	NOUN
fumecheng-519	258	17	of	of	ADP
fumecheng-519	258	18	the	the	DET
fumecheng-519	258	19	first	first	ADJ
fumecheng-519	258	20	beam	beam	NOUN
fumecheng-519	258	21	portion	portion	NOUN
fumecheng-519	258	22	,	,	PUNCT
fumecheng-519	258	23	i.e.	i.e.	X
fumecheng-519	258	24	,	,	PUNCT
fumecheng-519	258	25	eir	eir	ADJ
fumecheng-519	258	26	=	=	SYM
fumecheng-519	258	27	ei1	ei1	PROPN
fumecheng-519	258	28	and	and	CCONJ
fumecheng-519	258	29	mr	mr	PROPN
fumecheng-519	258	30	=	=	PROPN
fumecheng-519	258	31	m1	m1	PROPN
fumecheng-519	258	32	,	,	PUNCT
fumecheng-519	258	33	is	be	AUX
fumecheng-519	258	34	chosen	choose	VERB
fumecheng-519	258	35	as	as	ADP
fumecheng-519	258	36	the	the	DET
fumecheng-519	258	37	„	„	PUNCT
fumecheng-519	258	38	reference‟	reference‟	NOUN
fumecheng-519	258	39	beam	beam	NOUN
fumecheng-519	258	40	.	.	PUNCT
fumecheng-519	259	1	this	this	PRON
fumecheng-519	259	2	means	mean	VERB
fumecheng-519	259	3	that	that	SCONJ
fumecheng-519	259	4	in	in	ADP
fumecheng-519	259	5	all	all	DET
fumecheng-519	259	6	the	the	DET
fumecheng-519	259	7	examples	example	NOUN
fumecheng-519	259	8	1	1	NOUN
fumecheng-519	259	9	=	=	SYM
fumecheng-519	259	10	1	1	NUM
fumecheng-519	259	11	,	,	PUNCT
fumecheng-519	259	12	1	1	NOUN
fumecheng-519	259	13	=	=	NOUN
fumecheng-519	259	14	1	1	NUM
fumecheng-519	259	15	and	and	CCONJ
fumecheng-519	259	16	1	1	NOUN
fumecheng-519	259	17	=	=	SYM
fumecheng-519	259	18	1	1	X
fumecheng-519	259	19	.	.	PUNCT
fumecheng-519	259	20	taking	take	VERB
fumecheng-519	259	21	the	the	DET
fumecheng-519	259	22	above	above	ADJ
fumecheng-519	259	23	into	into	ADP
fumecheng-519	259	24	account	account	NOUN
fumecheng-519	259	25	and	and	CCONJ
fumecheng-519	259	26	the	the	DET
fumecheng-519	259	27	fact	fact	NOUN
fumecheng-519	259	28	that	that	SCONJ
fumecheng-519	259	29	r2	r2	NOUN
fumecheng-519	259	30	=	=	SYM
fumecheng-519	259	31	1	1	NUM
fumecheng-519	259	32			NOUN
fumecheng-519	259	33	r1	r1	NOUN
fumecheng-519	259	34	,	,	PUNCT
fumecheng-519	259	35	the	the	DET
fumecheng-519	259	36	system	system	NOUN
fumecheng-519	259	37	dimensionless	dimensionless	NOUN
fumecheng-519	259	38	parameters	parameter	NOUN
fumecheng-519	259	39	are	be	AUX
fumecheng-519	259	40	2	2	PROPN
fumecheng-519	259	41	,	,	PUNCT
fumecheng-519	259	42			NUM
fumecheng-519	259	43	and	and	CCONJ
fumecheng-519	259	44	r1	r1	PROPN
fumecheng-519	259	45	.	.	PUNCT
fumecheng-519	260	1	clearly	clearly	ADV
fumecheng-519	260	2	,	,	PUNCT
fumecheng-519	260	3	the	the	DET
fumecheng-519	260	4	critical	critical	ADJ
fumecheng-519	260	5	load	load	NOUN
fumecheng-519	260	6	is	be	AUX
fumecheng-519	260	7	a	a	DET
fumecheng-519	260	8	function	function	NOUN
fumecheng-519	260	9	of	of	ADP
fumecheng-519	260	10	this	this	DET
fumecheng-519	260	11	parameter	parameter	NOUN
fumecheng-519	260	12	.	.	PUNCT
fumecheng-519	261	1	our	our	PRON
fumecheng-519	261	2	analysis	analysis	NOUN
fumecheng-519	261	3	shows	show	VERB
fumecheng-519	261	4	that	that	SCONJ
fumecheng-519	261	5	the	the	DET
fumecheng-519	261	6	critical	critical	ADJ
fumecheng-519	261	7	force	force	NOUN
fumecheng-519	261	8	can	can	AUX
fumecheng-519	261	9	be	be	AUX
fumecheng-519	261	10	represented	represent	VERB
fumecheng-519	261	11	in	in	ADP
fumecheng-519	261	12	the	the	DET
fumecheng-519	261	13	form	form	NOUN
fumecheng-519	261	14	:	:	PUNCT
fumecheng-519	261	15	,	,	PUNCT
fumecheng-519	261	16	2	2	X
fumecheng-519	261	17	,	,	PUNCT
fumecheng-519	261	18	k	k	PROPN
fumecheng-519	261	19	cr	cr	PROPN
fumecheng-519	261	20	cr	cr	PROPN
fumecheng-519	262	1	u	u	PROPN
fumecheng-519	262	2			PROPN
fumecheng-519	262	3			PROPN
fumecheng-519	262	4			NOUN
fumecheng-519	262	5	(	(	PUNCT
fumecheng-519	262	6	28	28	NUM
fumecheng-519	262	7	)	)	PUNCT
fumecheng-519	262	8	where	where	SCONJ
fumecheng-519	262	9	k	k	NOUN
fumecheng-519	262	10	=	=	SYM
fumecheng-519	262	11	k	k	NOUN
fumecheng-519	262	12	(	(	PUNCT
fumecheng-519	262	13	type	type	NOUN
fumecheng-519	262	14	of	of	ADP
fumecheng-519	262	15	beam	beam	NOUN
fumecheng-519	262	16	,	,	PUNCT
fumecheng-519	262	17	2	2	PROPN
fumecheng-519	262	18	,	,	PUNCT
fumecheng-519	262	19			NUM
fumecheng-519	262	20	,	,	PUNCT
fumecheng-519	262	21	r1	r1	PROPN
fumecheng-519	262	22	)	)	PUNCT
fumecheng-519	262	23	is	be	AUX
fumecheng-519	262	24	a	a	DET
fumecheng-519	262	25	dimensionless	dimensionless	NOUN
fumecheng-519	262	26	critical	critical	ADJ
fumecheng-519	262	27	load	load	NOUN
fumecheng-519	262	28	parameter	parameter	NOUN
fumecheng-519	262	29	(	(	PUNCT
fumecheng-519	262	30	clp	clp	PROPN
fumecheng-519	262	31	)	)	PUNCT
fumecheng-519	262	32	.	.	PUNCT
fumecheng-519	263	1	for	for	ADP
fumecheng-519	263	2	the	the	DET
fumecheng-519	263	3	selected	select	VERB
fumecheng-519	263	4	set	set	NOUN
fumecheng-519	263	5	of	of	ADP
fumecheng-519	263	6	2	2	PROPN
fumecheng-519	263	7	,	,	PUNCT
fumecheng-519	263	8			NUM
fumecheng-519	263	9	and	and	CCONJ
fumecheng-519	263	10	r1	r1	PROPN
fumecheng-519	263	11	,	,	PUNCT
fumecheng-519	263	12	to	to	PART
fumecheng-519	263	13	calculate	calculate	VERB
fumecheng-519	263	14	k	k	PROPN
fumecheng-519	263	15	one	one	NUM
fumecheng-519	263	16	writes	write	VERB
fumecheng-519	263	17	r	r	PROPN
fumecheng-519	263	18	=	=	SYM
fumecheng-519	263	19	0	0	NUM
fumecheng-519	263	20	in	in	ADP
fumecheng-519	263	21	the	the	DET
fumecheng-519	263	22	frequency	frequency	NOUN
fumecheng-519	263	23	equation	equation	NOUN
fumecheng-519	263	24	(	(	PUNCT
fumecheng-519	263	25	25	25	NUM
fumecheng-519	263	26	)	)	PUNCT
fumecheng-519	263	27	.	.	PUNCT
fumecheng-519	264	1	the	the	DET
fumecheng-519	264	2	roots	root	NOUN
fumecheng-519	264	3	of	of	ADP
fumecheng-519	264	4	the	the	DET
fumecheng-519	264	5	frequency	frequency	NOUN
fumecheng-519	264	6	equation	equation	NOUN
fumecheng-519	264	7	(	(	PUNCT
fumecheng-519	264	8	25	25	NUM
fumecheng-519	264	9	)	)	PUNCT
fumecheng-519	264	10	are	be	AUX
fumecheng-519	264	11	determined	determine	VERB
fumecheng-519	264	12	by	by	ADP
fumecheng-519	264	13	an	an	DET
fumecheng-519	264	14	iterative	iterative	NOUN
fumecheng-519	264	15	procedure	procedure	NOUN
fumecheng-519	264	16	based	base	VERB
fumecheng-519	264	17	on	on	ADP
fumecheng-519	264	18	linear	linear	ADJ
fumecheng-519	264	19	interpolation	interpolation	NOUN
fumecheng-519	264	20	and	and	CCONJ
fumecheng-519	264	21	proposed	propose	VERB
fumecheng-519	264	22	in	in	ADP
fumecheng-519	264	23	[	[	X
fumecheng-519	264	24	4	4	NUM
fumecheng-519	264	25	]	]	PUNCT
fumecheng-519	264	26	.	.	PUNCT
fumecheng-519	265	1	this	this	DET
fumecheng-519	265	2	procedure	procedure	NOUN
fumecheng-519	265	3	is	be	AUX
fumecheng-519	265	4	used	use	VERB
fumecheng-519	265	5	to	to	PART
fumecheng-519	265	6	calculate	calculate	VERB
fumecheng-519	265	7	k	k	NOUN
fumecheng-519	265	8	for	for	ADP
fumecheng-519	265	9	2	2	NUM
fumecheng-519	265	10	=	=	SYM
fumecheng-519	265	11	0.6	0.6	NUM
fumecheng-519	265	12	,	,	PUNCT
fumecheng-519	265	13	0.7	0.7	NUM
fumecheng-519	265	14	&	&	CCONJ
fumecheng-519	265	15	0.8	0.8	PROPN
fumecheng-519	265	16	r1	r1	NOUN
fumecheng-519	265	17	=	=	PUNCT
fumecheng-519	265	18	0.1	0.1	NUM
fumecheng-519	265	19	,	,	PUNCT
fumecheng-519	265	20	0.2,	0.2,	NUM
fumecheng-519	265	21	...	...	PUNCT
fumecheng-519	265	22	,1and	,1and	PUNCT
fumecheng-519	265	23			PROPN
fumecheng-519	265	24	=	=	SYM
fumecheng-519	265	25	1/20	1/20	NUM
fumecheng-519	265	26	&	&	CCONJ
fumecheng-519	265	27	1/100	1/100	NUM
fumecheng-519	265	28	.	.	PUNCT
fumecheng-519	266	1	also	also	ADV
fumecheng-519	266	2	,	,	PUNCT
fumecheng-519	266	3	for	for	ADP
fumecheng-519	266	4	the	the	DET
fumecheng-519	266	5	sake	sake	NOUN
fumecheng-519	266	6	of	of	ADP
fumecheng-519	266	7	comparison	comparison	NOUN
fumecheng-519	266	8	,	,	PUNCT
fumecheng-519	266	9	we	we	PRON
fumecheng-519	266	10	have	have	AUX
fumecheng-519	266	11	calculated	calculate	VERB
fumecheng-519	266	12	the	the	DET
fumecheng-519	266	13	clp	clp	PROPN
fumecheng-519	266	14	force	force	NOUN
fumecheng-519	266	15	values	value	NOUN
fumecheng-519	266	16	for	for	ADP
fumecheng-519	266	17			PROPN
fumecheng-519	266	18	=	=	SYM
fumecheng-519	266	19	0	0	NUM
fumecheng-519	266	20	which	which	PRON
fumecheng-519	266	21	correspond	correspond	VERB
fumecheng-519	266	22	to	to	ADP
fumecheng-519	266	23	the	the	DET
fumecheng-519	266	24	case	case	NOUN
fumecheng-519	266	25	of	of	ADP
fumecheng-519	266	26	eulerbernoulli	eulerbernoulli	PROPN
fumecheng-519	266	27	beam	beam	NOUN
fumecheng-519	266	28	.	.	PUNCT
fumecheng-519	267	1	the	the	DET
fumecheng-519	267	2	clt	clt	NOUN
fumecheng-519	267	3	is	be	AUX
fumecheng-519	267	4	tabulated	tabulate	VERB
fumecheng-519	267	5	in	in	ADP
fumecheng-519	267	6	table	table	NOUN
fumecheng-519	267	7	1	1	NUM
fumecheng-519	267	8	for	for	ADP
fumecheng-519	267	9	pinned	pin	VERB
fumecheng-519	267	10	-	-	PUNCT
fumecheng-519	267	11	pinned	pin	VERB
fumecheng-519	267	12	beam	beam	NOUN
fumecheng-519	267	13	.	.	PUNCT
fumecheng-519	268	1	it	it	PRON
fumecheng-519	268	2	can	can	AUX
fumecheng-519	268	3	be	be	AUX
fumecheng-519	268	4	observed	observe	VERB
fumecheng-519	268	5	that	that	SCONJ
fumecheng-519	268	6	the	the	DET
fumecheng-519	268	7	values	value	NOUN
fumecheng-519	268	8	of	of	ADP
fumecheng-519	268	9	clp	clp	PROPN
fumecheng-519	268	10	for	for	ADP
fumecheng-519	268	11	the	the	DET
fumecheng-519	268	12	uniform	uniform	PROPN
fumecheng-519	268	13	euler	euler	PROPN
fumecheng-519	268	14	-	-	PUNCT
fumecheng-519	268	15	bernoulli	bernoulli	PROPN
fumecheng-519	268	16	beam	beam	NOUN
fumecheng-519	268	17	0	0	NUM
fumecheng-519	268	18	or	or	CCONJ
fumecheng-519	268	19	1	1	NUM
fumecheng-519	268	20	,	,	PUNCT
fumecheng-519	268	21	i.e.	i.e.	X
fumecheng-519	268	22	the	the	DET
fumecheng-519	268	23	critical	critical	ADJ
fumecheng-519	268	24	force	force	NOUN
fumecheng-519	268	25	is	be	AUX
fumecheng-519	268	26	:	:	PUNCT
fumecheng-519	268	27	1	1	NUM
fumecheng-519	268	28	2	2	NUM
fumecheng-519	268	29	,	,	PUNCT
fumecheng-519	268	30	1	1	NUM
fumecheng-519	268	31	,	,	PUNCT
fumecheng-519	268	32	(	(	PUNCT
fumecheng-519	268	33	0	0	NUM
fumecheng-519	268	34	)	)	PUNCT
fumecheng-519	268	35	,	,	PUNCT
fumecheng-519	268	36	(	(	PUNCT
fumecheng-519	268	37	1	1	X
fumecheng-519	268	38	)	)	PUNCT
fumecheng-519	268	39	cr	cr	PROPN
fumecheng-519	268	40	cr	cr	ADP
fumecheng-519	268	41	u	u	PROPN
fumecheng-519	268	42	cr	cr	PROPN
fumecheng-519	268	43	cr	cr	PROPN
fumecheng-519	268	44	u	u	PROPN
fumecheng-519	268	45	r	r	PROPN
fumecheng-519	268	46	r	r	PROPN
fumecheng-519	268	47			PROPN
fumecheng-519	269	1			PROPN
fumecheng-519	269	2			NOUN
fumecheng-519	269	3			VERB
fumecheng-519	269	4			NUM
fumecheng-519	269	5			NUM
fumecheng-519	269	6			NOUN
fumecheng-519	269	7	,	,	PUNCT
fumecheng-519	269	8	(	(	PUNCT
fumecheng-519	269	9	29	29	NUM
fumecheng-519	269	10	)	)	PUNCT
fumecheng-519	269	11	the	the	DET
fumecheng-519	269	12	previous	previous	ADJ
fumecheng-519	269	13	expression	expression	NOUN
fumecheng-519	269	14	applies	apply	VERB
fumecheng-519	269	15	to	to	ADP
fumecheng-519	269	16	all	all	DET
fumecheng-519	269	17	the	the	DET
fumecheng-519	269	18	types	type	NOUN
fumecheng-519	269	19	of	of	ADP
fumecheng-519	269	20	supports	support	NOUN
fumecheng-519	269	21	.	.	PUNCT
fumecheng-519	270	1	the	the	DET
fumecheng-519	270	2	clp	clp	PROPN
fumecheng-519	270	3	values	value	NOUN
fumecheng-519	270	4	for	for	ADP
fumecheng-519	270	5	timoshenko	timoshenko	NOUN
fumecheng-519	270	6	-	-	PUNCT
fumecheng-519	270	7	beam	beam	NOUN
fumecheng-519	270	8	are	be	AUX
fumecheng-519	270	9	higher	high	ADJ
fumecheng-519	270	10	which	which	PRON
fumecheng-519	270	11	means	mean	VERB
fumecheng-519	270	12	that	that	SCONJ
fumecheng-519	270	13	the	the	DET
fumecheng-519	270	14	critical	critical	ADJ
fumecheng-519	270	15	force	force	NOUN
fumecheng-519	270	16	has	have	VERB
fumecheng-519	270	17	less	less	ADJ
fumecheng-519	270	18	value	value	NOUN
fumecheng-519	270	19	.	.	PUNCT
fumecheng-519	271	1	in	in	ADP
fumecheng-519	271	2	order	order	NOUN
fumecheng-519	271	3	to	to	PART
fumecheng-519	271	4	show	show	VERB
fumecheng-519	271	5	the	the	DET
fumecheng-519	271	6	trend	trend	NOUN
fumecheng-519	271	7	of	of	ADP
fumecheng-519	271	8	the	the	DET
fumecheng-519	271	9	change	change	NOUN
fumecheng-519	271	10	in	in	ADP
fumecheng-519	271	11	the	the	DET
fumecheng-519	271	12	clp	clp	NOUN
fumecheng-519	271	13	value	value	NOUN
fumecheng-519	271	14	depending	depend	VERB
fumecheng-519	271	15	on	on	ADP
fumecheng-519	271	16	step	step	NOUN
fumecheng-519	271	17	position	position	NOUN
fumecheng-519	271	18	r1	r1	PROPN
fumecheng-519	271	19	,	,	PUNCT
fumecheng-519	271	20	the	the	DET
fumecheng-519	271	21	clt	clt	NOUN
fumecheng-519	271	22	values	value	NOUN
fumecheng-519	271	23	for	for	ADP
fumecheng-519	271	24	other	other	ADJ
fumecheng-519	271	25	values	value	NOUN
fumecheng-519	271	26	of	of	ADP
fumecheng-519	271	27	r1	r1	PROPN
fumecheng-519	271	28	with	with	ADP
fumecheng-519	271	29	the	the	DET
fumecheng-519	271	30	step	step	NOUN
fumecheng-519	271	31	of	of	ADP
fumecheng-519	271	32	0.001	0.001	NUM
fumecheng-519	271	33	are	be	AUX
fumecheng-519	271	34	calculated	calculate	VERB
fumecheng-519	271	35	and	and	CCONJ
fumecheng-519	271	36	graphically	graphically	ADV
fumecheng-519	271	37	displayed	display	VERB
fumecheng-519	271	38	.	.	PUNCT
fumecheng-519	272	1	critical	critical	ADJ
fumecheng-519	272	2	load	load	NOUN
fumecheng-519	272	3	parameter	parameter	NOUN
fumecheng-519	272	4	of	of	ADP
fumecheng-519	272	5	a	a	DET
fumecheng-519	272	6	timoshenko	timoshenko	ADJ
fumecheng-519	272	7	beam	beam	NOUN
fumecheng-519	272	8	with	with	ADP
fumecheng-519	272	9	one	one	NUM
fumecheng-519	272	10	-	-	PUNCT
fumecheng-519	272	11	step	step	NOUN
fumecheng-519	272	12	change	change	NOUN
fumecheng-519	272	13	in	in	ADP
fumecheng-519	272	14	cross	cross	NOUN
fumecheng-519	272	15	section	section	NOUN
fumecheng-519	272	16	269	269	NUM
fumecheng-519	272	17	the	the	DET
fumecheng-519	272	18	fig	fig	NOUN
fumecheng-519	272	19	.	.	PUNCT
fumecheng-519	273	1	4	4	NUM
fumecheng-519	273	2	shows	show	VERB
fumecheng-519	273	3	the	the	DET
fumecheng-519	273	4	clp	clp	PROPN
fumecheng-519	273	5	dependence	dependence	NOUN
fumecheng-519	273	6	on	on	ADP
fumecheng-519	273	7	changes	change	NOUN
fumecheng-519	273	8	r1	r1	NOUN
fumecheng-519	273	9	for	for	ADP
fumecheng-519	273	10	values	value	NOUN
fumecheng-519	273	11	2	2	NUM
fumecheng-519	273	12	=	=	SYM
fumecheng-519	273	13	0.8	0.8	NUM
fumecheng-519	273	14	and	and	CCONJ
fumecheng-519	273	15			NUM
fumecheng-519	273	16	=	=	SYM
fumecheng-519	273	17	1/20	1/20	NUM
fumecheng-519	273	18	&	&	CCONJ
fumecheng-519	273	19	1/100	1/100	NUM
fumecheng-519	273	20	considering	consider	VERB
fumecheng-519	273	21	the	the	DET
fumecheng-519	273	22	influence	influence	NOUN
fumecheng-519	273	23	of	of	ADP
fumecheng-519	273	24	the	the	DET
fumecheng-519	273	25	beam	beam	NOUN
fumecheng-519	273	26	type	type	NOUN
fumecheng-519	273	27	.	.	PUNCT
fumecheng-519	274	1	it	it	PRON
fumecheng-519	274	2	can	can	AUX
fumecheng-519	274	3	be	be	AUX
fumecheng-519	274	4	noticed	notice	VERB
fumecheng-519	274	5	that	that	SCONJ
fumecheng-519	274	6	the	the	DET
fumecheng-519	274	7	clp	clp	PROPN
fumecheng-519	274	8	values	value	NOUN
fumecheng-519	274	9	are	be	AUX
fumecheng-519	274	10	maximal	maximal	ADJ
fumecheng-519	274	11	for	for	ADP
fumecheng-519	274	12	beam	beam	ADJ
fumecheng-519	274	13	type	type	NOUN
fumecheng-519	274	14	3	3	NUM
fumecheng-519	274	15	,	,	PUNCT
fumecheng-519	274	16	while	while	SCONJ
fumecheng-519	274	17	for	for	ADP
fumecheng-519	274	18	beam	beam	NOUN
fumecheng-519	274	19	type	type	NOUN
fumecheng-519	274	20	1	1	NUM
fumecheng-519	274	21	are	be	AUX
fumecheng-519	274	22	minimal	minimal	ADJ
fumecheng-519	274	23	.	.	PUNCT
fumecheng-519	275	1	for	for	ADP
fumecheng-519	275	2	larger	large	ADJ
fumecheng-519	275	3	values	value	NOUN
fumecheng-519	275	4	of	of	ADP
fumecheng-519	275	5	δ	δ	PROPN
fumecheng-519	275	6	(	(	PUNCT
fumecheng-519	275	7	greater	great	ADJ
fumecheng-519	275	8	influence	influence	NOUN
fumecheng-519	275	9	of	of	ADP
fumecheng-519	275	10	shear	shear	NOUN
fumecheng-519	275	11	)	)	PUNCT
fumecheng-519	275	12	in	in	ADP
fumecheng-519	275	13	the	the	DET
fumecheng-519	275	14	case	case	NOUN
fumecheng-519	275	15	when	when	SCONJ
fumecheng-519	275	16	the	the	DET
fumecheng-519	275	17	step	step	NOUN
fumecheng-519	275	18	position	position	NOUN
fumecheng-519	275	19	is	be	AUX
fumecheng-519	275	20	near	near	ADP
fumecheng-519	275	21	the	the	DET
fumecheng-519	275	22	supports	support	NOUN
fumecheng-519	275	23	,	,	PUNCT
fumecheng-519	275	24	the	the	DET
fumecheng-519	275	25	clp	clp	NOUN
fumecheng-519	275	26	values	value	NOUN
fumecheng-519	275	27	are	be	AUX
fumecheng-519	275	28	maximal	maximal	ADJ
fumecheng-519	275	29	for	for	ADP
fumecheng-519	275	30	type	type	NOUN
fumecheng-519	275	31	1	1	NUM
fumecheng-519	275	32	and	and	CCONJ
fumecheng-519	275	33	minimal	minimal	ADJ
fumecheng-519	275	34	for	for	ADP
fumecheng-519	275	35	type	type	NOUN
fumecheng-519	275	36	3	3	NUM
fumecheng-519	275	37	.	.	PUNCT
fumecheng-519	276	1	the	the	DET
fumecheng-519	276	2	clp	clp	PROPN
fumecheng-519	276	3	dependence	dependence	NOUN
fumecheng-519	276	4	on	on	ADP
fumecheng-519	276	5	changes	change	NOUN
fumecheng-519	276	6	r1	r1	NOUN
fumecheng-519	276	7	for	for	ADP
fumecheng-519	276	8	types	type	NOUN
fumecheng-519	276	9	1	1	NUM
fumecheng-519	276	10	and	and	CCONJ
fumecheng-519	276	11	3	3	NUM
fumecheng-519	276	12	and	and	CCONJ
fumecheng-519	276	13	value	value	VERB
fumecheng-519	276	14			NUM
fumecheng-519	276	15	=	=	SYM
fumecheng-519	276	16	1/20	1/20	NUM
fumecheng-519	276	17	,	,	PUNCT
fumecheng-519	276	18	considering	consider	VERB
fumecheng-519	276	19	the	the	DET
fumecheng-519	276	20	influence	influence	NOUN
fumecheng-519	276	21	of	of	ADP
fumecheng-519	276	22	relations	relation	NOUN
fumecheng-519	276	23	2	2	PROPN
fumecheng-519	276	24	,	,	PUNCT
fumecheng-519	276	25	is	be	AUX
fumecheng-519	276	26	shown	show	VERB
fumecheng-519	276	27	in	in	ADP
fumecheng-519	276	28	fig	fig	NOUN
fumecheng-519	276	29	.	.	PUNCT
fumecheng-519	277	1	5	5	NUM
fumecheng-519	277	2	.	.	X
fumecheng-519	277	3	for	for	ADP
fumecheng-519	277	4	smaller	small	ADJ
fumecheng-519	277	5	values	value	NOUN
fumecheng-519	277	6	2	2	PROPN
fumecheng-519	277	7	,	,	PUNCT
fumecheng-519	277	8	the	the	DET
fumecheng-519	277	9	clp	clp	NOUN
fumecheng-519	277	10	has	have	VERB
fumecheng-519	277	11	higher	high	ADJ
fumecheng-519	277	12	values	value	NOUN
fumecheng-519	277	13	except	except	SCONJ
fumecheng-519	277	14	in	in	ADP
fumecheng-519	277	15	the	the	DET
fumecheng-519	277	16	case	case	NOUN
fumecheng-519	277	17	when	when	SCONJ
fumecheng-519	277	18	the	the	DET
fumecheng-519	277	19	step	step	NOUN
fumecheng-519	277	20	position	position	NOUN
fumecheng-519	277	21	is	be	AUX
fumecheng-519	277	22	near	near	ADP
fumecheng-519	277	23	the	the	DET
fumecheng-519	277	24	supports	support	NOUN
fumecheng-519	277	25	;	;	PUNCT
fumecheng-519	277	26	then	then	ADV
fumecheng-519	277	27	the	the	DET
fumecheng-519	277	28	clp	clp	NOUN
fumecheng-519	277	29	has	have	VERB
fumecheng-519	277	30	higher	high	ADJ
fumecheng-519	277	31	values	value	NOUN
fumecheng-519	277	32	for	for	ADP
fumecheng-519	277	33	greater	great	ADJ
fumecheng-519	277	34	values	value	NOUN
fumecheng-519	277	35	2	2	NUM
fumecheng-519	277	36	.	.	PUNCT
fumecheng-519	277	37	table	table	NOUN
fumecheng-519	277	38	1	1	NUM
fumecheng-519	277	39	clp	clp	NOUN
fumecheng-519	277	40	for	for	ADP
fumecheng-519	277	41	pn	pn	PROPN
fumecheng-519	277	42	-	-	PUNCT
fumecheng-519	277	43	pn	pn	PROPN
fumecheng-519	277	44	beam	beam	NOUN
fumecheng-519	277	45	table	table	NOUN
fumecheng-519	277	46	2	2	NUM
fumecheng-519	277	47	clp	clp	NOUN
fumecheng-519	277	48	for	for	ADP
fumecheng-519	277	49	cl	cl	NOUN
fumecheng-519	277	50	-	-	PUNCT
fumecheng-519	277	51	cl	cl	NOUN
fumecheng-519	277	52	beam	beam	NOUN
fumecheng-519	277	53	1r	1r	NUM
fumecheng-519	277	54	type	type	NOUN
fumecheng-519	277	55			NUM
fumecheng-519	277	56	2	2	NUM
fumecheng-519	277	57	1r	1r	NUM
fumecheng-519	277	58	type	type	NOUN
fumecheng-519	277	59			NUM
fumecheng-519	277	60	2	2	NUM
fumecheng-519	277	61	0.6	0.6	NUM
fumecheng-519	277	62	0.7	0.7	NUM
fumecheng-519	277	63	0.8	0.8	NUM
fumecheng-519	277	64	0.8	0.8	NUM
fumecheng-519	277	65	0.7	0.7	NUM
fumecheng-519	277	66	0.8	0.8	NUM
fumecheng-519	277	67	0	0	NUM
fumecheng-519	277	68	1	1	NUM
fumecheng-519	277	69	20	20	NUM
fumecheng-519	277	70	1.0125184	1.0125184	NUM
fumecheng-519	277	71	1.0179287	1.0179287	NUM
fumecheng-519	277	72	1.0286575	1.0286575	NUM
fumecheng-519	277	73	0	0	NUM
fumecheng-519	277	74	1	1	NUM
fumecheng-519	277	75	20	20	NUM
fumecheng-519	277	76	1.0496005	1.0496005	NUM
fumecheng-519	277	77	1.0710373	1.0710373	NUM
fumecheng-519	277	78	1.1135468	1.1135468	NUM
fumecheng-519	277	79	100	100	NUM
fumecheng-519	277	80	1.0005022	1.0005022	NUM
fumecheng-519	277	81	1.0007193	1.0007193	NUM
fumecheng-519	277	82	1.0011497	1.0011497	NUM
fumecheng-519	277	83	100	100	NUM
fumecheng-519	277	84	1.0020083	1.0020083	NUM
fumecheng-519	277	85	1.0028763	1.0028763	NUM
fumecheng-519	277	86	1.0045974	1.0045974	NUM
fumecheng-519	277	87	eb	eb	PROPN
fumecheng-519	277	88	1	1	NUM
fumecheng-519	277	89	1	1	NUM
fumecheng-519	277	90	1	1	NUM
fumecheng-519	277	91	eb	eb	PROPN
fumecheng-519	277	92	1	1	NUM
fumecheng-519	277	93	1	1	NUM
fumecheng-519	277	94	1	1	NUM
fumecheng-519	277	95	2	2	NUM
fumecheng-519	277	96	20	20	NUM
fumecheng-519	277	97	1.0015053	1.0015053	NUM
fumecheng-519	277	98	1.0029331	1.0029331	NUM
fumecheng-519	277	99	1.0061206	1.0061206	NUM
fumecheng-519	277	100	2	2	NUM
fumecheng-519	277	101	20	20	NUM
fumecheng-519	277	102	1.0060004	1.0060004	NUM
fumecheng-519	277	103	1.0116777	1.0116777	NUM
fumecheng-519	277	104	1.0243335	1.0243335	NUM
fumecheng-519	277	105	100	100	NUM
fumecheng-519	277	106	1.0000603	1.0000603	NUM
fumecheng-519	277	107	1.0001175	1.0001175	NUM
fumecheng-519	277	108	1.0002453	1.0002453	NUM
fumecheng-519	277	109	100	100	NUM
fumecheng-519	277	110	1.0002411	1.0002411	NUM
fumecheng-519	277	111	1.0004699	1.0004699	NUM
fumecheng-519	277	112	1.000981	1.000981	NUM
fumecheng-519	277	113	eb	eb	PROPN
fumecheng-519	277	114	1	1	NUM
fumecheng-519	277	115	1	1	NUM
fumecheng-519	277	116	1	1	NUM
fumecheng-519	277	117	eb	eb	PROPN
fumecheng-519	277	118	1	1	NUM
fumecheng-519	277	119	1	1	NUM
fumecheng-519	277	120	1	1	NUM
fumecheng-519	277	121	3	3	NUM
fumecheng-519	277	122	20	20	NUM
fumecheng-519	277	123	1.0007843	1.0007843	NUM
fumecheng-519	277	124	1.0015284	1.0015284	NUM
fumecheng-519	277	125	1.0031898	1.0031898	NUM
fumecheng-519	277	126	3	3	NUM
fumecheng-519	277	127	20	20	NUM
fumecheng-519	277	128	1.0031296	1.0031296	NUM
fumecheng-519	277	129	1.0060937	1.0060937	NUM
fumecheng-519	277	130	1.0127052	1.0127052	NUM
fumecheng-519	277	131	100	100	NUM
fumecheng-519	277	132	1.0000314	1.0000314	NUM
fumecheng-519	277	133	1.0000612	1.0000612	NUM
fumecheng-519	277	134	1.0001277	1.0001277	NUM
fumecheng-519	277	135	100	100	NUM
fumecheng-519	277	136	1.0001256	1.0001256	NUM
fumecheng-519	277	137	1.0002448	1.0002448	NUM
fumecheng-519	277	138	1.000511	1.000511	NUM
fumecheng-519	277	139	eb	eb	PROPN
fumecheng-519	277	140	1	1	NUM
fumecheng-519	277	141	1	1	NUM
fumecheng-519	277	142	1	1	NUM
fumecheng-519	277	143	eb	eb	PROPN
fumecheng-519	277	144	1	1	NUM
fumecheng-519	277	145	1	1	NUM
fumecheng-519	277	146	1	1	NUM
fumecheng-519	277	147	0.3	0.3	NUM
fumecheng-519	277	148	1	1	NUM
fumecheng-519	277	149	20	20	NUM
fumecheng-519	277	150	0.9004332	0.9004332	NUM
fumecheng-519	277	151	0.8963132	0.8963132	NUM
fumecheng-519	277	152	0.8978066	0.8978066	NUM
fumecheng-519	277	153	0.3	0.3	NUM
fumecheng-519	277	154	1	1	NUM
fumecheng-519	277	155	20	20	NUM
fumecheng-519	277	156	0.790734	0.790734	NUM
fumecheng-519	277	157	0.817013	0.817013	NUM
fumecheng-519	277	158	0.8632652	0.8632652	NUM
fumecheng-519	277	159	100	100	NUM
fumecheng-519	277	160	0.8881282	0.8881282	NUM
fumecheng-519	277	161	0.8788707	0.8788707	NUM
fumecheng-519	277	162	0.8701333	0.8701333	NUM
fumecheng-519	277	163	100	100	NUM
fumecheng-519	277	164	0.7347316	0.7347316	NUM
fumecheng-519	277	165	0.7407416	0.7407416	NUM
fumecheng-519	277	166	0.7464902	0.7464902	NUM
fumecheng-519	277	167	eb	eb	PROPN
fumecheng-519	277	168	0.887614	0.887614	NUM
fumecheng-519	277	169	0.8781417	0.8781417	NUM
fumecheng-519	277	170	0.8689767	0.8689767	NUM
fumecheng-519	277	171	eb	eb	PROPN
fumecheng-519	277	172	0.7323622	0.7323622	NUM
fumecheng-519	277	173	0.7375177	0.7375177	NUM
fumecheng-519	277	174	0.7415579	0.7415579	NUM
fumecheng-519	277	175	2	2	NUM
fumecheng-519	277	176	20	20	NUM
fumecheng-519	277	177	0.931096	0.931096	NUM
fumecheng-519	277	178	0.9173096	0.9173096	NUM
fumecheng-519	277	179	0.9027403	0.9027403	NUM
fumecheng-519	277	180	2	2	NUM
fumecheng-519	277	181	20	20	NUM
fumecheng-519	277	182	0.7203619	0.7203619	NUM
fumecheng-519	277	183	0.7308869	0.7308869	NUM
fumecheng-519	277	184	0.7564571	0.7564571	NUM
fumecheng-519	277	185	100	100	NUM
fumecheng-519	277	186	0.9295037	0.9295037	NUM
fumecheng-519	277	187	0.9142647	0.9142647	NUM
fumecheng-519	277	188	0.8965305	0.8965305	NUM
fumecheng-519	277	189	100	100	NUM
fumecheng-519	277	190	0.7112445	0.7112445	NUM
fumecheng-519	277	191	0.7154073	0.7154073	NUM
fumecheng-519	277	192	0.7280566	0.7280566	NUM
fumecheng-519	277	193	eb	eb	PROPN
fumecheng-519	277	194	0.9294372	0.9294372	NUM
fumecheng-519	277	195	0.9141376	0.9141376	NUM
fumecheng-519	277	196	0.8962712	0.8962712	NUM
fumecheng-519	277	197	eb	eb	PROPN
fumecheng-519	277	198	0.7108618	0.7108618	NUM
fumecheng-519	277	199	0.7147567	0.7147567	NUM
fumecheng-519	277	200	0.7268615	0.7268615	NUM
fumecheng-519	277	201	3	3	NUM
fumecheng-519	277	202	20	20	NUM
fumecheng-519	277	203	0.942686	0.942686	NUM
fumecheng-519	277	204	0.9280114	0.9280114	NUM
fumecheng-519	277	205	0.910252	0.910252	NUM
fumecheng-519	277	206	3	3	NUM
fumecheng-519	277	207	20	20	NUM
fumecheng-519	277	208	0.7310421	0.7310421	NUM
fumecheng-519	277	209	0.7198191	0.7198191	NUM
fumecheng-519	277	210	0.736254	0.736254	NUM
fumecheng-519	277	211	100	100	NUM
fumecheng-519	277	212	0.9418468	0.9418468	NUM
fumecheng-519	278	1	0.9264071	0.9264071	NUM
fumecheng-519	278	2	0.9069895	0.9069895	NUM
fumecheng-519	278	3	100	100	NUM
fumecheng-519	278	4	0.7257155	0.7257155	NUM
fumecheng-519	278	5	0.7107592	0.7107592	NUM
fumecheng-519	278	6	0.7202147	0.7202147	NUM
fumecheng-519	278	7	eb	eb	PROPN
fumecheng-519	278	8	0.9418118	0.9418118	NUM
fumecheng-519	278	9	0.9263402	0.9263402	NUM
fumecheng-519	278	10	0.9068534	0.9068534	NUM
fumecheng-519	278	11	eb	eb	PROPN
fumecheng-519	278	12	0.7254923	0.7254923	NUM
fumecheng-519	278	13	0.7103792	0.7103792	NUM
fumecheng-519	278	14	0.7195413	0.7195413	NUM
fumecheng-519	278	15	0.5	0.5	NUM
fumecheng-519	278	16	1	1	NUM
fumecheng-519	278	17	20	20	NUM
fumecheng-519	278	18	0.6063826	0.6063826	NUM
fumecheng-519	278	19	0.5844888	0.5844888	NUM
fumecheng-519	278	20	0.570687	0.570687	NUM
fumecheng-519	278	21	0.5	0.5	NUM
fumecheng-519	278	22	1	1	NUM
fumecheng-519	278	23	20	20	NUM
fumecheng-519	278	24	0.6444095	0.6444095	NUM
fumecheng-519	278	25	0.6400219	0.6400219	NUM
fumecheng-519	279	1	0.6578166	0.6578166	NUM
fumecheng-519	279	2	100	100	NUM
fumecheng-519	279	3	0.5934776	0.5934776	NUM
fumecheng-519	279	4	0.5666266	0.5666266	NUM
fumecheng-519	279	5	0.5427583	0.5427583	NUM
fumecheng-519	279	6	100	100	NUM
fumecheng-519	279	7	0.5907593	0.5907593	NUM
fumecheng-519	279	8	0.5673238	0.5673238	NUM
fumecheng-519	279	9	0.5458978	0.5458978	NUM
fumecheng-519	279	10	eb	eb	NOUN
fumecheng-519	279	11	0.5929383	0.5929383	NUM
fumecheng-519	279	12	0.5658802	0.5658802	NUM
fumecheng-519	279	13	0.541591	0.541591	NUM
fumecheng-519	279	14	eb	eb	NOUN
fumecheng-519	279	15	0.5884946	0.5884946	NUM
fumecheng-519	279	16	0.5642562	0.5642562	NUM
fumecheng-519	279	17	0.5411757	0.5411757	NUM
fumecheng-519	279	18	2	2	NUM
fumecheng-519	279	19	20	20	NUM
fumecheng-519	279	20	0.7353931	0.7353931	NUM
fumecheng-519	279	21	0.6824913	0.6824913	NUM
fumecheng-519	279	22	0.6268342	0.6268342	NUM
fumecheng-519	279	23	2	2	NUM
fumecheng-519	279	24	20	20	NUM
fumecheng-519	279	25	0.6820122	0.6820122	NUM
fumecheng-519	279	26	0.6666843	0.6666843	NUM
fumecheng-519	279	27	0.6408012	0.6408012	NUM
fumecheng-519	279	28	100	100	NUM
fumecheng-519	279	29	0.7333133	0.7333133	NUM
fumecheng-519	279	30	0.6787341	0.6787341	NUM
fumecheng-519	279	31	0.6196697	0.6196697	NUM
fumecheng-519	279	32	100	100	NUM
fumecheng-519	279	33	0.6724187	0.6724187	NUM
fumecheng-519	279	34	0.650626	0.650626	NUM
fumecheng-519	279	35	0.6114626	0.6114626	NUM
fumecheng-519	279	36	eb	eb	NOUN
fumecheng-519	279	37	0.7332265	0.7332265	NUM
fumecheng-519	279	38	0.6785773	0.6785773	NUM
fumecheng-519	279	39	0.6193705	0.6193705	NUM
fumecheng-519	279	40	eb	eb	PROPN
fumecheng-519	279	41	0.6720159	0.6720159	NUM
fumecheng-519	279	42	0.649951	0.649951	NUM
fumecheng-519	279	43	0.6102279	0.6102279	NUM
fumecheng-519	279	44	3	3	NUM
fumecheng-519	279	45	20	20	NUM
fumecheng-519	279	46	0.7803152	0.7803152	NUM
fumecheng-519	279	47	0.7240699	0.7240699	NUM
fumecheng-519	279	48	0.6577481	0.6577481	NUM
fumecheng-519	279	49	3	3	NUM
fumecheng-519	279	50	20	20	NUM
fumecheng-519	279	51	0.6807354	0.6807354	NUM
fumecheng-519	279	52	0.6787212	0.6787212	NUM
fumecheng-519	279	53	0.6520273	0.6520273	NUM
fumecheng-519	279	54	100	100	NUM
fumecheng-519	279	55	0.7791806	0.7791806	NUM
fumecheng-519	279	56	0.7220238	0.7220238	NUM
fumecheng-519	279	57	0.6539021	0.6539021	NUM
fumecheng-519	279	58	100	100	NUM
fumecheng-519	279	59	0.6746779	0.6746779	NUM
fumecheng-519	279	60	0.6692922	0.6692922	NUM
fumecheng-519	279	61	0.635663	0.635663	NUM
fumecheng-519	279	62	eb	eb	PROPN
fumecheng-519	279	63	0.7791332	0.7791332	NUM
fumecheng-519	279	64	0.7219384	0.7219384	NUM
fumecheng-519	279	65	0.6537418	0.6537418	NUM
fumecheng-519	279	66	eb	eb	NOUN
fumecheng-519	279	67	0.6744238	0.6744238	NUM
fumecheng-519	279	68	0.6688966	0.6688966	NUM
fumecheng-519	279	69	0.6349761	0.6349761	NUM
fumecheng-519	279	70	0.7	0.7	NUM
fumecheng-519	279	71	1	1	NUM
fumecheng-519	279	72	20	20	NUM
fumecheng-519	279	73	0.2156296	0.2156296	NUM
fumecheng-519	279	74	0.202338	0.202338	NUM
fumecheng-519	279	75	0.198505	0.198505	NUM
fumecheng-519	279	76	0.7	0.7	NUM
fumecheng-519	279	77	1	1	NUM
fumecheng-519	279	78	20	20	NUM
fumecheng-519	279	79	0.2989858	0.2989858	NUM
fumecheng-519	279	80	0.3163953	0.3163953	NUM
fumecheng-519	279	81	0.3576915	0.3576915	NUM
fumecheng-519	279	82	100	100	NUM
fumecheng-519	279	83	0.2028625	0.2028625	NUM
fumecheng-519	279	84	0.1846704	0.1846704	NUM
fumecheng-519	279	85	0.1707437	0.1707437	NUM
fumecheng-519	279	86	100	100	NUM
fumecheng-519	279	87	0.2562517	0.2562517	NUM
fumecheng-519	279	88	0.2540968	0.2540968	NUM
fumecheng-519	279	89	0.2552395	0.2552395	NUM
fumecheng-519	279	90	eb	eb	NOUN
fumecheng-519	279	91	0.2023291	0.2023291	NUM
fumecheng-519	279	92	0.1839321	0.1839321	NUM
fumecheng-519	279	93	0.1695835	0.1695835	NUM
fumecheng-519	279	94	eb	eb	NOUN
fumecheng-519	279	95	0.2544512	0.2544512	NUM
fumecheng-519	279	96	0.2514707	0.2514707	NUM
fumecheng-519	279	97	0.2509195	0.2509195	NUM
fumecheng-519	279	98	2	2	NUM
fumecheng-519	279	99	20	20	NUM
fumecheng-519	279	100	0.3712844	0.3712844	NUM
fumecheng-519	279	101	0.2909344	0.2909344	NUM
fumecheng-519	279	102	0.2322638	0.2322638	NUM
fumecheng-519	279	103	2	2	NUM
fumecheng-519	279	104	20	20	NUM
fumecheng-519	279	105	0.3812923	0.3812923	NUM
fumecheng-519	279	106	0.3147333	0.3147333	NUM
fumecheng-519	279	107	0.2932055	0.2932055	NUM
fumecheng-519	279	108	100	100	NUM
fumecheng-519	279	109	0.3680207	0.3680207	NUM
fumecheng-519	279	110	0.2858599	0.2858599	NUM
fumecheng-519	279	111	0.22374	0.22374	NUM
fumecheng-519	279	112	100	100	NUM
fumecheng-519	279	113	0.368565	0.368565	NUM
fumecheng-519	279	114	0.2960827	0.2960827	NUM
fumecheng-519	279	115	0.2620313	0.2620313	NUM
fumecheng-519	279	116	eb	eb	NOUN
fumecheng-519	279	117	0.3678844	0.3678844	NUM
fumecheng-519	279	118	0.2856479	0.2856479	NUM
fumecheng-519	279	119	0.2233838	0.2233838	NUM
fumecheng-519	279	120	eb	eb	PROPN
fumecheng-519	279	121	0.3680302	0.3680302	NUM
fumecheng-519	279	122	0.2952983	0.2952983	NUM
fumecheng-519	279	123	0.2607184	0.2607184	NUM
fumecheng-519	279	124	3	3	NUM
fumecheng-519	279	125	20	20	NUM
fumecheng-519	279	126	0.4593584	0.4593584	NUM
fumecheng-519	279	127	0.3517904	0.3517904	NUM
fumecheng-519	279	128	0.2614351	0.2614351	NOUN
fumecheng-519	279	129	3	3	NUM
fumecheng-519	279	130	20	20	NUM
fumecheng-519	279	131	0.4648444	0.4648444	NUM
fumecheng-519	279	132	0.3611526	0.3611526	NUM
fumecheng-519	279	133	0.2934004	0.2934004	NUM
fumecheng-519	279	134	100	100	NUM
fumecheng-519	279	135	0.4573784	0.4573784	NUM
fumecheng-519	279	136	0.3488207	0.3488207	NUM
fumecheng-519	279	137	0.2567818	0.2567818	NUM
fumecheng-519	279	138	100	100	NUM
fumecheng-519	279	139	0.4566664	0.4566664	NUM
fumecheng-519	279	140	0.3498693	0.3498693	NUM
fumecheng-519	279	141	0.2770316	0.2770316	NUM
fumecheng-519	279	142	eb	eb	PROPN
fumecheng-519	279	143	0.4572958	0.4572958	NUM
fumecheng-519	279	144	0.3486968	0.3486968	NUM
fumecheng-519	279	145	0.2565878	0.2565878	NUM
fumecheng-519	279	146	eb	eb	PROPN
fumecheng-519	279	147	0.4563232	0.4563232	NUM
fumecheng-519	279	148	0.3493967	0.3493967	NUM
fumecheng-519	279	149	0.276345	0.276345	NUM
fumecheng-519	279	150	1	1	NUM
fumecheng-519	279	151	1	1	NUM
fumecheng-519	279	152	20	20	NUM
fumecheng-519	279	153	0.0125184	0.0125184	NUM
fumecheng-519	279	154	0.0179287	0.0179287	NUM
fumecheng-519	279	155	0.0286575	0.0286575	NUM
fumecheng-519	279	156	1	1	NUM
fumecheng-519	279	157	1	1	NUM
fumecheng-519	279	158	20	20	NUM
fumecheng-519	279	159	0.0496005	0.0496005	NUM
fumecheng-519	279	160	0.0710373	0.0710373	NUM
fumecheng-519	279	161	0.1135468	0.1135468	NUM
fumecheng-519	279	162	100	100	NUM
fumecheng-519	279	163	0.0005022	0.0005022	NUM
fumecheng-519	279	164	0.0007193	0.0007193	NUM
fumecheng-519	279	165	0.0011497	0.0011497	NUM
fumecheng-519	279	166	100	100	NUM
fumecheng-519	279	167	0.0020083	0.0020083	NUM
fumecheng-519	279	168	0.0028763	0.0028763	NUM
fumecheng-519	279	169	0.0045974	0.0045974	NUM
fumecheng-519	279	170	eb	eb	NOUN
fumecheng-519	279	171	0	0	NUM
fumecheng-519	279	172	0	0	NUM
fumecheng-519	279	173	0	0	NUM
fumecheng-519	279	174	eb	eb	PROPN
fumecheng-519	279	175	0	0	NUM
fumecheng-519	279	176	0	0	NUM
fumecheng-519	279	177	0	0	NUM
fumecheng-519	279	178	2	2	NUM
fumecheng-519	279	179	20	20	NUM
fumecheng-519	279	180	0.0041728	0.0041728	NUM
fumecheng-519	279	181	0.0059762	0.0059762	NUM
fumecheng-519	279	182	0.0095525	0.0095525	NUM
fumecheng-519	279	183	2	2	NUM
fumecheng-519	279	184	20	20	NUM
fumecheng-519	279	185	0.0165335	0.0165335	NUM
fumecheng-519	279	186	0.0236791	0.0236791	NUM
fumecheng-519	279	187	0.0378489	0.0378489	NUM
fumecheng-519	279	188	100	100	NUM
fumecheng-519	279	189	0.0001674	0.0001674	NUM
fumecheng-519	279	190	0.0002398	0.0002398	NUM
fumecheng-519	279	191	0.0003832	0.0003832	NUM
fumecheng-519	279	192	100	100	NUM
fumecheng-519	279	193	0.0006694	0.0006694	NUM
fumecheng-519	279	194	0.0009588	0.0009588	NUM
fumecheng-519	279	195	0.0015325	0.0015325	NUM
fumecheng-519	279	196	eb	eb	PROPN
fumecheng-519	279	197	0	0	NUM
fumecheng-519	279	198	0	0	NUM
fumecheng-519	279	199	0	0	NUM
fumecheng-519	279	200	eb	eb	PROPN
fumecheng-519	279	201	0	0	NUM
fumecheng-519	279	202	0	0	NUM
fumecheng-519	279	203	0	0	NUM
fumecheng-519	279	204	3	3	NUM
fumecheng-519	279	205	20	20	NUM
fumecheng-519	279	206	0.0021755	0.0021755	NUM
fumecheng-519	279	207	0.0031157	0.0031157	NUM
fumecheng-519	279	208	0.0049801	0.0049801	NUM
fumecheng-519	279	209	3	3	NUM
fumecheng-519	279	210	20	20	NUM
fumecheng-519	279	211	0.0086444	0.0086444	NUM
fumecheng-519	279	212	0.0123804	0.0123804	NUM
fumecheng-519	279	213	0.019789	0.019789	NUM
fumecheng-519	279	214	100	100	NUM
fumecheng-519	279	215	0.000087	0.000087	NUM
fumecheng-519	279	216	0.0001249	0.0001249	NUM
fumecheng-519	279	217	0.0001996	0.0001996	NUM
fumecheng-519	279	218	100	100	NUM
fumecheng-519	279	219	0.0003487	0.0003487	NUM
fumecheng-519	279	220	0.0004994	0.0004994	NUM
fumecheng-519	279	221	0.0007983	0.0007983	NUM
fumecheng-519	279	222	eb	eb	PROPN
fumecheng-519	279	223	0	0	NUM
fumecheng-519	279	224	0	0	NUM
fumecheng-519	279	225	0	0	NUM
fumecheng-519	279	226	eb	eb	PROPN
fumecheng-519	279	227	0	0	NUM
fumecheng-519	279	228	0	0	NUM
fumecheng-519	279	229	0	0	NUM
fumecheng-519	279	230	270	270	NUM
fumecheng-519	279	231	g.	g.	NOUN
fumecheng-519	279	232	janevski	janevski	PROPN
fumecheng-519	279	233	,	,	PUNCT
fumecheng-519	279	234	m.	m.	NOUN
fumecheng-519	279	235	stamenković	stamenković	PROPN
fumecheng-519	279	236	,	,	PUNCT
fumecheng-519	279	237	m.	m.	NOUN
fumecheng-519	279	238	seabra	seabra	VERB
fumecheng-519	279	239	fig	fig	NOUN
fumecheng-519	279	240	4	4	NUM
fumecheng-519	279	241	variation	variation	NOUN
fumecheng-519	279	242	of	of	ADP
fumecheng-519	279	243	clp	clp	PROPN
fumecheng-519	279	244	with	with	ADP
fumecheng-519	279	245	r1	r1	PROPN
fumecheng-519	279	246	for	for	ADP
fumecheng-519	279	247	pn	pn	PROPN
fumecheng-519	279	248	-	-	PUNCT
fumecheng-519	279	249	pn	pn	PROPN
fumecheng-519	279	250	beam	beam	NOUN
fumecheng-519	279	251	and	and	CCONJ
fumecheng-519	279	252	2	2	NUM
fumecheng-519	279	253	0.8	0.8	NOUN
fumecheng-519	280	1			NOUN
fumecheng-519	280	2	:	:	PUNCT
fumecheng-519	280	3	a	a	X
fumecheng-519	280	4	)	)	PUNCT
fumecheng-519	280	5	1	1	NUM
fumecheng-519	280	6	20	20	NUM
fumecheng-519	281	1			NUM
fumecheng-519	281	2			PROPN
fumecheng-519	281	3	,	,	PUNCT
fumecheng-519	281	4	b	b	X
fumecheng-519	281	5	)	)	PUNCT
fumecheng-519	281	6	1	1	NUM
fumecheng-519	281	7	100	100	NUM
fumecheng-519	281	8			NUM
fumecheng-519	281	9			NUM
fumecheng-519	281	10	fig	fig	NOUN
fumecheng-519	281	11	5	5	NUM
fumecheng-519	281	12	variation	variation	NOUN
fumecheng-519	281	13	of	of	ADP
fumecheng-519	281	14	clp	clp	PROPN
fumecheng-519	281	15	with	with	ADP
fumecheng-519	281	16	r1	r1	PROPN
fumecheng-519	281	17	for	for	ADP
fumecheng-519	281	18	pn	pn	PROPN
fumecheng-519	281	19	-	-	PUNCT
fumecheng-519	281	20	pn	pn	PROPN
fumecheng-519	281	21	beam	beam	NOUN
fumecheng-519	281	22	and	and	CCONJ
fumecheng-519	281	23	1	1	NUM
fumecheng-519	281	24	20	20	NUM
fumecheng-519	281	25			NUM
fumecheng-519	281	26			NOUN
fumecheng-519	281	27	:	:	PUNCT
fumecheng-519	281	28	a	a	X
fumecheng-519	281	29	)	)	PUNCT
fumecheng-519	281	30	type	type	NOUN
fumecheng-519	281	31	1	1	NUM
fumecheng-519	281	32	,	,	PUNCT
fumecheng-519	281	33	b	b	NOUN
fumecheng-519	281	34	)	)	PUNCT
fumecheng-519	281	35	type	type	NOUN
fumecheng-519	281	36	3	3	NUM
fumecheng-519	281	37	fig	fig	NOUN
fumecheng-519	281	38	.	.	PUNCT
fumecheng-519	282	1	6	6	NUM
fumecheng-519	282	2	variation	variation	NOUN
fumecheng-519	282	3	of	of	ADP
fumecheng-519	282	4	clp	clp	PROPN
fumecheng-519	282	5	with	with	ADP
fumecheng-519	282	6	r1	r1	PROPN
fumecheng-519	282	7	for	for	ADP
fumecheng-519	282	8	pn	pn	PROPN
fumecheng-519	282	9	-	-	PUNCT
fumecheng-519	282	10	pn	pn	PROPN
fumecheng-519	282	11	beam	beam	NOUN
fumecheng-519	282	12	and	and	CCONJ
fumecheng-519	282	13	2	2	NUM
fumecheng-519	282	14	0.8	0.8	NOUN
fumecheng-519	282	15			NOUN
fumecheng-519	282	16	:	:	PUNCT
fumecheng-519	282	17	a	a	X
fumecheng-519	282	18	)	)	PUNCT
fumecheng-519	282	19	type	type	NOUN
fumecheng-519	282	20	1	1	NUM
fumecheng-519	282	21	,	,	PUNCT
fumecheng-519	282	22	b	b	NOUN
fumecheng-519	282	23	)	)	PUNCT
fumecheng-519	282	24	type	type	NOUN
fumecheng-519	282	25	3	3	NUM
fumecheng-519	282	26	the	the	DET
fumecheng-519	282	27	clp	clp	PROPN
fumecheng-519	282	28	dependence	dependence	NOUN
fumecheng-519	282	29	on	on	ADP
fumecheng-519	282	30	changes	change	NOUN
fumecheng-519	282	31	r1	r1	NOUN
fumecheng-519	282	32	for	for	ADP
fumecheng-519	282	33	types	type	NOUN
fumecheng-519	282	34	1	1	NUM
fumecheng-519	282	35	and	and	CCONJ
fumecheng-519	282	36	3	3	NUM
fumecheng-519	282	37	and	and	CCONJ
fumecheng-519	282	38	value	value	NOUN
fumecheng-519	282	39	2	2	NUM
fumecheng-519	282	40	=	=	NOUN
fumecheng-519	282	41	0.8	0.8	NUM
fumecheng-519	282	42	with	with	ADP
fumecheng-519	282	43	influence	influence	NOUN
fumecheng-519	282	44	of	of	ADP
fumecheng-519	282	45	change	change	NOUN
fumecheng-519	282	46	values	value	NOUN
fumecheng-519	282	47			NUM
fumecheng-519	282	48	are	be	AUX
fumecheng-519	282	49	shown	show	VERB
fumecheng-519	282	50	in	in	ADP
fumecheng-519	282	51	fig	fig	NOUN
fumecheng-519	282	52	.	.	PUNCT
fumecheng-519	283	1	6	6	NUM
fumecheng-519	283	2	.	.	X
fumecheng-519	283	3	it	it	PRON
fumecheng-519	283	4	can	can	AUX
fumecheng-519	283	5	be	be	AUX
fumecheng-519	283	6	noticed	notice	VERB
fumecheng-519	283	7	that	that	SCONJ
fumecheng-519	283	8	the	the	DET
fumecheng-519	283	9	clp	clp	NOUN
fumecheng-519	283	10	value	value	NOUN
fumecheng-519	283	11	is	be	AUX
fumecheng-519	283	12	higher	high	ADJ
fumecheng-519	283	13	for	for	ADP
fumecheng-519	283	14	greater	great	ADJ
fumecheng-519	283	15	values	value	NOUN
fumecheng-519	283	16	of	of	ADP
fumecheng-519	283	17	.	.	PUNCT
fumecheng-519	283	18	the	the	DET
fumecheng-519	283	19	influence	influence	NOUN
fumecheng-519	283	20	of	of	ADP
fumecheng-519	283	21	δ	δ	PROPN
fumecheng-519	283	22	is	be	AUX
fumecheng-519	283	23	higher	high	ADJ
fumecheng-519	283	24	for	for	ADP
fumecheng-519	283	25	type	type	NOUN
fumecheng-519	283	26	1	1	NUM
fumecheng-519	283	27	than	than	ADP
fumecheng-519	283	28	for	for	ADP
fumecheng-519	283	29	type	type	NOUN
fumecheng-519	283	30	3	3	NUM
fumecheng-519	283	31	.	.	NOUN
fumecheng-519	283	32	critical	critical	ADJ
fumecheng-519	283	33	load	load	NOUN
fumecheng-519	283	34	parameter	parameter	NOUN
fumecheng-519	283	35	of	of	ADP
fumecheng-519	283	36	a	a	DET
fumecheng-519	283	37	timoshenko	timoshenko	ADJ
fumecheng-519	283	38	beam	beam	NOUN
fumecheng-519	283	39	with	with	ADP
fumecheng-519	283	40	one	one	NUM
fumecheng-519	283	41	-	-	PUNCT
fumecheng-519	283	42	step	step	NOUN
fumecheng-519	283	43	change	change	NOUN
fumecheng-519	283	44	in	in	ADP
fumecheng-519	283	45	cross	cross	NOUN
fumecheng-519	283	46	section	section	NOUN
fumecheng-519	283	47	271	271	NUM
fumecheng-519	283	48	fig	fig	NOUN
fumecheng-519	283	49	.	.	PUNCT
fumecheng-519	284	1	7	7	NUM
fumecheng-519	284	2	variation	variation	NOUN
fumecheng-519	284	3	of	of	ADP
fumecheng-519	284	4	clp	clp	PROPN
fumecheng-519	284	5	with	with	ADP
fumecheng-519	284	6	r1	r1	PROPN
fumecheng-519	284	7	for	for	ADP
fumecheng-519	284	8	cl	cl	NOUN
fumecheng-519	284	9	-	-	PUNCT
fumecheng-519	284	10	cl	cl	NOUN
fumecheng-519	284	11	beam	beam	NOUN
fumecheng-519	284	12	and	and	CCONJ
fumecheng-519	284	13	2	2	NUM
fumecheng-519	284	14	0.8	0.8	NOUN
fumecheng-519	284	15			NOUN
fumecheng-519	284	16	:	:	PUNCT
fumecheng-519	284	17	a	a	X
fumecheng-519	284	18	)	)	PUNCT
fumecheng-519	284	19	1	1	NUM
fumecheng-519	284	20	20	20	NUM
fumecheng-519	284	21			NUM
fumecheng-519	284	22			PROPN
fumecheng-519	284	23	,	,	PUNCT
fumecheng-519	284	24	b	b	X
fumecheng-519	284	25	)	)	PUNCT
fumecheng-519	284	26	1	1	NUM
fumecheng-519	284	27	100	100	NUM
fumecheng-519	284	28			NUM
fumecheng-519	284	29			NUM
fumecheng-519	284	30	fig	fig	NOUN
fumecheng-519	284	31	.	.	PUNCT
fumecheng-519	285	1	8	8	NUM
fumecheng-519	285	2	variation	variation	NOUN
fumecheng-519	285	3	of	of	ADP
fumecheng-519	285	4	clp	clp	PROPN
fumecheng-519	285	5	with	with	ADP
fumecheng-519	285	6	r1	r1	PROPN
fumecheng-519	285	7	for	for	ADP
fumecheng-519	285	8	cl	cl	NOUN
fumecheng-519	285	9	-	-	PUNCT
fumecheng-519	285	10	cl	cl	NOUN
fumecheng-519	285	11	beam	beam	NOUN
fumecheng-519	285	12	and	and	CCONJ
fumecheng-519	285	13	1	1	NUM
fumecheng-519	285	14	20	20	NUM
fumecheng-519	285	15			NUM
fumecheng-519	285	16			NOUN
fumecheng-519	285	17	:	:	PUNCT
fumecheng-519	285	18	a	a	X
fumecheng-519	285	19	)	)	PUNCT
fumecheng-519	285	20	type	type	NOUN
fumecheng-519	285	21	1	1	NUM
fumecheng-519	285	22	,	,	PUNCT
fumecheng-519	285	23	b	b	NOUN
fumecheng-519	285	24	)	)	PUNCT
fumecheng-519	285	25	type	type	NOUN
fumecheng-519	285	26	3	3	NUM
fumecheng-519	285	27	fig	fig	NOUN
fumecheng-519	285	28	.	.	PUNCT
fumecheng-519	286	1	9	9	NUM
fumecheng-519	286	2	variation	variation	NOUN
fumecheng-519	286	3	of	of	ADP
fumecheng-519	286	4	clp	clp	PROPN
fumecheng-519	286	5	with	with	ADP
fumecheng-519	286	6	r1	r1	PROPN
fumecheng-519	286	7	for	for	ADP
fumecheng-519	286	8	cl	cl	NOUN
fumecheng-519	286	9	-	-	PUNCT
fumecheng-519	286	10	cl	cl	NOUN
fumecheng-519	286	11	beam	beam	NOUN
fumecheng-519	286	12	and	and	CCONJ
fumecheng-519	286	13	2	2	NUM
fumecheng-519	286	14	0.8	0.8	NOUN
fumecheng-519	286	15			NOUN
fumecheng-519	286	16	:	:	PUNCT
fumecheng-519	286	17	a	a	X
fumecheng-519	286	18	)	)	PUNCT
fumecheng-519	286	19	type	type	NOUN
fumecheng-519	286	20	1	1	NUM
fumecheng-519	286	21	,	,	PUNCT
fumecheng-519	286	22	b	b	NOUN
fumecheng-519	286	23	)	)	PUNCT
fumecheng-519	286	24	type	type	NOUN
fumecheng-519	286	25	3	3	NUM
fumecheng-519	286	26	the	the	DET
fumecheng-519	286	27	clt	clt	NOUN
fumecheng-519	286	28	is	be	AUX
fumecheng-519	286	29	tabulated	tabulate	VERB
fumecheng-519	286	30	as	as	SCONJ
fumecheng-519	286	31	shown	show	VERB
fumecheng-519	286	32	in	in	ADP
fumecheng-519	286	33	table	table	NOUN
fumecheng-519	286	34	2	2	NUM
fumecheng-519	286	35	for	for	ADP
fumecheng-519	286	36	clamped	clamp	VERB
fumecheng-519	286	37	-	-	PUNCT
fumecheng-519	286	38	clamped	clamp	VERB
fumecheng-519	286	39	beam	beam	NOUN
fumecheng-519	286	40	.	.	PUNCT
fumecheng-519	287	1	in	in	ADP
fumecheng-519	287	2	figs.7	figs.7	NOUN
fumecheng-519	287	3	-	-	SYM
fumecheng-519	287	4	9	9	NUM
fumecheng-519	287	5	,	,	PUNCT
fumecheng-519	287	6	the	the	DET
fumecheng-519	287	7	clp	clp	PROPN
fumecheng-519	287	8	dependence	dependence	NOUN
fumecheng-519	287	9	on	on	ADP
fumecheng-519	287	10	change	change	NOUN
fumecheng-519	287	11	r1	r1	PROPN
fumecheng-519	287	12	is	be	AUX
fumecheng-519	287	13	presented	present	VERB
fumecheng-519	287	14	while	while	SCONJ
fumecheng-519	287	15	the	the	DET
fumecheng-519	287	16	beam	beam	NOUN
fumecheng-519	287	17	type	type	NOUN
fumecheng-519	287	18	influence	influence	NOUN
fumecheng-519	287	19	,	,	PUNCT
fumecheng-519	287	20	dimension	dimension	NOUN
fumecheng-519	287	21	ratio	ratio	NOUN
fumecheng-519	287	22	2	2	NUM
fumecheng-519	287	23	and	and	CCONJ
fumecheng-519	287	24	slenderness	slenderness	NOUN
fumecheng-519	287	25	ratio	ratio	NOUN
fumecheng-519	287	26			NUM
fumecheng-519	287	27	are	be	AUX
fumecheng-519	287	28	taken	take	VERB
fumecheng-519	287	29	into	into	ADP
fumecheng-519	287	30	consideration	consideration	NOUN
fumecheng-519	287	31	.	.	PUNCT
fumecheng-519	288	1	the	the	DET
fumecheng-519	288	2	influence	influence	NOUN
fumecheng-519	288	3	of	of	ADP
fumecheng-519	288	4	the	the	DET
fumecheng-519	288	5	beam	beam	NOUN
fumecheng-519	288	6	type	type	NOUN
fumecheng-519	288	7	is	be	AUX
fumecheng-519	288	8	higher	high	ADJ
fumecheng-519	288	9	for	for	ADP
fumecheng-519	288	10	lower	low	ADJ
fumecheng-519	288	11	values	value	NOUN
fumecheng-519	288	12			NUM
fumecheng-519	288	13	,	,	PUNCT
fumecheng-519	288	14	as	as	ADV
fumecheng-519	288	15	well	well	ADV
fumecheng-519	288	16	as	as	ADP
fumecheng-519	288	17	that	that	PRON
fumecheng-519	288	18	of	of	ADP
fumecheng-519	288	19	dimension	dimension	NOUN
fumecheng-519	288	20	ratio	ratio	NOUN
fumecheng-519	288	21	2	2	NUM
fumecheng-519	288	22	for	for	ADP
fumecheng-519	288	23	beam	beam	NOUN
fumecheng-519	288	24	type	type	NOUN
fumecheng-519	288	25	1	1	NUM
fumecheng-519	288	26	in	in	ADP
fumecheng-519	288	27	relation	relation	NOUN
fumecheng-519	288	28	to	to	PART
fumecheng-519	288	29	beam	beam	VERB
fumecheng-519	288	30	type	type	NOUN
fumecheng-519	288	31	3	3	NUM
fumecheng-519	288	32	.	.	PUNCT
fumecheng-519	288	33	an	an	DET
fumecheng-519	288	34	especially	especially	ADV
fumecheng-519	288	35	large	large	ADJ
fumecheng-519	288	36	influence	influence	NOUN
fumecheng-519	288	37	of	of	ADP
fumecheng-519	288	38	slenderness	slenderness	NOUN
fumecheng-519	288	39	ratio	ratio	NOUN
fumecheng-519	288	40			NUM
fumecheng-519	288	41	is	be	AUX
fumecheng-519	288	42	observed	observe	VERB
fumecheng-519	288	43	for	for	ADP
fumecheng-519	288	44	beam	beam	ADJ
fumecheng-519	288	45	type	type	NOUN
fumecheng-519	288	46	1	1	NUM
fumecheng-519	288	47	,	,	PUNCT
fumecheng-519	288	48	while	while	SCONJ
fumecheng-519	288	49	for	for	ADP
fumecheng-519	288	50	beam	beam	ADJ
fumecheng-519	288	51	type	type	NOUN
fumecheng-519	288	52	3	3	NUM
fumecheng-519	288	53	is	be	AUX
fumecheng-519	288	54	considerably	considerably	ADV
fumecheng-519	288	55	smaller	small	ADJ
fumecheng-519	288	56	.	.	PUNCT
fumecheng-519	289	1	272	272	NUM
fumecheng-519	289	2	g.	g.	PROPN
fumecheng-519	289	3	janevski	janevski	PROPN
fumecheng-519	289	4	,	,	PUNCT
fumecheng-519	289	5	m.	m.	NOUN
fumecheng-519	289	6	stamenković	stamenković	PROPN
fumecheng-519	289	7	,	,	PUNCT
fumecheng-519	289	8	m.	m.	NOUN
fumecheng-519	289	9	seabra	seabra	VERB
fumecheng-519	289	10	table	table	NOUN
fumecheng-519	289	11	3	3	NUM
fumecheng-519	289	12	clp	clp	NOUN
fumecheng-519	289	13	for	for	ADP
fumecheng-519	289	14	cl	cl	NOUN
fumecheng-519	289	15	-	-	ADJ
fumecheng-519	289	16	fr	fr	ADJ
fumecheng-519	289	17	beam	beam	NOUN
fumecheng-519	289	18	table	table	NOUN
fumecheng-519	289	19	4	4	NUM
fumecheng-519	289	20	clp	clp	NOUN
fumecheng-519	289	21	for	for	ADP
fumecheng-519	289	22	cl	cl	NOUN
fumecheng-519	289	23	-	-	ADJ
fumecheng-519	289	24	pn	pn	ADJ
fumecheng-519	289	25	beam	beam	NOUN
fumecheng-519	289	26	1r	1r	NUM
fumecheng-519	289	27	type	type	NOUN
fumecheng-519	289	28			NUM
fumecheng-519	289	29	2	2	NUM
fumecheng-519	289	30	1r	1r	NUM
fumecheng-519	289	31	type	type	NOUN
fumecheng-519	289	32			NUM
fumecheng-519	289	33	2	2	NUM
fumecheng-519	289	34	0.6	0.6	NUM
fumecheng-519	289	35	0.7	0.7	NUM
fumecheng-519	289	36	0.8	0.8	NUM
fumecheng-519	289	37	0.6	0.6	NUM
fumecheng-519	289	38	0.7	0.7	NUM
fumecheng-519	289	39	0.8	0.8	NUM
fumecheng-519	289	40	0	0	NUM
fumecheng-519	289	41	1	1	NUM
fumecheng-519	289	42	20	20	NUM
fumecheng-519	289	43	0.999139839	0.999139839	NUM
fumecheng-519	289	44	0.998768088	0.998768088	NUM
fumecheng-519	290	1	0.998030899	0.998030899	NUM
fumecheng-519	290	2	0	0	NUM
fumecheng-519	290	3	1	1	NUM
fumecheng-519	290	4	20	20	NUM
fumecheng-519	290	5	1.025524562	1.025524562	NUM
fumecheng-519	290	6	1.036555975	1.036555975	NUM
fumecheng-519	290	7	1.058431446	1.058431446	NUM
fumecheng-519	290	8	100	100	NUM
fumecheng-519	290	9	0.999965631	0.999965631	NUM
fumecheng-519	290	10	0.999950777	0.999950777	NUM
fumecheng-519	290	11	0.999921322	0.999921322	NUM
fumecheng-519	290	12	100	100	NUM
fumecheng-519	290	13	1.001027398	1.001027398	NUM
fumecheng-519	290	14	1.001471427	1.001471427	NUM
fumecheng-519	290	15	1.002351944	1.002351944	NUM
fumecheng-519	290	16	eb	eb	PROPN
fumecheng-519	290	17	1	1	NUM
fumecheng-519	290	18	1	1	NUM
fumecheng-519	290	19	1	1	NUM
fumecheng-519	290	20	eb	eb	PROPN
fumecheng-519	290	21	1	1	NUM
fumecheng-519	290	22	1	1	NUM
fumecheng-519	290	23	1	1	NUM
fumecheng-519	290	24	2	2	NUM
fumecheng-519	290	25	20	20	NUM
fumecheng-519	290	26	0.999896942	0.999896942	NUM
fumecheng-519	290	27	0.999799043	0.999799043	NUM
fumecheng-519	290	28	0.999580305	0.999580305	NUM
fumecheng-519	290	29	2	2	NUM
fumecheng-519	290	30	20	20	NUM
fumecheng-519	290	31	1.003075743	1.003075743	NUM
fumecheng-519	290	32	1.005990663	1.005990663	NUM
fumecheng-519	290	33	1.012494595	1.012494595	NUM
fumecheng-519	290	34	100	100	NUM
fumecheng-519	290	35	0.999995865	0.999995865	NUM
fumecheng-519	290	36	0.999991949	0.999991949	NUM
fumecheng-519	290	37	0.999983202	0.999983202	NUM
fumecheng-519	290	38	100	100	NUM
fumecheng-519	290	39	1.000123308	1.000123308	NUM
fumecheng-519	290	40	1.000240365	1.000240365	NUM
fumecheng-519	290	41	1.000501796	1.000501796	NUM
fumecheng-519	290	42	eb	eb	PROPN
fumecheng-519	290	43	1	1	NUM
fumecheng-519	290	44	1	1	NUM
fumecheng-519	290	45	1	1	NUM
fumecheng-519	290	46	eb	eb	PROPN
fumecheng-519	290	47	1	1	NUM
fumecheng-519	290	48	1	1	NUM
fumecheng-519	290	49	1	1	NUM
fumecheng-519	290	50	3	3	NUM
fumecheng-519	290	51	20	20	NUM
fumecheng-519	290	52	0.999946335	0.999946335	NUM
fumecheng-519	290	53	0.99989537	0.99989537	NUM
fumecheng-519	290	54	0.999781511	0.999781511	NUM
fumecheng-519	290	55	3	3	NUM
fumecheng-519	290	56	20	20	NUM
fumecheng-519	290	57	1.001603102	1.001603102	NUM
fumecheng-519	290	58	1.00312319	1.00312319	NUM
fumecheng-519	290	59	1.006515908	1.006515908	NUM
fumecheng-519	290	60	100	100	NUM
fumecheng-519	290	61	0.999997843	0.999997843	NUM
fumecheng-519	290	62	0.999995801	0.999995801	NUM
fumecheng-519	290	63	0.999991243	0.999991243	NUM
fumecheng-519	290	64	100	100	NUM
fumecheng-519	290	65	1.000064225	1.000064225	NUM
fumecheng-519	290	66	1.000125195	1.000125195	NUM
fumecheng-519	290	67	1.000261365	1.000261365	NUM
fumecheng-519	290	68	eb	eb	PROPN
fumecheng-519	290	69	1	1	NUM
fumecheng-519	290	70	1	1	NUM
fumecheng-519	290	71	1	1	NUM
fumecheng-519	290	72	eb	eb	PROPN
fumecheng-519	290	73	1	1	NUM
fumecheng-519	290	74	1	1	NUM
fumecheng-519	290	75	1	1	NUM
fumecheng-519	290	76	0.3	0.3	NUM
fumecheng-519	290	77	1	1	NUM
fumecheng-519	290	78	20	20	NUM
fumecheng-519	290	79	0.516563665	0.516563665	NUM
fumecheng-519	290	80	0.493505096	0.493505096	NUM
fumecheng-519	290	81	0.47300968	0.47300968	NUM
fumecheng-519	290	82	0.3	0.3	NUM
fumecheng-519	290	83	1	1	NUM
fumecheng-519	290	84	20	20	NUM
fumecheng-519	290	85	0.746833293	0.746833293	NUM
fumecheng-519	290	86	0.762347877	0.762347877	NUM
fumecheng-519	290	87	0.788574418	0.788574418	NUM
fumecheng-519	290	88	100	100	NUM
fumecheng-519	290	89	0.51772272	0.51772272	NUM
fumecheng-519	290	90	0.495023672	0.495023672	NUM
fumecheng-519	290	91	0.475235116	0.475235116	NUM
fumecheng-519	290	92	100	100	NUM
fumecheng-519	290	93	0.717997588	0.717997588	NUM
fumecheng-519	290	94	0.723030128	0.723030128	NUM
fumecheng-519	290	95	0.728359103	0.728359103	NUM
fumecheng-519	290	96	eb	eb	NOUN
fumecheng-519	290	97	0.517770844	0.517770844	NUM
fumecheng-519	290	98	0.49508674	0.49508674	NUM
fumecheng-519	290	99	0.475327561	0.475327561	NUM
fumecheng-519	290	100	eb	eb	PROPN
fumecheng-519	290	101	0.716786788	0.716786788	NUM
fumecheng-519	290	102	0.721379896	0.721379896	NUM
fumecheng-519	290	103	0.72583265	0.72583265	NUM
fumecheng-519	290	104	2	2	NUM
fumecheng-519	290	105	20	20	NUM
fumecheng-519	290	106	0.652268724	0.652268724	NUM
fumecheng-519	290	107	0.595615643	0.595615643	NUM
fumecheng-519	290	108	0.5401181	0.5401181	NUM
fumecheng-519	290	109	2	2	NUM
fumecheng-519	290	110	20	20	NUM
fumecheng-519	290	111	0.719999623	0.719999623	NUM
fumecheng-519	290	112	0.716830331	0.716830331	NUM
fumecheng-519	290	113	0.728191711	0.728191711	NUM
fumecheng-519	290	114	100	100	NUM
fumecheng-519	290	115	0.652459409	0.652459409	NUM
fumecheng-519	290	116	0.595956048	0.595956048	NUM
fumecheng-519	290	117	0.540735108	0.540735108	NUM
fumecheng-519	290	118	100	100	NUM
fumecheng-519	290	119	0.715396893	0.715396893	NUM
fumecheng-519	290	120	0.708900445	0.708900445	NUM
fumecheng-519	290	121	0.713536209	0.713536209	NUM
fumecheng-519	290	122	eb	eb	PROPN
fumecheng-519	290	123	0.652467341	0.652467341	NUM
fumecheng-519	290	124	0.595970201	0.595970201	NUM
fumecheng-519	290	125	0.540760754	0.540760754	NUM
fumecheng-519	290	126	eb	eb	PROPN
fumecheng-519	290	127	0.71520442	0.71520442	NUM
fumecheng-519	290	128	0.708568591	0.708568591	NUM
fumecheng-519	290	129	0.712922479	0.712922479	NUM
fumecheng-519	290	130	3	3	NUM
fumecheng-519	290	131	20	20	NUM
fumecheng-519	290	132	0.704485327	0.704485327	NUM
fumecheng-519	290	133	0.640117804	0.640117804	NUM
fumecheng-519	290	134	0.571758088	0.571758088	NUM
fumecheng-519	290	135	3	3	NUM
fumecheng-519	290	136	20	20	NUM
fumecheng-519	290	137	0.737832143	0.737832143	NUM
fumecheng-519	290	138	0.71734048	0.71734048	NUM
fumecheng-519	290	139	0.717983769	0.717983769	NUM
fumecheng-519	290	140	100	100	NUM
fumecheng-519	290	141	0.704588851	0.704588851	NUM
fumecheng-519	290	142	0.640308298	0.640308298	NUM
fumecheng-519	290	143	0.57210797	0.57210797	NUM
fumecheng-519	290	144	100	100	NUM
fumecheng-519	290	145	0.735173101	0.735173101	NUM
fumecheng-519	290	146	0.712769566	0.712769566	NUM
fumecheng-519	290	147	0.709764639	0.709764639	NUM
fumecheng-519	290	148	eb	eb	PROPN
fumecheng-519	290	149	0.704593159	0.704593159	NUM
fumecheng-519	290	150	0.640316223	0.640316223	NUM
fumecheng-519	290	151	0.572122522	0.572122522	NUM
fumecheng-519	290	152	eb	eb	PROPN
fumecheng-519	290	153	0.735062002	0.735062002	NUM
fumecheng-519	290	154	0.712578473	0.712578473	NUM
fumecheng-519	290	155	0.709420883	0.709420883	NUM
fumecheng-519	290	156	0.5	0.5	NUM
fumecheng-519	290	157	1	1	NUM
fumecheng-519	290	158	20	20	NUM
fumecheng-519	290	159	0.231981741	0.231981741	NUM
fumecheng-519	290	160	0.214571151	0.214571151	NUM
fumecheng-519	290	161	0.200117438	0.200117438	NUM
fumecheng-519	290	162	0.5	0.5	NUM
fumecheng-519	290	163	1	1	NUM
fumecheng-519	290	164	20	20	NUM
fumecheng-519	290	165	0.704941873	0.704941873	NUM
fumecheng-519	290	166	0.707837666	0.707837666	NUM
fumecheng-519	290	167	0.720463214	0.720463214	NUM
fumecheng-519	290	168	100	100	NUM
fumecheng-519	290	169	0.233370034	0.233370034	NUM
fumecheng-519	290	170	0.216264853	0.216264853	NUM
fumecheng-519	290	171	0.202474946	0.202474946	NUM
fumecheng-519	290	172	100	100	NUM
fumecheng-519	290	173	0.676340365	0.676340365	NUM
fumecheng-519	290	174	0.6689679	0.6689679	NUM
fumecheng-519	290	175	0.660927761	0.660927761	NUM
fumecheng-519	290	176	eb	eb	NOUN
fumecheng-519	290	177	0.233427646	0.233427646	NUM
fumecheng-519	290	178	0.216335175	0.216335175	NUM
fumecheng-519	290	179	0.202572866	0.202572866	NUM
fumecheng-519	290	180	eb	eb	PROPN
fumecheng-519	290	181	0.675139695	0.675139695	NUM
fumecheng-519	290	182	0.667336845	0.667336845	NUM
fumecheng-519	290	183	0.658430238	0.658430238	NUM
fumecheng-519	290	184	2	2	NUM
fumecheng-519	290	185	20	20	NUM
fumecheng-519	290	186	0.373238269	0.373238269	NUM
fumecheng-519	290	187	0.305011992	0.305011992	NUM
fumecheng-519	290	188	0.251479256	0.251479256	NUM
fumecheng-519	290	189	2	2	NUM
fumecheng-519	290	190	20	20	NUM
fumecheng-519	290	191	0.681825858	0.681825858	NUM
fumecheng-519	290	192	0.69320834	0.69320834	NUM
fumecheng-519	290	193	0.696071668	0.696071668	NUM
fumecheng-519	290	194	100	100	NUM
fumecheng-519	290	195	0.373617013	0.373617013	NUM
fumecheng-519	290	196	0.305577286	0.305577286	NUM
fumecheng-519	290	197	0.25231405	0.25231405	NUM
fumecheng-519	290	198	100	100	NUM
fumecheng-519	290	199	0.676884599	0.676884599	NUM
fumecheng-519	290	200	0.685081612	0.685081612	NUM
fumecheng-519	290	201	0.681244199	0.681244199	NUM
fumecheng-519	290	202	eb	eb	NOUN
fumecheng-519	290	203	0.373632747	0.373632747	NUM
fumecheng-519	290	204	0.305600765	0.305600765	NUM
fumecheng-519	290	205	0.252348727	0.252348727	NUM
fumecheng-519	290	206	eb	eb	PROPN
fumecheng-519	290	207	0.676677903	0.676677903	NUM
fumecheng-519	290	208	0.684741481	0.684741481	NUM
fumecheng-519	290	209	0.680623243	0.680623243	NUM
fumecheng-519	290	210	3	3	NUM
fumecheng-519	290	211	20	20	NUM
fumecheng-519	290	212	0.44925751	0.44925751	NUM
fumecheng-519	290	213	0.357372974	0.357372974	NUM
fumecheng-519	290	214	0.280582333	0.280582333	NUM
fumecheng-519	290	215	3	3	NUM
fumecheng-519	290	216	20	20	NUM
fumecheng-519	290	217	0.663081249	0.663081249	NUM
fumecheng-519	290	218	0.684467961	0.684467961	NUM
fumecheng-519	291	1	0.693158972	0.693158972	NUM
fumecheng-519	291	2	100	100	NUM
fumecheng-519	291	3	0.449483015	0.449483015	NUM
fumecheng-519	291	4	0.357736179	0.357736179	NUM
fumecheng-519	291	5	0.281108551	0.281108551	NUM
fumecheng-519	291	6	100	100	NUM
fumecheng-519	291	7	0.659887918	0.659887918	NUM
fumecheng-519	291	8	0.679616675	0.679616675	NUM
fumecheng-519	291	9	0.684818598	0.684818598	NUM
fumecheng-519	291	10	eb	eb	PROPN
fumecheng-519	291	11	0.449492388	0.449492388	NUM
fumecheng-519	291	12	0.357751272	0.357751272	NUM
fumecheng-519	291	13	0.281130422	0.281130422	NUM
fumecheng-519	291	14	eb	eb	NOUN
fumecheng-519	291	15	0.659754399	0.659754399	NUM
fumecheng-519	291	16	0.679413805	0.679413805	NUM
fumecheng-519	291	17	0.684469755	0.684469755	NUM
fumecheng-519	292	1	0.7	0.7	NUM
fumecheng-519	292	2	1	1	NUM
fumecheng-519	292	3	20	20	NUM
fumecheng-519	292	4	0.055186907	0.055186907	NUM
fumecheng-519	292	5	0.050063457	0.050063457	NUM
fumecheng-519	292	6	0.045640544	0.045640544	NUM
fumecheng-519	293	1	0.7	0.7	NUM
fumecheng-519	293	2	1	1	NUM
fumecheng-519	293	3	20	20	NUM
fumecheng-519	293	4	0.379309729	0.379309729	NUM
fumecheng-519	293	5	0.361963181	0.361963181	NUM
fumecheng-519	293	6	0.360261413	0.360261413	NUM
fumecheng-519	293	7	100	100	NUM
fumecheng-519	294	1	0.056450765	0.056450765	NUM
fumecheng-519	294	2	0.051615789	0.051615789	NUM
fumecheng-519	294	3	0.047851137	0.047851137	NUM
fumecheng-519	294	4	100	100	NUM
fumecheng-519	294	5	0.35135486	0.35135486	NUM
fumecheng-519	294	6	0.324284617	0.324284617	NUM
fumecheng-519	294	7	0.302297179	0.302297179	NUM
fumecheng-519	294	8	eb	eb	PROPN
fumecheng-519	294	9	0.056503226	0.056503226	NUM
fumecheng-519	294	10	0.051680255	0.051680255	NUM
fumecheng-519	294	11	0.047942968	0.047942968	NUM
fumecheng-519	294	12	eb	eb	PROPN
fumecheng-519	294	13	0.350182851	0.350182851	NUM
fumecheng-519	294	14	0.322704721	0.322704721	NUM
fumecheng-519	294	15	0.29986644	0.29986644	NUM
fumecheng-519	294	16	2	2	NUM
fumecheng-519	294	17	20	20	NUM
fumecheng-519	294	18	0.108655097	0.108655097	NUM
fumecheng-519	294	19	0.079229345	0.079229345	NUM
fumecheng-519	294	20	0.061213511	0.061213511	NUM
fumecheng-519	294	21	2	2	NUM
fumecheng-519	294	22	20	20	NUM
fumecheng-519	294	23	0.524759271	0.524759271	NUM
fumecheng-519	294	24	0.460060425	0.460060425	NUM
fumecheng-519	294	25	0.396540649	0.396540649	NUM
fumecheng-519	294	26	100	100	NUM
fumecheng-519	294	27	0.109305745	0.109305745	NUM
fumecheng-519	294	28	0.079925259	0.079925259	NUM
fumecheng-519	294	29	0.062080655	0.062080655	NUM
fumecheng-519	294	30	100	100	NUM
fumecheng-519	294	31	0.518851854	0.518851854	NUM
fumecheng-519	294	32	0.450425138	0.450425138	NUM
fumecheng-519	294	33	0.379786092	0.379786092	NUM
fumecheng-519	294	34	eb	eb	PROPN
fumecheng-519	294	35	0.109332728	0.109332728	NUM
fumecheng-519	294	36	0.079954145	0.079954145	NUM
fumecheng-519	294	37	0.062116669	0.062116669	NUM
fumecheng-519	294	38	eb	eb	NOUN
fumecheng-519	294	39	0.518604613	0.518604613	NUM
fumecheng-519	294	40	0.450021642	0.450021642	NUM
fumecheng-519	294	41	0.37908408	0.37908408	NUM
fumecheng-519	294	42	3	3	NUM
fumecheng-519	294	43	20	20	NUM
fumecheng-519	294	44	0.156066172	0.156066172	NUM
fumecheng-519	294	45	0.101028811	0.101028811	NUM
fumecheng-519	294	46	0.07073479	0.07073479	NUM
fumecheng-519	294	47	3	3	NUM
fumecheng-519	294	48	20	20	NUM
fumecheng-519	294	49	0.57511257	0.57511257	NUM
fumecheng-519	294	50	0.510509096	0.510509096	NUM
fumecheng-519	294	51	0.429191083	0.429191083	NUM
fumecheng-519	294	52	100	100	NUM
fumecheng-519	294	53	0.156648268	0.156648268	NUM
fumecheng-519	294	54	0.1015835	0.1015835	NUM
fumecheng-519	294	55	0.071306225	0.071306225	NUM
fumecheng-519	294	56	100	100	NUM
fumecheng-519	294	57	0.571486178	0.571486178	NUM
fumecheng-519	294	58	0.504829574	0.504829574	NUM
fumecheng-519	294	59	0.419799388	0.419799388	NUM
fumecheng-519	294	60	eb	eb	PROPN
fumecheng-519	294	61	0.156672393	0.156672393	NUM
fumecheng-519	294	62	0.101606523	0.101606523	NUM
fumecheng-519	294	63	0.071329969	0.071329969	NUM
fumecheng-519	294	64	eb	eb	PROPN
fumecheng-519	294	65	0.57133452	0.57133452	NUM
fumecheng-519	294	66	0.504592024	0.504592024	NUM
fumecheng-519	294	67	0.419406539	0.419406539	NUM
fumecheng-519	294	68	1	1	NUM
fumecheng-519	294	69	1	1	NUM
fumecheng-519	294	70	20	20	NUM
fumecheng-519	294	71	-0.00086016	-0.00086016	NOUN
fumecheng-519	294	72	-0.00123191	-0.00123191	NOUN
fumecheng-519	294	73	-0.00196910	-0.00196910	VERB
fumecheng-519	294	74	1	1	NUM
fumecheng-519	294	75	1	1	NUM
fumecheng-519	294	76	20	20	NUM
fumecheng-519	294	77	0.025524562	0.025524562	NUM
fumecheng-519	294	78	0.036555975	0.036555975	NUM
fumecheng-519	294	79	0.058431446	0.058431446	NUM
fumecheng-519	294	80	100	100	NUM
fumecheng-519	294	81	-0.00003	-0.00003	NOUN
fumecheng-519	294	82	-0.00005	-0.00005	NOUN
fumecheng-519	294	83	-0.00008	-0.00008	NOUN
fumecheng-519	295	1	100	100	NUM
fumecheng-519	295	2	0.001027398	0.001027398	NUM
fumecheng-519	295	3	0.001471427	0.001471427	NUM
fumecheng-519	295	4	0.002351944	0.002351944	NUM
fumecheng-519	295	5	eb	eb	PROPN
fumecheng-519	295	6	0	0	NUM
fumecheng-519	295	7	0	0	NUM
fumecheng-519	295	8	0	0	NUM
fumecheng-519	295	9	eb	eb	PROPN
fumecheng-519	295	10	0	0	NUM
fumecheng-519	295	11	0	0	NUM
fumecheng-519	295	12	0	0	NUM
fumecheng-519	295	13	2	2	NUM
fumecheng-519	295	14	20	20	NUM
fumecheng-519	295	15	-0.00028672	-0.00028672	NOUN
fumecheng-519	295	16	-0.00041063	-0.00041063	ADJ
fumecheng-519	295	17	-0.00065636	-0.00065636	NOUN
fumecheng-519	295	18	2	2	NUM
fumecheng-519	295	19	20	20	NUM
fumecheng-519	295	20	0.008508185	0.008508185	NUM
fumecheng-519	295	21	0.012185324	0.012185324	NUM
fumecheng-519	295	22	0.019477148	0.019477148	NUM
fumecheng-519	295	23	100	100	NUM
fumecheng-519	295	24	-0.00001	-0.00001	NOUN
fumecheng-519	295	25	-0.00002	-0.00002	NOUN
fumecheng-519	295	26	-0.00003	-0.00003	NOUN
fumecheng-519	295	27	100	100	NUM
fumecheng-519	295	28	0.000342464	0.000342464	NUM
fumecheng-519	295	29	0.000490475	0.000490475	NUM
fumecheng-519	295	30	0.000783981	0.000783981	NUM
fumecheng-519	295	31	eb	eb	PROPN
fumecheng-519	295	32	0	0	NUM
fumecheng-519	295	33	0	0	NUM
fumecheng-519	295	34	0	0	NUM
fumecheng-519	295	35	eb	eb	PROPN
fumecheng-519	295	36	0	0	NUM
fumecheng-519	295	37	0	0	NUM
fumecheng-519	295	38	0	0	NUM
fumecheng-519	295	39	3	3	NUM
fumecheng-519	295	40	20	20	NUM
fumecheng-519	295	41	-0.00014906	-0.00014906	NOUN
fumecheng-519	295	42	-0.00021370	-0.00021370	NOUN
fumecheng-519	295	43	-0.00034159	-0.00034159	PROPN
fumecheng-519	295	44	3	3	NUM
fumecheng-519	295	45	20	20	NUM
fumecheng-519	295	46	0.004440154	0.004440154	NUM
fumecheng-519	295	47	0.006359143	0.006359143	NUM
fumecheng-519	295	48	0.010164521	0.010164521	NUM
fumecheng-519	295	49	100	100	NUM
fumecheng-519	295	50	-0.000006	-0.000006	NOUN
fumecheng-519	295	51	-0.000009	-0.000009	X
fumecheng-519	295	52	-0.000014	-0.000014	VERB
fumecheng-519	296	1	100	100	NUM
fumecheng-519	296	2	0.000178377	0.000178377	NUM
fumecheng-519	297	1	0.000255475	0.000255475	NUM
fumecheng-519	297	2	0.000408356	0.000408356	NUM
fumecheng-519	297	3	eb	eb	PROPN
fumecheng-519	297	4	0	0	NUM
fumecheng-519	297	5	0	0	NUM
fumecheng-519	297	6	0	0	NUM
fumecheng-519	297	7	eb	eb	PROPN
fumecheng-519	297	8	0	0	NUM
fumecheng-519	297	9	0	0	NUM
fumecheng-519	297	10	0	0	NUM
fumecheng-519	297	11	the	the	DET
fumecheng-519	297	12	clt	clt	NOUN
fumecheng-519	297	13	is	be	AUX
fumecheng-519	297	14	tabulated	tabulate	VERB
fumecheng-519	297	15	as	as	SCONJ
fumecheng-519	297	16	shown	show	VERB
fumecheng-519	297	17	in	in	ADP
fumecheng-519	297	18	table	table	NOUN
fumecheng-519	297	19	3	3	NUM
fumecheng-519	297	20	for	for	ADP
fumecheng-519	297	21	clamped	clamp	VERB
fumecheng-519	297	22	-	-	PUNCT
fumecheng-519	297	23	free	free	ADJ
fumecheng-519	297	24	beam	beam	NOUN
fumecheng-519	297	25	.	.	PUNCT
fumecheng-519	298	1	figs	fig	NOUN
fumecheng-519	298	2	.	.	PUNCT
fumecheng-519	299	1	10	10	NUM
fumecheng-519	299	2	-	-	SYM
fumecheng-519	299	3	12	12	NUM
fumecheng-519	299	4	show	show	VERB
fumecheng-519	299	5	the	the	DET
fumecheng-519	299	6	clp	clp	PROPN
fumecheng-519	299	7	dependence	dependence	NOUN
fumecheng-519	299	8	on	on	ADP
fumecheng-519	299	9	changes	change	NOUN
fumecheng-519	299	10	r1	r1	PROPN
fumecheng-519	299	11	while	while	SCONJ
fumecheng-519	299	12	the	the	DET
fumecheng-519	299	13	beam	beam	NOUN
fumecheng-519	299	14	type	type	NOUN
fumecheng-519	299	15	influence	influence	NOUN
fumecheng-519	299	16	,	,	PUNCT
fumecheng-519	299	17	dimension	dimension	NOUN
fumecheng-519	299	18	ratio	ratio	NOUN
fumecheng-519	299	19	2	2	NUM
fumecheng-519	299	20	and	and	CCONJ
fumecheng-519	299	21	slenderness	slenderness	NOUN
fumecheng-519	299	22	ratio	ratio	NOUN
fumecheng-519	299	23			NUM
fumecheng-519	299	24	are	be	AUX
fumecheng-519	299	25	taken	take	VERB
fumecheng-519	299	26	into	into	ADP
fumecheng-519	299	27	consideration	consideration	NOUN
fumecheng-519	299	28	.	.	PUNCT
fumecheng-519	300	1	here	here	ADV
fumecheng-519	300	2	,	,	PUNCT
fumecheng-519	300	3	the	the	DET
fumecheng-519	300	4	influences	influence	NOUN
fumecheng-519	300	5	of	of	ADP
fumecheng-519	300	6	parameters	parameter	NOUN
fumecheng-519	300	7	on	on	ADP
fumecheng-519	300	8	the	the	DET
fumecheng-519	300	9	clp	clp	PROPN
fumecheng-519	300	10	values	value	NOUN
fumecheng-519	300	11	are	be	AUX
fumecheng-519	300	12	totally	totally	ADV
fumecheng-519	300	13	clear	clear	ADJ
fumecheng-519	300	14	:	:	PUNCT
fumecheng-519	300	15	in	in	ADP
fumecheng-519	300	16	the	the	DET
fumecheng-519	300	17	above	above	ADJ
fumecheng-519	300	18	figs	fig	NOUN
fumecheng-519	300	19	.	.	PUNCT
fumecheng-519	301	1	it	it	PRON
fumecheng-519	301	2	can	can	AUX
fumecheng-519	301	3	be	be	AUX
fumecheng-519	301	4	noticed	notice	VERB
fumecheng-519	301	5	that	that	SCONJ
fumecheng-519	301	6	the	the	DET
fumecheng-519	301	7	clp	clp	PROPN
fumecheng-519	301	8	values	value	NOUN
fumecheng-519	301	9	are	be	AUX
fumecheng-519	301	10	higher	high	ADJ
fumecheng-519	301	11	for	for	ADP
fumecheng-519	301	12	lower	low	ADJ
fumecheng-519	301	13	values	value	NOUN
fumecheng-519	301	14	of	of	ADP
fumecheng-519	301	15	dimension	dimension	NOUN
fumecheng-519	301	16	ratio	ratio	NOUN
fumecheng-519	301	17	2	2	PROPN
fumecheng-519	301	18	,	,	PUNCT
fumecheng-519	301	19	maximum	maximum	ADJ
fumecheng-519	301	20	for	for	ADP
fumecheng-519	301	21	beam	beam	ADJ
fumecheng-519	301	22	type	type	NOUN
fumecheng-519	301	23	3	3	NUM
fumecheng-519	301	24	,	,	PUNCT
fumecheng-519	301	25	less	less	ADJ
fumecheng-519	301	26	for	for	ADP
fumecheng-519	301	27	beam	beam	ADJ
fumecheng-519	301	28	type	type	NOUN
fumecheng-519	301	29	2	2	NUM
fumecheng-519	301	30	and	and	CCONJ
fumecheng-519	301	31	minimum	minimum	NOUN
fumecheng-519	301	32	for	for	ADP
fumecheng-519	301	33	beam	beam	ADJ
fumecheng-519	301	34	type	type	NOUN
fumecheng-519	301	35	1	1	NUM
fumecheng-519	301	36	.	.	PUNCT
fumecheng-519	302	1	the	the	DET
fumecheng-519	302	2	influence	influence	NOUN
fumecheng-519	302	3	of	of	ADP
fumecheng-519	302	4	slenderness	slenderness	NOUN
fumecheng-519	302	5	ratio	ratio	NOUN
fumecheng-519	302	6			NUM
fumecheng-519	302	7	on	on	ADP
fumecheng-519	302	8	the	the	DET
fumecheng-519	302	9	clp	clp	NOUN
fumecheng-519	302	10	values	value	NOUN
fumecheng-519	302	11	is	be	AUX
fumecheng-519	302	12	insignificant	insignificant	ADJ
fumecheng-519	302	13	,	,	PUNCT
fumecheng-519	302	14	since	since	SCONJ
fumecheng-519	302	15	the	the	DET
fumecheng-519	302	16	influence	influence	NOUN
fumecheng-519	302	17	of	of	ADP
fumecheng-519	302	18	shear	shear	NOUN
fumecheng-519	302	19	in	in	ADP
fumecheng-519	302	20	this	this	DET
fumecheng-519	302	21	manner	manner	NOUN
fumecheng-519	302	22	is	be	AUX
fumecheng-519	302	23	very	very	ADV
fumecheng-519	302	24	small	small	ADJ
fumecheng-519	302	25	.	.	PUNCT
fumecheng-519	303	1	critical	critical	ADJ
fumecheng-519	303	2	load	load	NOUN
fumecheng-519	303	3	parameter	parameter	NOUN
fumecheng-519	303	4	of	of	ADP
fumecheng-519	303	5	a	a	DET
fumecheng-519	303	6	timoshenko	timoshenko	ADJ
fumecheng-519	303	7	beam	beam	NOUN
fumecheng-519	303	8	with	with	ADP
fumecheng-519	303	9	one	one	NUM
fumecheng-519	303	10	-	-	PUNCT
fumecheng-519	303	11	step	step	NOUN
fumecheng-519	303	12	change	change	NOUN
fumecheng-519	303	13	in	in	ADP
fumecheng-519	303	14	cross	cross	NOUN
fumecheng-519	303	15	section	section	NOUN
fumecheng-519	303	16	273	273	NUM
fumecheng-519	303	17	fig	fig	NOUN
fumecheng-519	303	18	.	.	PUNCT
fumecheng-519	304	1	10	10	NUM
fumecheng-519	304	2	variation	variation	NOUN
fumecheng-519	304	3	of	of	ADP
fumecheng-519	304	4	clp	clp	PROPN
fumecheng-519	304	5	with	with	ADP
fumecheng-519	304	6	r1	r1	PROPN
fumecheng-519	304	7	for	for	ADP
fumecheng-519	304	8	cl	cl	NOUN
fumecheng-519	304	9	-	-	ADJ
fumecheng-519	304	10	fr	fr	ADJ
fumecheng-519	304	11	beam	beam	NOUN
fumecheng-519	304	12	and	and	CCONJ
fumecheng-519	304	13	2	2	NUM
fumecheng-519	304	14	0.8	0.8	NOUN
fumecheng-519	304	15			NOUN
fumecheng-519	304	16	:	:	PUNCT
fumecheng-519	304	17	a	a	X
fumecheng-519	304	18	)	)	PUNCT
fumecheng-519	304	19	1	1	NUM
fumecheng-519	304	20	20	20	NUM
fumecheng-519	304	21			NUM
fumecheng-519	304	22			PROPN
fumecheng-519	304	23	,	,	PUNCT
fumecheng-519	304	24	b	b	X
fumecheng-519	304	25	)	)	PUNCT
fumecheng-519	304	26	1	1	NUM
fumecheng-519	304	27	100	100	NUM
fumecheng-519	304	28			NUM
fumecheng-519	304	29			NUM
fumecheng-519	304	30	fig	fig	NOUN
fumecheng-519	304	31	.	.	PUNCT
fumecheng-519	305	1	11	11	NUM
fumecheng-519	305	2	variation	variation	NOUN
fumecheng-519	305	3	of	of	ADP
fumecheng-519	305	4	clp	clp	PROPN
fumecheng-519	305	5	with	with	ADP
fumecheng-519	305	6	r1	r1	PROPN
fumecheng-519	305	7	for	for	ADP
fumecheng-519	305	8	cl	cl	NOUN
fumecheng-519	305	9	-	-	ADJ
fumecheng-519	305	10	fr	fr	ADJ
fumecheng-519	305	11	beam	beam	NOUN
fumecheng-519	305	12	and	and	CCONJ
fumecheng-519	305	13	1	1	NUM
fumecheng-519	305	14	20	20	NUM
fumecheng-519	305	15			NUM
fumecheng-519	305	16			NOUN
fumecheng-519	305	17	:	:	PUNCT
fumecheng-519	305	18	a	a	X
fumecheng-519	305	19	)	)	PUNCT
fumecheng-519	305	20	type	type	NOUN
fumecheng-519	305	21	1	1	NUM
fumecheng-519	305	22	,	,	PUNCT
fumecheng-519	305	23	b	b	NOUN
fumecheng-519	305	24	)	)	PUNCT
fumecheng-519	305	25	type	type	NOUN
fumecheng-519	305	26	3	3	NUM
fumecheng-519	305	27	fig	fig	NOUN
fumecheng-519	305	28	.	.	PUNCT
fumecheng-519	306	1	12	12	NUM
fumecheng-519	306	2	variation	variation	NOUN
fumecheng-519	306	3	of	of	ADP
fumecheng-519	306	4	clp	clp	PROPN
fumecheng-519	306	5	with	with	ADP
fumecheng-519	306	6	r1	r1	PROPN
fumecheng-519	306	7	for	for	ADP
fumecheng-519	306	8	cl	cl	NOUN
fumecheng-519	306	9	-	-	ADJ
fumecheng-519	306	10	fr	fr	ADJ
fumecheng-519	306	11	beam	beam	NOUN
fumecheng-519	306	12	and	and	CCONJ
fumecheng-519	306	13	2	2	NUM
fumecheng-519	306	14	0.8	0.8	NOUN
fumecheng-519	306	15			NOUN
fumecheng-519	306	16	:	:	PUNCT
fumecheng-519	306	17	a	a	X
fumecheng-519	306	18	)	)	PUNCT
fumecheng-519	306	19	type	type	NOUN
fumecheng-519	306	20	1	1	NUM
fumecheng-519	306	21	,	,	PUNCT
fumecheng-519	306	22	b	b	NOUN
fumecheng-519	306	23	)	)	PUNCT
fumecheng-519	306	24	type	type	NOUN
fumecheng-519	306	25	3	3	NUM
fumecheng-519	306	26	274	274	NUM
fumecheng-519	306	27	g.	g.	NOUN
fumecheng-519	306	28	janevski	janevski	PROPN
fumecheng-519	306	29	,	,	PUNCT
fumecheng-519	306	30	m.	m.	NOUN
fumecheng-519	306	31	stamenković	stamenković	PROPN
fumecheng-519	306	32	,	,	PUNCT
fumecheng-519	306	33	m.	m.	NOUN
fumecheng-519	306	34	seabra	seabra	VERB
fumecheng-519	306	35	fig	fig	NOUN
fumecheng-519	306	36	.	.	PUNCT
fumecheng-519	307	1	13	13	NUM
fumecheng-519	307	2	variation	variation	NOUN
fumecheng-519	307	3	of	of	ADP
fumecheng-519	307	4	clp	clp	PROPN
fumecheng-519	307	5	with	with	ADP
fumecheng-519	307	6	r1	r1	PROPN
fumecheng-519	307	7	for	for	ADP
fumecheng-519	307	8	cl	cl	NOUN
fumecheng-519	307	9	-	-	ADJ
fumecheng-519	307	10	pn	pn	NOUN
fumecheng-519	307	11	beam	beam	NOUN
fumecheng-519	307	12	and	and	CCONJ
fumecheng-519	307	13	2	2	NUM
fumecheng-519	307	14	0.8	0.8	NOUN
fumecheng-519	307	15			NOUN
fumecheng-519	307	16	:	:	PUNCT
fumecheng-519	307	17	a	a	X
fumecheng-519	307	18	)	)	PUNCT
fumecheng-519	307	19	1	1	NUM
fumecheng-519	307	20	20	20	NUM
fumecheng-519	307	21			NUM
fumecheng-519	307	22			PROPN
fumecheng-519	307	23	,	,	PUNCT
fumecheng-519	307	24	b	b	X
fumecheng-519	307	25	)	)	PUNCT
fumecheng-519	307	26	1	1	NUM
fumecheng-519	307	27	100	100	NUM
fumecheng-519	307	28			NUM
fumecheng-519	307	29			NUM
fumecheng-519	307	30	fig	fig	NOUN
fumecheng-519	307	31	.	.	PUNCT
fumecheng-519	308	1	14	14	NUM
fumecheng-519	308	2	variation	variation	NOUN
fumecheng-519	308	3	of	of	ADP
fumecheng-519	308	4	clp	clp	PROPN
fumecheng-519	308	5	with	with	ADP
fumecheng-519	308	6	r1	r1	PROPN
fumecheng-519	308	7	for	for	ADP
fumecheng-519	308	8	cl	cl	NOUN
fumecheng-519	308	9	-	-	ADJ
fumecheng-519	308	10	pn	pn	NOUN
fumecheng-519	308	11	beam	beam	NOUN
fumecheng-519	308	12	and	and	CCONJ
fumecheng-519	308	13	1	1	NUM
fumecheng-519	308	14	20	20	NUM
fumecheng-519	308	15			NUM
fumecheng-519	308	16			NOUN
fumecheng-519	308	17	:	:	PUNCT
fumecheng-519	308	18	a	a	X
fumecheng-519	308	19	)	)	PUNCT
fumecheng-519	308	20	type	type	NOUN
fumecheng-519	308	21	1	1	NUM
fumecheng-519	308	22	,	,	PUNCT
fumecheng-519	308	23	b	b	NOUN
fumecheng-519	308	24	)	)	PUNCT
fumecheng-519	308	25	type	type	NOUN
fumecheng-519	308	26	3	3	NUM
fumecheng-519	308	27	fig	fig	NOUN
fumecheng-519	308	28	.	.	PUNCT
fumecheng-519	309	1	15	15	NUM
fumecheng-519	309	2	variation	variation	NOUN
fumecheng-519	309	3	of	of	ADP
fumecheng-519	309	4	clp	clp	PROPN
fumecheng-519	309	5	with	with	ADP
fumecheng-519	309	6	r1	r1	PROPN
fumecheng-519	309	7	for	for	ADP
fumecheng-519	309	8	cl	cl	NOUN
fumecheng-519	309	9	-	-	ADJ
fumecheng-519	309	10	pn	pn	NOUN
fumecheng-519	309	11	beam	beam	NOUN
fumecheng-519	309	12	and	and	CCONJ
fumecheng-519	309	13	2	2	NUM
fumecheng-519	309	14	0.8	0.8	NOUN
fumecheng-519	309	15			NOUN
fumecheng-519	309	16	:	:	PUNCT
fumecheng-519	309	17	a	a	X
fumecheng-519	309	18	)	)	PUNCT
fumecheng-519	309	19	type	type	NOUN
fumecheng-519	309	20	1	1	NUM
fumecheng-519	309	21	,	,	PUNCT
fumecheng-519	309	22	b	b	NOUN
fumecheng-519	309	23	)	)	PUNCT
fumecheng-519	309	24	type	type	NOUN
fumecheng-519	309	25	3	3	NUM
fumecheng-519	309	26	the	the	DET
fumecheng-519	309	27	clp	clp	NOUN
fumecheng-519	309	28	is	be	AUX
fumecheng-519	309	29	tabulated	tabulate	VERB
fumecheng-519	309	30	as	as	SCONJ
fumecheng-519	309	31	shown	show	VERB
fumecheng-519	309	32	in	in	ADP
fumecheng-519	309	33	table	table	NOUN
fumecheng-519	309	34	4	4	NUM
fumecheng-519	309	35	for	for	ADP
fumecheng-519	309	36	clamped	clamp	VERB
fumecheng-519	309	37	-	-	PUNCT
fumecheng-519	309	38	pinned	pin	VERB
fumecheng-519	309	39	beam	beam	NOUN
fumecheng-519	309	40	.	.	PUNCT
fumecheng-519	310	1	in	in	ADP
fumecheng-519	310	2	figs.13	figs.13	PROPN
fumecheng-519	310	3	-	-	SYM
fumecheng-519	310	4	15	15	NUM
fumecheng-519	310	5	,	,	PUNCT
fumecheng-519	310	6	clp	clp	NOUN
fumecheng-519	310	7	dependence	dependence	NOUN
fumecheng-519	310	8	on	on	ADP
fumecheng-519	310	9	change	change	NOUN
fumecheng-519	310	10	r1	r1	PROPN
fumecheng-519	310	11	is	be	AUX
fumecheng-519	310	12	presented	present	VERB
fumecheng-519	310	13	while	while	SCONJ
fumecheng-519	310	14	the	the	DET
fumecheng-519	310	15	beam	beam	NOUN
fumecheng-519	310	16	type	type	NOUN
fumecheng-519	310	17	influence	influence	NOUN
fumecheng-519	310	18	,	,	PUNCT
fumecheng-519	310	19	dimension	dimension	NOUN
fumecheng-519	310	20	ratio	ratio	NOUN
fumecheng-519	310	21	2	2	NUM
fumecheng-519	310	22	and	and	CCONJ
fumecheng-519	310	23	slenderness	slenderness	NOUN
fumecheng-519	310	24	ratio	ratio	NOUN
fumecheng-519	310	25			NUM
fumecheng-519	310	26	are	be	AUX
fumecheng-519	310	27	taken	take	VERB
fumecheng-519	310	28	into	into	ADP
fumecheng-519	310	29	consideration	consideration	NOUN
fumecheng-519	310	30	.	.	PUNCT
fumecheng-519	311	1	the	the	DET
fumecheng-519	311	2	conclusions	conclusion	NOUN
fumecheng-519	311	3	presented	present	VERB
fumecheng-519	311	4	in	in	ADP
fumecheng-519	311	5	the	the	DET
fumecheng-519	311	6	previous	previous	ADJ
fumecheng-519	311	7	cases	case	NOUN
fumecheng-519	311	8	are	be	AUX
fumecheng-519	311	9	here	here	ADV
fumecheng-519	311	10	confirmed	confirm	VERB
fumecheng-519	311	11	,	,	PUNCT
fumecheng-519	311	12	especially	especially	ADV
fumecheng-519	311	13	in	in	ADP
fumecheng-519	311	14	the	the	DET
fumecheng-519	311	15	part	part	NOUN
fumecheng-519	311	16	when	when	SCONJ
fumecheng-519	311	17	the	the	DET
fumecheng-519	311	18	step	step	NOUN
fumecheng-519	311	19	position	position	NOUN
fumecheng-519	311	20	is	be	AUX
fumecheng-519	311	21	near	near	ADP
fumecheng-519	311	22	the	the	DET
fumecheng-519	311	23	supports	support	NOUN
fumecheng-519	311	24	.	.	PUNCT
fumecheng-519	312	1	critical	critical	ADJ
fumecheng-519	312	2	load	load	NOUN
fumecheng-519	312	3	parameter	parameter	NOUN
fumecheng-519	312	4	of	of	ADP
fumecheng-519	312	5	a	a	DET
fumecheng-519	312	6	timoshenko	timoshenko	ADJ
fumecheng-519	312	7	beam	beam	NOUN
fumecheng-519	312	8	with	with	ADP
fumecheng-519	312	9	one	one	NUM
fumecheng-519	312	10	-	-	PUNCT
fumecheng-519	312	11	step	step	NOUN
fumecheng-519	312	12	change	change	NOUN
fumecheng-519	312	13	in	in	ADP
fumecheng-519	312	14	cross	cross	NOUN
fumecheng-519	312	15	section	section	NOUN
fumecheng-519	312	16	275	275	NUM
fumecheng-519	312	17	5	5	NUM
fumecheng-519	312	18	.	.	PUNCT
fumecheng-519	313	1	conclusions	conclusion	NOUN
fumecheng-519	313	2	the	the	DET
fumecheng-519	313	3	frequency	frequency	NOUN
fumecheng-519	313	4	equations	equation	NOUN
fumecheng-519	313	5	of	of	ADP
fumecheng-519	313	6	one	one	NUM
fumecheng-519	313	7	-	-	PUNCT
fumecheng-519	313	8	step	step	NOUN
fumecheng-519	313	9	timoshenko	timoshenko	NOUN
fumecheng-519	313	10	beams	beam	NOUN
fumecheng-519	313	11	under	under	ADP
fumecheng-519	313	12	compressive	compressive	ADJ
fumecheng-519	313	13	axial	axial	ADJ
fumecheng-519	313	14	forces	force	NOUN
fumecheng-519	313	15	and	and	CCONJ
fumecheng-519	313	16	four	four	NUM
fumecheng-519	313	17	combinations	combination	NOUN
fumecheng-519	313	18	of	of	ADP
fumecheng-519	313	19	classical	classical	ADJ
fumecheng-519	313	20	boundary	boundary	ADJ
fumecheng-519	313	21	conditions	condition	NOUN
fumecheng-519	313	22	are	be	AUX
fumecheng-519	313	23	expressed	express	VERB
fumecheng-519	313	24	as	as	ADP
fumecheng-519	313	25	the	the	DET
fumecheng-519	313	26	fourth	fourth	ADJ
fumecheng-519	313	27	order	order	NOUN
fumecheng-519	313	28	determinant	determinant	ADJ
fumecheng-519	313	29	equated	equate	VERB
fumecheng-519	313	30	to	to	ADP
fumecheng-519	313	31	zero	zero	NUM
fumecheng-519	313	32	.	.	PUNCT
fumecheng-519	314	1	the	the	DET
fumecheng-519	314	2	critical	critical	ADJ
fumecheng-519	314	3	axial	axial	ADJ
fumecheng-519	314	4	forces	force	NOUN
fumecheng-519	314	5	are	be	AUX
fumecheng-519	314	6	expressed	express	VERB
fumecheng-519	314	7	as	as	ADP
fumecheng-519	314	8	a	a	DET
fumecheng-519	314	9	function	function	NOUN
fumecheng-519	314	10	of	of	ADP
fumecheng-519	314	11	the	the	DET
fumecheng-519	314	12	critical	critical	ADJ
fumecheng-519	314	13	load	load	NOUN
fumecheng-519	314	14	parameter	parameter	NOUN
fumecheng-519	314	15	and	and	CCONJ
fumecheng-519	314	16	the	the	DET
fumecheng-519	314	17	critical	critical	ADJ
fumecheng-519	314	18	load	load	NOUN
fumecheng-519	314	19	for	for	ADP
fumecheng-519	314	20	uniform	uniform	ADJ
fumecheng-519	314	21	beam	beam	NOUN
fumecheng-519	314	22	.	.	PUNCT
fumecheng-519	315	1	the	the	DET
fumecheng-519	315	2	critical	critical	ADJ
fumecheng-519	315	3	load	load	NOUN
fumecheng-519	315	4	parameters	parameter	NOUN
fumecheng-519	315	5	are	be	AUX
fumecheng-519	315	6	tabulated	tabulate	VERB
fumecheng-519	315	7	for	for	ADP
fumecheng-519	315	8	the	the	DET
fumecheng-519	315	9	beams	beam	NOUN
fumecheng-519	315	10	with	with	ADP
fumecheng-519	315	11	the	the	DET
fumecheng-519	315	12	classical	classical	ADJ
fumecheng-519	315	13	boundary	boundary	ADJ
fumecheng-519	315	14	conditions	condition	NOUN
fumecheng-519	315	15	.	.	PUNCT
fumecheng-519	316	1	to	to	PART
fumecheng-519	316	2	determine	determine	VERB
fumecheng-519	316	3	the	the	DET
fumecheng-519	316	4	trend	trend	NOUN
fumecheng-519	316	5	of	of	ADP
fumecheng-519	316	6	change	change	NOUN
fumecheng-519	316	7	and	and	CCONJ
fumecheng-519	316	8	sensibility	sensibility	NOUN
fumecheng-519	316	9	,	,	PUNCT
fumecheng-519	316	10	the	the	DET
fumecheng-519	316	11	dependence	dependence	NOUN
fumecheng-519	316	12	of	of	ADP
fumecheng-519	316	13	the	the	DET
fumecheng-519	316	14	critical	critical	ADJ
fumecheng-519	316	15	load	load	NOUN
fumecheng-519	316	16	parameter	parameter	NOUN
fumecheng-519	316	17	is	be	AUX
fumecheng-519	316	18	displayed	display	VERB
fumecheng-519	316	19	graphically	graphically	ADV
fumecheng-519	316	20	for	for	ADP
fumecheng-519	316	21	three	three	NUM
fumecheng-519	316	22	types	type	NOUN
fumecheng-519	316	23	of	of	ADP
fumecheng-519	316	24	beam	beam	NOUN
fumecheng-519	316	25	in	in	ADP
fumecheng-519	316	26	the	the	DET
fumecheng-519	316	27	function	function	NOUN
fumecheng-519	316	28	of	of	ADP
fumecheng-519	316	29	step	step	NOUN
fumecheng-519	316	30	position	position	NOUN
fumecheng-519	316	31	,	,	PUNCT
fumecheng-519	316	32	flexural	flexural	ADJ
fumecheng-519	316	33	rigidity	rigidity	NOUN
fumecheng-519	316	34	ratio	ratio	NOUN
fumecheng-519	316	35	and	and	CCONJ
fumecheng-519	316	36	slenderness	slenderness	NOUN
fumecheng-519	316	37	ratio	ratio	NOUN
fumecheng-519	316	38	.	.	PUNCT
fumecheng-519	317	1	less	less	ADV
fumecheng-519	317	2	sensitive	sensitive	ADJ
fumecheng-519	317	3	are	be	AUX
fumecheng-519	317	4	the	the	DET
fumecheng-519	317	5	beams	beam	NOUN
fumecheng-519	317	6	with	with	ADP
fumecheng-519	317	7	a	a	DET
fumecheng-519	317	8	rectangular	rectangular	ADJ
fumecheng-519	317	9	cross	cross	NOUN
fumecheng-519	317	10	-	-	NOUN
fumecheng-519	317	11	section	section	NOUN
fumecheng-519	317	12	(	(	PUNCT
fumecheng-519	317	13	type	type	NOUN
fumecheng-519	317	14	1	1	NUM
fumecheng-519	317	15	and	and	CCONJ
fumecheng-519	317	16	type	type	NOUN
fumecheng-519	317	17	2	2	NUM
fumecheng-519	317	18	)	)	PUNCT
fumecheng-519	317	19	,	,	PUNCT
fumecheng-519	317	20	while	while	SCONJ
fumecheng-519	317	21	the	the	DET
fumecheng-519	317	22	most	most	ADV
fumecheng-519	317	23	sensitive	sensitive	ADJ
fumecheng-519	317	24	is	be	AUX
fumecheng-519	317	25	the	the	DET
fumecheng-519	317	26	beam	beam	NOUN
fumecheng-519	317	27	with	with	ADP
fumecheng-519	317	28	a	a	DET
fumecheng-519	317	29	circular	circular	ADJ
fumecheng-519	317	30	cross	cross	NOUN
fumecheng-519	317	31	-	-	NOUN
fumecheng-519	317	32	section	section	NOUN
fumecheng-519	317	33	(	(	PUNCT
fumecheng-519	317	34	type	type	NOUN
fumecheng-519	317	35	3	3	NUM
fumecheng-519	317	36	)	)	PUNCT
fumecheng-519	317	37	.	.	PUNCT
fumecheng-519	318	1	sensitivity	sensitivity	NOUN
fumecheng-519	318	2	is	be	AUX
fumecheng-519	318	3	minor	minor	ADJ
fumecheng-519	318	4	for	for	ADP
fumecheng-519	318	5	small	small	ADJ
fumecheng-519	318	6	values	value	NOUN
fumecheng-519	318	7	of	of	ADP
fumecheng-519	318	8	slenderness	slenderness	ADJ
fumecheng-519	318	9	ratio	ratio	NOUN
fumecheng-519	318	10	due	due	ADP
fumecheng-519	318	11	to	to	ADP
fumecheng-519	318	12	the	the	DET
fumecheng-519	318	13	small	small	ADJ
fumecheng-519	318	14	influence	influence	NOUN
fumecheng-519	318	15	of	of	ADP
fumecheng-519	318	16	shear	shear	NOUN
fumecheng-519	318	17	.	.	PUNCT
fumecheng-519	319	1	influence	influence	NOUN
fumecheng-519	319	2	of	of	ADP
fumecheng-519	319	3	slenderness	slenderness	NOUN
fumecheng-519	319	4	ratio	ratio	NOUN
fumecheng-519	319	5	is	be	AUX
fumecheng-519	319	6	almost	almost	ADV
fumecheng-519	319	7	nonexistent	nonexistent	ADJ
fumecheng-519	319	8	for	for	ADP
fumecheng-519	319	9	a	a	DET
fumecheng-519	319	10	clamped	clamp	VERB
fumecheng-519	319	11	-	-	PUNCT
fumecheng-519	319	12	free	free	ADJ
fumecheng-519	319	13	beam	beam	NOUN
fumecheng-519	319	14	.	.	PUNCT
fumecheng-519	320	1	as	as	ADV
fumecheng-519	320	2	far	far	ADV
fumecheng-519	320	3	as	as	SCONJ
fumecheng-519	320	4	the	the	DET
fumecheng-519	320	5	type	type	NOUN
fumecheng-519	320	6	of	of	ADP
fumecheng-519	320	7	end	end	NOUN
fumecheng-519	320	8	support	support	NOUN
fumecheng-519	320	9	is	be	AUX
fumecheng-519	320	10	concerned	concern	VERB
fumecheng-519	320	11	,	,	PUNCT
fumecheng-519	320	12	there	there	PRON
fumecheng-519	320	13	are	be	VERB
fumecheng-519	320	14	fields	field	NOUN
fumecheng-519	320	15	with	with	ADP
fumecheng-519	320	16	very	very	ADV
fumecheng-519	320	17	small	small	ADJ
fumecheng-519	320	18	changes	change	NOUN
fumecheng-519	320	19	of	of	ADP
fumecheng-519	320	20	clp	clp	NOUN
fumecheng-519	320	21	in	in	ADP
fumecheng-519	320	22	the	the	DET
fumecheng-519	320	23	beams	beam	NOUN
fumecheng-519	320	24	in	in	ADP
fumecheng-519	320	25	which	which	PRON
fumecheng-519	320	26	one	one	NUM
fumecheng-519	320	27	of	of	ADP
fumecheng-519	320	28	the	the	DET
fumecheng-519	320	29	support	support	NOUN
fumecheng-519	320	30	is	be	AUX
fumecheng-519	320	31	clamped	clamp	VERB
fumecheng-519	320	32	.	.	PUNCT
fumecheng-519	321	1	regarding	regard	VERB
fumecheng-519	321	2	a	a	DET
fumecheng-519	321	3	near	near	ADJ
fumecheng-519	321	4	-	-	PUNCT
fumecheng-519	321	5	supports	support	NOUN
fumecheng-519	321	6	position	position	NOUN
fumecheng-519	321	7	,	,	PUNCT
fumecheng-519	321	8	sensitivity	sensitivity	NOUN
fumecheng-519	321	9	is	be	AUX
fumecheng-519	321	10	minor	minor	ADJ
fumecheng-519	321	11	for	for	ADP
fumecheng-519	321	12	pinned	pin	VERB
fumecheng-519	321	13	and	and	CCONJ
fumecheng-519	321	14	free	free	ADJ
fumecheng-519	321	15	end	end	NOUN
fumecheng-519	321	16	supports	support	NOUN
fumecheng-519	321	17	and	and	CCONJ
fumecheng-519	321	18	larger	large	ADJ
fumecheng-519	321	19	for	for	ADP
fumecheng-519	321	20	a	a	DET
fumecheng-519	321	21	clamped	clamp	VERB
fumecheng-519	321	22	end	end	NOUN
fumecheng-519	321	23	support	support	NOUN
fumecheng-519	321	24	.	.	PUNCT
fumecheng-519	322	1	also	also	ADV
fumecheng-519	322	2	,	,	PUNCT
fumecheng-519	322	3	in	in	ADP
fumecheng-519	322	4	the	the	DET
fumecheng-519	322	5	beams	beam	NOUN
fumecheng-519	322	6	where	where	SCONJ
fumecheng-519	322	7	one	one	NUM
fumecheng-519	322	8	of	of	ADP
fumecheng-519	322	9	the	the	DET
fumecheng-519	322	10	supports	support	NOUN
fumecheng-519	322	11	is	be	AUX
fumecheng-519	322	12	clamped	clamp	VERB
fumecheng-519	322	13	there	there	ADV
fumecheng-519	322	14	exists	exist	VERB
fumecheng-519	322	15	a	a	DET
fumecheng-519	322	16	field	field	NOUN
fumecheng-519	322	17	where	where	SCONJ
fumecheng-519	322	18	sensitivity	sensitivity	NOUN
fumecheng-519	322	19	is	be	AUX
fumecheng-519	322	20	very	very	ADV
fumecheng-519	322	21	small	small	ADJ
fumecheng-519	322	22	.	.	PUNCT
fumecheng-519	323	1	the	the	DET
fumecheng-519	323	2	method	method	NOUN
fumecheng-519	323	3	is	be	AUX
fumecheng-519	323	4	applicable	applicable	ADJ
fumecheng-519	323	5	for	for	ADP
fumecheng-519	323	6	any	any	DET
fumecheng-519	323	7	type	type	NOUN
fumecheng-519	323	8	of	of	ADP
fumecheng-519	323	9	the	the	DET
fumecheng-519	323	10	boundary	boundary	ADJ
fumecheng-519	323	11	conditions	condition	NOUN
fumecheng-519	323	12	and	and	CCONJ
fumecheng-519	323	13	other	other	ADJ
fumecheng-519	323	14	system	system	NOUN
fumecheng-519	323	15	parameters	parameter	NOUN
fumecheng-519	323	16	.	.	PUNCT
fumecheng-519	324	1	references	reference	NOUN
fumecheng-519	324	2	1	1	NUM
fumecheng-519	324	3	.	.	PUNCT
fumecheng-519	325	1	jang	jang	PROPN
fumecheng-519	325	2	,	,	PUNCT
fumecheng-519	325	3	s.k	s.k	PROPN
fumecheng-519	325	4	.	.	PROPN
fumecheng-519	325	5	,	,	PUNCT
fumecheng-519	325	6	bert	bert	PROPN
fumecheng-519	325	7	,	,	PUNCT
fumecheng-519	325	8	c.w	c.w	PROPN
fumecheng-519	325	9	.	.	PROPN
fumecheng-519	325	10	,	,	PUNCT
fumecheng-519	325	11	1989	1989	NUM
fumecheng-519	325	12	,	,	PUNCT
fumecheng-519	325	13	free	free	ADJ
fumecheng-519	325	14	vibration	vibration	NOUN
fumecheng-519	325	15	of	of	ADP
fumecheng-519	325	16	stepped	step	VERB
fumecheng-519	325	17	beams	beam	NOUN
fumecheng-519	325	18	:	:	PUNCT
fumecheng-519	325	19	exact	exact	ADJ
fumecheng-519	325	20	and	and	CCONJ
fumecheng-519	325	21	numerical	numerical	ADJ
fumecheng-519	325	22	solutions	solution	NOUN
fumecheng-519	325	23	,	,	PUNCT
fumecheng-519	325	24	journal	journal	NOUN
fumecheng-519	325	25	of	of	ADP
fumecheng-519	325	26	sound	sound	NOUN
fumecheng-519	325	27	and	and	CCONJ
fumecheng-519	325	28	vibration	vibration	NOUN
fumecheng-519	325	29	,	,	PUNCT
fumecheng-519	325	30	130	130	NUM
fumecheng-519	325	31	,	,	PUNCT
fumecheng-519	325	32	pp	pp	ADJ
fumecheng-519	325	33	.	.	PUNCT
fumecheng-519	326	1	342	342	NUM
fumecheng-519	326	2	-	-	SYM
fumecheng-519	326	3	346	346	NUM
fumecheng-519	326	4	.	.	PUNCT
fumecheng-519	327	1	2	2	NUM
fumecheng-519	327	2	.	.	X
fumecheng-519	327	3	jang	jang	PROPN
fumecheng-519	327	4	,	,	PUNCT
fumecheng-519	327	5	s.k	s.k	PROPN
fumecheng-519	327	6	.	.	PROPN
fumecheng-519	327	7	,	,	PUNCT
fumecheng-519	327	8	bert	bert	PROPN
fumecheng-519	327	9	,	,	PUNCT
fumecheng-519	327	10	c.w	c.w	PROPN
fumecheng-519	327	11	.	.	PROPN
fumecheng-519	327	12	,	,	PUNCT
fumecheng-519	327	13	1989	1989	NUM
fumecheng-519	327	14	,	,	PUNCT
fumecheng-519	327	15	free	free	ADJ
fumecheng-519	327	16	vibration	vibration	NOUN
fumecheng-519	327	17	of	of	ADP
fumecheng-519	327	18	stepped	step	VERB
fumecheng-519	327	19	beams	beam	NOUN
fumecheng-519	327	20	:	:	PUNCT
fumecheng-519	327	21	higher	high	ADJ
fumecheng-519	327	22	mode	mode	NOUN
fumecheng-519	327	23	frequencies	frequency	NOUN
fumecheng-519	327	24	and	and	CCONJ
fumecheng-519	327	25	effects	effect	NOUN
fumecheng-519	327	26	of	of	ADP
fumecheng-519	327	27	steps	step	NOUN
fumecheng-519	327	28	on	on	ADP
fumecheng-519	327	29	frequency	frequency	NOUN
fumecheng-519	327	30	,	,	PUNCT
fumecheng-519	327	31	journal	journal	NOUN
fumecheng-519	327	32	of	of	ADP
fumecheng-519	327	33	sound	sound	NOUN
fumecheng-519	327	34	and	and	CCONJ
fumecheng-519	327	35	vibration	vibration	NOUN
fumecheng-519	327	36	,	,	PUNCT
fumecheng-519	327	37	132	132	NUM
fumecheng-519	327	38	,	,	PUNCT
fumecheng-519	327	39	pp	pp	ADJ
fumecheng-519	327	40	.	.	PUNCT
fumecheng-519	328	1	164	164	NUM
fumecheng-519	328	2	-	-	SYM
fumecheng-519	328	3	168	168	NUM
fumecheng-519	328	4	.	.	PUNCT
fumecheng-519	329	1	3	3	X
fumecheng-519	329	2	.	.	NUM
fumecheng-519	329	3	naguleswaran	naguleswaran	PROPN
fumecheng-519	329	4	,	,	PUNCT
fumecheng-519	329	5	a.	a.	NOUN
fumecheng-519	329	6	,	,	PUNCT
fumecheng-519	329	7	2006	2006	NUM
fumecheng-519	329	8	,	,	PUNCT
fumecheng-519	329	9	vibration	vibration	NOUN
fumecheng-519	329	10	and	and	CCONJ
fumecheng-519	329	11	stability	stability	NOUN
fumecheng-519	329	12	of	of	ADP
fumecheng-519	329	13	ring	ring	NOUN
fumecheng-519	329	14	-	-	PUNCT
fumecheng-519	329	15	stiffened	stiffen	VERB
fumecheng-519	329	16	euler	euler	NOUN
fumecheng-519	329	17	-	-	PUNCT
fumecheng-519	329	18	bernoulli	bernoulli	NOUN
fumecheng-519	329	19	tie	tie	NOUN
fumecheng-519	329	20	-	-	PUNCT
fumecheng-519	329	21	bars	bar	NOUN
fumecheng-519	329	22	,	,	PUNCT
fumecheng-519	329	23	applied	apply	VERB
fumecheng-519	329	24	mathematical	mathematical	ADJ
fumecheng-519	329	25	modelling	modelling	NOUN
fumecheng-519	329	26	,	,	PUNCT
fumecheng-519	329	27	30	30	NUM
fumecheng-519	329	28	,	,	PUNCT
fumecheng-519	329	29	pp	pp	ADJ
fumecheng-519	329	30	.	.	PUNCT
fumecheng-519	330	1	261	261	NUM
fumecheng-519	330	2	-	-	SYM
fumecheng-519	330	3	277	277	NUM
fumecheng-519	330	4	.	.	PUNCT
fumecheng-519	331	1	4	4	X
fumecheng-519	331	2	.	.	NUM
fumecheng-519	331	3	naguleswaran	naguleswaran	PROPN
fumecheng-519	331	4	,	,	PUNCT
fumecheng-519	331	5	a.	a.	NOUN
fumecheng-519	331	6	,	,	PUNCT
fumecheng-519	331	7	2004	2004	NUM
fumecheng-519	331	8	,	,	PUNCT
fumecheng-519	331	9	transverse	transverse	NOUN
fumecheng-519	331	10	vibration	vibration	NOUN
fumecheng-519	331	11	and	and	CCONJ
fumecheng-519	331	12	stability	stability	NOUN
fumecheng-519	331	13	of	of	ADP
fumecheng-519	331	14	an	an	DET
fumecheng-519	331	15	euler	euler	NOUN
fumecheng-519	331	16	-	-	PUNCT
fumecheng-519	331	17	bernoulli	bernoulli	NOUN
fumecheng-519	331	18	beam	beam	NOUN
fumecheng-519	331	19	with	with	ADP
fumecheng-519	331	20	step	step	NOUN
fumecheng-519	331	21	change	change	NOUN
fumecheng-519	331	22	in	in	ADP
fumecheng-519	331	23	cross	cross	NOUN
fumecheng-519	331	24	-	-	NOUN
fumecheng-519	331	25	section	section	NOUN
fumecheng-519	331	26	and	and	CCONJ
fumecheng-519	331	27	in	in	ADP
fumecheng-519	331	28	axial	axial	ADJ
fumecheng-519	331	29	force	force	NOUN
fumecheng-519	331	30	,	,	PUNCT
fumecheng-519	331	31	journal	journal	NOUN
fumecheng-519	331	32	of	of	ADP
fumecheng-519	331	33	sound	sound	NOUN
fumecheng-519	331	34	and	and	CCONJ
fumecheng-519	331	35	vibration	vibration	NOUN
fumecheng-519	331	36	,	,	PUNCT
fumecheng-519	331	37	270	270	NUM
fumecheng-519	331	38	,	,	PUNCT
fumecheng-519	331	39	pp.1045	pp.1045	NOUN
fumecheng-519	331	40	-	-	PUNCT
fumecheng-519	331	41	1055	1055	NUM
fumecheng-519	331	42	.	.	PUNCT
fumecheng-519	332	1	5	5	X
fumecheng-519	332	2	.	.	NUM
fumecheng-519	332	3	naguleswaran	naguleswaran	PROPN
fumecheng-519	332	4	,	,	PUNCT
fumecheng-519	332	5	a.	a.	NOUN
fumecheng-519	332	6	,	,	PUNCT
fumecheng-519	332	7	2003	2003	NUM
fumecheng-519	332	8	,	,	PUNCT
fumecheng-519	332	9	vibration	vibration	NOUN
fumecheng-519	332	10	and	and	CCONJ
fumecheng-519	332	11	stability	stability	NOUN
fumecheng-519	332	12	of	of	ADP
fumecheng-519	332	13	an	an	DET
fumecheng-519	332	14	euler	euler	NOUN
fumecheng-519	332	15	-	-	PUNCT
fumecheng-519	332	16	bernoulli	bernoulli	NOUN
fumecheng-519	332	17	beam	beam	NOUN
fumecheng-519	332	18	with	with	ADP
fumecheng-519	332	19	up	up	ADP
fumecheng-519	332	20	to	to	PART
fumecheng-519	332	21	three	three	NUM
fumecheng-519	332	22	-	-	PUNCT
fumecheng-519	332	23	step	step	NOUN
fumecheng-519	332	24	changes	change	NOUN
fumecheng-519	332	25	in	in	ADP
fumecheng-519	332	26	cross	cross	NOUN
fumecheng-519	332	27	-	-	NOUN
fumecheng-519	332	28	section	section	NOUN
fumecheng-519	332	29	and	and	CCONJ
fumecheng-519	332	30	in	in	ADP
fumecheng-519	332	31	axial	axial	ADJ
fumecheng-519	332	32	force	force	NOUN
fumecheng-519	332	33	,	,	PUNCT
fumecheng-519	332	34	international	international	ADJ
fumecheng-519	332	35	journal	journal	NOUN
fumecheng-519	332	36	of	of	ADP
fumecheng-519	332	37	mechanical	mechanical	ADJ
fumecheng-519	332	38	sciences	science	NOUN
fumecheng-519	332	39	,	,	PUNCT
fumecheng-519	332	40	45	45	NUM
fumecheng-519	332	41	,	,	PUNCT
fumecheng-519	332	42	pp.1563	pp.1563	PROPN
fumecheng-519	332	43	-	-	PUNCT
fumecheng-519	332	44	157	157	NUM
fumecheng-519	332	45	9	9	NUM
fumecheng-519	332	46	.	.	NOUN
fumecheng-519	333	1	6	6	NUM
fumecheng-519	333	2	.	.	NUM
fumecheng-519	333	3	naguleswaran	naguleswaran	PROPN
fumecheng-519	333	4	,	,	PUNCT
fumecheng-519	333	5	a.	a.	NOUN
fumecheng-519	333	6	,	,	PUNCT
fumecheng-519	333	7	2002	2002	NUM
fumecheng-519	333	8	,	,	PUNCT
fumecheng-519	333	9	natural	natural	ADJ
fumecheng-519	333	10	frequencies	frequency	NOUN
fumecheng-519	333	11	,	,	PUNCT
fumecheng-519	333	12	sensitivity	sensitivity	NOUN
fumecheng-519	333	13	and	and	CCONJ
fumecheng-519	333	14	mode	mode	NOUN
fumecheng-519	333	15	shape	shape	NOUN
fumecheng-519	334	1	details	detail	NOUN
fumecheng-519	334	2	of	of	ADP
fumecheng-519	334	3	an	an	DET
fumecheng-519	334	4	euler	euler	NOUN
fumecheng-519	334	5	-	-	PUNCT
fumecheng-519	334	6	bernoulli	bernoulli	NOUN
fumecheng-519	334	7	beam	beam	NOUN
fumecheng-519	334	8	with	with	ADP
fumecheng-519	334	9	one	one	NUM
fumecheng-519	334	10	-	-	PUNCT
fumecheng-519	334	11	step	step	NOUN
fumecheng-519	334	12	change	change	NOUN
fumecheng-519	334	13	in	in	ADP
fumecheng-519	334	14	cross	cross	NOUN
fumecheng-519	334	15	-	-	NOUN
fumecheng-519	334	16	section	section	NOUN
fumecheng-519	334	17	and	and	CCONJ
fumecheng-519	334	18	with	with	ADP
fumecheng-519	334	19	endes	ende	NOUN
fumecheng-519	334	20	on	on	ADP
fumecheng-519	334	21	classical	classical	ADJ
fumecheng-519	334	22	supports	support	NOUN
fumecheng-519	334	23	,	,	PUNCT
fumecheng-519	334	24	journal	journal	NOUN
fumecheng-519	334	25	of	of	ADP
fumecheng-519	334	26	sound	sound	NOUN
fumecheng-519	334	27	and	and	CCONJ
fumecheng-519	334	28	vibration	vibration	NOUN
fumecheng-519	334	29	,	,	PUNCT
fumecheng-519	334	30	252	252	NUM
fumecheng-519	334	31	,	,	PUNCT
fumecheng-519	334	32	pp.1045	pp.1045	NOUN
fumecheng-519	334	33	-	-	PUNCT
fumecheng-519	334	34	1055	1055	NUM
fumecheng-519	334	35	.	.	PUNCT
fumecheng-519	335	1	7	7	X
fumecheng-519	335	2	.	.	NUM
fumecheng-519	335	3	naguleswaran	naguleswaran	PROPN
fumecheng-519	335	4	,	,	PUNCT
fumecheng-519	335	5	a.	a.	NOUN
fumecheng-519	335	6	,	,	PUNCT
fumecheng-519	335	7	2002	2002	NUM
fumecheng-519	335	8	,	,	PUNCT
fumecheng-519	335	9	vibration	vibration	NOUN
fumecheng-519	335	10	of	of	ADP
fumecheng-519	335	11	an	an	DET
fumecheng-519	335	12	euler	euler	NOUN
fumecheng-519	335	13	-	-	PUNCT
fumecheng-519	335	14	bernoulli	bernoulli	NOUN
fumecheng-519	335	15	beam	beam	NOUN
fumecheng-519	335	16	on	on	ADP
fumecheng-519	335	17	elastic	elastic	ADJ
fumecheng-519	335	18	end	end	NOUN
fumecheng-519	335	19	supports	support	NOUN
fumecheng-519	335	20	and	and	CCONJ
fumecheng-519	335	21	with	with	ADP
fumecheng-519	335	22	up	up	ADP
fumecheng-519	335	23	to	to	PART
fumecheng-519	335	24	three	three	NUM
fumecheng-519	335	25	step	step	NOUN
fumecheng-519	335	26	changes	change	NOUN
fumecheng-519	335	27	in	in	ADP
fumecheng-519	335	28	cross	cross	NOUN
fumecheng-519	335	29	-	-	NOUN
fumecheng-519	335	30	section	section	NOUN
fumecheng-519	335	31	,	,	PUNCT
fumecheng-519	335	32	international	international	ADJ
fumecheng-519	335	33	journal	journal	NOUN
fumecheng-519	335	34	of	of	ADP
fumecheng-519	335	35	mechanical	mechanical	ADJ
fumecheng-519	335	36	sciences	science	NOUN
fumecheng-519	335	37	,	,	PUNCT
fumecheng-519	335	38	44	44	NUM
fumecheng-519	335	39	pp.2541	pp.2541	NOUN
fumecheng-519	335	40	-	-	PUNCT
fumecheng-519	335	41	2555	2555	NUM
fumecheng-519	335	42	.	.	PUNCT
fumecheng-519	336	1	8	8	NUM
fumecheng-519	336	2	.	.	X
fumecheng-519	337	1	bokaian	bokaian	PROPN
fumecheng-519	337	2	,	,	PUNCT
fumecheng-519	337	3	a.	a.	NOUN
fumecheng-519	337	4	,	,	PUNCT
fumecheng-519	337	5	1990	1990	NUM
fumecheng-519	337	6	,	,	PUNCT
fumecheng-519	337	7	natural	natural	ADJ
fumecheng-519	337	8	frequncies	frequncie	NOUN
fumecheng-519	337	9	of	of	ADP
fumecheng-519	337	10	beams	beam	NOUN
fumecheng-519	337	11	under	under	ADP
fumecheng-519	337	12	tensile	tensile	NOUN
fumecheng-519	337	13	axial	axial	ADJ
fumecheng-519	337	14	loads	load	NOUN
fumecheng-519	337	15	,	,	PUNCT
fumecheng-519	337	16	journal	journal	NOUN
fumecheng-519	337	17	of	of	ADP
fumecheng-519	337	18	sound	sound	NOUN
fumecheng-519	337	19	and	and	CCONJ
fumecheng-519	337	20	vibration	vibration	NOUN
fumecheng-519	337	21	,	,	PUNCT
fumecheng-519	337	22	142	142	NUM
fumecheng-519	337	23	,	,	PUNCT
fumecheng-519	337	24	pp	pp	ADJ
fumecheng-519	337	25	.	.	PUNCT
fumecheng-519	338	1	481	481	NUM
fumecheng-519	338	2	-	-	SYM
fumecheng-519	338	3	498	498	NUM
fumecheng-519	338	4	.	.	PUNCT
fumecheng-519	339	1	9	9	X
fumecheng-519	339	2	.	.	X
fumecheng-519	339	3	bokaian	bokaian	PROPN
fumecheng-519	339	4	,	,	PUNCT
fumecheng-519	339	5	a.	a.	NOUN
fumecheng-519	339	6	,	,	PUNCT
fumecheng-519	339	7	1988	1988	NUM
fumecheng-519	339	8	,	,	PUNCT
fumecheng-519	339	9	natural	natural	ADJ
fumecheng-519	339	10	frequncies	frequncie	NOUN
fumecheng-519	339	11	of	of	ADP
fumecheng-519	339	12	beams	beam	NOUN
fumecheng-519	339	13	under	under	ADP
fumecheng-519	339	14	compressive	compressive	ADJ
fumecheng-519	339	15	axial	axial	ADJ
fumecheng-519	339	16	loads	load	NOUN
fumecheng-519	339	17	,	,	PUNCT
fumecheng-519	339	18	journal	journal	NOUN
fumecheng-519	339	19	of	of	ADP
fumecheng-519	339	20	sound	sound	NOUN
fumecheng-519	339	21	and	and	CCONJ
fumecheng-519	339	22	vibration	vibration	NOUN
fumecheng-519	339	23	,	,	PUNCT
fumecheng-519	339	24	126	126	NUM
fumecheng-519	339	25	,	,	PUNCT
fumecheng-519	339	26	pp	pp	ADJ
fumecheng-519	339	27	.	.	PUNCT
fumecheng-519	340	1	49	49	NUM
fumecheng-519	340	2	-	-	SYM
fumecheng-519	340	3	65	65	NUM
fumecheng-519	340	4	.	.	PUNCT
fumecheng-519	341	1	10	10	NUM
fumecheng-519	341	2	.	.	X
fumecheng-519	341	3	mao	mao	PROPN
fumecheng-519	341	4	,	,	PUNCT
fumecheng-519	341	5	q.	q.	PROPN
fumecheng-519	341	6	,	,	PUNCT
fumecheng-519	341	7	2011	2011	NUM
fumecheng-519	341	8	,	,	PUNCT
fumecheng-519	341	9	free	free	ADJ
fumecheng-519	341	10	vibration	vibration	NOUN
fumecheng-519	341	11	analysis	analysis	NOUN
fumecheng-519	341	12	of	of	ADP
fumecheng-519	341	13	ultiple	ultiple	NOUN
fumecheng-519	341	14	-	-	PUNCT
fumecheng-519	341	15	stepped	step	VERB
fumecheng-519	341	16	beams	beam	NOUN
fumecheng-519	341	17	by	by	ADP
fumecheng-519	341	18	using	use	VERB
fumecheng-519	341	19	adomian	adomian	NOUN
fumecheng-519	341	20	decomposition	decomposition	NOUN
fumecheng-519	341	21	method	method	NOUN
fumecheng-519	341	22	,	,	PUNCT
fumecheng-519	341	23	mathematical	mathematical	ADJ
fumecheng-519	341	24	and	and	CCONJ
fumecheng-519	341	25	computer	computer	NOUN
fumecheng-519	341	26	modelling	modelling	NOUN
fumecheng-519	341	27	,	,	PUNCT
fumecheng-519	341	28	54	54	NUM
fumecheng-519	341	29	,	,	PUNCT
fumecheng-519	341	30	pp.756	pp.756	PROPN
fumecheng-519	341	31	-	-	PUNCT
fumecheng-519	341	32	764	764	NUM
fumecheng-519	341	33	.	.	PUNCT
fumecheng-519	342	1	11	11	NUM
fumecheng-519	342	2	.	.	X
fumecheng-519	342	3	mao	mao	PROPN
fumecheng-519	342	4	,	,	PUNCT
fumecheng-519	342	5	q.	q.	PROPN
fumecheng-519	342	6	,	,	PUNCT
fumecheng-519	342	7	pietrzko	pietrzko	NOUN
fumecheng-519	342	8	,	,	PUNCT
fumecheng-519	342	9	s.	s.	PROPN
fumecheng-519	342	10	,	,	PUNCT
fumecheng-519	342	11	2010	2010	NUM
fumecheng-519	342	12	,	,	PUNCT
fumecheng-519	342	13	free	free	ADJ
fumecheng-519	342	14	vibration	vibration	NOUN
fumecheng-519	342	15	analysis	analysis	NOUN
fumecheng-519	342	16	of	of	ADP
fumecheng-519	342	17	stepped	step	VERB
fumecheng-519	342	18	beams	beam	NOUN
fumecheng-519	342	19	by	by	ADP
fumecheng-519	342	20	using	use	VERB
fumecheng-519	342	21	adomian	adomian	NOUN
fumecheng-519	342	22	decomposition	decomposition	NOUN
fumecheng-519	342	23	method	method	NOUN
fumecheng-519	342	24	,	,	PUNCT
fumecheng-519	342	25	applied	apply	VERB
fumecheng-519	342	26	mathematics	mathematic	NOUN
fumecheng-519	342	27	and	and	CCONJ
fumecheng-519	342	28	computation	computation	NOUN
fumecheng-519	342	29	,	,	PUNCT
fumecheng-519	342	30	217	217	NUM
fumecheng-519	342	31	,	,	PUNCT
fumecheng-519	342	32	pp	pp	ADJ
fumecheng-519	342	33	.	.	PUNCT
fumecheng-519	343	1	3429	3429	NUM
fumecheng-519	343	2	-	-	SYM
fumecheng-519	343	3	3441	3441	NUM
fumecheng-519	343	4	.	.	PUNCT
fumecheng-519	344	1	12	12	NUM
fumecheng-519	344	2	.	.	PUNCT
fumecheng-519	345	1	wu	wu	PROPN
fumecheng-519	345	2	,	,	PUNCT
fumecheng-519	345	3	j	j	PROPN
fumecheng-519	345	4	-	-	PUNCT
fumecheng-519	345	5	s.	s.	PROPN
fumecheng-519	345	6	,	,	PUNCT
fumecheng-519	345	7	chang	chang	PROPN
fumecheng-519	345	8	,	,	PUNCT
fumecheng-519	345	9	b	b	PROPN
fumecheng-519	345	10	-	-	PUNCT
fumecheng-519	345	11	h.	h.	NOUN
fumecheng-519	345	12	,	,	PUNCT
fumecheng-519	345	13	2013	2013	NUM
fumecheng-519	345	14	,	,	PUNCT
fumecheng-519	345	15	free	free	ADJ
fumecheng-519	345	16	vibration	vibration	NOUN
fumecheng-519	345	17	of	of	ADP
fumecheng-519	345	18	axial	axial	ADJ
fumecheng-519	345	19	-	-	PUNCT
fumecheng-519	345	20	loaded	load	VERB
fumecheng-519	345	21	multi	multi	ADJ
fumecheng-519	345	22	-	-	ADJ
fumecheng-519	345	23	step	step	ADJ
fumecheng-519	345	24	timoshenko	timoshenko	NOUN
fumecheng-519	345	25	beam	beam	NOUN
fumecheng-519	345	26	carrying	carry	VERB
fumecheng-519	345	27	arbitrary	arbitrary	ADJ
fumecheng-519	345	28	concentrated	concentrated	ADJ
fumecheng-519	345	29	elements	element	NOUN
fumecheng-519	345	30	using	use	VERB
fumecheng-519	345	31	continuous	continuous	ADJ
fumecheng-519	345	32	-	-	PUNCT
fumecheng-519	345	33	mass	mass	NOUN
fumecheng-519	345	34	transfer	transfer	NOUN
fumecheng-519	345	35	matrix	matrix	NOUN
fumecheng-519	345	36	method	method	NOUN
fumecheng-519	345	37	,	,	PUNCT
fumecheng-519	345	38	european	european	PROPN
fumecheng-519	345	39	journal	journal	PROPN
fumecheng-519	345	40	of	of	ADP
fumecheng-519	345	41	mechanics	mechanic	NOUN
fumecheng-519	345	42	a	a	DET
fumecheng-519	345	43	/	/	SYM
fumecheng-519	345	44	solids	solid	NOUN
fumecheng-519	345	45	,	,	PUNCT
fumecheng-519	345	46	38	38	NUM
fumecheng-519	345	47	,	,	PUNCT
fumecheng-519	345	48	pp	pp	ADJ
fumecheng-519	345	49	.	.	PUNCT
fumecheng-519	346	1	20	20	NUM
fumecheng-519	346	2	-	-	SYM
fumecheng-519	346	3	37	37	NUM
fumecheng-519	346	4	.	.	PUNCT
fumecheng-519	347	1	13	13	NUM
fumecheng-519	347	2	.	.	X
fumecheng-519	348	1	zhang	zhang	PROPN
fumecheng-519	348	2	,	,	PUNCT
fumecheng-519	348	3	z.	z.	PROPN
fumecheng-519	348	4	,	,	PUNCT
fumecheng-519	348	5	huang	huang	PROPN
fumecheng-519	348	6	,	,	PUNCT
fumecheng-519	348	7	x.	x.	PROPN
fumecheng-519	348	8	,	,	PUNCT
fumecheng-519	348	9	zhang	zhang	PROPN
fumecheng-519	348	10	,	,	PUNCT
fumecheng-519	348	11	z.	z.	PROPN
fumecheng-519	348	12	,	,	PUNCT
fumecheng-519	348	13	hua	hua	PROPN
fumecheng-519	348	14	,	,	PUNCT
fumecheng-519	348	15	h.	h.	PROPN
fumecheng-519	348	16	,	,	PUNCT
fumecheng-519	348	17	2014	2014	NUM
fumecheng-519	348	18	,	,	PUNCT
fumecheng-519	348	19	on	on	ADP
fumecheng-519	348	20	the	the	DET
fumecheng-519	348	21	transverse	transverse	NOUN
fumecheng-519	348	22	vibration	vibration	NOUN
fumecheng-519	348	23	of	of	ADP
fumecheng-519	348	24	timoshenko	timoshenko	ADJ
fumecheng-519	348	25	double	double	ADJ
fumecheng-519	348	26	-	-	PUNCT
fumecheng-519	348	27	beam	beam	NOUN
fumecheng-519	348	28	systems	system	NOUN
fumecheng-519	348	29	coupled	couple	VERB
fumecheng-519	348	30	with	with	ADP
fumecheng-519	348	31	various	various	ADJ
fumecheng-519	348	32	discontinuities	discontinuity	NOUN
fumecheng-519	348	33	,	,	PUNCT
fumecheng-519	348	34	international	international	ADJ
fumecheng-519	348	35	journal	journal	NOUN
fumecheng-519	348	36	of	of	ADP
fumecheng-519	348	37	mechanical	mechanical	ADJ
fumecheng-519	348	38	sciences	science	NOUN
fumecheng-519	348	39	,	,	PUNCT
fumecheng-519	348	40	89	89	NUM
fumecheng-519	348	41	,	,	PUNCT
fumecheng-519	348	42	pp	pp	ADJ
fumecheng-519	348	43	.	.	PUNCT
fumecheng-519	349	1	222	222	NUM
fumecheng-519	349	2	-	-	SYM
fumecheng-519	349	3	241	241	NUM
fumecheng-519	349	4	.	.	NOUN
fumecheng-519	349	5	276	276	NUM
fumecheng-519	349	6	g.	g.	PROPN
fumecheng-519	349	7	janevski	janevski	PROPN
fumecheng-519	349	8	,	,	PUNCT
fumecheng-519	349	9	m.	m.	NOUN
fumecheng-519	349	10	stamenković	stamenković	PROPN
fumecheng-519	349	11	,	,	PUNCT
fumecheng-519	349	12	m.	m.	NOUN
fumecheng-519	349	13	seabra	seabra	VERB
fumecheng-519	349	14	kritiĉna	kritiĉna	X
fumecheng-519	349	15	opterećenje	opterećenje	PROPN
fumecheng-519	349	16	timošenkove	timošenkove	PROPN
fumecheng-519	349	17	stepenaste	stepenaste	PROPN
fumecheng-519	349	18	grede	grede	PROPN
fumecheng-519	349	19	sa	sa	PROPN
fumecheng-519	349	20	jednom	jednom	PROPN
fumecheng-519	349	21	promenom	promenom	PROPN
fumecheng-519	349	22	popreĉnog	popreĉnog	PROPN
fumecheng-519	349	23	preseka	preseka	PROPN
fumecheng-519	349	24	u	u	PROPN
fumecheng-519	349	25	radu	radu	PROPN
fumecheng-519	349	26	se	se	PROPN
fumecheng-519	349	27	analiziraju	analiziraju	PROPN
fumecheng-519	349	28	transferzalne	transferzalne	PROPN
fumecheng-519	349	29	oscilacije	oscilacije	NOUN
fumecheng-519	349	30	timošenkove	timošenkove	NOUN
fumecheng-519	349	31	grede	grede	PROPN
fumecheng-519	349	32	sa	sa	PROPN
fumecheng-519	349	33	jednom	jednom	PROPN
fumecheng-519	349	34	promenom	promenom	PROPN
fumecheng-519	349	35	poprečnog	poprečnog	PROPN
fumecheng-519	349	36	preseka	preseka	PROPN
fumecheng-519	349	37	i	i	PRON
fumecheng-519	349	38	pritisnute	pritisnute	VERB
fumecheng-519	349	39	aksijalnim	aksijalnim	ADJ
fumecheng-519	349	40	silama	silama	NOUN
fumecheng-519	349	41	koje	koje	PROPN
fumecheng-519	349	42	su	su	PROPN
fumecheng-519	349	43	konstantne	konstantne	PROPN
fumecheng-519	349	44	duž	duž	PROPN
fumecheng-519	349	45	grede	grede	PROPN
fumecheng-519	349	46	.	.	PUNCT
fumecheng-519	350	1	razmatrane	razmatrane	PROPN
fumecheng-519	350	2	su	su	PROPN
fumecheng-519	350	3	tri	tri	PROPN
fumecheng-519	350	4	tipa	tipa	PROPN
fumecheng-519	350	5	grede	grede	PROPN
fumecheng-519	350	6	koje	koje	PROPN
fumecheng-519	350	7	se	se	PROPN
fumecheng-519	350	8	često	često	PROPN
fumecheng-519	350	9	koriste	koriste	VERB
fumecheng-519	350	10	u	u	PROPN
fumecheng-519	350	11	inžinjerskoj	inžinjerskoj	NOUN
fumecheng-519	350	12	praksi	praksi	NOUN
fumecheng-519	350	13	.	.	PUNCT
fumecheng-519	351	1	frekventna	frekventna	PROPN
fumecheng-519	351	2	jednačina	jednačina	PROPN
fumecheng-519	351	3	timošenkove	timošenkove	VERB
fumecheng-519	351	4	grede	grede	PROPN
fumecheng-519	351	5	je	je	PROPN
fumecheng-519	351	6	prikazana	prikazana	PROPN
fumecheng-519	351	7	u	u	PROPN
fumecheng-519	351	8	obliku	obliku	VERB
fumecheng-519	351	9	determinante	determinante	PROPN
fumecheng-519	351	10	četvrtog	četvrtog	PROPN
fumecheng-519	351	11	reda	reda	PROPN
fumecheng-519	351	12	.	.	PUNCT
fumecheng-519	352	1	kritično	kritično	PROPN
fumecheng-519	352	2	opterećenje	opterećenje	PROPN
fumecheng-519	352	3	je	je	PROPN
fumecheng-519	352	4	izraženo	izraženo	PROPN
fumecheng-519	352	5	uvodjenjem	uvodjenjem	PROPN
fumecheng-519	352	6	parametra	parametra	PROPN
fumecheng-519	352	7	kritičnog	kritičnog	PROPN
fumecheng-519	352	8	opterećenja	opterećenja	NOUN
fumecheng-519	352	9	čije	čije	NOUN
fumecheng-519	352	10	su	su	PROPN
fumecheng-519	352	11	vrednost	vrednost	ADP
fumecheng-519	352	12	iza	iza	PROPN
fumecheng-519	352	13	gredu	gredu	PROPN
fumecheng-519	352	14	sa	sa	PROPN
fumecheng-519	352	15	standardnim	standardnim	PROPN
fumecheng-519	352	16	graničnim	graničnim	PROPN
fumecheng-519	352	17	uslovima	uslovima	PROPN
fumecheng-519	352	18	prikazane	prikazane	PROPN
fumecheng-519	352	19	u	u	PROPN
fumecheng-519	352	20	tabelama	tabelama	NOUN
fumecheng-519	352	21	.	.	PUNCT
fumecheng-519	353	1	na	na	ADP
fumecheng-519	353	2	osnovu	osnovu	ADJ
fumecheng-519	353	3	tih	tih	PROPN
fumecheng-519	353	4	rezultata	rezultata	NOUN
fumecheng-519	353	5	i	i	PROPN
fumecheng-519	353	6	drugih	drugih	PROPN
fumecheng-519	353	7	vrednosti	vrednosti	PROPN
fumecheng-519	353	8	koje	koje	PROPN
fumecheng-519	353	9	su	su	PROPN
fumecheng-519	353	10	sračunate	sračunate	PROPN
fumecheng-519	353	11	za	za	PROPN
fumecheng-519	353	12	odredjene	odredjene	PROPN
fumecheng-519	353	13	parametre	parametre	PROPN
fumecheng-519	353	14	sistema	sistema	NOUN
fumecheng-519	353	15	,	,	PUNCT
fumecheng-519	353	16	zavisnost	zavisnost	NOUN
fumecheng-519	353	17	parametra	parametra	PROPN
fumecheng-519	353	18	kritičnog	kritičnog	PROPN
fumecheng-519	353	19	opterećenja	opterećenja	PROPN
fumecheng-519	353	20	je	je	PROPN
fumecheng-519	353	21	prikazana	prikazana	PROPN
fumecheng-519	353	22	grafički	grafički	PROPN
fumecheng-519	353	23	u	u	PROPN
fumecheng-519	353	24	funkciji	funkciji	PROPN
fumecheng-519	353	25	položaja	položaja	PROPN
fumecheng-519	353	26	promene	promene	VERB
fumecheng-519	353	27	poprečnog	poprečnog	PROPN
fumecheng-519	353	28	preseka	preseka	PROPN
fumecheng-519	353	29	.	.	PUNCT
fumecheng-519	354	1	ključne	ključne	PROPN
fumecheng-519	354	2	reči	reči	NOUN
fumecheng-519	354	3	:	:	PUNCT
fumecheng-519	354	4	timošenkova	timošenkova	PRON
fumecheng-519	354	5	greda	greda	NOUN
fumecheng-519	354	6	,	,	PUNCT
fumecheng-519	354	7	frekventna	frekventna	NOUN
fumecheng-519	354	8	jednačina	jednačina	PROPN
fumecheng-519	354	9	,	,	PUNCT
fumecheng-519	354	10	kritična	kritična	PROPN
fumecheng-519	354	11	sila	sila	PROPN
fumecheng-519	354	12	,	,	PUNCT
fumecheng-519	354	13	parametar	parametar	PROPN
fumecheng-519	354	14	kritičnog	kritičnog	PROPN
fumecheng-519	354	15	opterećenja	opterećenja	PROPN
fumecheng-519	354	16	,	,	PUNCT
fumecheng-519	354	17	stepenasta	stepenasta	PROPN
fumecheng-519	354	18	greda	greda	NOUN
fumecheng-519	354	19	.	.	PUNCT