id	sid	tid	token	lemma	pos
aiti-5290	1	1	microsoft	microsoft	PROPN
aiti-5290	1	2	word	word	NOUN
aiti-5290	1	3	6	6	NUM
aiti-5290	1	4	-	-	PUNCT
aiti-5290	1	5	aiti#5290	aiti#5290	NUM
aiti-5290	1	6	270-291.docx	270-291.docx	NUM
aiti-5290	1	7	advances	advance	NOUN
aiti-5290	1	8	in	in	ADP
aiti-5290	1	9	technology	technology	NOUN
aiti-5290	1	10	innovation	innovation	NOUN
aiti-5290	1	11	,	,	PUNCT
aiti-5290	1	12	vol	vol	NOUN
aiti-5290	1	13	.	.	PROPN
aiti-5290	1	14	5	5	NUM
aiti-5290	1	15	,	,	PUNCT
aiti-5290	1	16	no	no	INTJ
aiti-5290	1	17	.	.	NOUN
aiti-5290	1	18	4	4	NUM
aiti-5290	1	19	,	,	PUNCT
aiti-5290	1	20	2020	2020	NUM
aiti-5290	1	21	,	,	PUNCT
aiti-5290	1	22	pp	pp	ADV
aiti-5290	1	23	.	.	PUNCT
aiti-5290	2	1	270	270	NUM
aiti-5290	2	2	-	-	SYM
aiti-5290	2	3	291	291	NUM
aiti-5290	2	4	study	study	NOUN
aiti-5290	2	5	of	of	ADP
aiti-5290	2	6	primary	primary	ADJ
aiti-5290	2	7	and	and	CCONJ
aiti-5290	2	8	internal	internal	ADJ
aiti-5290	2	9	resonance	resonance	NOUN
aiti-5290	2	10	on	on	ADP
aiti-5290	2	11	3d	3d	NUM
aiti-5290	2	12	free	free	ADJ
aiti-5290	2	13	-	-	PUNCT
aiti-5290	2	14	free	free	ADJ
aiti-5290	2	15	double	double	ADJ
aiti-5290	2	16	-	-	PUNCT
aiti-5290	2	17	section	section	NOUN
aiti-5290	2	18	beam	beam	NOUN
aiti-5290	2	19	yi	yi	PROPN
aiti-5290	2	20	-	-	PUNCT
aiti-5290	2	21	ren	ren	PROPN
aiti-5290	2	22	wang	wang	PROPN
aiti-5290	2	23	*	*	PROPN
aiti-5290	2	24	,	,	PUNCT
aiti-5290	2	25	yun	yun	PROPN
aiti-5290	2	26	-	-	PUNCT
aiti-5290	2	27	shuo	shuo	PROPN
aiti-5290	2	28	chang	chang	PROPN
aiti-5290	2	29	department	department	PROPN
aiti-5290	2	30	of	of	ADP
aiti-5290	2	31	aerospace	aerospace	PROPN
aiti-5290	2	32	engineering	engineering	NOUN
aiti-5290	2	33	,	,	PUNCT
aiti-5290	2	34	tamkang	tamkang	PROPN
aiti-5290	2	35	university	university	NOUN
aiti-5290	2	36	,	,	PUNCT
aiti-5290	2	37	new	new	ADJ
aiti-5290	2	38	taipei	taipei	PROPN
aiti-5290	2	39	city	city	PROPN
aiti-5290	3	1	,	,	PUNCT
aiti-5290	3	2	taiwan	taiwan	PROPN
aiti-5290	3	3	received	receive	VERB
aiti-5290	3	4	17	17	NUM
aiti-5290	3	5	february	february	NOUN
aiti-5290	3	6	2020	2020	NUM
aiti-5290	3	7	;	;	PUNCT
aiti-5290	3	8	received	receive	VERB
aiti-5290	3	9	in	in	ADP
aiti-5290	3	10	revised	revise	VERB
aiti-5290	3	11	form	form	NOUN
aiti-5290	3	12	25	25	NUM
aiti-5290	3	13	april	april	PROPN
aiti-5290	3	14	2020	2020	NUM
aiti-5290	3	15	;	;	PUNCT
aiti-5290	3	16	accepted	accept	VERB
aiti-5290	3	17	23	23	NUM
aiti-5290	3	18	june	june	PROPN
aiti-5290	3	19	2020	2020	NUM
aiti-5290	3	20	doi	doi	NOUN
aiti-5290	3	21	:	:	PUNCT
aiti-5290	3	22	https://doi.org/10.46604/aiti.2020.5290	https://doi.org/10.46604/aiti.2020.5290	PROPN
aiti-5290	3	23	abstract	abstract	ADJ
aiti-5290	3	24	this	this	DET
aiti-5290	3	25	work	work	NOUN
aiti-5290	3	26	investigates	investigate	VERB
aiti-5290	3	27	the	the	DET
aiti-5290	3	28	primary	primary	ADJ
aiti-5290	3	29	resonance	resonance	NOUN
aiti-5290	3	30	and	and	CCONJ
aiti-5290	3	31	internal	internal	ADJ
aiti-5290	3	32	resonance	resonance	NOUN
aiti-5290	3	33	of	of	ADP
aiti-5290	3	34	a	a	DET
aiti-5290	3	35	double	double	ADJ
aiti-5290	3	36	-	-	PUNCT
aiti-5290	3	37	section	section	NOUN
aiti-5290	3	38	beam	beam	NOUN
aiti-5290	3	39	with	with	ADP
aiti-5290	3	40	cubic	cubic	ADJ
aiti-5290	3	41	nonlinearities	nonlinearitie	NOUN
aiti-5290	3	42	.	.	PUNCT
aiti-5290	4	1	this	this	DET
aiti-5290	4	2	model	model	NOUN
aiti-5290	4	3	can	can	AUX
aiti-5290	4	4	be	be	AUX
aiti-5290	4	5	applied	apply	VERB
aiti-5290	4	6	in	in	ADP
aiti-5290	4	7	a	a	DET
aiti-5290	4	8	wide	wide	ADJ
aiti-5290	4	9	range	range	NOUN
aiti-5290	4	10	of	of	ADP
aiti-5290	4	11	engineering	engineering	NOUN
aiti-5290	4	12	problems	problem	NOUN
aiti-5290	4	13	,	,	PUNCT
aiti-5290	4	14	such	such	ADJ
aiti-5290	4	15	as	as	ADP
aiti-5290	4	16	rocket	rocket	NOUN
aiti-5290	4	17	and	and	CCONJ
aiti-5290	4	18	missile	missile	NOUN
aiti-5290	4	19	structures	structure	NOUN
aiti-5290	4	20	.	.	PUNCT
aiti-5290	5	1	even	even	ADV
aiti-5290	5	2	space	space	NOUN
aiti-5290	5	3	technology	technology	NOUN
aiti-5290	5	4	has	have	AUX
aiti-5290	5	5	been	be	AUX
aiti-5290	5	6	developed	develop	VERB
aiti-5290	5	7	for	for	ADP
aiti-5290	5	8	decades	decade	NOUN
aiti-5290	5	9	;	;	PUNCT
aiti-5290	5	10	several	several	ADJ
aiti-5290	5	11	nonlinear	nonlinear	ADJ
aiti-5290	5	12	properties	property	NOUN
aiti-5290	5	13	deserve	deserve	VERB
aiti-5290	5	14	further	further	ADJ
aiti-5290	5	15	study	study	NOUN
aiti-5290	5	16	,	,	PUNCT
aiti-5290	5	17	especially	especially	ADV
aiti-5290	5	18	,	,	PUNCT
aiti-5290	5	19	for	for	ADP
aiti-5290	5	20	the	the	DET
aiti-5290	5	21	internal	internal	ADJ
aiti-5290	5	22	resonance	resonance	NOUN
aiti-5290	5	23	.	.	PUNCT
aiti-5290	6	1	the	the	DET
aiti-5290	6	2	method	method	NOUN
aiti-5290	6	3	of	of	ADP
aiti-5290	6	4	multiple	multiple	ADJ
aiti-5290	6	5	scales	scale	NOUN
aiti-5290	6	6	(	(	PUNCT
aiti-5290	6	7	a	a	DET
aiti-5290	6	8	perturbation	perturbation	NOUN
aiti-5290	6	9	technique	technique	NOUN
aiti-5290	6	10	)	)	PUNCT
aiti-5290	6	11	is	be	AUX
aiti-5290	6	12	employed	employ	VERB
aiti-5290	6	13	to	to	PART
aiti-5290	6	14	analyze	analyze	VERB
aiti-5290	6	15	this	this	DET
aiti-5290	6	16	nonlinear	nonlinear	ADJ
aiti-5290	6	17	problem	problem	NOUN
aiti-5290	6	18	.	.	PUNCT
aiti-5290	7	1	this	this	DET
aiti-5290	7	2	study	study	NOUN
aiti-5290	7	3	focuses	focus	VERB
aiti-5290	7	4	on	on	ADP
aiti-5290	7	5	finding	find	VERB
aiti-5290	7	6	the	the	DET
aiti-5290	7	7	forcing	force	VERB
aiti-5290	7	8	conditions	condition	NOUN
aiti-5290	7	9	of	of	ADP
aiti-5290	7	10	this	this	DET
aiti-5290	7	11	3d	3d	ADJ
aiti-5290	7	12	double	double	ADJ
aiti-5290	7	13	-	-	PUNCT
aiti-5290	7	14	section	section	NOUN
aiti-5290	7	15	beam	beam	NOUN
aiti-5290	7	16	to	to	PART
aiti-5290	7	17	trigger	trigger	VERB
aiti-5290	7	18	the	the	DET
aiti-5290	7	19	often	often	ADV
aiti-5290	7	20	-	-	PUNCT
aiti-5290	7	21	ignored	ignore	VERB
aiti-5290	7	22	internal	internal	ADJ
aiti-5290	7	23	resonance	resonance	NOUN
aiti-5290	7	24	or	or	CCONJ
aiti-5290	7	25	prime	prime	ADJ
aiti-5290	7	26	resonance	resonance	NOUN
aiti-5290	7	27	in	in	ADP
aiti-5290	7	28	rocket	rocket	NOUN
aiti-5290	7	29	structures	structure	NOUN
aiti-5290	7	30	.	.	PUNCT
aiti-5290	8	1	a	a	DET
aiti-5290	8	2	primary	primary	ADJ
aiti-5290	8	3	resonance	resonance	NOUN
aiti-5290	8	4	is	be	AUX
aiti-5290	8	5	found	find	VERB
aiti-5290	8	6	on	on	ADP
aiti-5290	8	7	a	a	DET
aiti-5290	8	8	uniform	uniform	ADJ
aiti-5290	8	9	free	free	ADV
aiti-5290	8	10	-	-	PUNCT
aiti-5290	8	11	free	free	ADJ
aiti-5290	8	12	beam	beam	NOUN
aiti-5290	8	13	at	at	ADP
aiti-5290	8	14	certain	certain	ADJ
aiti-5290	8	15	flight	flight	NOUN
aiti-5290	8	16	speed	speed	NOUN
aiti-5290	8	17	.	.	PUNCT
aiti-5290	9	1	the	the	DET
aiti-5290	9	2	three	three	NUM
aiti-5290	9	3	-	-	PUNCT
aiti-5290	9	4	to	to	ADP
aiti-5290	9	5	-	-	PUNCT
aiti-5290	9	6	one	one	NUM
aiti-5290	9	7	internal	internal	ADJ
aiti-5290	9	8	resonance	resonance	NOUN
aiti-5290	9	9	of	of	ADP
aiti-5290	9	10	the	the	DET
aiti-5290	9	11	double	double	ADJ
aiti-5290	9	12	-	-	PUNCT
aiti-5290	9	13	section	section	NOUN
aiti-5290	9	14	beam	beam	NOUN
aiti-5290	9	15	occurs	occur	VERB
aiti-5290	9	16	within	within	ADP
aiti-5290	9	17	the	the	DET
aiti-5290	9	18	first	first	ADJ
aiti-5290	9	19	and	and	CCONJ
aiti-5290	9	20	the	the	DET
aiti-5290	9	21	second	second	ADJ
aiti-5290	9	22	modes	mode	NOUN
aiti-5290	9	23	in	in	ADP
aiti-5290	9	24	the	the	DET
aiti-5290	9	25	diameter	diameter	NOUN
aiti-5290	9	26	ratio	ratio	NOUN
aiti-5290	9	27	of	of	ADP
aiti-5290	9	28	1/0.75	1/0.75	NUM
aiti-5290	9	29	with	with	ADP
aiti-5290	9	30	the	the	DET
aiti-5290	9	31	length	length	NOUN
aiti-5290	9	32	ratio	ratio	NOUN
aiti-5290	9	33	of	of	ADP
aiti-5290	9	34	0.33	0.33	NUM
aiti-5290	9	35	or	or	CCONJ
aiti-5290	9	36	0.51	0.51	NUM
aiti-5290	9	37	.	.	PUNCT
aiti-5290	10	1	the	the	DET
aiti-5290	10	2	semi	semi	ADJ
aiti-5290	10	3	-	-	ADJ
aiti-5290	10	4	analytical	analytical	ADJ
aiti-5290	10	5	results	result	NOUN
aiti-5290	10	6	are	be	AUX
aiti-5290	10	7	verified	verify	VERB
aiti-5290	10	8	by	by	ADP
aiti-5290	10	9	the	the	DET
aiti-5290	10	10	time	time	NOUN
aiti-5290	10	11	marching	march	VERB
aiti-5290	10	12	numerical	numerical	ADJ
aiti-5290	10	13	method	method	NOUN
aiti-5290	10	14	.	.	PUNCT
aiti-5290	11	1	keywords	keyword	NOUN
aiti-5290	11	2	:	:	PUNCT
aiti-5290	11	3	nonlinear	nonlinear	ADJ
aiti-5290	11	4	vibration	vibration	NOUN
aiti-5290	11	5	,	,	PUNCT
aiti-5290	11	6	internal	internal	ADJ
aiti-5290	11	7	resonance	resonance	NOUN
aiti-5290	11	8	,	,	PUNCT
aiti-5290	11	9	method	method	NOUN
aiti-5290	11	10	of	of	ADP
aiti-5290	11	11	multiple	multiple	ADJ
aiti-5290	11	12	scales	scale	NOUN
aiti-5290	11	13	1	1	NUM
aiti-5290	11	14	.	.	PUNCT
aiti-5290	12	1	introduction	introduction	NOUN
aiti-5290	12	2	studies	study	NOUN
aiti-5290	12	3	of	of	ADP
aiti-5290	12	4	vibration	vibration	NOUN
aiti-5290	12	5	have	have	AUX
aiti-5290	12	6	always	always	ADV
aiti-5290	12	7	been	be	AUX
aiti-5290	12	8	a	a	DET
aiti-5290	12	9	concern	concern	NOUN
aiti-5290	12	10	for	for	ADP
aiti-5290	12	11	researchers	researcher	NOUN
aiti-5290	12	12	and	and	CCONJ
aiti-5290	12	13	engineers	engineer	NOUN
aiti-5290	12	14	because	because	SCONJ
aiti-5290	12	15	it	it	PRON
aiti-5290	12	16	may	may	AUX
aiti-5290	12	17	cause	cause	VERB
aiti-5290	12	18	the	the	DET
aiti-5290	12	19	structural	structural	ADJ
aiti-5290	12	20	fatigue	fatigue	NOUN
aiti-5290	12	21	or	or	CCONJ
aiti-5290	12	22	failure	failure	NOUN
aiti-5290	12	23	.	.	PUNCT
aiti-5290	13	1	beams	beam	NOUN
aiti-5290	13	2	are	be	AUX
aiti-5290	13	3	widely	widely	ADV
aiti-5290	13	4	applied	apply	VERB
aiti-5290	13	5	in	in	ADP
aiti-5290	13	6	engineering	engineering	NOUN
aiti-5290	13	7	,	,	PUNCT
aiti-5290	13	8	such	such	ADJ
aiti-5290	13	9	as	as	ADP
aiti-5290	13	10	wings	wing	NOUN
aiti-5290	13	11	in	in	ADP
aiti-5290	13	12	aerospace	aerospace	NOUN
aiti-5290	13	13	,	,	PUNCT
aiti-5290	13	14	bridges	bridge	NOUN
aiti-5290	13	15	in	in	ADP
aiti-5290	13	16	civil	civil	ADJ
aiti-5290	13	17	engineering	engineering	NOUN
aiti-5290	13	18	,	,	PUNCT
aiti-5290	13	19	and	and	CCONJ
aiti-5290	13	20	train	train	NOUN
aiti-5290	13	21	rails	rail	NOUN
aiti-5290	13	22	in	in	ADP
aiti-5290	13	23	mechanical	mechanical	ADJ
aiti-5290	13	24	engineering	engineering	NOUN
aiti-5290	13	25	.	.	PUNCT
aiti-5290	14	1	many	many	ADJ
aiti-5290	14	2	studies	study	NOUN
aiti-5290	14	3	on	on	ADP
aiti-5290	14	4	beam	beam	NOUN
aiti-5290	14	5	vibrations	vibration	NOUN
aiti-5290	14	6	have	have	AUX
aiti-5290	14	7	been	be	AUX
aiti-5290	14	8	performed	perform	VERB
aiti-5290	14	9	previously	previously	ADV
aiti-5290	14	10	.	.	PUNCT
aiti-5290	15	1	özkaya	özkaya	PRON
aiti-5290	16	1	[	[	X
aiti-5290	16	2	1	1	X
aiti-5290	16	3	]	]	PUNCT
aiti-5290	16	4	researched	research	VERB
aiti-5290	16	5	on	on	ADP
aiti-5290	16	6	a	a	DET
aiti-5290	16	7	beam	beam	ADJ
aiti-5290	16	8	-	-	PUNCT
aiti-5290	16	9	mass	mass	NOUN
aiti-5290	16	10	system	system	NOUN
aiti-5290	16	11	under	under	ADP
aiti-5290	16	12	simply	simply	ADV
aiti-5290	16	13	supported	support	VERB
aiti-5290	16	14	end	end	NOUN
aiti-5290	16	15	conditions	condition	NOUN
aiti-5290	16	16	,	,	PUNCT
aiti-5290	16	17	and	and	CCONJ
aiti-5290	16	18	the	the	DET
aiti-5290	16	19	effect	effect	NOUN
aiti-5290	16	20	of	of	ADP
aiti-5290	16	21	positions	position	NOUN
aiti-5290	16	22	,	,	PUNCT
aiti-5290	16	23	magnitudes	magnitude	NOUN
aiti-5290	16	24	,	,	PUNCT
aiti-5290	16	25	and	and	CCONJ
aiti-5290	16	26	the	the	DET
aiti-5290	16	27	number	number	NOUN
aiti-5290	16	28	of	of	ADP
aiti-5290	16	29	the	the	DET
aiti-5290	16	30	masses	masse	NOUN
aiti-5290	16	31	was	be	AUX
aiti-5290	16	32	investigated	investigate	VERB
aiti-5290	16	33	.	.	PUNCT
aiti-5290	17	1	mundrey	mundrey	NOUN
aiti-5290	18	1	[	[	X
aiti-5290	18	2	2	2	X
aiti-5290	18	3	]	]	PUNCT
aiti-5290	18	4	considered	consider	VERB
aiti-5290	18	5	the	the	DET
aiti-5290	18	6	2d	2d	NUM
aiti-5290	18	7	bernoulli	bernoulli	PROPN
aiti-5290	18	8	-	-	PUNCT
aiti-5290	18	9	euler	euler	NOUN
aiti-5290	18	10	beam	beam	NOUN
aiti-5290	18	11	resting	rest	VERB
aiti-5290	18	12	on	on	ADP
aiti-5290	18	13	an	an	DET
aiti-5290	18	14	elastic	elastic	ADJ
aiti-5290	18	15	foundation	foundation	NOUN
aiti-5290	18	16	to	to	PART
aiti-5290	18	17	simulate	simulate	VERB
aiti-5290	18	18	the	the	DET
aiti-5290	18	19	railway	railway	NOUN
aiti-5290	18	20	track	track	NOUN
aiti-5290	18	21	and	and	CCONJ
aiti-5290	18	22	a	a	DET
aiti-5290	18	23	moving	move	VERB
aiti-5290	18	24	load	load	NOUN
aiti-5290	18	25	on	on	ADP
aiti-5290	18	26	the	the	DET
aiti-5290	18	27	2d	2d	NOUN
aiti-5290	18	28	beam	beam	NOUN
aiti-5290	18	29	was	be	AUX
aiti-5290	18	30	studied	study	VERB
aiti-5290	18	31	.	.	PUNCT
aiti-5290	19	1	phuoc	phuoc	NOUN
aiti-5290	19	2	nguyen	nguyen	PROPN
aiti-5290	19	3	et	et	PROPN
aiti-5290	19	4	al	al	PROPN
aiti-5290	19	5	.	.	PUNCT
aiti-5290	20	1	[	[	X
aiti-5290	20	2	3	3	X
aiti-5290	20	3	]	]	PUNCT
aiti-5290	20	4	considered	consider	VERB
aiti-5290	20	5	the	the	DET
aiti-5290	20	6	dynamic	dynamic	ADJ
aiti-5290	20	7	response	response	NOUN
aiti-5290	20	8	of	of	ADP
aiti-5290	20	9	the	the	DET
aiti-5290	20	10	euler	euler	PROPN
aiti-5290	20	11	-	-	PUNCT
aiti-5290	20	12	bernoulli	bernoulli	PROPN
aiti-5290	20	13	beam	beam	NOUN
aiti-5290	20	14	subjected	subject	VERB
aiti-5290	20	15	to	to	ADP
aiti-5290	20	16	moving	move	VERB
aiti-5290	20	17	oscillators	oscillator	NOUN
aiti-5290	20	18	.	.	PUNCT
aiti-5290	21	1	chang	chang	PROPN
aiti-5290	22	1	[	[	X
aiti-5290	22	2	4	4	X
aiti-5290	22	3	]	]	PUNCT
aiti-5290	22	4	used	use	VERB
aiti-5290	22	5	a	a	DET
aiti-5290	22	6	variational	variational	ADJ
aiti-5290	22	7	method	method	NOUN
aiti-5290	22	8	to	to	PART
aiti-5290	22	9	study	study	VERB
aiti-5290	22	10	nonlinear	nonlinear	ADJ
aiti-5290	22	11	vibrations	vibration	NOUN
aiti-5290	22	12	in	in	ADP
aiti-5290	22	13	carbon	carbon	NOUN
aiti-5290	22	14	nanobeams	nanobeam	NOUN
aiti-5290	22	15	under	under	ADP
aiti-5290	22	16	the	the	DET
aiti-5290	22	17	magnetic	magnetic	ADJ
aiti-5290	22	18	field	field	NOUN
aiti-5290	22	19	.	.	PUNCT
aiti-5290	23	1	zhang	zhang	PROPN
aiti-5290	23	2	et	et	PROPN
aiti-5290	23	3	al	al	PROPN
aiti-5290	23	4	.	.	PUNCT
aiti-5290	24	1	[	[	X
aiti-5290	24	2	5	5	NUM
aiti-5290	24	3	]	]	PUNCT
aiti-5290	24	4	provided	provide	VERB
aiti-5290	24	5	a	a	DET
aiti-5290	24	6	controllable	controllable	ADJ
aiti-5290	24	7	active	active	ADJ
aiti-5290	24	8	torque	torque	NOUN
aiti-5290	24	9	actuator	actuator	NOUN
aiti-5290	24	10	model	model	NOUN
aiti-5290	24	11	for	for	ADP
aiti-5290	24	12	wind	wind	NOUN
aiti-5290	24	13	-	-	PUNCT
aiti-5290	24	14	turbine	turbine	NOUN
aiti-5290	24	15	tower	tower	NOUN
aiti-5290	24	16	vibrations	vibration	NOUN
aiti-5290	24	17	and	and	CCONJ
aiti-5290	24	18	demonstrated	demonstrate	VERB
aiti-5290	24	19	that	that	SCONJ
aiti-5290	24	20	the	the	DET
aiti-5290	24	21	proposed	propose	VERB
aiti-5290	24	22	module	module	NOUN
aiti-5290	24	23	can	can	AUX
aiti-5290	24	24	effectively	effectively	ADV
aiti-5290	24	25	mitigate	mitigate	VERB
aiti-5290	24	26	the	the	DET
aiti-5290	24	27	vibrations	vibration	NOUN
aiti-5290	24	28	in	in	ADP
aiti-5290	24	29	wind	wind	NOUN
aiti-5290	24	30	turbines	turbine	NOUN
aiti-5290	24	31	during	during	ADP
aiti-5290	24	32	operation	operation	NOUN
aiti-5290	24	33	.	.	PUNCT
aiti-5290	25	1	these	these	DET
aiti-5290	25	2	studies	study	NOUN
aiti-5290	25	3	demonstrated	demonstrate	VERB
aiti-5290	25	4	a	a	DET
aiti-5290	25	5	wide	wide	ADJ
aiti-5290	25	6	application	application	NOUN
aiti-5290	25	7	of	of	ADP
aiti-5290	25	8	nonlinear	nonlinear	ADJ
aiti-5290	25	9	models	model	NOUN
aiti-5290	25	10	;	;	PUNCT
aiti-5290	25	11	yet	yet	CCONJ
aiti-5290	25	12	,	,	PUNCT
aiti-5290	25	13	a	a	DET
aiti-5290	25	14	3d	3d	NUM
aiti-5290	25	15	nonlinear	nonlinear	ADJ
aiti-5290	25	16	model	model	NOUN
aiti-5290	25	17	and	and	CCONJ
aiti-5290	25	18	some	some	DET
aiti-5290	25	19	unique	unique	ADJ
aiti-5290	25	20	nonlinear	nonlinear	ADJ
aiti-5290	25	21	properties	property	NOUN
aiti-5290	25	22	should	should	AUX
aiti-5290	25	23	be	be	AUX
aiti-5290	25	24	discussed	discuss	VERB
aiti-5290	25	25	further	far	ADV
aiti-5290	25	26	.	.	PUNCT
aiti-5290	26	1	in	in	ADP
aiti-5290	26	2	most	most	ADJ
aiti-5290	26	3	nonlinear	nonlinear	ADJ
aiti-5290	26	4	beam	beam	NOUN
aiti-5290	26	5	problems	problem	NOUN
aiti-5290	26	6	,	,	PUNCT
aiti-5290	26	7	an	an	DET
aiti-5290	26	8	internal	internal	ADJ
aiti-5290	26	9	resonance	resonance	NOUN
aiti-5290	26	10	is	be	AUX
aiti-5290	26	11	a	a	DET
aiti-5290	26	12	major	major	ADJ
aiti-5290	26	13	point	point	NOUN
aiti-5290	26	14	of	of	ADP
aiti-5290	26	15	discussion	discussion	NOUN
aiti-5290	26	16	.	.	PUNCT
aiti-5290	27	1	the	the	DET
aiti-5290	27	2	internal	internal	ADJ
aiti-5290	27	3	resonance	resonance	NOUN
aiti-5290	27	4	is	be	AUX
aiti-5290	27	5	unique	unique	ADJ
aiti-5290	27	6	to	to	ADP
aiti-5290	27	7	nonlinear	nonlinear	ADJ
aiti-5290	27	8	systems	system	NOUN
aiti-5290	27	9	in	in	ADP
aiti-5290	27	10	which	which	PRON
aiti-5290	27	11	integer	integer	NOUN
aiti-5290	27	12	relationships	relationship	NOUN
aiti-5290	27	13	exist	exist	VERB
aiti-5290	27	14	among	among	ADP
aiti-5290	27	15	the	the	DET
aiti-5290	27	16	natural	natural	ADJ
aiti-5290	27	17	frequencies	frequency	NOUN
aiti-5290	27	18	with	with	ADP
aiti-5290	27	19	various	various	ADJ
aiti-5290	27	20	modes	mode	NOUN
aiti-5290	27	21	.	.	PUNCT
aiti-5290	28	1	due	due	ADP
aiti-5290	28	2	to	to	ADP
aiti-5290	28	3	nonlinearity	nonlinearity	NOUN
aiti-5290	28	4	,	,	PUNCT
aiti-5290	28	5	the	the	DET
aiti-5290	28	6	internal	internal	ADJ
aiti-5290	28	7	resonance	resonance	NOUN
aiti-5290	28	8	generally	generally	ADV
aiti-5290	28	9	occurs	occur	VERB
aiti-5290	28	10	in	in	ADP
aiti-5290	28	11	modes	mode	NOUN
aiti-5290	28	12	that	that	PRON
aiti-5290	28	13	are	be	AUX
aiti-5290	28	14	not	not	PART
aiti-5290	28	15	being	be	AUX
aiti-5290	28	16	directly	directly	ADV
aiti-5290	28	17	excited	excite	VERB
aiti-5290	28	18	by	by	ADP
aiti-5290	28	19	external	external	ADJ
aiti-5290	28	20	forces	force	NOUN
aiti-5290	28	21	.	.	PUNCT
aiti-5290	29	1	exciting	exciting	ADJ
aiti-5290	29	2	the	the	DET
aiti-5290	29	3	higher	high	ADJ
aiti-5290	29	4	modes	mode	NOUN
aiti-5290	29	5	can	can	AUX
aiti-5290	29	6	lead	lead	VERB
aiti-5290	29	7	to	to	ADP
aiti-5290	29	8	high	high	ADJ
aiti-5290	29	9	amplitude	amplitude	NOUN
aiti-5290	29	10	vibrations	vibration	NOUN
aiti-5290	29	11	in	in	ADP
aiti-5290	29	12	lower	low	ADJ
aiti-5290	29	13	modes	mode	NOUN
aiti-5290	29	14	[	[	X
aiti-5290	29	15	6	6	NUM
aiti-5290	29	16	]	]	PUNCT
aiti-5290	29	17	.	.	PUNCT
aiti-5290	30	1	large	large	ADJ
aiti-5290	30	2	vibration	vibration	NOUN
aiti-5290	30	3	amplitude	amplitude	NOUN
aiti-5290	30	4	of	of	ADP
aiti-5290	30	5	the	the	DET
aiti-5290	30	6	unexcited	unexcited	ADJ
aiti-5290	30	7	mode	mode	NOUN
aiti-5290	30	8	of	of	ADP
aiti-5290	30	9	nonlinear	nonlinear	ADJ
aiti-5290	30	10	beams	beam	NOUN
aiti-5290	30	11	could	could	AUX
aiti-5290	30	12	be	be	AUX
aiti-5290	30	13	triggered	trigger	VERB
aiti-5290	30	14	due	due	ADJ
aiti-5290	30	15	to	to	ADP
aiti-5290	30	16	internal	internal	ADJ
aiti-5290	30	17	resonance	resonance	NOUN
aiti-5290	30	18	.	.	PUNCT
aiti-5290	31	1	therefore	therefore	ADV
aiti-5290	31	2	,	,	PUNCT
aiti-5290	31	3	the	the	DET
aiti-5290	31	4	lower	low	ADJ
aiti-5290	31	5	modes	mode	NOUN
aiti-5290	31	6	should	should	AUX
aiti-5290	31	7	not	not	PART
aiti-5290	31	8	be	be	AUX
aiti-5290	31	9	overlooked	overlook	VERB
aiti-5290	31	10	.	.	PUNCT
aiti-5290	32	1	however	however	ADV
aiti-5290	32	2	,	,	PUNCT
aiti-5290	32	3	it	it	PRON
aiti-5290	32	4	is	be	AUX
aiti-5290	32	5	interesting	interesting	ADJ
aiti-5290	32	6	that	that	SCONJ
aiti-5290	32	7	in	in	ADP
aiti-5290	32	8	common	common	ADJ
aiti-5290	32	9	3d	3d	NOUN
aiti-5290	32	10	beams	beam	NOUN
aiti-5290	32	11	with	with	ADP
aiti-5290	32	12	symmetrical	symmetrical	ADJ
aiti-5290	32	13	cross	cross	NOUN
aiti-5290	32	14	sections	section	NOUN
aiti-5290	32	15	;	;	PUNCT
aiti-5290	32	16	one	one	NUM
aiti-5290	32	17	-	-	PUNCT
aiti-5290	32	18	to	to	ADP
aiti-5290	32	19	-	-	PUNCT
aiti-5290	32	20	one	one	NUM
aiti-5290	32	21	internal	internal	ADJ
aiti-5290	32	22	resonance	resonance	NOUN
aiti-5290	32	23	is	be	AUX
aiti-5290	32	24	the	the	DET
aiti-5290	32	25	most	most	ADV
aiti-5290	32	26	likely	likely	ADJ
aiti-5290	32	27	to	to	PART
aiti-5290	32	28	take	take	VERB
aiti-5290	32	29	*	*	PUNCT
aiti-5290	32	30	corresponding	correspond	VERB
aiti-5290	32	31	author	author	NOUN
aiti-5290	32	32	.	.	PUNCT
aiti-5290	33	1	e	e	X
aiti-5290	33	2	-	-	NOUN
aiti-5290	33	3	mail	mail	NOUN
aiti-5290	33	4	address	address	NOUN
aiti-5290	33	5	:	:	PUNCT
aiti-5290	33	6	090730@mail.tku.edu.tw	090730@mail.tku.edu.tw	NUM
aiti-5290	34	1	tel	tel	PROPN
aiti-5290	34	2	.	.	PUNCT
aiti-5290	34	3	:	:	PUNCT
aiti-5290	35	1	+886	+886	NUM
aiti-5290	35	2	-	-	SYM
aiti-5290	35	3	2	2	NUM
aiti-5290	35	4	-	-	PUNCT
aiti-5290	35	5	26215656	26215656	NUM
aiti-5290	35	6	;	;	PUNCT
aiti-5290	35	7	fax	fax	NOUN
aiti-5290	35	8	:	:	PUNCT
aiti-5290	35	9	+886	+886	NUM
aiti-5290	35	10	-	-	PUNCT
aiti-5290	35	11	2	2	NUM
aiti-5290	35	12	-	-	PUNCT
aiti-5290	35	13	26209746	26209746	NUM
aiti-5290	35	14	advances	advance	NOUN
aiti-5290	35	15	in	in	ADP
aiti-5290	35	16	technology	technology	NOUN
aiti-5290	35	17	innovation	innovation	NOUN
aiti-5290	35	18	,	,	PUNCT
aiti-5290	35	19	vol	vol	NOUN
aiti-5290	35	20	.	.	PROPN
aiti-5290	36	1	5	5	NUM
aiti-5290	36	2	,	,	PUNCT
aiti-5290	36	3	no	no	INTJ
aiti-5290	36	4	.	.	NOUN
aiti-5290	36	5	4	4	NUM
aiti-5290	36	6	,	,	PUNCT
aiti-5290	36	7	2020	2020	NUM
aiti-5290	36	8	,	,	PUNCT
aiti-5290	36	9	pp	pp	ADV
aiti-5290	36	10	.	.	PUNCT
aiti-5290	37	1	270	270	NUM
aiti-5290	37	2	-	-	SYM
aiti-5290	37	3	291	291	NUM
aiti-5290	37	4	271	271	NUM
aiti-5290	37	5	place	place	NOUN
aiti-5290	37	6	among	among	ADP
aiti-5290	37	7	the	the	DET
aiti-5290	37	8	various	various	ADJ
aiti-5290	37	9	degrees	degree	NOUN
aiti-5290	37	10	of	of	ADP
aiti-5290	37	11	freedom	freedom	NOUN
aiti-5290	37	12	.	.	PUNCT
aiti-5290	38	1	as	as	SCONJ
aiti-5290	38	2	its	its	PRON
aiti-5290	38	3	resonant	resonant	ADJ
aiti-5290	38	4	frequency	frequency	NOUN
aiti-5290	38	5	is	be	AUX
aiti-5290	38	6	the	the	DET
aiti-5290	38	7	same	same	ADJ
aiti-5290	38	8	as	as	ADP
aiti-5290	38	9	each	each	DET
aiti-5290	38	10	other	other	ADJ
aiti-5290	38	11	,	,	PUNCT
aiti-5290	38	12	it	it	PRON
aiti-5290	38	13	is	be	AUX
aiti-5290	38	14	also	also	ADV
aiti-5290	38	15	called	call	VERB
aiti-5290	38	16	primary	primary	ADJ
aiti-5290	38	17	resonance	resonance	NOUN
aiti-5290	38	18	.	.	PUNCT
aiti-5290	39	1	for	for	ADP
aiti-5290	39	2	instance	instance	NOUN
aiti-5290	39	3	,	,	PUNCT
aiti-5290	39	4	pai	pai	PROPN
aiti-5290	40	1	[	[	X
aiti-5290	40	2	7	7	X
aiti-5290	40	3	]	]	PUNCT
aiti-5290	40	4	analyzed	analyze	VERB
aiti-5290	40	5	the	the	DET
aiti-5290	40	6	primary	primary	ADJ
aiti-5290	40	7	resonance	resonance	NOUN
aiti-5290	40	8	in	in	ADP
aiti-5290	40	9	a	a	DET
aiti-5290	40	10	3d	3d	NUM
aiti-5290	40	11	nonlinear	nonlinear	ADJ
aiti-5290	40	12	composite	composite	ADJ
aiti-5290	40	13	rotating	rotating	NOUN
aiti-5290	40	14	beam	beam	NOUN
aiti-5290	40	15	.	.	PUNCT
aiti-5290	41	1	stoykov	stoykov	PROPN
aiti-5290	41	2	and	and	CCONJ
aiti-5290	41	3	ribeiro	ribeiro	PROPN
aiti-5290	41	4	[	[	X
aiti-5290	41	5	8	8	NUM
aiti-5290	41	6	]	]	PUNCT
aiti-5290	41	7	examined	examine	VERB
aiti-5290	41	8	the	the	DET
aiti-5290	41	9	stability	stability	NOUN
aiti-5290	41	10	of	of	ADP
aiti-5290	41	11	a	a	DET
aiti-5290	41	12	3d	3d	NUM
aiti-5290	41	13	nonlinear	nonlinear	ADJ
aiti-5290	41	14	rotating	rotate	VERB
aiti-5290	41	15	beam	beam	NOUN
aiti-5290	41	16	based	base	VERB
aiti-5290	41	17	on	on	ADP
aiti-5290	41	18	timoshenko	timoshenko	NOUN
aiti-5290	41	19	’s	’s	PART
aiti-5290	41	20	theory	theory	NOUN
aiti-5290	41	21	and	and	CCONJ
aiti-5290	41	22	took	take	VERB
aiti-5290	41	23	into	into	ADP
aiti-5290	41	24	account	account	NOUN
aiti-5290	41	25	the	the	DET
aiti-5290	41	26	deformation	deformation	NOUN
aiti-5290	41	27	caused	cause	VERB
aiti-5290	41	28	by	by	ADP
aiti-5290	41	29	twists	twist	NOUN
aiti-5290	41	30	and	and	CCONJ
aiti-5290	41	31	warps	warps	NOUN
aiti-5290	41	32	.	.	PUNCT
aiti-5290	42	1	research	research	NOUN
aiti-5290	42	2	has	have	AUX
aiti-5290	42	3	also	also	ADV
aiti-5290	42	4	been	be	AUX
aiti-5290	42	5	conducted	conduct	VERB
aiti-5290	42	6	on	on	ADP
aiti-5290	42	7	the	the	DET
aiti-5290	42	8	internal	internal	ADJ
aiti-5290	42	9	resonance	resonance	NOUN
aiti-5290	42	10	of	of	ADP
aiti-5290	42	11	beams	beam	NOUN
aiti-5290	42	12	caused	cause	VERB
aiti-5290	42	13	by	by	ADP
aiti-5290	42	14	external	external	ADJ
aiti-5290	42	15	forces	force	NOUN
aiti-5290	42	16	or	or	CCONJ
aiti-5290	42	17	additional	additional	ADJ
aiti-5290	42	18	structures	structure	NOUN
aiti-5290	42	19	,	,	PUNCT
aiti-5290	42	20	such	such	ADJ
aiti-5290	42	21	as	as	ADP
aiti-5290	42	22	those	those	PRON
aiti-5290	42	23	associated	associate	VERB
aiti-5290	42	24	with	with	ADP
aiti-5290	42	25	the	the	DET
aiti-5290	42	26	suspension	suspension	NOUN
aiti-5290	42	27	or	or	CCONJ
aiti-5290	42	28	support	support	NOUN
aiti-5290	42	29	.	.	PUNCT
aiti-5290	43	1	for	for	ADP
aiti-5290	43	2	instance	instance	NOUN
aiti-5290	43	3	,	,	PUNCT
aiti-5290	43	4	van	van	PROPN
aiti-5290	43	5	horssen	horssen	PROPN
aiti-5290	43	6	et	et	PROPN
aiti-5290	43	7	al	al	PROPN
aiti-5290	43	8	.	.	PUNCT
aiti-5290	44	1	[	[	X
aiti-5290	44	2	9	9	NUM
aiti-5290	44	3	-	-	SYM
aiti-5290	44	4	10	10	NUM
aiti-5290	44	5	]	]	PUNCT
aiti-5290	44	6	considered	consider	VERB
aiti-5290	44	7	the	the	DET
aiti-5290	44	8	use	use	NOUN
aiti-5290	44	9	of	of	ADP
aiti-5290	44	10	nonlinear	nonlinear	ADJ
aiti-5290	44	11	aerodynamics	aerodynamic	NOUN
aiti-5290	44	12	to	to	PART
aiti-5290	44	13	create	create	VERB
aiti-5290	44	14	three	three	NUM
aiti-5290	44	15	-	-	PUNCT
aiti-5290	44	16	to	to	ADP
aiti-5290	44	17	-	-	PUNCT
aiti-5290	44	18	one	one	NUM
aiti-5290	44	19	internal	internal	ADJ
aiti-5290	44	20	resonance	resonance	NOUN
aiti-5290	44	21	in	in	ADP
aiti-5290	44	22	systems	system	NOUN
aiti-5290	44	23	with	with	ADP
aiti-5290	44	24	elastic	elastic	ADJ
aiti-5290	44	25	foundations	foundation	NOUN
aiti-5290	44	26	or	or	CCONJ
aiti-5290	44	27	suspension	suspension	NOUN
aiti-5290	44	28	springs	spring	NOUN
aiti-5290	44	29	.	.	PUNCT
aiti-5290	45	1	wang	wang	PROPN
aiti-5290	45	2	et	et	PROPN
aiti-5290	45	3	al	al	PROPN
aiti-5290	45	4	.	.	PUNCT
aiti-5290	46	1	[	[	X
aiti-5290	46	2	11	11	NUM
aiti-5290	46	3	]	]	PUNCT
aiti-5290	46	4	analyzed	analyze	VERB
aiti-5290	46	5	a	a	DET
aiti-5290	46	6	hinged	hinge	VERB
aiti-5290	46	7	-	-	PUNCT
aiti-5290	46	8	hinged	hinge	VERB
aiti-5290	46	9	nonlinear	nonlinear	ADJ
aiti-5290	46	10	bernoulli	bernoulli	PROPN
aiti-5290	46	11	-	-	PUNCT
aiti-5290	46	12	euler	euler	NOUN
aiti-5290	46	13	beam	beam	NOUN
aiti-5290	46	14	with	with	ADP
aiti-5290	46	15	linear	linear	ADJ
aiti-5290	46	16	and	and	CCONJ
aiti-5290	46	17	nonlinear	nonlinear	ADJ
aiti-5290	46	18	tuned	tune	VERB
aiti-5290	46	19	dampers	damper	NOUN
aiti-5290	46	20	.	.	PUNCT
aiti-5290	47	1	the	the	DET
aiti-5290	47	2	internal	internal	ADJ
aiti-5290	47	3	resonance	resonance	NOUN
aiti-5290	47	4	was	be	AUX
aiti-5290	47	5	investigated	investigate	VERB
aiti-5290	47	6	for	for	ADP
aiti-5290	47	7	the	the	DET
aiti-5290	47	8	system	system	NOUN
aiti-5290	47	9	.	.	PUNCT
aiti-5290	48	1	the	the	DET
aiti-5290	48	2	nonlinear	nonlinear	ADJ
aiti-5290	48	3	properties	property	NOUN
aiti-5290	48	4	of	of	ADP
aiti-5290	48	5	the	the	DET
aiti-5290	48	6	nonlinear	nonlinear	ADJ
aiti-5290	48	7	beam	beam	NOUN
aiti-5290	48	8	and	and	CCONJ
aiti-5290	48	9	the	the	DET
aiti-5290	48	10	nonlinear	nonlinear	ADJ
aiti-5290	48	11	damper	damper	NOUN
aiti-5290	48	12	were	be	AUX
aiti-5290	48	13	studied	study	VERB
aiti-5290	48	14	in	in	ADP
aiti-5290	48	15	-	-	PUNCT
aiti-5290	48	16	depth	depth	NOUN
aiti-5290	48	17	.	.	PUNCT
aiti-5290	49	1	wang	wang	PROPN
aiti-5290	49	2	and	and	CCONJ
aiti-5290	49	3	hsiao	hsiao	PROPN
aiti-5290	49	4	[	[	X
aiti-5290	49	5	12	12	NUM
aiti-5290	49	6	]	]	PUNCT
aiti-5290	49	7	studied	study	VERB
aiti-5290	49	8	the	the	DET
aiti-5290	49	9	3d	3d	PROPN
aiti-5290	49	10	nonlinear	nonlinear	ADJ
aiti-5290	49	11	multi	multi	ADJ
aiti-5290	49	12	-	-	ADJ
aiti-5290	49	13	loaded	loaded	ADJ
aiti-5290	49	14	slender	slender	ADJ
aiti-5290	49	15	beam	beam	NOUN
aiti-5290	49	16	.	.	PUNCT
aiti-5290	50	1	the	the	DET
aiti-5290	50	2	nonlinear	nonlinear	ADJ
aiti-5290	50	3	primary	primary	ADJ
aiti-5290	50	4	resonance	resonance	NOUN
aiti-5290	50	5	was	be	AUX
aiti-5290	50	6	first	first	ADV
aiti-5290	50	7	found	find	VERB
aiti-5290	50	8	in	in	ADP
aiti-5290	50	9	the	the	DET
aiti-5290	50	10	wind	wind	NOUN
aiti-5290	50	11	turbine	turbine	NOUN
aiti-5290	50	12	tower	tower	NOUN
aiti-5290	50	13	.	.	PUNCT
aiti-5290	51	1	tekin	tekin	PROPN
aiti-5290	51	2	et	et	PROPN
aiti-5290	51	3	al	al	PROPN
aiti-5290	51	4	.	.	PUNCT
aiti-5290	52	1	[	[	X
aiti-5290	52	2	13	13	NUM
aiti-5290	52	3	]	]	PUNCT
aiti-5290	52	4	considered	consider	VERB
aiti-5290	52	5	the	the	DET
aiti-5290	52	6	three	three	NUM
aiti-5290	52	7	-	-	PUNCT
aiti-5290	52	8	to	to	ADP
aiti-5290	52	9	-	-	PUNCT
aiti-5290	52	10	one	one	NUM
aiti-5290	52	11	internal	internal	ADJ
aiti-5290	52	12	resonance	resonance	NOUN
aiti-5290	52	13	in	in	ADP
aiti-5290	52	14	the	the	DET
aiti-5290	52	15	multiple	multiple	ADJ
aiti-5290	52	16	stepped	step	VERB
aiti-5290	52	17	beam	beam	NOUN
aiti-5290	52	18	systems	system	NOUN
aiti-5290	52	19	.	.	PUNCT
aiti-5290	53	1	these	these	DET
aiti-5290	53	2	previous	previous	ADJ
aiti-5290	53	3	researches	research	NOUN
aiti-5290	53	4	investigated	investigate	VERB
aiti-5290	53	5	the	the	DET
aiti-5290	53	6	nonlinear	nonlinear	ADJ
aiti-5290	53	7	properties	property	NOUN
aiti-5290	53	8	of	of	ADP
aiti-5290	53	9	internal	internal	ADJ
aiti-5290	53	10	resonance	resonance	NOUN
aiti-5290	53	11	and	and	CCONJ
aiti-5290	53	12	primary	primary	ADJ
aiti-5290	53	13	resonance	resonance	NOUN
aiti-5290	53	14	.	.	PUNCT
aiti-5290	54	1	however	however	ADV
aiti-5290	54	2	,	,	PUNCT
aiti-5290	54	3	the	the	DET
aiti-5290	54	4	internal	internal	ADJ
aiti-5290	54	5	and	and	CCONJ
aiti-5290	54	6	primary	primary	ADJ
aiti-5290	54	7	resonance	resonance	NOUN
aiti-5290	54	8	conditions	condition	NOUN
aiti-5290	54	9	might	might	AUX
aiti-5290	54	10	happen	happen	VERB
aiti-5290	54	11	simultaneously	simultaneously	ADV
aiti-5290	54	12	for	for	ADP
aiti-5290	54	13	a	a	DET
aiti-5290	54	14	3d	3d	NUM
aiti-5290	54	15	beam	beam	NOUN
aiti-5290	54	16	.	.	PUNCT
aiti-5290	55	1	they	they	PRON
aiti-5290	55	2	should	should	AUX
aiti-5290	55	3	be	be	AUX
aiti-5290	55	4	taken	take	VERB
aiti-5290	55	5	into	into	ADP
aiti-5290	55	6	consideration	consideration	NOUN
aiti-5290	55	7	at	at	ADP
aiti-5290	55	8	the	the	DET
aiti-5290	55	9	same	same	ADJ
aiti-5290	55	10	time	time	NOUN
aiti-5290	55	11	.	.	PUNCT
aiti-5290	56	1	in	in	ADP
aiti-5290	56	2	addressing	address	VERB
aiti-5290	56	3	general	general	ADJ
aiti-5290	56	4	analytical	analytical	ADJ
aiti-5290	56	5	methods	method	NOUN
aiti-5290	56	6	to	to	ADP
aiti-5290	56	7	nonlinear	nonlinear	ADJ
aiti-5290	56	8	vibrations	vibration	NOUN
aiti-5290	56	9	,	,	PUNCT
aiti-5290	56	10	nayfeh	nayfeh	NOUN
aiti-5290	56	11	and	and	CCONJ
aiti-5290	56	12	pai	pai	PROPN
aiti-5290	56	13	[	[	X
aiti-5290	56	14	14	14	NUM
aiti-5290	56	15	]	]	PUNCT
aiti-5290	56	16	investigated	investigate	VERB
aiti-5290	56	17	vibrations	vibration	NOUN
aiti-5290	56	18	in	in	ADP
aiti-5290	56	19	nonlinear	nonlinear	PROPN
aiti-5290	56	20	euler	euler	NOUN
aiti-5290	56	21	-	-	PUNCT
aiti-5290	56	22	bernoulli	bernoulli	NOUN
aiti-5290	56	23	beams	beam	NOUN
aiti-5290	56	24	.	.	PUNCT
aiti-5290	57	1	they	they	PRON
aiti-5290	57	2	formulated	formulate	VERB
aiti-5290	57	3	a	a	DET
aiti-5290	57	4	number	number	NOUN
aiti-5290	57	5	of	of	ADP
aiti-5290	57	6	useful	useful	ADJ
aiti-5290	57	7	nonlinear	nonlinear	ADJ
aiti-5290	57	8	beams	beam	NOUN
aiti-5290	57	9	equations	equation	NOUN
aiti-5290	57	10	in	in	ADP
aiti-5290	57	11	accordance	accordance	NOUN
aiti-5290	57	12	with	with	ADP
aiti-5290	57	13	newton	newton	PROPN
aiti-5290	57	14	's	's	PART
aiti-5290	57	15	laws	law	NOUN
aiti-5290	57	16	,	,	PUNCT
aiti-5290	57	17	euler	euler	NOUN
aiti-5290	57	18	angles	angles	NOUN
aiti-5290	57	19	transformation	transformation	NOUN
aiti-5290	57	20	,	,	PUNCT
aiti-5290	57	21	and	and	CCONJ
aiti-5290	57	22	the	the	DET
aiti-5290	57	23	karman	karman	PROPN
aiti-5290	57	24	-	-	PUNCT
aiti-5290	57	25	type	type	NOUN
aiti-5290	57	26	strain	strain	NOUN
aiti-5290	57	27	-	-	PUNCT
aiti-5290	57	28	displacement	displacement	NOUN
aiti-5290	57	29	relationship	relationship	NOUN
aiti-5290	57	30	.	.	PUNCT
aiti-5290	58	1	nayfeh	nayfeh	PROPN
aiti-5290	58	2	and	and	CCONJ
aiti-5290	58	3	mook	mook	NOUN
aiti-5290	59	1	[	[	X
aiti-5290	59	2	6	6	NUM
aiti-5290	59	3	]	]	PUNCT
aiti-5290	59	4	also	also	ADV
aiti-5290	59	5	proposed	propose	VERB
aiti-5290	59	6	a	a	DET
aiti-5290	59	7	number	number	NOUN
aiti-5290	59	8	of	of	ADP
aiti-5290	59	9	perturbation	perturbation	NOUN
aiti-5290	59	10	methods	method	NOUN
aiti-5290	59	11	by	by	ADP
aiti-5290	59	12	which	which	PRON
aiti-5290	59	13	to	to	PART
aiti-5290	59	14	solve	solve	VERB
aiti-5290	59	15	nonlinear	nonlinear	ADJ
aiti-5290	59	16	systems	system	NOUN
aiti-5290	59	17	,	,	PUNCT
aiti-5290	59	18	including	include	VERB
aiti-5290	59	19	the	the	DET
aiti-5290	59	20	lindstedt	lindstedt	VERB
aiti-5290	59	21	-	-	PUNCT
aiti-5290	59	22	poincaré	poincaré	PROPN
aiti-5290	59	23	method	method	NOUN
aiti-5290	59	24	,	,	PUNCT
aiti-5290	59	25	the	the	DET
aiti-5290	59	26	method	method	NOUN
aiti-5290	59	27	of	of	ADP
aiti-5290	59	28	averaging	averaging	NOUN
aiti-5290	59	29	,	,	PUNCT
aiti-5290	59	30	and	and	CCONJ
aiti-5290	59	31	the	the	DET
aiti-5290	59	32	method	method	NOUN
aiti-5290	59	33	of	of	ADP
aiti-5290	59	34	multiple	multiple	ADJ
aiti-5290	59	35	scales	scale	NOUN
aiti-5290	59	36	(	(	PUNCT
aiti-5290	59	37	moms	mom	NOUN
aiti-5290	59	38	)	)	PUNCT
aiti-5290	59	39	.	.	PUNCT
aiti-5290	60	1	perturbation	perturbation	NOUN
aiti-5290	60	2	methods	method	NOUN
aiti-5290	60	3	allow	allow	VERB
aiti-5290	60	4	the	the	DET
aiti-5290	60	5	researchers	researcher	NOUN
aiti-5290	60	6	to	to	PART
aiti-5290	60	7	get	get	VERB
aiti-5290	60	8	good	good	ADJ
aiti-5290	60	9	approximations	approximation	NOUN
aiti-5290	60	10	for	for	ADP
aiti-5290	60	11	systems	system	NOUN
aiti-5290	60	12	that	that	PRON
aiti-5290	60	13	the	the	DET
aiti-5290	60	14	exact	exact	ADJ
aiti-5290	60	15	solutions	solution	NOUN
aiti-5290	60	16	are	be	AUX
aiti-5290	60	17	not	not	PART
aiti-5290	60	18	all	all	ADV
aiti-5290	60	19	easy	easy	ADJ
aiti-5290	60	20	to	to	PART
aiti-5290	60	21	be	be	AUX
aiti-5290	60	22	solved	solve	VERB
aiti-5290	60	23	.	.	PUNCT
aiti-5290	61	1	ji	ji	PROPN
aiti-5290	61	2	and	and	CCONJ
aiti-5290	61	3	zu	zu	NOUN
aiti-5290	62	1	[	[	X
aiti-5290	62	2	15	15	NUM
aiti-5290	62	3	]	]	PUNCT
aiti-5290	62	4	studied	study	VERB
aiti-5290	62	5	the	the	DET
aiti-5290	62	6	rotating	rotate	VERB
aiti-5290	62	7	shaft	shaft	NOUN
aiti-5290	62	8	system	system	NOUN
aiti-5290	62	9	of	of	ADP
aiti-5290	62	10	a	a	DET
aiti-5290	62	11	timoshenko	timoshenko	ADJ
aiti-5290	62	12	beam	beam	NOUN
aiti-5290	62	13	,	,	PUNCT
aiti-5290	62	14	using	use	VERB
aiti-5290	62	15	moms	mom	NOUN
aiti-5290	62	16	to	to	PART
aiti-5290	62	17	analyze	analyze	VERB
aiti-5290	62	18	the	the	DET
aiti-5290	62	19	natural	natural	ADJ
aiti-5290	62	20	frequency	frequency	NOUN
aiti-5290	62	21	responses	response	NOUN
aiti-5290	62	22	of	of	ADP
aiti-5290	62	23	nonlinear	nonlinear	ADJ
aiti-5290	62	24	systems	system	NOUN
aiti-5290	62	25	.	.	PUNCT
aiti-5290	63	1	nayfeh	nayfeh	PROPN
aiti-5290	63	2	and	and	CCONJ
aiti-5290	63	3	nayfeh	nayfeh	ADJ
aiti-5290	64	1	[	[	X
aiti-5290	64	2	16	16	NUM
aiti-5290	64	3	]	]	PUNCT
aiti-5290	64	4	employed	employ	VERB
aiti-5290	64	5	moms	mom	NOUN
aiti-5290	64	6	to	to	PART
aiti-5290	64	7	identify	identify	VERB
aiti-5290	64	8	nonlinear	nonlinear	ADJ
aiti-5290	64	9	modes	mode	NOUN
aiti-5290	64	10	and	and	CCONJ
aiti-5290	64	11	nonlinear	nonlinear	ADJ
aiti-5290	64	12	frequencies	frequency	NOUN
aiti-5290	64	13	,	,	PUNCT
aiti-5290	64	14	whereupon	whereupon	ADV
aiti-5290	64	15	they	they	PRON
aiti-5290	64	16	applied	apply	VERB
aiti-5290	64	17	the	the	DET
aiti-5290	64	18	galerkin	galerkin	ADJ
aiti-5290	64	19	method	method	NOUN
aiti-5290	64	20	to	to	ADP
aiti-5290	64	21	the	the	DET
aiti-5290	64	22	analysis	analysis	NOUN
aiti-5290	64	23	of	of	ADP
aiti-5290	64	24	dynamic	dynamic	ADJ
aiti-5290	64	25	responses	response	NOUN
aiti-5290	64	26	in	in	ADP
aiti-5290	64	27	a	a	DET
aiti-5290	64	28	nonlinear	nonlinear	ADJ
aiti-5290	64	29	beam	beam	NOUN
aiti-5290	64	30	.	.	PUNCT
aiti-5290	65	1	mao	mao	PROPN
aiti-5290	66	1	[	[	X
aiti-5290	66	2	17	17	NUM
aiti-5290	66	3	]	]	PUNCT
aiti-5290	66	4	used	use	VERB
aiti-5290	66	5	the	the	DET
aiti-5290	66	6	adm	adm	PROPN
aiti-5290	66	7	method	method	NOUN
aiti-5290	66	8	to	to	PART
aiti-5290	66	9	analyze	analyze	VERB
aiti-5290	66	10	the	the	DET
aiti-5290	66	11	vibration	vibration	NOUN
aiti-5290	66	12	of	of	ADP
aiti-5290	66	13	beams	beam	NOUN
aiti-5290	66	14	consisting	consist	VERB
aiti-5290	66	15	of	of	ADP
aiti-5290	66	16	an	an	DET
aiti-5290	66	17	arbitrary	arbitrary	ADJ
aiti-5290	66	18	number	number	NOUN
aiti-5290	66	19	of	of	ADP
aiti-5290	66	20	steps	step	NOUN
aiti-5290	66	21	through	through	ADP
aiti-5290	66	22	a	a	DET
aiti-5290	66	23	recursive	recursive	ADJ
aiti-5290	66	24	method	method	NOUN
aiti-5290	66	25	.	.	PUNCT
aiti-5290	67	1	he	he	PRON
aiti-5290	67	2	showed	show	VERB
aiti-5290	67	3	that	that	SCONJ
aiti-5290	67	4	the	the	DET
aiti-5290	67	5	adm	adm	PROPN
aiti-5290	67	6	offers	offer	VERB
aiti-5290	67	7	an	an	DET
aiti-5290	67	8	accurate	accurate	ADJ
aiti-5290	67	9	and	and	CCONJ
aiti-5290	67	10	effective	effective	ADJ
aiti-5290	67	11	method	method	NOUN
aiti-5290	67	12	of	of	ADP
aiti-5290	67	13	free	free	ADJ
aiti-5290	67	14	vibration	vibration	NOUN
aiti-5290	67	15	analysis	analysis	NOUN
aiti-5290	67	16	of	of	ADP
aiti-5290	67	17	multiple	multiple	ADJ
aiti-5290	67	18	-	-	PUNCT
aiti-5290	67	19	stepped	step	VERB
aiti-5290	67	20	beams	beam	NOUN
aiti-5290	67	21	with	with	ADP
aiti-5290	67	22	arbitrary	arbitrary	ADJ
aiti-5290	67	23	boundary	boundary	ADJ
aiti-5290	67	24	conditions	condition	NOUN
aiti-5290	67	25	.	.	PUNCT
aiti-5290	68	1	the	the	DET
aiti-5290	68	2	3d	3d	NUM
aiti-5290	68	3	free	free	ADJ
aiti-5290	68	4	-	-	PUNCT
aiti-5290	68	5	free	free	ADJ
aiti-5290	68	6	beam	beam	NOUN
aiti-5290	68	7	model	model	NOUN
aiti-5290	68	8	can	can	AUX
aiti-5290	68	9	be	be	AUX
aiti-5290	68	10	used	use	VERB
aiti-5290	68	11	to	to	PART
aiti-5290	68	12	simulate	simulate	VERB
aiti-5290	68	13	space	space	NOUN
aiti-5290	68	14	rocket	rocket	NOUN
aiti-5290	68	15	vibration	vibration	NOUN
aiti-5290	68	16	in	in	ADP
aiti-5290	68	17	high	high	ADJ
aiti-5290	68	18	-	-	PUNCT
aiti-5290	68	19	speed	speed	NOUN
aiti-5290	68	20	motion	motion	NOUN
aiti-5290	68	21	.	.	PUNCT
aiti-5290	69	1	the	the	DET
aiti-5290	69	2	double	double	ADJ
aiti-5290	69	3	-	-	PUNCT
aiti-5290	69	4	section	section	NOUN
aiti-5290	69	5	3d	3d	PROPN
aiti-5290	69	6	beam	beam	NOUN
aiti-5290	69	7	model	model	NOUN
aiti-5290	69	8	can	can	AUX
aiti-5290	69	9	also	also	ADV
aiti-5290	69	10	be	be	AUX
aiti-5290	69	11	utilized	utilize	VERB
aiti-5290	69	12	to	to	PART
aiti-5290	69	13	model	model	VERB
aiti-5290	69	14	a	a	DET
aiti-5290	69	15	high	high	ADJ
aiti-5290	69	16	-	-	PUNCT
aiti-5290	69	17	speed	speed	NOUN
aiti-5290	69	18	double	double	ADJ
aiti-5290	69	19	-	-	PUNCT
aiti-5290	69	20	stage	stage	NOUN
aiti-5290	69	21	rocket	rocket	NOUN
aiti-5290	69	22	motion	motion	NOUN
aiti-5290	69	23	.	.	PUNCT
aiti-5290	70	1	the	the	DET
aiti-5290	70	2	most	most	ADJ
aiti-5290	70	3	concerns	concern	NOUN
aiti-5290	70	4	on	on	ADP
aiti-5290	70	5	the	the	DET
aiti-5290	70	6	multi	multi	ADJ
aiti-5290	70	7	-	-	ADJ
aiti-5290	70	8	stage	stage	ADJ
aiti-5290	70	9	rocket	rocket	NOUN
aiti-5290	70	10	motion	motion	NOUN
aiti-5290	70	11	are	be	AUX
aiti-5290	70	12	the	the	DET
aiti-5290	70	13	stage	stage	NOUN
aiti-5290	70	14	separation	separation	NOUN
aiti-5290	70	15	dynamic	dynamic	ADJ
aiti-5290	70	16	control	control	NOUN
aiti-5290	71	1	[	[	X
aiti-5290	71	2	18	18	NUM
aiti-5290	71	3	]	]	PUNCT
aiti-5290	71	4	or	or	CCONJ
aiti-5290	71	5	the	the	DET
aiti-5290	71	6	high	high	ADJ
aiti-5290	71	7	speed	speed	NOUN
aiti-5290	71	8	flows	flow	VERB
aiti-5290	71	9	over	over	ADP
aiti-5290	71	10	the	the	DET
aiti-5290	71	11	joint	joint	NOUN
aiti-5290	71	12	of	of	ADP
aiti-5290	71	13	the	the	DET
aiti-5290	71	14	space	space	NOUN
aiti-5290	71	15	rocket	rocket	NOUN
aiti-5290	71	16	stages	stage	NOUN
aiti-5290	71	17	[	[	X
aiti-5290	71	18	19	19	NUM
aiti-5290	71	19	]	]	PUNCT
aiti-5290	71	20	.	.	PUNCT
aiti-5290	72	1	according	accord	VERB
aiti-5290	72	2	to	to	ADP
aiti-5290	72	3	the	the	DET
aiti-5290	72	4	references	reference	NOUN
aiti-5290	72	5	aforementioned	aforementione	VERB
aiti-5290	72	6	with	with	ADP
aiti-5290	72	7	3d	3d	NUM
aiti-5290	72	8	beams	beam	NOUN
aiti-5290	72	9	or	or	CCONJ
aiti-5290	72	10	rocket	rocket	NOUN
aiti-5290	72	11	motions	motion	NOUN
aiti-5290	72	12	,	,	PUNCT
aiti-5290	72	13	the	the	DET
aiti-5290	72	14	nonlinear	nonlinear	ADJ
aiti-5290	72	15	properties	property	NOUN
aiti-5290	72	16	of	of	ADP
aiti-5290	72	17	both	both	CCONJ
aiti-5290	72	18	primary	primary	ADJ
aiti-5290	72	19	resonance	resonance	NOUN
aiti-5290	72	20	and	and	CCONJ
aiti-5290	72	21	internal	internal	ADJ
aiti-5290	72	22	resonance	resonance	NOUN
aiti-5290	72	23	are	be	AUX
aiti-5290	72	24	less	less	ADV
aiti-5290	72	25	discussed	discuss	VERB
aiti-5290	72	26	simultaneously	simultaneously	ADV
aiti-5290	72	27	in	in	ADP
aiti-5290	72	28	the	the	DET
aiti-5290	72	29	3d	3d	NOUN
aiti-5290	72	30	beams	beam	NOUN
aiti-5290	72	31	or	or	CCONJ
aiti-5290	72	32	rocket	rocket	NOUN
aiti-5290	72	33	structures	structure	NOUN
aiti-5290	72	34	.	.	PUNCT
aiti-5290	73	1	the	the	DET
aiti-5290	73	2	present	present	ADJ
aiti-5290	73	3	study	study	NOUN
aiti-5290	73	4	considers	consider	VERB
aiti-5290	73	5	a	a	DET
aiti-5290	73	6	nonlinear	nonlinear	ADJ
aiti-5290	73	7	double	double	ADJ
aiti-5290	73	8	section	section	NOUN
aiti-5290	73	9	free	free	ADJ
aiti-5290	73	10	-	-	PUNCT
aiti-5290	73	11	free	free	ADJ
aiti-5290	73	12	beam	beam	NOUN
aiti-5290	73	13	subjected	subject	VERB
aiti-5290	73	14	to	to	ADP
aiti-5290	73	15	the	the	DET
aiti-5290	73	16	distributed	distribute	VERB
aiti-5290	73	17	load	load	NOUN
aiti-5290	73	18	with	with	ADP
aiti-5290	73	19	the	the	DET
aiti-5290	73	20	wind	wind	NOUN
aiti-5290	73	21	force	force	NOUN
aiti-5290	73	22	and	and	CCONJ
aiti-5290	73	23	its	its	PRON
aiti-5290	73	24	associated	associate	VERB
aiti-5290	73	25	unsteady	unsteady	ADJ
aiti-5290	73	26	aerodynamic	aerodynamic	ADJ
aiti-5290	73	27	force	force	NOUN
aiti-5290	73	28	.	.	PUNCT
aiti-5290	74	1	since	since	SCONJ
aiti-5290	74	2	the	the	DET
aiti-5290	74	3	primary	primary	ADJ
aiti-5290	74	4	resonance	resonance	NOUN
aiti-5290	74	5	or	or	CCONJ
aiti-5290	74	6	internal	internal	ADJ
aiti-5290	74	7	resonance	resonance	NOUN
aiti-5290	74	8	is	be	AUX
aiti-5290	74	9	unique	unique	ADJ
aiti-5290	74	10	in	in	ADP
aiti-5290	74	11	nonlinear	nonlinear	ADJ
aiti-5290	74	12	problems	problem	NOUN
aiti-5290	74	13	,	,	PUNCT
aiti-5290	74	14	the	the	DET
aiti-5290	74	15	unexcited	unexcited	ADJ
aiti-5290	74	16	modes	mode	NOUN
aiti-5290	74	17	usually	usually	ADV
aiti-5290	74	18	have	have	VERB
aiti-5290	74	19	larger	large	ADJ
aiti-5290	74	20	amplitudes	amplitude	NOUN
aiti-5290	74	21	than	than	ADP
aiti-5290	74	22	the	the	DET
aiti-5290	74	23	excited	excited	ADJ
aiti-5290	74	24	modes	mode	NOUN
aiti-5290	74	25	.	.	PUNCT
aiti-5290	75	1	however	however	ADV
aiti-5290	75	2	,	,	PUNCT
aiti-5290	75	3	these	these	DET
aiti-5290	75	4	conditions	condition	NOUN
aiti-5290	75	5	can	can	AUX
aiti-5290	75	6	not	not	PART
aiti-5290	75	7	be	be	AUX
aiti-5290	75	8	predicted	predict	VERB
aiti-5290	75	9	by	by	ADP
aiti-5290	75	10	using	use	VERB
aiti-5290	75	11	linear	linear	PROPN
aiti-5290	75	12	theories	theory	NOUN
aiti-5290	75	13	.	.	PUNCT
aiti-5290	76	1	it	it	PRON
aiti-5290	76	2	is	be	AUX
aiti-5290	76	3	worth	worth	ADJ
aiti-5290	76	4	having	have	VERB
aiti-5290	76	5	a	a	DET
aiti-5290	76	6	deep	deep	ADJ
aiti-5290	76	7	study	study	NOUN
aiti-5290	76	8	on	on	ADP
aiti-5290	76	9	this	this	DET
aiti-5290	76	10	model	model	NOUN
aiti-5290	76	11	.	.	PUNCT
aiti-5290	77	1	the	the	DET
aiti-5290	77	2	present	present	ADJ
aiti-5290	77	3	work	work	NOUN
aiti-5290	77	4	focuses	focus	VERB
aiti-5290	77	5	on	on	ADP
aiti-5290	77	6	finding	find	VERB
aiti-5290	77	7	the	the	DET
aiti-5290	77	8	forcing	force	VERB
aiti-5290	77	9	conditions	condition	NOUN
aiti-5290	77	10	of	of	ADP
aiti-5290	77	11	this	this	DET
aiti-5290	77	12	3d	3d	ADJ
aiti-5290	77	13	double	double	ADJ
aiti-5290	77	14	-	-	PUNCT
aiti-5290	77	15	section	section	NOUN
aiti-5290	77	16	beam	beam	NOUN
aiti-5290	77	17	to	to	PART
aiti-5290	77	18	trigger	trigger	VERB
aiti-5290	77	19	the	the	DET
aiti-5290	77	20	often	often	ADV
aiti-5290	77	21	-	-	PUNCT
aiti-5290	77	22	ignored	ignore	VERB
aiti-5290	77	23	internal	internal	ADJ
aiti-5290	77	24	resonance	resonance	NOUN
aiti-5290	77	25	or	or	CCONJ
aiti-5290	77	26	prime	prime	ADJ
aiti-5290	77	27	resonance	resonance	NOUN
aiti-5290	77	28	in	in	ADP
aiti-5290	77	29	rocket	rocket	NOUN
aiti-5290	77	30	structures	structure	NOUN
aiti-5290	77	31	.	.	PUNCT
aiti-5290	78	1	this	this	DET
aiti-5290	78	2	research	research	NOUN
aiti-5290	78	3	uses	use	VERB
aiti-5290	78	4	newton	newton	PROPN
aiti-5290	78	5	’s	’s	PART
aiti-5290	78	6	second	second	ADJ
aiti-5290	78	7	law	law	NOUN
aiti-5290	78	8	to	to	PART
aiti-5290	78	9	derive	derive	VERB
aiti-5290	78	10	the	the	DET
aiti-5290	78	11	nonlinear	nonlinear	ADJ
aiti-5290	78	12	equation	equation	NOUN
aiti-5290	78	13	of	of	ADP
aiti-5290	78	14	motion	motion	NOUN
aiti-5290	78	15	.	.	PUNCT
aiti-5290	79	1	the	the	DET
aiti-5290	79	2	method	method	NOUN
aiti-5290	79	3	of	of	ADP
aiti-5290	79	4	multiple	multiple	ADJ
aiti-5290	79	5	scales	scale	NOUN
aiti-5290	79	6	(	(	PUNCT
aiti-5290	79	7	moms	mom	NOUN
aiti-5290	79	8	)	)	PUNCT
aiti-5290	79	9	is	be	AUX
aiti-5290	79	10	used	use	VERB
aiti-5290	79	11	to	to	PART
aiti-5290	79	12	obtain	obtain	VERB
aiti-5290	79	13	the	the	DET
aiti-5290	79	14	steady	steady	ADJ
aiti-5290	79	15	state	state	NOUN
aiti-5290	79	16	frequency	frequency	NOUN
aiti-5290	79	17	response	response	NOUN
aiti-5290	79	18	(	(	PUNCT
aiti-5290	79	19	fixed	fix	VERB
aiti-5290	79	20	point	point	NOUN
aiti-5290	79	21	)	)	PUNCT
aiti-5290	79	22	.	.	PUNCT
aiti-5290	80	1	a	a	DET
aiti-5290	80	2	primary	primary	ADJ
aiti-5290	80	3	resonance	resonance	NOUN
aiti-5290	80	4	is	be	AUX
aiti-5290	80	5	found	find	VERB
aiti-5290	80	6	for	for	ADP
aiti-5290	80	7	a	a	DET
aiti-5290	80	8	uniform	uniform	ADJ
aiti-5290	80	9	free	free	ADV
aiti-5290	80	10	-	-	PUNCT
aiti-5290	80	11	free	free	ADJ
aiti-5290	80	12	beam	beam	NOUN
aiti-5290	80	13	at	at	ADP
aiti-5290	80	14	certain	certain	ADJ
aiti-5290	80	15	flight	flight	NOUN
aiti-5290	80	16	speed	speed	NOUN
aiti-5290	80	17	.	.	PUNCT
aiti-5290	81	1	the	the	DET
aiti-5290	81	2	three	three	NUM
aiti-5290	81	3	-	-	PUNCT
aiti-5290	81	4	to	to	ADP
aiti-5290	81	5	-	-	PUNCT
aiti-5290	81	6	one	one	NUM
aiti-5290	81	7	internal	internal	ADJ
aiti-5290	81	8	resonance	resonance	NOUN
aiti-5290	81	9	is	be	AUX
aiti-5290	81	10	also	also	ADV
aiti-5290	81	11	triggered	trigger	VERB
aiti-5290	81	12	within	within	ADP
aiti-5290	81	13	the	the	DET
aiti-5290	81	14	first	first	ADJ
aiti-5290	81	15	and	and	CCONJ
aiti-5290	81	16	the	the	DET
aiti-5290	81	17	second	second	ADJ
aiti-5290	81	18	modes	mode	NOUN
aiti-5290	81	19	in	in	ADP
aiti-5290	81	20	certain	certain	ADJ
aiti-5290	81	21	combinations	combination	NOUN
aiti-5290	81	22	of	of	ADP
aiti-5290	81	23	beam	beam	NOUN
aiti-5290	81	24	length	length	NOUN
aiti-5290	81	25	and	and	CCONJ
aiti-5290	81	26	diameter	diameter	NOUN
aiti-5290	81	27	ratios	ratio	NOUN
aiti-5290	81	28	of	of	ADP
aiti-5290	81	29	a	a	DET
aiti-5290	81	30	double	double	ADJ
aiti-5290	81	31	-	-	PUNCT
aiti-5290	81	32	section	section	NOUN
aiti-5290	81	33	beam	beam	NOUN
aiti-5290	81	34	.	.	PUNCT
aiti-5290	82	1	the	the	DET
aiti-5290	82	2	fixed	fix	VERB
aiti-5290	82	3	points	point	NOUN
aiti-5290	82	4	plot	plot	NOUN
aiti-5290	82	5	is	be	AUX
aiti-5290	82	6	used	use	VERB
aiti-5290	82	7	to	to	PART
aiti-5290	82	8	observe	observe	VERB
aiti-5290	82	9	the	the	DET
aiti-5290	82	10	nonlinear	nonlinear	ADJ
aiti-5290	82	11	phenomenon	phenomenon	NOUN
aiti-5290	82	12	in	in	ADP
aiti-5290	82	13	the	the	DET
aiti-5290	82	14	system	system	NOUN
aiti-5290	82	15	.	.	PUNCT
aiti-5290	83	1	the	the	DET
aiti-5290	83	2	fourth	fourth	ADJ
aiti-5290	83	3	-	-	PUNCT
aiti-5290	83	4	order	order	NOUN
aiti-5290	83	5	runge	runge	NOUN
aiti-5290	83	6	-	-	PUNCT
aiti-5290	83	7	kutta	kutta	NOUN
aiti-5290	83	8	method	method	NOUN
aiti-5290	83	9	is	be	AUX
aiti-5290	83	10	also	also	ADV
aiti-5290	83	11	performed	perform	VERB
aiti-5290	83	12	to	to	PART
aiti-5290	83	13	verify	verify	VERB
aiti-5290	83	14	the	the	DET
aiti-5290	83	15	results	result	NOUN
aiti-5290	83	16	of	of	ADP
aiti-5290	83	17	frequency	frequency	NOUN
aiti-5290	83	18	response	response	NOUN
aiti-5290	83	19	and	and	CCONJ
aiti-5290	83	20	the	the	DET
aiti-5290	83	21	internal	internal	ADJ
aiti-5290	83	22	resonance	resonance	NOUN
aiti-5290	83	23	.	.	PUNCT
aiti-5290	84	1	advances	advance	NOUN
aiti-5290	84	2	in	in	ADP
aiti-5290	84	3	technology	technology	NOUN
aiti-5290	84	4	innovation	innovation	NOUN
aiti-5290	84	5	,	,	PUNCT
aiti-5290	84	6	vol	vol	NOUN
aiti-5290	84	7	.	.	PROPN
aiti-5290	84	8	5	5	NUM
aiti-5290	84	9	,	,	PUNCT
aiti-5290	84	10	no	no	INTJ
aiti-5290	84	11	.	.	NOUN
aiti-5290	84	12	4	4	NUM
aiti-5290	84	13	,	,	PUNCT
aiti-5290	84	14	2020	2020	NUM
aiti-5290	84	15	,	,	PUNCT
aiti-5290	84	16	pp	pp	ADV
aiti-5290	84	17	.	.	PUNCT
aiti-5290	85	1	270	270	NUM
aiti-5290	85	2	-	-	SYM
aiti-5290	85	3	291	291	NUM
aiti-5290	85	4	272	272	NUM
aiti-5290	85	5	2	2	NUM
aiti-5290	85	6	.	.	PUNCT
aiti-5290	85	7	theoretical	theoretical	ADJ
aiti-5290	85	8	model	model	NOUN
aiti-5290	85	9	2.1	2.1	NUM
aiti-5290	85	10	.	.	PUNCT
aiti-5290	86	1	equations	equation	NOUN
aiti-5290	86	2	of	of	ADP
aiti-5290	86	3	motion	motion	NOUN
aiti-5290	86	4	for	for	ADP
aiti-5290	86	5	uniform	uniform	ADJ
aiti-5290	86	6	free	free	ADJ
aiti-5290	86	7	-	-	PUNCT
aiti-5290	86	8	free	free	ADJ
aiti-5290	86	9	beam	beam	NOUN
aiti-5290	86	10	this	this	DET
aiti-5290	86	11	study	study	NOUN
aiti-5290	86	12	analyzes	analyze	VERB
aiti-5290	86	13	the	the	DET
aiti-5290	86	14	vibrations	vibration	NOUN
aiti-5290	86	15	in	in	ADP
aiti-5290	86	16	a	a	DET
aiti-5290	86	17	straight	straight	ADJ
aiti-5290	86	18	3d	3d	NUM
aiti-5290	86	19	free	free	ADJ
aiti-5290	86	20	-	-	PUNCT
aiti-5290	86	21	free	free	ADJ
aiti-5290	86	22	nonlinear	nonlinear	ADJ
aiti-5290	86	23	beam	beam	NOUN
aiti-5290	86	24	,	,	PUNCT
aiti-5290	86	25	which	which	PRON
aiti-5290	86	26	could	could	AUX
aiti-5290	86	27	be	be	AUX
aiti-5290	86	28	used	use	VERB
aiti-5290	86	29	to	to	PART
aiti-5290	86	30	simulate	simulate	VERB
aiti-5290	86	31	the	the	DET
aiti-5290	86	32	high	high	ADJ
aiti-5290	86	33	speed	speed	NOUN
aiti-5290	86	34	aircrafts	aircraft	NOUN
aiti-5290	86	35	such	such	ADJ
aiti-5290	86	36	as	as	ADP
aiti-5290	86	37	rocket	rocket	NOUN
aiti-5290	86	38	,	,	PUNCT
aiti-5290	86	39	missiles	missile	NOUN
aiti-5290	86	40	,	,	PUNCT
aiti-5290	86	41	etc	etc	X
aiti-5290	86	42	.	.	X
aiti-5290	87	1	the	the	DET
aiti-5290	87	2	schematic	schematic	ADJ
aiti-5290	87	3	of	of	ADP
aiti-5290	87	4	the	the	DET
aiti-5290	87	5	space	space	NOUN
aiti-5290	87	6	rocket	rocket	NOUN
aiti-5290	87	7	,	,	PUNCT
aiti-5290	87	8	the	the	DET
aiti-5290	87	9	coordinate	coordinate	ADJ
aiti-5290	87	10	definitions	definition	NOUN
aiti-5290	87	11	of	of	ADP
aiti-5290	87	12	the	the	DET
aiti-5290	87	13	simulated	simulate	VERB
aiti-5290	87	14	beam	beam	NOUN
aiti-5290	87	15	,	,	PUNCT
aiti-5290	87	16	and	and	CCONJ
aiti-5290	87	17	the	the	DET
aiti-5290	87	18	relationships	relationship	NOUN
aiti-5290	87	19	between	between	ADP
aiti-5290	87	20	the	the	DET
aiti-5290	87	21	various	various	ADJ
aiti-5290	87	22	external	external	ADJ
aiti-5290	87	23	forces	force	NOUN
aiti-5290	87	24	are	be	AUX
aiti-5290	87	25	demonstrated	demonstrate	VERB
aiti-5290	87	26	in	in	ADP
aiti-5290	87	27	fig	fig	NOUN
aiti-5290	87	28	.	.	PUNCT
aiti-5290	88	1	1	1	X
aiti-5290	88	2	.	.	X
aiti-5290	88	3	fig	fig	NOUN
aiti-5290	88	4	.	.	PUNCT
aiti-5290	89	1	1(a	1(a	NUM
aiti-5290	89	2	)	)	PUNCT
aiti-5290	89	3	shows	show	VERB
aiti-5290	89	4	the	the	DET
aiti-5290	89	5	space	space	NOUN
aiti-5290	89	6	rocket	rocket	NOUN
aiti-5290	89	7	model	model	NOUN
aiti-5290	89	8	similar	similar	ADJ
aiti-5290	89	9	to	to	ADP
aiti-5290	89	10	the	the	DET
aiti-5290	89	11	satellite	satellite	NOUN
aiti-5290	89	12	and	and	CCONJ
aiti-5290	89	13	rocket	rocket	NOUN
aiti-5290	89	14	propulsion	propulsion	NOUN
aiti-5290	89	15	lab	lab	NOUN
aiti-5290	89	16	.	.	PUNCT
aiti-5290	90	1	at	at	ADP
aiti-5290	90	2	ncku	ncku	PROPN
aiti-5290	90	3	.	.	PUNCT
aiti-5290	91	1	it	it	PRON
aiti-5290	91	2	is	be	AUX
aiti-5290	91	3	true	true	ADJ
aiti-5290	91	4	that	that	SCONJ
aiti-5290	91	5	the	the	DET
aiti-5290	91	6	proposed	propose	VERB
aiti-5290	91	7	beam	beam	NOUN
aiti-5290	91	8	model	model	NOUN
aiti-5290	91	9	can	can	AUX
aiti-5290	91	10	be	be	AUX
aiti-5290	91	11	applied	apply	VERB
aiti-5290	91	12	to	to	PART
aiti-5290	91	13	simulate	simulate	VERB
aiti-5290	91	14	a	a	DET
aiti-5290	91	15	missile	missile	NOUN
aiti-5290	91	16	or	or	CCONJ
aiti-5290	91	17	a	a	DET
aiti-5290	91	18	rocket	rocket	NOUN
aiti-5290	91	19	vibration	vibration	NOUN
aiti-5290	91	20	motion	motion	NOUN
aiti-5290	91	21	.	.	PUNCT
aiti-5290	92	1	even	even	ADV
aiti-5290	92	2	though	though	SCONJ
aiti-5290	92	3	the	the	DET
aiti-5290	92	4	rocket	rocket	NOUN
aiti-5290	92	5	model	model	NOUN
aiti-5290	92	6	is	be	AUX
aiti-5290	92	7	hollow	hollow	ADJ
aiti-5290	92	8	,	,	PUNCT
aiti-5290	92	9	the	the	DET
aiti-5290	92	10	bulkheads	bulkhead	NOUN
aiti-5290	92	11	,	,	PUNCT
aiti-5290	92	12	formers	former	NOUN
aiti-5290	92	13	,	,	PUNCT
aiti-5290	92	14	longerons	longeron	NOUN
aiti-5290	92	15	,	,	PUNCT
aiti-5290	92	16	stringers	stringer	NOUN
aiti-5290	92	17	and	and	CCONJ
aiti-5290	92	18	struts	strut	NOUN
aiti-5290	92	19	strengthen	strengthen	VERB
aiti-5290	92	20	the	the	DET
aiti-5290	92	21	fuselage	fuselage	NOUN
aiti-5290	92	22	structure	structure	NOUN
aiti-5290	92	23	of	of	ADP
aiti-5290	92	24	the	the	DET
aiti-5290	92	25	rocket	rocket	NOUN
aiti-5290	92	26	.	.	PUNCT
aiti-5290	93	1	the	the	DET
aiti-5290	93	2	beam	beam	NOUN
aiti-5290	93	3	model	model	NOUN
aiti-5290	93	4	is	be	AUX
aiti-5290	93	5	used	use	VERB
aiti-5290	93	6	to	to	PART
aiti-5290	93	7	simulate	simulate	VERB
aiti-5290	93	8	the	the	DET
aiti-5290	93	9	rocket	rocket	NOUN
aiti-5290	93	10	motion	motion	NOUN
aiti-5290	93	11	for	for	ADP
aiti-5290	93	12	a	a	DET
aiti-5290	93	13	preliminary	preliminary	ADJ
aiti-5290	93	14	study	study	NOUN
aiti-5290	93	15	.	.	PUNCT
aiti-5290	94	1	in	in	ADP
aiti-5290	94	2	this	this	DET
aiti-5290	94	3	research	research	NOUN
aiti-5290	94	4	,	,	PUNCT
aiti-5290	94	5	the	the	DET
aiti-5290	94	6	internal	internal	ADJ
aiti-5290	94	7	resonance	resonance	NOUN
aiti-5290	94	8	and	and	CCONJ
aiti-5290	94	9	the	the	DET
aiti-5290	94	10	primary	primary	ADJ
aiti-5290	94	11	resonance	resonance	NOUN
aiti-5290	94	12	of	of	ADP
aiti-5290	94	13	the	the	DET
aiti-5290	94	14	rocket	rocket	NOUN
aiti-5290	94	15	nonlinear	nonlinear	NOUN
aiti-5290	94	16	properties	property	NOUN
aiti-5290	94	17	are	be	AUX
aiti-5290	94	18	studied	study	VERB
aiti-5290	94	19	.	.	PUNCT
aiti-5290	95	1	fig	fig	NOUN
aiti-5290	95	2	.	.	PUNCT
aiti-5290	96	1	1(b	1(b	NUM
aiti-5290	96	2	)	)	PUNCT
aiti-5290	97	1	represents	represent	VERB
aiti-5290	97	2	the	the	DET
aiti-5290	97	3	schematic	schematic	ADJ
aiti-5290	97	4	of	of	ADP
aiti-5290	97	5	the	the	DET
aiti-5290	97	6	coordinate	coordinate	NOUN
aiti-5290	97	7	definitions	definition	NOUN
aiti-5290	97	8	and	and	CCONJ
aiti-5290	97	9	the	the	DET
aiti-5290	97	10	multiple	multiple	ADJ
aiti-5290	97	11	forces	force	NOUN
aiti-5290	97	12	applied	apply	VERB
aiti-5290	97	13	to	to	ADP
aiti-5290	97	14	a	a	DET
aiti-5290	97	15	uniform	uniform	ADJ
aiti-5290	97	16	free	free	ADV
aiti-5290	97	17	-	-	PUNCT
aiti-5290	97	18	free	free	ADJ
aiti-5290	97	19	beam	beam	NOUN
aiti-5290	97	20	.	.	PUNCT
aiti-5290	98	1	the	the	DET
aiti-5290	98	2	initial	initial	ADJ
aiti-5290	98	3	status	status	NOUN
aiti-5290	98	4	of	of	ADP
aiti-5290	98	5	the	the	DET
aiti-5290	98	6	beam	beam	NOUN
aiti-5290	98	7	is	be	AUX
aiti-5290	98	8	considered	consider	VERB
aiti-5290	98	9	straight	straight	ADV
aiti-5290	98	10	under	under	ADP
aiti-5290	98	11	the	the	DET
aiti-5290	98	12	assumption	assumption	NOUN
aiti-5290	98	13	that	that	SCONJ
aiti-5290	98	14	each	each	DET
aiti-5290	98	15	cross	cross	NOUN
aiti-5290	98	16	-	-	NOUN
aiti-5290	98	17	section	section	NOUN
aiti-5290	98	18	is	be	AUX
aiti-5290	98	19	a	a	DET
aiti-5290	98	20	plane	plane	NOUN
aiti-5290	98	21	.	.	PUNCT
aiti-5290	99	1	the	the	DET
aiti-5290	99	2	deformation	deformation	NOUN
aiti-5290	99	3	of	of	ADP
aiti-5290	99	4	the	the	DET
aiti-5290	99	5	beam	beam	NOUN
aiti-5290	99	6	also	also	ADV
aiti-5290	99	7	follows	follow	VERB
aiti-5290	99	8	the	the	DET
aiti-5290	99	9	stress	stress	NOUN
aiti-5290	99	10	-	-	PUNCT
aiti-5290	99	11	strain	strain	NOUN
aiti-5290	99	12	laws	law	NOUN
aiti-5290	99	13	.	.	PUNCT
aiti-5290	100	1	three	three	NUM
aiti-5290	100	2	consecutive	consecutive	ADJ
aiti-5290	100	3	euler	euler	NOUN
aiti-5290	100	4	angles	angle	NOUN
aiti-5290	100	5	are	be	AUX
aiti-5290	100	6	used	use	VERB
aiti-5290	100	7	to	to	PART
aiti-5290	100	8	relate	relate	VERB
aiti-5290	100	9	the	the	DET
aiti-5290	100	10	deformed	deform	VERB
aiti-5290	100	11	and	and	CCONJ
aiti-5290	100	12	unreformed	unreformed	ADJ
aiti-5290	100	13	states	state	NOUN
aiti-5290	100	14	.	.	PUNCT
aiti-5290	101	1	the	the	DET
aiti-5290	101	2	equations	equation	NOUN
aiti-5290	101	3	contain	contain	VERB
aiti-5290	101	4	structural	structural	ADJ
aiti-5290	101	5	coupling	coupling	NOUN
aiti-5290	101	6	terms	term	NOUN
aiti-5290	101	7	,	,	PUNCT
aiti-5290	101	8	quadratic	quadratic	ADJ
aiti-5290	101	9	,	,	PUNCT
aiti-5290	101	10	and	and	CCONJ
aiti-5290	101	11	cubic	cubic	ADJ
aiti-5290	101	12	nonlinearities	nonlinearitie	NOUN
aiti-5290	101	13	due	due	ADJ
aiti-5290	101	14	to	to	PART
aiti-5290	101	15	curvature	curvature	VERB
aiti-5290	101	16	and	and	CCONJ
aiti-5290	101	17	inertia	inertia	NOUN
aiti-5290	101	18	.	.	PUNCT
aiti-5290	102	1	based	base	VERB
aiti-5290	102	2	on	on	ADP
aiti-5290	102	3	newton	newton	PROPN
aiti-5290	102	4	’s	’s	PART
aiti-5290	102	5	2nd	2nd	PROPN
aiti-5290	102	6	law	law	NOUN
aiti-5290	102	7	,	,	PUNCT
aiti-5290	102	8	euler	euler	NOUN
aiti-5290	102	9	angle	angle	NOUN
aiti-5290	102	10	transformation	transformation	NOUN
aiti-5290	102	11	,	,	PUNCT
aiti-5290	102	12	and	and	CCONJ
aiti-5290	102	13	taylor	taylor	PROPN
aiti-5290	102	14	series	series	PROPN
aiti-5290	102	15	expansion	expansion	PROPN
aiti-5290	102	16	,	,	PUNCT
aiti-5290	102	17	the	the	DET
aiti-5290	102	18	equations	equation	NOUN
aiti-5290	102	19	of	of	ADP
aiti-5290	102	20	motion	motion	NOUN
aiti-5290	102	21	of	of	ADP
aiti-5290	102	22	the	the	DET
aiti-5290	102	23	nonlinear	nonlinear	ADJ
aiti-5290	102	24	beam	beam	NOUN
aiti-5290	102	25	can	can	AUX
aiti-5290	102	26	be	be	AUX
aiti-5290	102	27	expressed	express	VERB
aiti-5290	102	28	as	as	SCONJ
aiti-5290	102	29	follows	follow	VERB
aiti-5290	102	30	[	[	X
aiti-5290	102	31	14	14	NUM
aiti-5290	102	32	]	]	X
aiti-5290	102	33	:	:	PUNCT
aiti-5290	103	1	y	y	PROPN
aiti-5290	103	2	y	y	PROPN
aiti-5290	103	3	y	y	PROPN
aiti-5290	103	4	mv	mv	PROPN
aiti-5290	103	5	c	c	PROPN
aiti-5290	103	6	v	v	ADP
aiti-5290	103	7	g	g	PROPN
aiti-5290	103	8	f′+	f′+	NOUN
aiti-5290	103	9	=	=	PUNCT
aiti-5290	104	1	+	+	NOUN
aiti-5290	104	2	ɺɺ	ɺɺ	PROPN
aiti-5290	104	3	ɺ	ɺ	PROPN
aiti-5290	104	4	(	(	PUNCT
aiti-5290	104	5	1	1	NUM
aiti-5290	104	6	)	)	PUNCT
aiti-5290	104	7	z	z	NOUN
aiti-5290	104	8	z	z	NOUN
aiti-5290	104	9	zmw	zmw	NOUN
aiti-5290	104	10	c	c	NOUN
aiti-5290	104	11	w	w	NOUN
aiti-5290	104	12	g	g	NOUN
aiti-5290	104	13	f′+	f′+	NOUN
aiti-5290	104	14	=	=	PUNCT
aiti-5290	105	1	+	+	NOUN
aiti-5290	105	2	ɺɺ	ɺɺ	PROPN
aiti-5290	105	3	ɺ	ɺ	PROPN
aiti-5290	105	4	(	(	PUNCT
aiti-5290	105	5	2	2	NUM
aiti-5290	105	6	)	)	PUNCT
aiti-5290	105	7	x	x	X
aiti-5290	106	1	x	x	PUNCT
aiti-5290	106	2	x	x	X
aiti-5290	106	3	xj	xj	PROPN
aiti-5290	106	4	c	c	PROPN
aiti-5290	106	5	g	g	PROPN
aiti-5290	106	6	mγ	mγ	INTJ
aiti-5290	106	7	γ+	γ+	PUNCT
aiti-5290	106	8	=	=	PUNCT
aiti-5290	107	1	+	+	ADJ
aiti-5290	107	2	ɺɺ	ɺɺ	PROPN
aiti-5290	107	3	ɺ	ɺ	PROPN
aiti-5290	107	4	(	(	PUNCT
aiti-5290	107	5	3	3	NUM
aiti-5290	107	6	)	)	PUNCT
aiti-5290	107	7	(	(	PUNCT
aiti-5290	107	8	a	a	X
aiti-5290	107	9	)	)	PUNCT
aiti-5290	107	10	schematic	schematic	ADJ
aiti-5290	107	11	of	of	ADP
aiti-5290	107	12	ncku	ncku	ADJ
aiti-5290	107	13	htpb	htpb	PROPN
aiti-5290	107	14	/	/	SYM
aiti-5290	107	15	n2o	n2o	NOUN
aiti-5290	107	16	hybrid	hybrid	ADJ
aiti-5290	107	17	rocket	rocket	NOUN
aiti-5290	107	18	model	model	NOUN
aiti-5290	107	19	(	(	PUNCT
aiti-5290	107	20	b	b	NOUN
aiti-5290	107	21	)	)	PUNCT
aiti-5290	107	22	schematic	schematic	ADJ
aiti-5290	107	23	of	of	ADP
aiti-5290	107	24	multiple	multiple	ADJ
aiti-5290	107	25	forces	force	NOUN
aiti-5290	107	26	applied	apply	VERB
aiti-5290	107	27	to	to	ADP
aiti-5290	107	28	a	a	DET
aiti-5290	107	29	uniform	uniform	ADJ
aiti-5290	107	30	free	free	ADV
aiti-5290	107	31	-	-	PUNCT
aiti-5290	107	32	free	free	ADJ
aiti-5290	107	33	beam	beam	NOUN
aiti-5290	107	34	fig	fig	NOUN
aiti-5290	107	35	.	.	PUNCT
aiti-5290	107	36	1	1	NUM
aiti-5290	107	37	the	the	DET
aiti-5290	107	38	rocket	rocket	NOUN
aiti-5290	107	39	model	model	NOUN
aiti-5290	107	40	and	and	CCONJ
aiti-5290	107	41	a	a	DET
aiti-5290	107	42	uniform	uniform	ADJ
aiti-5290	107	43	free	free	ADV
aiti-5290	107	44	-	-	PUNCT
aiti-5290	107	45	free	free	ADJ
aiti-5290	107	46	beam	beam	NOUN
aiti-5290	107	47	approximated	approximate	VERB
aiti-5290	107	48	model	model	NOUN
aiti-5290	107	49	where	where	SCONJ
aiti-5290	107	50	m	m	PROPN
aiti-5290	107	51	is	be	AUX
aiti-5290	107	52	the	the	DET
aiti-5290	107	53	beam	beam	PROPN
aiti-5290	107	54	mass	mass	NOUN
aiti-5290	107	55	per	per	ADP
aiti-5290	107	56	unit	unit	NOUN
aiti-5290	107	57	length	length	NOUN
aiti-5290	107	58	,	,	PUNCT
aiti-5290	107	59	�	�	PROPN
aiti-5290	107	60	�	�	NOUN
aiti-5290	107	61	̅	̅	NOUN
aiti-5290	107	62	is	be	AUX
aiti-5290	107	63	the	the	DET
aiti-5290	107	64	mass	mass	ADJ
aiti-5290	107	65	moment	moment	NOUN
aiti-5290	107	66	of	of	ADP
aiti-5290	107	67	inertia	inertia	NOUN
aiti-5290	107	68	in	in	ADP
aiti-5290	107	69	the	the	DET
aiti-5290	107	70	x	x	NOUN
aiti-5290	107	71	-	-	NOUN
aiti-5290	107	72	direction	direction	NOUN
aiti-5290	107	73	,	,	PUNCT
aiti-5290	107	74	�	�	PROPN
aiti-5290	107	75	�	�	NOUN
aiti-5290	107	76	̅	̅	NOUN
aiti-5290	107	77	,	,	PUNCT
aiti-5290	107	78	�	�	PROPN
aiti-5290	107	79	�	�	NOUN
aiti-5290	107	80	̅	̅	NOUN
aiti-5290	107	81	,	,	PUNCT
aiti-5290	107	82	and	and	CCONJ
aiti-5290	107	83	�	�	PROPN
aiti-5290	107	84	�	�	NOUN
aiti-5290	107	85	̅	̅	NOUN
aiti-5290	107	86	represent	represent	VERB
aiti-5290	107	87	the	the	DET
aiti-5290	107	88	damping	damp	VERB
aiti-5290	107	89	coefficient	coefficient	NOUN
aiti-5290	107	90	of	of	ADP
aiti-5290	107	91	the	the	DET
aiti-5290	107	92	beam	beam	NOUN
aiti-5290	107	93	in	in	ADP
aiti-5290	107	94	the	the	DET
aiti-5290	107	95	y-	y-	X
aiti-5290	107	96	,	,	PUNCT
aiti-5290	107	97	z-	z-	X
aiti-5290	107	98	,	,	PUNCT
aiti-5290	107	99	and	and	CCONJ
aiti-5290	107	100	x	x	X
aiti-5290	107	101	-	-	NOUN
aiti-5290	107	102	axis	axis	ADJ
aiti-5290	107	103	,	,	PUNCT
aiti-5290	107	104	respectively	respectively	ADV
aiti-5290	107	105	.	.	PUNCT
aiti-5290	108	1	the	the	DET
aiti-5290	108	2	�	�	PROPN
aiti-5290	108	3	�	�	PROPN
aiti-5290	108	4	,	,	PUNCT
aiti-5290	108	5	�	�	PROPN
aiti-5290	108	6	�	�	PROPN
aiti-5290	108	7	,	,	PUNCT
aiti-5290	108	8	and	and	CCONJ
aiti-5290	108	9	�	�	PROPN
aiti-5290	108	10	�	�	PROPN
aiti-5290	108	11	represent	represent	VERB
aiti-5290	108	12	the	the	DET
aiti-5290	108	13	unsteady	unsteady	ADJ
aiti-5290	108	14	harmonic	harmonic	ADJ
aiti-5290	108	15	wind	wind	NOUN
aiti-5290	108	16	force	force	NOUN
aiti-5290	108	17	and	and	CCONJ
aiti-5290	108	18	aerodynamic	aerodynamic	ADJ
aiti-5290	108	19	moment	moment	NOUN
aiti-5290	108	20	in	in	ADP
aiti-5290	108	21	the	the	DET
aiti-5290	108	22	y-	y-	X
aiti-5290	108	23	,	,	PUNCT
aiti-5290	108	24	z-	z-	X
aiti-5290	108	25	,	,	PUNCT
aiti-5290	108	26	and	and	CCONJ
aiti-5290	108	27	x	x	NOUN
aiti-5290	108	28	-	-	NOUN
aiti-5290	108	29	directions	direction	NOUN
aiti-5290	108	30	,	,	PUNCT
aiti-5290	108	31	respectively	respectively	ADV
aiti-5290	108	32	.	.	PUNCT
aiti-5290	109	1	the	the	DET
aiti-5290	109	2	v	v	NOUN
aiti-5290	109	3	,	,	PUNCT
aiti-5290	109	4	w	w	PROPN
aiti-5290	109	5	,	,	PUNCT
aiti-5290	109	6	and	and	CCONJ
aiti-5290	109	7	�	�	PROPN
aiti-5290	109	8	represent	represent	VERB
aiti-5290	109	9	the	the	DET
aiti-5290	109	10	beam	beam	NOUN
aiti-5290	109	11	displacement	displacement	NOUN
aiti-5290	109	12	(	(	PUNCT
aiti-5290	109	13	or	or	CCONJ
aiti-5290	109	14	twist	twist	NOUN
aiti-5290	109	15	angle	angle	NOUN
aiti-5290	109	16	)	)	PUNCT
aiti-5290	109	17	in	in	ADP
aiti-5290	109	18	the	the	DET
aiti-5290	109	19	y-	y-	PROPN
aiti-5290	109	20	,	,	PUNCT
aiti-5290	109	21	zand	zand	PROPN
aiti-5290	109	22	x	x	NOUN
aiti-5290	109	23	-	-	NOUN
aiti-5290	109	24	directions	direction	NOUN
aiti-5290	109	25	,	,	PUNCT
aiti-5290	109	26	respectively	respectively	ADV
aiti-5290	109	27	.	.	PUNCT
aiti-5290	110	1	⋅	⋅	PROPN
aiti-5290	110	2	�	�	PROPN
aiti-5290	110	3	denotes	denotes	PROPN
aiti-5290	110	4	�	�	PROPN
aiti-5290	110	5	/	/	SYM
aiti-5290	110	6	�	�	PROPN
aiti-5290	110	7	�	�	NOUN
aiti-5290	110	8	̅	̅	NOUN
aiti-5290	110	9	,	,	PUNCT
aiti-5290	110	10	and	and	CCONJ
aiti-5290	110	11	�	�	PROPN
aiti-5290	110	12	�	�	PROPN
aiti-5290	110	13	denotes	denotes	PROPN
aiti-5290	110	14	�	�	PROPN
aiti-5290	110	15	/	/	SYM
aiti-5290	110	16	�	�	PROPN
aiti-5290	110	17	�	�	NOUN
aiti-5290	110	18	̅	̅	NOUN
aiti-5290	110	19	.	.	PUNCT
aiti-5290	111	1	furthermore	furthermore	ADV
aiti-5290	111	2	,	,	PUNCT
aiti-5290	111	3	gy	gy	INTJ
aiti-5290	111	4	,	,	PUNCT
aiti-5290	111	5	gz	gz	NOUN
aiti-5290	111	6	,	,	PUNCT
aiti-5290	111	7	and	and	CCONJ
aiti-5290	111	8	gx	gx	PROPN
aiti-5290	111	9	are	be	AUX
aiti-5290	111	10	defined	define	VERB
aiti-5290	111	11	below	below	ADP
aiti-5290	111	12	for	for	ADP
aiti-5290	111	13	a	a	DET
aiti-5290	111	14	uniform	uniform	ADJ
aiti-5290	111	15	and	and	CCONJ
aiti-5290	111	16	isotropic	isotropic	ADJ
aiti-5290	111	17	beam	beam	NOUN
aiti-5290	112	1	[	[	X
aiti-5290	112	2	14	14	NUM
aiti-5290	112	3	]	]	SYM
aiti-5290	112	4	:	:	PUNCT
aiti-5290	112	5	2	2	NUM
aiti-5290	112	6	0	0	NUM
aiti-5290	112	7	2	2	NUM
aiti-5290	112	8	2	2	NUM
aiti-5290	112	9	0	0	NUM
aiti-5290	112	10	(	(	PUNCT
aiti-5290	112	11	)	)	PUNCT
aiti-5290	112	12	(	(	PUNCT
aiti-5290	112	13	)	)	PUNCT
aiti-5290	112	14	(	(	PUNCT
aiti-5290	112	15	)	)	PUNCT
aiti-5290	112	16	(	(	PUNCT
aiti-5290	112	17	)	)	PUNCT
aiti-5290	113	1	[	[	X
aiti-5290	113	2	(	(	PUNCT
aiti-5290	113	3	)	)	PUNCT
aiti-5290	113	4	]	]	PUNCT
aiti-5290	113	5	(	(	PUNCT
aiti-5290	113	6	1/	1/	NUM
aiti-5290	113	7	2	2	NUM
aiti-5290	113	8	)	)	PUNCT
aiti-5290	113	9	[	[	PUNCT
aiti-5290	113	10	(	(	PUNCT
aiti-5290	113	11	)	)	PUNCT
aiti-5290	113	12	]	]	PUNCT
aiti-5290	114	1	x	x	PUNCT
aiti-5290	114	2	y	y	NOUN
aiti-5290	114	3	zz	zz	INTJ
aiti-5290	115	1	xx	xx	NUM
aiti-5290	116	1	zz	zz	INTJ
aiti-5290	117	1	yy	yy	INTJ
aiti-5290	117	2	zz	zz	INTJ
aiti-5290	118	1	x	x	PUNCT
aiti-5290	118	2	x	x	PUNCT
aiti-5290	119	1	l	l	NOUN
aiti-5290	119	2	g	g	NOUN
aiti-5290	119	3	d	d	X
aiti-5290	119	4	v	v	PROPN
aiti-5290	119	5	d	d	X
aiti-5290	119	6	w	w	PROPN
aiti-5290	119	7	d	d	X
aiti-5290	119	8	v	v	ADP
aiti-5290	119	9	v	v	NUM
aiti-5290	119	10	v	v	NOUN
aiti-5290	119	11	w	w	PROPN
aiti-5290	119	12	w	w	PROPN
aiti-5290	119	13	d	d	PROPN
aiti-5290	119	14	d	d	PROPN
aiti-5290	119	15	w	w	PROPN
aiti-5290	119	16	v	v	PROPN
aiti-5290	119	17	w	w	PROPN
aiti-5290	119	18	v	v	PROPN
aiti-5290	119	19	w	w	PROPN
aiti-5290	119	20	dx	dx	PROPN
aiti-5290	119	21	v	v	PROPN
aiti-5290	119	22	m	m	PROPN
aiti-5290	119	23	v	v	NOUN
aiti-5290	119	24	w	w	PROPN
aiti-5290	119	25	dx	dx	PROPN
aiti-5290	119	26	dx	dx	PROPN
aiti-5290	119	27	γ	γ	PROPN
aiti-5290	119	28	γ	γ	X
aiti-5290	119	29	γ′′	γ′′	PROPN
aiti-5290	119	30	′	′	NUM
aiti-5290	119	31	′	′	NUM
aiti-5290	120	1	′′	′′	NOUN
aiti-5290	120	2	′	′	NOUN
aiti-5290	120	3	′	′	NUM
aiti-5290	121	1	′′	′′	NOUN
aiti-5290	121	2	′	′	NUM
aiti-5290	122	1	′′	′′	PROPN
aiti-5290	122	2	′	′	NUM
aiti-5290	123	1	′′	′′	PROPN
aiti-5290	123	2	′′	′′	PROPN
aiti-5290	123	3	′	′	NOUN
aiti-5290	123	4	′′′	′′′	VERB
aiti-5290	124	1	′′	′′	PROPN
aiti-5290	124	2	′=	′=	PROPN
aiti-5290	124	3	−	−	PROPN
aiti-5290	124	4	−	−	NOUN
aiti-5290	124	5	−	−	PROPN
aiti-5290	125	1	+	+	CCONJ
aiti-5290	125	2	+	+	NUM
aiti-5290	125	3	−	−	NOUN
aiti-5290	126	1	−	−	NOUN
aiti-5290	126	2	−	−	NOUN
aiti-5290	127	1	′	′	NUM
aiti-5290	127	2	′	′	NUM
aiti-5290	128	1	′−	′−	PROPN
aiti-5290	129	1	+	+	CCONJ
aiti-5290	130	1	∫	∫	PROPN
aiti-5290	130	2	∫	∫	PROPN
aiti-5290	130	3	∫	∫	PROPN
aiti-5290	130	4	ɺɺ	ɺɺ	PROPN
aiti-5290	130	5	(	(	PUNCT
aiti-5290	130	6	4	4	X
aiti-5290	130	7	)	)	PUNCT
aiti-5290	130	8	advances	advance	NOUN
aiti-5290	130	9	in	in	ADP
aiti-5290	130	10	technology	technology	NOUN
aiti-5290	130	11	innovation	innovation	NOUN
aiti-5290	130	12	,	,	PUNCT
aiti-5290	130	13	vol	vol	NOUN
aiti-5290	130	14	.	.	PROPN
aiti-5290	130	15	5	5	NUM
aiti-5290	130	16	,	,	PUNCT
aiti-5290	130	17	no	no	INTJ
aiti-5290	130	18	.	.	NOUN
aiti-5290	130	19	4	4	NUM
aiti-5290	130	20	,	,	PUNCT
aiti-5290	130	21	2020	2020	NUM
aiti-5290	130	22	,	,	PUNCT
aiti-5290	130	23	pp	pp	ADV
aiti-5290	130	24	.	.	PUNCT
aiti-5290	131	1	270	270	NUM
aiti-5290	131	2	-	-	SYM
aiti-5290	131	3	291	291	NUM
aiti-5290	131	4	273	273	NUM
aiti-5290	131	5	2	2	NUM
aiti-5290	131	6	0	0	NUM
aiti-5290	131	7	2	2	NUM
aiti-5290	131	8	2	2	NUM
aiti-5290	131	9	0	0	NUM
aiti-5290	131	10	(	(	PUNCT
aiti-5290	131	11	)	)	PUNCT
aiti-5290	131	12	(	(	PUNCT
aiti-5290	131	13	)	)	PUNCT
aiti-5290	131	14	(	(	PUNCT
aiti-5290	131	15	)	)	PUNCT
aiti-5290	131	16	(	(	PUNCT
aiti-5290	131	17	)	)	PUNCT
aiti-5290	132	1	[	[	X
aiti-5290	132	2	(	(	PUNCT
aiti-5290	132	3	)	)	PUNCT
aiti-5290	132	4	]	]	PUNCT
aiti-5290	132	5	(	(	PUNCT
aiti-5290	132	6	1/	1/	NUM
aiti-5290	132	7	2	2	NUM
aiti-5290	132	8	)	)	PUNCT
aiti-5290	132	9	[	[	PUNCT
aiti-5290	132	10	(	(	PUNCT
aiti-5290	132	11	)	)	PUNCT
aiti-5290	132	12	]	]	PUNCT
aiti-5290	133	1	x	x	PUNCT
aiti-5290	133	2	z	z	NOUN
aiti-5290	134	1	yy	yy	INTJ
aiti-5290	134	2	xx	xx	NUM
aiti-5290	135	1	yy	yy	INTJ
aiti-5290	135	2	yy	yy	INTJ
aiti-5290	136	1	zz	zz	INTJ
aiti-5290	137	1	x	x	PUNCT
aiti-5290	137	2	x	x	PUNCT
aiti-5290	138	1	l	l	NOUN
aiti-5290	138	2	g	g	NOUN
aiti-5290	138	3	d	d	PROPN
aiti-5290	138	4	w	w	PROPN
aiti-5290	138	5	d	d	X
aiti-5290	138	6	v	v	PROPN
aiti-5290	138	7	d	d	X
aiti-5290	138	8	w	w	PROPN
aiti-5290	138	9	v	v	PROPN
aiti-5290	138	10	v	v	PROPN
aiti-5290	138	11	w	w	PROPN
aiti-5290	138	12	w	w	PROPN
aiti-5290	138	13	d	d	PROPN
aiti-5290	139	1	d	d	PROPN
aiti-5290	139	2	v	v	PROPN
aiti-5290	139	3	w	w	PROPN
aiti-5290	139	4	v	v	PROPN
aiti-5290	139	5	w	w	PROPN
aiti-5290	139	6	v	v	ADP
aiti-5290	139	7	dx	dx	PROPN
aiti-5290	139	8	w	w	PROPN
aiti-5290	139	9	m	m	PROPN
aiti-5290	139	10	v	v	PROPN
aiti-5290	139	11	w	w	PROPN
aiti-5290	139	12	dx	dx	PROPN
aiti-5290	139	13	dx	dx	PROPN
aiti-5290	139	14	γ	γ	PROPN
aiti-5290	139	15	γ	γ	X
aiti-5290	139	16	γ′′	γ′′	PROPN
aiti-5290	139	17	′	′	NUM
aiti-5290	139	18	′	′	NUM
aiti-5290	140	1	′′	′′	NOUN
aiti-5290	140	2	′	′	NOUN
aiti-5290	140	3	′	′	NUM
aiti-5290	141	1	′′	′′	NOUN
aiti-5290	141	2	′	′	NUM
aiti-5290	142	1	′′	′′	PROPN
aiti-5290	142	2	′	′	NUM
aiti-5290	143	1	′′	′′	PROPN
aiti-5290	143	2	′′	′′	PROPN
aiti-5290	143	3	′	′	NOUN
aiti-5290	143	4	′′′	′′′	VERB
aiti-5290	144	1	′′	′′	PROPN
aiti-5290	144	2	′=	′=	NOUN
aiti-5290	144	3	−	−	PROPN
aiti-5290	145	1	+	+	CCONJ
aiti-5290	145	2	−	−	PROPN
aiti-5290	146	1	+	+	CCONJ
aiti-5290	147	1	+	+	CCONJ
aiti-5290	147	2	−	−	X
aiti-5290	148	1	+	+	CCONJ
aiti-5290	148	2	+	+	NUM
aiti-5290	148	3	′	′	NUM
aiti-5290	148	4	′	′	NUM
aiti-5290	148	5	′−	′−	PROPN
aiti-5290	149	1	+	+	CCONJ
aiti-5290	150	1	∫	∫	PROPN
aiti-5290	150	2	∫	∫	PROPN
aiti-5290	150	3	∫	∫	PROPN
aiti-5290	150	4	ɺɺ	ɺɺ	PROPN
aiti-5290	150	5	(	(	PUNCT
aiti-5290	150	6	5	5	NUM
aiti-5290	150	7	)	)	SYM
aiti-5290	150	8	2	2	NUM
aiti-5290	150	9	2	2	NUM
aiti-5290	150	10	2	2	NUM
aiti-5290	150	11	2	2	NUM
aiti-5290	150	12	0	0	NUM
aiti-5290	150	13	(	(	PUNCT
aiti-5290	150	14	)	)	PUNCT
aiti-5290	150	15	(	(	PUNCT
aiti-5290	150	16	)	)	PUNCT
aiti-5290	151	1	[	[	X
aiti-5290	151	2	(	(	PUNCT
aiti-5290	151	3	)	)	PUNCT
aiti-5290	151	4	]	]	PUNCT
aiti-5290	152	1	[	[	X
aiti-5290	152	2	(	(	PUNCT
aiti-5290	152	3	)	)	PUNCT
aiti-5290	152	4	(	(	PUNCT
aiti-5290	152	5	)	)	PUNCT
aiti-5290	152	6	]	]	PUNCT
aiti-5290	152	7	(	(	PUNCT
aiti-5290	152	8	)	)	PUNCT
aiti-5290	152	9	[	[	X
aiti-5290	152	10	(	(	PUNCT
aiti-5290	152	11	)	)	PUNCT
aiti-5290	152	12	]	]	PUNCT
aiti-5290	152	13	x	x	PUNCT
aiti-5290	153	1	x	x	X
aiti-5290	153	2	xx	xx	NUM
aiti-5290	153	3	zz	zz	INTJ
aiti-5290	153	4	yy	yy	INTJ
aiti-5290	153	5	x	x	PUNCT
aiti-5290	153	6	y	y	PROPN
aiti-5290	153	7	z	z	NOUN
aiti-5290	153	8	g	g	PROPN
aiti-5290	154	1	d	d	PROPN
aiti-5290	154	2	d	d	PROPN
aiti-5290	154	3	d	d	X
aiti-5290	154	4	v	v	PROPN
aiti-5290	154	5	w	w	PROPN
aiti-5290	154	6	v	v	PROPN
aiti-5290	154	7	w	w	PROPN
aiti-5290	154	8	j	j	PROPN
aiti-5290	154	9	v	v	PROPN
aiti-5290	154	10	w	w	PROPN
aiti-5290	154	11	dx	dx	PROPN
aiti-5290	154	12	v	v	PROPN
aiti-5290	154	13	w	w	PROPN
aiti-5290	154	14	j	j	PROPN
aiti-5290	154	15	j	j	PROPN
aiti-5290	154	16	v	v	PROPN
aiti-5290	154	17	w	w	PROPN
aiti-5290	154	18	w	w	PROPN
aiti-5290	154	19	vγ	vγ	PROPN
aiti-5290	154	20	γ	γ	X
aiti-5290	154	21	γ′	γ′	PROPN
aiti-5290	154	22	′	′	NUM
aiti-5290	154	23	′′	′′	PROPN
aiti-5290	154	24	′′	′′	PROPN
aiti-5290	154	25	′′	′′	PROPN
aiti-5290	154	26	′′	′′	PROPN
aiti-5290	154	27	′′	′′	PROPN
aiti-5290	154	28	′	′	NUM
aiti-5290	155	1	′	′	NUM
aiti-5290	156	1	′	′	NUM
aiti-5290	157	1	′	′	NUM
aiti-5290	158	1	′	′	NUM
aiti-5290	159	1	′	′	NUM
aiti-5290	159	2	′=	′=	PROPN
aiti-5290	160	1	+	+	CCONJ
aiti-5290	161	1	−	−	PROPN
aiti-5290	161	2	−	−	NUM
aiti-5290	161	3	−	−	PROPN
aiti-5290	162	1	+	+	CCONJ
aiti-5290	162	2	−	−	PROPN
aiti-5290	163	1	+	+	CCONJ
aiti-5290	163	2	−	−	PROPN
aiti-5290	163	3	−	−	ADP
aiti-5290	164	1	−∫	−∫	NOUN
aiti-5290	164	2	ɺɺ	ɺɺ	NOUN
aiti-5290	165	1	ɺ	ɺ	INTJ
aiti-5290	165	2	ɺ	ɺ	INTJ
aiti-5290	166	1	ɺ	ɺ	NOUN
aiti-5290	166	2	ɺ	ɺ	NOUN
aiti-5290	166	3	ɺ	ɺ	NOUN
aiti-5290	166	4	ɺ	ɺ	NOUN
aiti-5290	166	5	(	(	PUNCT
aiti-5290	166	6	6	6	NUM
aiti-5290	166	7	)	)	PUNCT
aiti-5290	166	8	where	where	SCONJ
aiti-5290	166	9	�	�	NOUN
aiti-5290	166	10	̅	̅	NOUN
aiti-5290	166	11	is	be	AUX
aiti-5290	166	12	the	the	DET
aiti-5290	166	13	position	position	NOUN
aiti-5290	166	14	coordinate	coordinate	NOUN
aiti-5290	166	15	along	along	ADP
aiti-5290	166	16	the	the	DET
aiti-5290	166	17	beam	beam	NOUN
aiti-5290	166	18	in	in	ADP
aiti-5290	166	19	the	the	DET
aiti-5290	166	20	axial	axial	ADJ
aiti-5290	166	21	direction	direction	NOUN
aiti-5290	166	22	,	,	PUNCT
aiti-5290	166	23	�	�	PROPN
aiti-5290	166	24	̅	̅	NOUN
aiti-5290	166	25	is	be	AUX
aiti-5290	166	26	the	the	DET
aiti-5290	166	27	beam	beam	NOUN
aiti-5290	166	28	length	length	NOUN
aiti-5290	166	29	,	,	PUNCT
aiti-5290	166	30	�	�	PROPN
aiti-5290	166	31	�	�	PROPN
aiti-5290	166	32	�	�	PROPN
aiti-5290	166	33	=	=	SYM
aiti-5290	166	34	�	�	PROPN
aiti-5290	166	35	�	�	PROPN
aiti-5290	166	36	�	�	NOUN
aiti-5290	166	37	̅	̅	NOUN
aiti-5290	166	38	,	,	PUNCT
aiti-5290	166	39	�	�	PROPN
aiti-5290	166	40	�	�	PROPN
aiti-5290	166	41	�	�	PROPN
aiti-5290	166	42	=	=	SYM
aiti-5290	166	43	�	�	PROPN
aiti-5290	166	44	�	�	PROPN
aiti-5290	166	45	�	�	NOUN
aiti-5290	166	46	̅	̅	NOUN
aiti-5290	166	47	,	,	PUNCT
aiti-5290	166	48	�	�	PROPN
aiti-5290	166	49	�	�	PROPN
aiti-5290	166	50	�	�	PROPN
aiti-5290	166	51	=	=	SYM
aiti-5290	166	52	�	�	PROPN
aiti-5290	166	53	�	�	PROPN
aiti-5290	166	54	�	�	NOUN
aiti-5290	166	55	̅	̅	NOUN
aiti-5290	166	56	,	,	PUNCT
aiti-5290	166	57	and	and	CCONJ
aiti-5290	166	58	g	g	NOUN
aiti-5290	166	59	is	be	AUX
aiti-5290	166	60	the	the	DET
aiti-5290	166	61	elastic	elastic	ADJ
aiti-5290	166	62	shear	shear	NOUN
aiti-5290	166	63	modulus	modulus	NOUN
aiti-5290	166	64	and	and	CCONJ
aiti-5290	166	65	e	e	NOUN
aiti-5290	166	66	is	be	AUX
aiti-5290	166	67	young	young	ADJ
aiti-5290	166	68	’s	’s	PART
aiti-5290	166	69	modulus	modulus	NOUN
aiti-5290	166	70	.	.	PUNCT
aiti-5290	167	1	the	the	DET
aiti-5290	167	2	�	�	PROPN
aiti-5290	167	3	�	�	NOUN
aiti-5290	167	4	̅	̅	NOUN
aiti-5290	167	5	,	,	PUNCT
aiti-5290	167	6	�	�	PROPN
aiti-5290	167	7	,	,	PUNCT
aiti-5290	167	8	�	�	PROPN
aiti-5290	167	9	represent	represent	VERB
aiti-5290	167	10	the	the	DET
aiti-5290	167	11	area	area	NOUN
aiti-5290	167	12	moment	moment	NOUN
aiti-5290	167	13	of	of	ADP
aiti-5290	167	14	inertia	inertia	NOUN
aiti-5290	167	15	in	in	ADP
aiti-5290	167	16	the	the	DET
aiti-5290	167	17	x-	x-	PROPN
aiti-5290	167	18	,	,	PUNCT
aiti-5290	167	19	y-	y-	X
aiti-5290	167	20	,	,	PUNCT
aiti-5290	167	21	and	and	CCONJ
aiti-5290	167	22	z	z	NOUN
aiti-5290	167	23	-	-	PUNCT
aiti-5290	167	24	directions	direction	NOUN
aiti-5290	167	25	,	,	PUNCT
aiti-5290	167	26	respectively	respectively	ADV
aiti-5290	167	27	.	.	PUNCT
aiti-5290	168	1	the	the	DET
aiti-5290	168	2	dimensionless	dimensionless	NOUN
aiti-5290	168	3	coefficients	coefficient	NOUN
aiti-5290	168	4	are	be	AUX
aiti-5290	168	5	defined	define	VERB
aiti-5290	168	6	as	as	SCONJ
aiti-5290	168	7	follows	follow	VERB
aiti-5290	168	8	:	:	PUNCT
aiti-5290	168	9	4	4	NUM
aiti-5290	168	10	2	2	NUM
aiti-5290	168	11	2	2	NUM
aiti-5290	168	12	2	2	NUM
aiti-5290	168	13	2	2	NUM
aiti-5290	168	14	2	2	NUM
aiti-5290	168	15	xy	xy	PROPN
aiti-5290	168	16	zy	zy	PROPN
aiti-5290	168	17	/	/	SYM
aiti-5290	168	18	1	1	NUM
aiti-5290	168	19	,	,	PUNCT
aiti-5290	168	20	/	/	SYM
aiti-5290	168	21	,	,	PUNCT
aiti-5290	168	22	/	/	SYM
aiti-5290	168	23	,	,	PUNCT
aiti-5290	168	24	/	/	SYM
aiti-5290	168	25	/	/	SYM
aiti-5290	168	26	,	,	PUNCT
aiti-5290	168	27	/	/	SYM
aiti-5290	168	28	,	,	PUNCT
aiti-5290	168	29	/	/	SYM
aiti-5290	168	30	/	/	SYM
aiti-5290	168	31	,	,	PUNCT
aiti-5290	168	32	/	/	SYM
aiti-5290	168	33	,	,	PUNCT
aiti-5290	168	34	/	/	SYM
aiti-5290	168	35	,	,	PUNCT
aiti-5290	168	36	/	/	SYM
aiti-5290	169	1	yy	yy	NOUN
aiti-5290	169	2	y	y	NOUN
aiti-5290	169	3	y	y	PROPN
aiti-5290	169	4	yy	yy	INTJ
aiti-5290	169	5	z	z	NOUN
aiti-5290	170	1	z	z	NOUN
aiti-5290	170	2	yy	yy	INTJ
aiti-5290	171	1	x	x	PUNCT
aiti-5290	171	2	x	x	PUNCT
aiti-5290	171	3	yy	yy	INTJ
aiti-5290	171	4	x	x	PUNCT
aiti-5290	171	5	x	x	PUNCT
aiti-5290	171	6	x	x	PUNCT
aiti-5290	171	7	y	y	VERB
aiti-5290	171	8	y	y	PROPN
aiti-5290	171	9	z	z	PROPN
aiti-5290	171	10	z	z	NOUN
aiti-5290	172	1	xx	xx	NUM
aiti-5290	173	1	yy	yy	INTJ
aiti-5290	173	2	zz	zz	INTJ
aiti-5290	174	1	yy	yy	PRON
aiti-5290	174	2	l	l	NOUN
aiti-5290	175	1	l	l	X
aiti-5290	175	2	l	l	NOUN
aiti-5290	175	3	x	x	PUNCT
aiti-5290	175	4	x	x	PUNCT
aiti-5290	175	5	l	l	NOUN
aiti-5290	175	6	t	t	NOUN
aiti-5290	175	7	t	t	X
aiti-5290	175	8	d	d	X
aiti-5290	175	9	ml	ml	PROPN
aiti-5290	175	10	c	c	PROPN
aiti-5290	175	11	c	c	PROPN
aiti-5290	175	12	l	l	NOUN
aiti-5290	175	13	md	md	PROPN
aiti-5290	175	14	c	c	PROPN
aiti-5290	175	15	c	c	PROPN
aiti-5290	175	16	l	l	NOUN
aiti-5290	175	17	md	md	PROPN
aiti-5290	175	18	c	c	PROPN
aiti-5290	175	19	c	c	PROPN
aiti-5290	175	20	md	md	PROPN
aiti-5290	175	21	j	j	PROPN
aiti-5290	175	22	j	j	PROPN
aiti-5290	176	1	j	j	PROPN
aiti-5290	176	2	ml	ml	PROPN
aiti-5290	176	3	j	j	PROPN
aiti-5290	176	4	j	j	PROPN
aiti-5290	176	5	ml	ml	PROPN
aiti-5290	176	6	j	j	PROPN
aiti-5290	176	7	j	j	PROPN
aiti-5290	176	8	ml	ml	PROPN
aiti-5290	176	9	d	d	PROPN
aiti-5290	176	10	d	d	PROPN
aiti-5290	176	11	d	d	PROPN
aiti-5290	176	12	dµ	dµ	ADP
aiti-5290	176	13	µ	µ	NUM
aiti-5290	176	14			NOUN
aiti-5290	176	15	=	=	PUNCT
aiti-5290	176	16	=	=	PUNCT
aiti-5290	176	17	=	=	PUNCT
aiti-5290	176	18	=	=	PUNCT
aiti-5290	176	19	=	=	PUNCT
aiti-5290	176	20			X
aiti-5290	176	21			NOUN
aiti-5290	176	22	=	=	SYM
aiti-5290	177	1	=	=	PUNCT
aiti-5290	177	2	=	=	NOUN
aiti-5290	177	3			X
aiti-5290	177	4			NOUN
aiti-5290	177	5	=	=	SYM
aiti-5290	177	6	=	=	PUNCT
aiti-5290	178	1	=	=	PUNCT
aiti-5290	178	2	=	=	NOUN
aiti-5290	178	3			X
aiti-5290	178	4	(	(	PUNCT
aiti-5290	178	5	7	7	X
aiti-5290	178	6	)	)	PUNCT
aiti-5290	178	7	to	to	PART
aiti-5290	178	8	simplify	simplify	VERB
aiti-5290	178	9	the	the	DET
aiti-5290	178	10	notation	notation	NOUN
aiti-5290	178	11	,	,	PUNCT
aiti-5290	178	12	the	the	DET
aiti-5290	178	13	symbols	symbol	NOUN
aiti-5290	178	14	for	for	ADP
aiti-5290	178	15	the	the	DET
aiti-5290	178	16	dimensionless	dimensionless	ADJ
aiti-5290	178	17	displacement	displacement	NOUN
aiti-5290	178	18	of	of	ADP
aiti-5290	178	19	the	the	DET
aiti-5290	178	20	beam	beam	NOUN
aiti-5290	178	21	were	be	AUX
aiti-5290	178	22	used	use	VERB
aiti-5290	178	23	as	as	ADP
aiti-5290	178	24	the	the	DET
aiti-5290	178	25	same	same	ADJ
aiti-5290	178	26	as	as	ADP
aiti-5290	178	27	the	the	DET
aiti-5290	178	28	three	three	NUM
aiti-5290	178	29	axes	axis	NOUN
aiti-5290	178	30	.	.	PUNCT
aiti-5290	179	1	in	in	ADP
aiti-5290	179	2	other	other	ADJ
aiti-5290	179	3	words	word	NOUN
aiti-5290	179	4	,	,	PUNCT
aiti-5290	179	5	y	y	PROPN
aiti-5290	179	6	and	and	CCONJ
aiti-5290	179	7	z	z	PROPN
aiti-5290	179	8	are	be	AUX
aiti-5290	179	9	respectively	respectively	ADV
aiti-5290	179	10	used	use	VERB
aiti-5290	179	11	to	to	PART
aiti-5290	179	12	represent	represent	VERB
aiti-5290	179	13	the	the	DET
aiti-5290	179	14	transverse	transverse	NOUN
aiti-5290	179	15	(	(	PUNCT
aiti-5290	179	16	transverse	transverse	NOUN
aiti-5290	179	17	dir	dir	NOUN
aiti-5290	179	18	.	.	PUNCT
aiti-5290	179	19	,	,	PUNCT
aiti-5290	179	20	�	�	PROPN
aiti-5290	179	21	=	=	SYM
aiti-5290	179	22	�	�	PROPN
aiti-5290	179	23	/	/	SYM
aiti-5290	179	24	�	�	PROPN
aiti-5290	179	25	)̅	)̅	PUNCT
aiti-5290	179	26	and	and	CCONJ
aiti-5290	179	27	lateral	lateral	ADJ
aiti-5290	179	28	(	(	PUNCT
aiti-5290	179	29	side	side	NOUN
aiti-5290	179	30	dir	dir	NOUN
aiti-5290	179	31	.	.	PUNCT
aiti-5290	179	32	,	,	PUNCT
aiti-5290	179	33	�	�	PROPN
aiti-5290	179	34	=	=	SYM
aiti-5290	179	35	�	�	PROPN
aiti-5290	179	36	/	/	SYM
aiti-5290	179	37	�	�	PROPN
aiti-5290	179	38	)̅	)̅	PUNCT
aiti-5290	179	39	dimensionless	dimensionless	NOUN
aiti-5290	179	40	displacement	displacement	NOUN
aiti-5290	179	41	functions	function	NOUN
aiti-5290	179	42	to	to	PART
aiti-5290	179	43	avoid	avoid	VERB
aiti-5290	179	44	influencing	influence	VERB
aiti-5290	179	45	the	the	DET
aiti-5290	179	46	derivation	derivation	NOUN
aiti-5290	179	47	of	of	ADP
aiti-5290	179	48	the	the	DET
aiti-5290	179	49	theoretical	theoretical	ADJ
aiti-5290	179	50	model	model	NOUN
aiti-5290	179	51	and	and	CCONJ
aiti-5290	179	52	to	to	PART
aiti-5290	179	53	maintain	maintain	VERB
aiti-5290	179	54	consistency	consistency	NOUN
aiti-5290	179	55	in	in	ADP
aiti-5290	179	56	the	the	DET
aiti-5290	179	57	overall	overall	ADJ
aiti-5290	179	58	equations	equation	NOUN
aiti-5290	179	59	of	of	ADP
aiti-5290	179	60	motion	motion	NOUN
aiti-5290	179	61	.	.	PUNCT
aiti-5290	180	1	therefore	therefore	ADV
aiti-5290	180	2	,	,	PUNCT
aiti-5290	180	3	the	the	DET
aiti-5290	180	4	3d	3d	ADJ
aiti-5290	180	5	flexural	flexural	ADJ
aiti-5290	180	6	-	-	PUNCT
aiti-5290	180	7	flexural	flexural	ADJ
aiti-5290	180	8	-	-	PUNCT
aiti-5290	180	9	torsional	torsional	NOUN
aiti-5290	180	10	vibration	vibration	NOUN
aiti-5290	180	11	of	of	ADP
aiti-5290	180	12	uniform	uniform	ADJ
aiti-5290	180	13	isotropic	isotropic	NOUN
aiti-5290	180	14	beam	beam	NOUN
aiti-5290	180	15	equation	equation	NOUN
aiti-5290	180	16	can	can	AUX
aiti-5290	180	17	be	be	AUX
aiti-5290	180	18	written	write	VERB
aiti-5290	180	19	as	as	ADP
aiti-5290	180	20	:	:	PUNCT
aiti-5290	180	21	2	2	NUM
aiti-5290	180	22	0	0	NUM
aiti-5290	180	23	2	2	NUM
aiti-5290	180	24	2	2	NUM
aiti-5290	180	25	1	1	NUM
aiti-5290	180	26	0	0	NUM
aiti-5290	180	27	(	(	PUNCT
aiti-5290	180	28	)	)	PUNCT
aiti-5290	180	29	[	[	PUNCT
aiti-5290	180	30	(	(	PUNCT
aiti-5290	180	31	)	)	PUNCT
aiti-5290	180	32	]	]	PUNCT
aiti-5290	181	1	(	(	PUNCT
aiti-5290	181	2	1	1	X
aiti-5290	181	3	)	)	PUNCT
aiti-5290	181	4	[	[	X
aiti-5290	181	5	(	(	PUNCT
aiti-5290	181	6	)	)	PUNCT
aiti-5290	181	7	]	]	PUNCT
aiti-5290	181	8	1	1	X
aiti-5290	181	9	{	{	PUNCT
aiti-5290	181	10	[	[	PUNCT
aiti-5290	181	11	(	(	PUNCT
aiti-5290	181	12	)	)	PUNCT
aiti-5290	181	13	]	]	PUNCT
aiti-5290	181	14	}	}	PUNCT
aiti-5290	181	15	2	2	NUM
aiti-5290	181	16	x	x	SYM
aiti-5290	181	17	iv	iv	NOUN
aiti-5290	181	18	zy	zy	INTJ
aiti-5290	181	19	y	y	PROPN
aiti-5290	181	20	xy	xy	INTJ
aiti-5290	181	21	zy	zy	INTJ
aiti-5290	181	22	zy	zy	INTJ
aiti-5290	181	23	x	x	PUNCT
aiti-5290	181	24	x	x	VERB
aiti-5290	181	25	y	y	VERB
aiti-5290	181	26	y	y	PROPN
aiti-5290	181	27	y	y	PROPN
aiti-5290	181	28	c	c	PROPN
aiti-5290	181	29	y	y	PROPN
aiti-5290	181	30	z	z	PROPN
aiti-5290	181	31	y	y	PROPN
aiti-5290	181	32	y	y	PROPN
aiti-5290	181	33	y	y	PROPN
aiti-5290	181	34	z	z	PROPN
aiti-5290	181	35	z	z	VERB
aiti-5290	181	36	y	y	PROPN
aiti-5290	181	37	z	z	NOUN
aiti-5290	181	38	z	z	NOUN
aiti-5290	181	39	y	y	PROPN
aiti-5290	182	1	z	z	NOUN
aiti-5290	182	2	dx	dx	PROPN
aiti-5290	183	1	y	y	PROPN
aiti-5290	183	2	y	y	PROPN
aiti-5290	183	3	z	z	PROPN
aiti-5290	183	4	dx	dx	PROPN
aiti-5290	183	5	dx	dx	PROPN
aiti-5290	183	6	f	f	PROPN
aiti-5290	183	7	µ	µ	PROPN
aiti-5290	183	8	µ	µ	X
aiti-5290	183	9	γ	γ	X
aiti-5290	183	10	µ	µ	X
aiti-5290	183	11	µ	µ	X
aiti-5290	183	12	γ	γ	X
aiti-5290	183	13	γ′	γ′	PUNCT
aiti-5290	183	14	′′	′′	NOUN
aiti-5290	183	15	′	′	NOUN
aiti-5290	183	16	′	′	NUM
aiti-5290	183	17	′	′	NUM
aiti-5290	184	1	′′	′′	NOUN
aiti-5290	184	2	′	′	NOUN
aiti-5290	185	1	′′	′′	PROPN
aiti-5290	185	2	′	′	NOUN
aiti-5290	185	3	′	′	NUM
aiti-5290	186	1	′′	′′	PROPN
aiti-5290	186	2	′′	′′	PROPN
aiti-5290	186	3	′	′	NOUN
aiti-5290	186	4	′′′	′′′	VERB
aiti-5290	187	1	′′	′′	NOUN
aiti-5290	187	2	′	′	NOUN
aiti-5290	187	3	′+	′+	PUNCT
aiti-5290	187	4	=	=	PUNCT
aiti-5290	188	1	−	−	NOUN
aiti-5290	188	2	−	−	NOUN
aiti-5290	189	1	−	−	PROPN
aiti-5290	190	1	+	+	CCONJ
aiti-5290	190	2	−	−	PROPN
aiti-5290	190	3	−	−	NUM
aiti-5290	191	1	−	−	PROPN
aiti-5290	192	1	+	+	CCONJ
aiti-5290	192	2	′	′	NUM
aiti-5290	192	3	′	′	NUM
aiti-5290	192	4	′	′	NUM
aiti-5290	193	1	′−	′−	PROPN
aiti-5290	194	1	+	+	PUNCT
aiti-5290	195	1	+	+	CCONJ
aiti-5290	195	2	∫	∫	PROPN
aiti-5290	195	3	∫	∫	PROPN
aiti-5290	195	4	∫	∫	PROPN
aiti-5290	195	5	ɺɺ	ɺɺ	PROPN
aiti-5290	196	1	ɺ	ɺ	PROPN
aiti-5290	196	2	ɺɺ	ɺɺ	PROPN
aiti-5290	196	3	(	(	PUNCT
aiti-5290	196	4	8)	8)	NUM
aiti-5290	196	5	2	2	NUM
aiti-5290	196	6	0	0	NUM
aiti-5290	196	7	2	2	NUM
aiti-5290	196	8	2	2	NUM
aiti-5290	196	9	1	1	NUM
aiti-5290	196	10	0	0	NUM
aiti-5290	196	11	(	(	PUNCT
aiti-5290	196	12	)	)	PUNCT
aiti-5290	196	13	[	[	PUNCT
aiti-5290	196	14	(	(	PUNCT
aiti-5290	196	15	)	)	PUNCT
aiti-5290	196	16	]	]	PUNCT
aiti-5290	196	17	(	(	PUNCT
aiti-5290	196	18	1	1	X
aiti-5290	196	19	)	)	PUNCT
aiti-5290	196	20	[	[	X
aiti-5290	196	21	(	(	PUNCT
aiti-5290	196	22	)	)	PUNCT
aiti-5290	196	23	]	]	PUNCT
aiti-5290	196	24	1	1	X
aiti-5290	196	25	{	{	PUNCT
aiti-5290	196	26	[	[	PUNCT
aiti-5290	196	27	(	(	PUNCT
aiti-5290	196	28	)	)	PUNCT
aiti-5290	196	29	]	]	PUNCT
aiti-5290	196	30	}	}	PUNCT
aiti-5290	196	31	2	2	NUM
aiti-5290	196	32	x	x	SYM
aiti-5290	196	33	iv	iv	ADP
aiti-5290	196	34	z	z	NOUN
aiti-5290	196	35	xy	xy	INTJ
aiti-5290	196	36	zy	zy	INTJ
aiti-5290	196	37	x	x	PUNCT
aiti-5290	196	38	x	x	X
aiti-5290	196	39	z	z	NOUN
aiti-5290	196	40	z	z	NOUN
aiti-5290	196	41	z	z	NOUN
aiti-5290	196	42	c	c	NOUN
aiti-5290	196	43	z	z	NOUN
aiti-5290	196	44	y	y	PROPN
aiti-5290	196	45	z	z	PROPN
aiti-5290	196	46	y	y	PROPN
aiti-5290	196	47	y	y	PROPN
aiti-5290	196	48	z	z	PROPN
aiti-5290	196	49	z	z	VERB
aiti-5290	196	50	y	y	PROPN
aiti-5290	196	51	z	z	VERB
aiti-5290	196	52	y	y	PROPN
aiti-5290	197	1	y	y	PROPN
aiti-5290	198	1	z	z	PROPN
aiti-5290	199	1	dx	dx	PROPN
aiti-5290	200	1	z	z	PROPN
aiti-5290	200	2	y	y	PROPN
aiti-5290	200	3	z	z	PROPN
aiti-5290	200	4	dx	dx	PROPN
aiti-5290	200	5	dx	dx	PROPN
aiti-5290	200	6	f	f	PROPN
aiti-5290	200	7	µ	µ	PROPN
aiti-5290	200	8	γ	γ	X
aiti-5290	200	9	µ	µ	X
aiti-5290	200	10	γ	γ	X
aiti-5290	200	11	γ′	γ′	PUNCT
aiti-5290	200	12	′′	′′	NOUN
aiti-5290	200	13	′	′	NOUN
aiti-5290	200	14	′	′	NUM
aiti-5290	200	15	′	′	NUM
aiti-5290	201	1	′′	′′	NOUN
aiti-5290	201	2	′	′	NOUN
aiti-5290	202	1	′′	′′	PROPN
aiti-5290	202	2	′	′	NOUN
aiti-5290	202	3	′	′	NUM
aiti-5290	203	1	′′	′′	PROPN
aiti-5290	203	2	′′	′′	PROPN
aiti-5290	203	3	′	′	NUM
aiti-5290	204	1	′′′	′′′	INTJ
aiti-5290	204	2	′	′	NUM
aiti-5290	205	1	′′	′′	NOUN
aiti-5290	205	2	′+	′+	PUNCT
aiti-5290	205	3	=	=	PUNCT
aiti-5290	206	1	−	−	PROPN
aiti-5290	207	1	+	+	CCONJ
aiti-5290	207	2	−	−	PROPN
aiti-5290	208	1	+	+	CCONJ
aiti-5290	209	1	+	+	CCONJ
aiti-5290	209	2	−	−	X
aiti-5290	210	1	+	+	CCONJ
aiti-5290	210	2	+	+	CCONJ
aiti-5290	210	3	′	′	NUM
aiti-5290	210	4	′	′	NUM
aiti-5290	210	5	′	′	NUM
aiti-5290	211	1	′−	′−	PROPN
aiti-5290	212	1	+	+	PUNCT
aiti-5290	213	1	+	+	CCONJ
aiti-5290	213	2	∫	∫	PROPN
aiti-5290	213	3	∫	∫	PROPN
aiti-5290	213	4	∫	∫	PROPN
aiti-5290	213	5	ɺɺ	ɺɺ	PROPN
aiti-5290	214	1	ɺ	ɺ	PROPN
aiti-5290	214	2	ɺɺ	ɺɺ	PROPN
aiti-5290	214	3	(	(	PUNCT
aiti-5290	214	4	9	9	NUM
aiti-5290	214	5	)	)	SYM
aiti-5290	214	6	2	2	NUM
aiti-5290	214	7	2	2	NUM
aiti-5290	214	8	2	2	NUM
aiti-5290	214	9	2	2	NUM
aiti-5290	214	10	0	0	NUM
aiti-5290	214	11	1	1	NUM
aiti-5290	214	12	(	(	PUNCT
aiti-5290	214	13	)	)	PUNCT
aiti-5290	214	14	(	(	PUNCT
aiti-5290	214	15	)	)	PUNCT
aiti-5290	214	16	(	(	PUNCT
aiti-5290	214	17	)	)	PUNCT
aiti-5290	214	18	(	(	PUNCT
aiti-5290	214	19	)	)	PUNCT
aiti-5290	214	20	xxy	xxy	PROPN
aiti-5290	214	21	zy	zy	PROPN
aiti-5290	214	22	y	y	PROPN
aiti-5290	214	23	z	z	PROPN
aiti-5290	214	24	x	x	PUNCT
aiti-5290	214	25	x	x	PUNCT
aiti-5290	214	26	x	x	PUNCT
aiti-5290	214	27	x	x	PUNCT
aiti-5290	214	28	x	x	X
aiti-5290	214	29	j	j	PROPN
aiti-5290	214	30	j	j	PROPN
aiti-5290	214	31	c	c	PROPN
aiti-5290	214	32	y	y	PROPN
aiti-5290	214	33	z	z	PROPN
aiti-5290	214	34	y	y	PROPN
aiti-5290	214	35	z	z	VERB
aiti-5290	214	36	y	y	PROPN
aiti-5290	214	37	z	z	PROPN
aiti-5290	214	38	dx	dx	PROPN
aiti-5290	215	1	y	y	PROPN
aiti-5290	215	2	z	z	PROPN
aiti-5290	215	3	y	y	PROPN
aiti-5290	215	4	z	z	VERB
aiti-5290	215	5	y	y	PROPN
aiti-5290	215	6	z	z	NOUN
aiti-5290	215	7	m	m	VERB
aiti-5290	215	8	j	j	PROPN
aiti-5290	215	9	j	j	PROPN
aiti-5290	215	10	j	j	PROPN
aiti-5290	215	11	µ	µ	X
aiti-5290	215	12	µ	µ	X
aiti-5290	215	13	γ	γ	X
aiti-5290	215	14	γ	γ	PROPN
aiti-5290	215	15	γ	γ	PROPN
aiti-5290	215	16	γ	γ	PROPN
aiti-5290	215	17	γ	γ	X
aiti-5290	215	18	γ	γ	X
aiti-5290	215	19	γ	γ	X
aiti-5290	215	20	−	−	PROPN
aiti-5290	215	21	−	−	PROPN
aiti-5290	215	22	′′	′′	PROPN
aiti-5290	215	23	′′	′′	PROPN
aiti-5290	215	24	′′	′′	PROPN
aiti-5290	215	25	′′	′′	PROPN
aiti-5290	215	26	′′	′′	PROPN
aiti-5290	215	27	′′	′′	PROPN
aiti-5290	216	1	′	′	NUM
aiti-5290	217	1	′	′	NUM
aiti-5290	218	1	′	′	NUM
aiti-5290	219	1	′	′	NUM
aiti-5290	220	1	′	′	NUM
aiti-5290	221	1	′	′	NUM
aiti-5290	221	2	′−	′−	PROPN
aiti-5290	221	3	=	=	PUNCT
aiti-5290	222	1	−	−	PROPN
aiti-5290	223	1	+	+	CCONJ
aiti-5290	223	2	−	−	PROPN
aiti-5290	223	3	−	−	PROPN
aiti-5290	224	1	+	+	CCONJ
aiti-5290	224	2	−	−	PROPN
aiti-5290	225	1	+	+	CCONJ
aiti-5290	225	2	−	−	PROPN
aiti-5290	225	3	−	−	X
aiti-5290	226	1	+	+	NOUN
aiti-5290	226	2	∫ɺɺ	∫ɺɺ	NOUN
aiti-5290	226	3	ɺ	ɺ	X
aiti-5290	226	4	ɺɺ	ɺɺ	PRON
aiti-5290	226	5	ɺ	ɺ	INTJ
aiti-5290	226	6	ɺ	ɺ	INTJ
aiti-5290	226	7	ɺ	ɺ	INTJ
aiti-5290	226	8	ɺɺ	ɺɺ	PROPN
aiti-5290	226	9	ɺ	ɺ	PROPN
aiti-5290	226	10	(	(	PUNCT
aiti-5290	226	11	10	10	NUM
aiti-5290	226	12	)	)	PUNCT
aiti-5290	226	13	in	in	ADP
aiti-5290	226	14	addition	addition	NOUN
aiti-5290	226	15	,	,	PUNCT
aiti-5290	226	16	the	the	DET
aiti-5290	226	17	cross	cross	NOUN
aiti-5290	226	18	-	-	NOUN
aiti-5290	226	19	section	section	NOUN
aiti-5290	226	20	of	of	ADP
aiti-5290	226	21	the	the	DET
aiti-5290	226	22	beam	beam	NOUN
aiti-5290	226	23	in	in	ADP
aiti-5290	226	24	this	this	DET
aiti-5290	226	25	study	study	NOUN
aiti-5290	226	26	is	be	AUX
aiti-5290	226	27	a	a	DET
aiti-5290	226	28	circle	circle	NOUN
aiti-5290	226	29	,	,	PUNCT
aiti-5290	226	30	and	and	CCONJ
aiti-5290	226	31	the	the	DET
aiti-5290	226	32	ratio	ratio	NOUN
aiti-5290	226	33	of	of	ADP
aiti-5290	226	34	the	the	DET
aiti-5290	226	35	lateral	lateral	ADJ
aiti-5290	226	36	area	area	NOUN
aiti-5290	226	37	moments	moment	NOUN
aiti-5290	226	38	of	of	ADP
aiti-5290	226	39	inertia	inertia	NOUN
aiti-5290	226	40	is	be	AUX
aiti-5290	226	41	equal	equal	ADJ
aiti-5290	226	42	to	to	ADP
aiti-5290	226	43	1	1	NUM
aiti-5290	226	44	,	,	PUNCT
aiti-5290	226	45	which	which	PRON
aiti-5290	226	46	means	mean	VERB
aiti-5290	226	47	that	that	SCONJ
aiti-5290	226	48	�	�	PROPN
aiti-5290	226	49	�	�	PROPN
aiti-5290	226	50	=	=	SYM
aiti-5290	226	51	1	1	NUM
aiti-5290	226	52	.	.	PUNCT
aiti-5290	227	1	the	the	DET
aiti-5290	227	2	structural	structural	ADJ
aiti-5290	227	3	damping	damp	VERB
aiti-5290	227	4	coefficients	coefficient	NOUN
aiti-5290	227	5	are	be	AUX
aiti-5290	227	6	also	also	ADV
aiti-5290	227	7	the	the	DET
aiti-5290	227	8	same	same	ADJ
aiti-5290	227	9	,	,	PUNCT
aiti-5290	227	10	which	which	PRON
aiti-5290	227	11	means	mean	VERB
aiti-5290	227	12	that	that	SCONJ
aiti-5290	227	13	cy=	cy=	PROPN
aiti-5290	227	14	cz	cz	VERB
aiti-5290	227	15	.	.	PUNCT
aiti-5290	228	1	it	it	PRON
aiti-5290	228	2	is	be	AUX
aiti-5290	228	3	noted	note	VERB
aiti-5290	228	4	that	that	SCONJ
aiti-5290	228	5	the	the	DET
aiti-5290	228	6	structural	structural	ADJ
aiti-5290	228	7	damping	damping	NOUN
aiti-5290	228	8	is	be	AUX
aiti-5290	228	9	always	always	ADV
aiti-5290	228	10	used	use	VERB
aiti-5290	228	11	to	to	PART
aiti-5290	228	12	simulate	simulate	VERB
aiti-5290	228	13	a	a	DET
aiti-5290	228	14	solid	solid	ADJ
aiti-5290	228	15	material	material	NOUN
aiti-5290	228	16	when	when	SCONJ
aiti-5290	228	17	it	it	PRON
aiti-5290	228	18	flexes	flex	VERB
aiti-5290	228	19	.	.	PUNCT
aiti-5290	229	1	as	as	ADP
aiti-5290	229	2	for	for	ADP
aiti-5290	229	3	the	the	DET
aiti-5290	229	4	simulation	simulation	NOUN
aiti-5290	229	5	of	of	ADP
aiti-5290	229	6	beam	beam	NOUN
aiti-5290	229	7	vibrations	vibration	NOUN
aiti-5290	229	8	,	,	PUNCT
aiti-5290	229	9	the	the	DET
aiti-5290	229	10	damping	damp	VERB
aiti-5290	229	11	coefficient	coefficient	NOUN
aiti-5290	229	12	is	be	AUX
aiti-5290	229	13	rather	rather	ADV
aiti-5290	229	14	small	small	ADJ
aiti-5290	229	15	,	,	PUNCT
aiti-5290	229	16	and	and	CCONJ
aiti-5290	229	17	cy	cy	PROPN
aiti-5290	229	18	is	be	AUX
aiti-5290	229	19	taken	take	VERB
aiti-5290	229	20	as	as	ADP
aiti-5290	229	21	0.1	0.1	NUM
aiti-5290	229	22	in	in	ADP
aiti-5290	229	23	this	this	DET
aiti-5290	229	24	study	study	NOUN
aiti-5290	229	25	.	.	PUNCT
aiti-5290	230	1	assuming	assume	VERB
aiti-5290	230	2	the	the	DET
aiti-5290	230	3	beam	beam	NOUN
aiti-5290	230	4	is	be	AUX
aiti-5290	230	5	subjected	subject	VERB
aiti-5290	230	6	to	to	ADP
aiti-5290	230	7	a	a	DET
aiti-5290	230	8	distributed	distribute	VERB
aiti-5290	230	9	load	load	NOUN
aiti-5290	230	10	with	with	ADP
aiti-5290	230	11	the	the	DET
aiti-5290	230	12	harmonic	harmonic	ADJ
aiti-5290	230	13	wind	wind	NOUN
aiti-5290	230	14	force	force	NOUN
aiti-5290	230	15	"	"	PUNCT
aiti-5290	230	16	�	�	PROPN
aiti-5290	230	17	,	,	PUNCT
aiti-5290	230	18	�	�	NOUN
aiti-5290	230	19	#	#	NOUN
aiti-5290	230	20	$	$	SYM
aiti-5290	230	21	%	%	NOUN
aiti-5290	230	22	�	�	PROPN
aiti-5290	230	23	&	&	CCONJ
aiti-5290	230	24	,	,	PUNCT
aiti-5290	230	25	'	'	PUNCT
aiti-5290	230	26	(	(	PUNCT
aiti-5290	230	27	̅.	̅.	NOUN
aiti-5290	230	28	its	its	PRON
aiti-5290	230	29	associate	associate	NOUN
aiti-5290	230	30	unsteady	unsteady	ADJ
aiti-5290	230	31	aerodynamic	aerodynamic	ADJ
aiti-5290	230	32	force	force	NOUN
aiti-5290	230	33	�	�	PROPN
aiti-5290	230	34	)	)	PUNCT
aiti-5290	230	35	,	,	PUNCT
aiti-5290	230	36	*	*	PUNCT
aiti-5290	230	37	,	,	PUNCT
aiti-5290	230	38	that	that	ADV
aiti-5290	230	39	is	is	ADV
aiti-5290	230	40	,	,	PUNCT
aiti-5290	230	41	�	�	PROPN
aiti-5290	230	42	�	�	PROPN
aiti-5290	230	43	,	,	PUNCT
aiti-5290	230	44	�	�	PROPN
aiti-5290	230	45	can	can	AUX
aiti-5290	230	46	be	be	AUX
aiti-5290	230	47	expressed	express	VERB
aiti-5290	230	48	as	as	ADP
aiti-5290	230	49	�	�	PROPN
aiti-5290	230	50	�	�	PROPN
aiti-5290	230	51	,	,	PUNCT
aiti-5290	230	52	�	�	PROPN
aiti-5290	230	53	=	=	SYM
aiti-5290	230	54	"	"	PUNCT
aiti-5290	230	55	�	�	PROPN
aiti-5290	230	56	,	,	PUNCT
aiti-5290	230	57	�	�	NOUN
aiti-5290	230	58	#	#	NOUN
aiti-5290	230	59	$	$	SYM
aiti-5290	230	60	%	%	NOUN
aiti-5290	230	61	�	�	PROPN
aiti-5290	230	62	&	&	CCONJ
aiti-5290	230	63	,	,	PUNCT
aiti-5290	230	64	'	'	PUNCT
aiti-5290	230	65	(	(	PUNCT
aiti-5290	230	66	̅	̅	X
aiti-5290	230	67	+	+	CCONJ
aiti-5290	230	68	�	�	PROPN
aiti-5290	230	69	)	)	PUNCT
aiti-5290	230	70	,	,	PUNCT
aiti-5290	230	71	*	*	X
aiti-5290	230	72	.	.	PUNCT
aiti-5290	231	1	the	the	DET
aiti-5290	231	2	wind	wind	NOUN
aiti-5290	231	3	force	force	NOUN
aiti-5290	231	4	can	can	AUX
aiti-5290	231	5	be	be	AUX
aiti-5290	231	6	normalized	normalize	VERB
aiti-5290	231	7	as	as	ADP
aiti-5290	231	8	:	:	PUNCT
aiti-5290	231	9	,	,	PUNCT
aiti-5290	231	10	,	,	PUNCT
aiti-5290	231	11	2	2	NUM
aiti-5290	231	12	4	4	NUM
aiti-5290	231	13	,	,	PUNCT
aiti-5290	231	14	,	,	PUNCT
aiti-5290	231	15	/	/	SYM
aiti-5290	231	16	/	/	SYM
aiti-5290	231	17	y	y	PROPN
aiti-5290	231	18	z	z	NOUN
aiti-5290	231	19	y	y	PROPN
aiti-5290	232	1	z	z	NOUN
aiti-5290	232	2	yy	yy	INTJ
aiti-5290	233	1	y	y	PROPN
aiti-5290	233	2	z	z	NOUN
aiti-5290	233	3	y	y	PROPN
aiti-5290	234	1	z	z	NOUN
aiti-5290	234	2	yy	yy	INTJ
aiti-5290	235	1	q	q	PROPN
aiti-5290	235	2	q	q	X
aiti-5290	236	1	d	d	X
aiti-5290	236	2	l	l	NOUN
aiti-5290	236	3	l	l	NOUN
aiti-5290	236	4	d	d	NOUN
aiti-5290	236	5	ml	ml	NOUN
aiti-5290	236	6	=	=	SYM
aiti-5290	236	7	ω	ω	PROPN
aiti-5290	236	8	=	=	SYM
aiti-5290	236	9	ω	ω	PROPN
aiti-5290	236	10	(	(	PUNCT
aiti-5290	236	11	11	11	NUM
aiti-5290	236	12	)	)	PUNCT
aiti-5290	236	13	the	the	DET
aiti-5290	236	14	windward	windward	NOUN
aiti-5290	236	15	aerodynamic	aerodynamic	ADJ
aiti-5290	236	16	forces	force	NOUN
aiti-5290	236	17	in	in	ADP
aiti-5290	236	18	the	the	DET
aiti-5290	236	19	y	y	NOUN
aiti-5290	236	20	-	-	PUNCT
aiti-5290	236	21	direction	direction	NOUN
aiti-5290	236	22	of	of	ADP
aiti-5290	236	23	the	the	DET
aiti-5290	236	24	beam	beam	NOUN
aiti-5290	236	25	are	be	AUX
aiti-5290	236	26	given	give	VERB
aiti-5290	236	27	as	as	SCONJ
aiti-5290	236	28	follows	follow	VERB
aiti-5290	236	29	(	(	PUNCT
aiti-5290	236	30	please	please	INTJ
aiti-5290	236	31	refer	refer	VERB
aiti-5290	236	32	the	the	DET
aiti-5290	236	33	research	research	NOUN
aiti-5290	236	34	from	from	ADP
aiti-5290	236	35	van	van	PROPN
aiti-5290	236	36	horssen	horssen	PROPN
aiti-5290	236	37	[	[	X
aiti-5290	236	38	20	20	NUM
aiti-5290	236	39	]	]	NUM
aiti-5290	236	40	)	)	PUNCT
aiti-5290	236	41	,	,	PUNCT
aiti-5290	236	42	advances	advance	NOUN
aiti-5290	236	43	in	in	ADP
aiti-5290	236	44	technology	technology	NOUN
aiti-5290	236	45	innovation	innovation	NOUN
aiti-5290	236	46	,	,	PUNCT
aiti-5290	236	47	vol	vol	NOUN
aiti-5290	236	48	.	.	PROPN
aiti-5290	237	1	5	5	NUM
aiti-5290	237	2	,	,	PUNCT
aiti-5290	237	3	no	no	INTJ
aiti-5290	237	4	.	.	NOUN
aiti-5290	237	5	4	4	NUM
aiti-5290	237	6	,	,	PUNCT
aiti-5290	237	7	2020	2020	NUM
aiti-5290	237	8	,	,	PUNCT
aiti-5290	237	9	pp	pp	ADV
aiti-5290	237	10	.	.	PUNCT
aiti-5290	238	1	270	270	NUM
aiti-5290	238	2	-	-	SYM
aiti-5290	238	3	291	291	NUM
aiti-5290	238	4	274	274	NUM
aiti-5290	238	5	2	2	NUM
aiti-5290	238	6	2	2	NUM
aiti-5290	238	7	3	3	NUM
aiti-5290	238	8	1	1	NUM
aiti-5290	238	9	2	2	NUM
aiti-5290	238	10	3	3	NUM
aiti-5290	238	11	0	0	NUM
aiti-5290	238	12	2	2	NUM
aiti-5290	238	13	3	3	NUM
aiti-5290	238	14	2	2	NUM
aiti-5290	238	15	2	2	NUM
aiti-5290	238	16	3	3	NUM
aiti-5290	238	17	1	1	NUM
aiti-5290	238	18	2	2	NUM
aiti-5290	238	19	3	3	NUM
aiti-5290	238	20	0	0	NUM
aiti-5290	238	21	2	2	NUM
aiti-5290	238	22	3	3	NUM
aiti-5290	238	23	(	(	PUNCT
aiti-5290	238	24	,	,	PUNCT
aiti-5290	238	25	)	)	PUNCT
aiti-5290	238	26	(	(	PUNCT
aiti-5290	238	27	,	,	PUNCT
aiti-5290	238	28	)	)	PUNCT
aiti-5290	238	29	(	(	PUNCT
aiti-5290	238	30	,	,	PUNCT
aiti-5290	238	31	)	)	PUNCT
aiti-5290	238	32	...	...	PUNCT
aiti-5290	239	1	2	2	NUM
aiti-5290	239	2	(	(	PUNCT
aiti-5290	239	3	,	,	PUNCT
aiti-5290	239	4	)	)	PUNCT
aiti-5290	239	5	(	(	PUNCT
aiti-5290	239	6	,	,	PUNCT
aiti-5290	239	7	)	)	PUNCT
aiti-5290	239	8	(	(	PUNCT
aiti-5290	239	9	,	,	PUNCT
aiti-5290	239	10	)	)	PUNCT
aiti-5290	239	11	...	...	PUNCT
aiti-5290	240	1	2	2	NUM
aiti-5290	240	2	a	a	DET
aiti-5290	240	3	y	y	NOUN
aiti-5290	240	4	d	d	X
aiti-5290	240	5	u	u	PROPN
aiti-5290	240	6	d	d	X
aiti-5290	240	7	u	u	X
aiti-5290	240	8	d	d	X
aiti-5290	240	9	u	u	X
aiti-5290	240	10	d	d	PROPN
aiti-5290	240	11	d	d	X
aiti-5290	240	12	u	u	X
aiti-5290	240	13	y	y	PROPN
aiti-5290	240	14	y	y	PROPN
aiti-5290	240	15	y	y	PROPN
aiti-5290	240	16	a	a	DET
aiti-5290	240	17	z	z	NOUN
aiti-5290	240	18	a	a	DET
aiti-5290	240	19	u	u	NOUN
aiti-5290	240	20	a	a	DET
aiti-5290	240	21	u	u	NOUN
aiti-5290	240	22	a	a	DET
aiti-5290	240	23	u	u	NOUN
aiti-5290	240	24	a	a	DET
aiti-5290	240	25	a	a	DET
aiti-5290	240	26	u	u	NOUN
aiti-5290	240	27	z	z	PROPN
aiti-5290	240	28	z	z	NOUN
aiti-5290	240	29	z	z	NOUN
aiti-5290	240	30	u	u	PROPN
aiti-5290	240	31	d	d	X
aiti-5290	240	32	a	a	PRON
aiti-5290	240	33	a	a	DET
aiti-5290	240	34	ay	ay	NOUN
aiti-5290	240	35	x	x	SYM
aiti-5290	240	36	t	t	NOUN
aiti-5290	240	37	y	y	PROPN
aiti-5290	240	38	x	x	SYM
aiti-5290	240	39	t	t	PROPN
aiti-5290	240	40	y	y	PROPN
aiti-5290	240	41	x	x	SYM
aiti-5290	240	42	t	t	PROPN
aiti-5290	240	43	f	f	PROPN
aiti-5290	240	44	a	a	DET
aiti-5290	240	45	u	u	NOUN
aiti-5290	240	46	t	t	PROPN
aiti-5290	240	47	t	t	NOUN
aiti-5290	240	48	tu	tu	X
aiti-5290	240	49	u	u	PROPN
aiti-5290	240	50	u	u	PROPN
aiti-5290	240	51	d	d	PROPN
aiti-5290	240	52	a	a	PRON
aiti-5290	240	53	a	a	DET
aiti-5290	240	54	az	az	NOUN
aiti-5290	240	55	x	x	SYM
aiti-5290	240	56	t	t	PROPN
aiti-5290	240	57	z	z	PROPN
aiti-5290	240	58	x	x	SYM
aiti-5290	240	59	t	t	PROPN
aiti-5290	240	60	z	z	NOUN
aiti-5290	240	61	x	x	SYM
aiti-5290	240	62	t	t	PROPN
aiti-5290	240	63	f	f	PROPN
aiti-5290	240	64	a	a	DET
aiti-5290	240	65	u	u	NOUN
aiti-5290	240	66	t	t	PROPN
aiti-5290	240	67	t	t	X
aiti-5290	240	68	tu	tu	X
aiti-5290	240	69	u	u	PROPN
aiti-5290	240	70	ρ	ρ	PROPN
aiti-5290	240	71	ρ	ρ	PROPN
aiti-5290	240	72			PROPN
aiti-5290	240	73			PROPN
aiti-5290	240	74	∂	∂	PROPN
aiti-5290	240	75	∂	∂	NOUN
aiti-5290	240	76	∂	∂	NOUN
aiti-5290	240	77	=	=	NOUN
aiti-5290	241	1	+	+	PUNCT
aiti-5290	241	2	+	+	PUNCT
aiti-5290	241	3	+	+	CCONJ
aiti-5290	241	4	+	+	ADJ
aiti-5290	241	5			ADJ
aiti-5290	241	6			NOUN
aiti-5290	241	7			X
aiti-5290	241	8	∂	∂	X
aiti-5290	241	9	∂	∂	NOUN
aiti-5290	242	1	∂	∂	VERB
aiti-5290	242	2			NOUN
aiti-5290	242	3			PUNCT
aiti-5290	243	1			NOUN
aiti-5290	243	2			PROPN
aiti-5290	243	3	∂	∂	PRON
aiti-5290	243	4	∂	∂	NOUN
aiti-5290	243	5	∂	∂	PROPN
aiti-5290	243	6	=	=	PUNCT
aiti-5290	244	1	+	+	PUNCT
aiti-5290	245	1	+	+	PUNCT
aiti-5290	246	1	+	+	CCONJ
aiti-5290	247	1	+	+	PRON
aiti-5290	247	2			NOUN
aiti-5290	247	3			PROPN
aiti-5290	247	4	∂	∂	NOUN
aiti-5290	247	5	∂	∂	NOUN
aiti-5290	248	1	∂	∂	NOUN
aiti-5290	249	1			X
aiti-5290	249	2	(	(	PUNCT
aiti-5290	249	3	12	12	NUM
aiti-5290	249	4	)	)	PUNCT
aiti-5290	249	5	normalizing	normalize	VERB
aiti-5290	249	6	eq	eq	NOUN
aiti-5290	249	7	.	.	PUNCT
aiti-5290	250	1	(	(	PUNCT
aiti-5290	250	2	12	12	NUM
aiti-5290	250	3	)	)	PUNCT
aiti-5290	250	4	yields	yield	NOUN
aiti-5290	250	5	:	:	PUNCT
aiti-5290	250	6	2	2	NUM
aiti-5290	250	7	3	3	NUM
aiti-5290	250	8	0	0	NUM
aiti-5290	250	9	1	1	NUM
aiti-5290	250	10	2	2	NUM
aiti-5290	250	11	3	3	NUM
aiti-5290	250	12	2	2	NUM
aiti-5290	250	13	3	3	NUM
aiti-5290	250	14	0	0	NUM
aiti-5290	250	15	1	1	NUM
aiti-5290	250	16	2	2	NUM
aiti-5290	250	17	3	3	NUM
aiti-5290	250	18	ˆ	ˆ	NOUN
aiti-5290	250	19	ˆ	ˆ	NOUN
aiti-5290	250	20	ˆ	ˆ	NOUN
aiti-5290	250	21	ˆ	ˆ	ADV
aiti-5290	250	22	...	...	PUNCT
aiti-5290	250	23	,	,	PUNCT
aiti-5290	250	24	ˆ	ˆ	PRON
aiti-5290	250	25	ˆ	ˆ	NOUN
aiti-5290	250	26	ˆ	ˆ	NOUN
aiti-5290	250	27	ˆ	ˆ	ADV
aiti-5290	250	28	...	...	PUNCT
aiti-5290	250	29	,	,	PUNCT
aiti-5290	251	1	d	d	X
aiti-5290	251	2	d	d	PUNCT
aiti-5290	251	3	u	u	X
aiti-5290	251	4	d	d	X
aiti-5290	251	5	u	u	X
aiti-5290	251	6	d	d	X
aiti-5290	251	7	u	u	X
aiti-5290	251	8	d	d	X
aiti-5290	251	9	u	u	PROPN
aiti-5290	251	10	a	a	PRON
aiti-5290	251	11	a	a	DET
aiti-5290	251	12	u	u	NOUN
aiti-5290	251	13	a	a	DET
aiti-5290	251	14	u	u	NOUN
aiti-5290	251	15	a	a	DET
aiti-5290	251	16	u	u	NOUN
aiti-5290	251	17	a	a	DET
aiti-5290	251	18	u	u	NOUN
aiti-5290	251	19	f	f	PROPN
aiti-5290	251	20	a	a	PRON
aiti-5290	251	21	a	a	PROPN
aiti-5290	251	22	y	y	PROPN
aiti-5290	251	23	a	a	DET
aiti-5290	251	24	y	y	PROPN
aiti-5290	251	25	a	a	PRON
aiti-5290	251	26	y	y	PROPN
aiti-5290	251	27	f	f	PROPN
aiti-5290	251	28	a	a	DET
aiti-5290	251	29	a	a	PROPN
aiti-5290	251	30	z	z	NOUN
aiti-5290	251	31	a	a	DET
aiti-5290	251	32	z	z	NOUN
aiti-5290	251	33	a	a	DET
aiti-5290	251	34	z	z	NOUN
aiti-5290	251	35			NOUN
aiti-5290	251	36	=	=	PUNCT
aiti-5290	252	1	+	+	PUNCT
aiti-5290	252	2	+	+	PUNCT
aiti-5290	252	3	+	+	CCONJ
aiti-5290	252	4	+	+	ADJ
aiti-5290	252	5			ADJ
aiti-5290	252	6			X
aiti-5290	252	7	=	=	X
aiti-5290	252	8	+	+	PROPN
aiti-5290	253	1	+	+	CCONJ
aiti-5290	254	1	+	+	CCONJ
aiti-5290	255	1	+	+	ADJ
aiti-5290	255	2			ADJ
aiti-5290	255	3	ɺ	ɺ	ADP
aiti-5290	255	4	ɺ	ɺ	INTJ
aiti-5290	255	5	ɺ	ɺ	NOUN
aiti-5290	255	6	ɺ	ɺ	NOUN
aiti-5290	255	7	ɺ	ɺ	NOUN
aiti-5290	255	8	ɺ	ɺ	NOUN
aiti-5290	255	9	(	(	PUNCT
aiti-5290	255	10	13	13	NUM
aiti-5290	255	11	)	)	PUNCT
aiti-5290	255	12	where	where	SCONJ
aiti-5290	255	13	,	,	PUNCT
aiti-5290	255	14	-)./	-)./	PROPN
aiti-5290	255	15	is	be	AUX
aiti-5290	255	16	the	the	DET
aiti-5290	255	17	lifting	lift	VERB
aiti-5290	255	18	coefficients	coefficient	NOUN
aiti-5290	255	19	and	and	CCONJ
aiti-5290	255	20	,	,	PUNCT
aiti-5290	255	21	-)0/	-)0/	PUNCT
aiti-5290	255	22	is	be	AUX
aiti-5290	255	23	the	the	DET
aiti-5290	255	24	first	first	ADJ
aiti-5290	255	25	-	-	PUNCT
aiti-5290	255	26	order	order	NOUN
aiti-5290	255	27	derivative	derivative	ADJ
aiti-5290	255	28	modified	modify	VERB
aiti-5290	255	29	term	term	NOUN
aiti-5290	255	30	.	.	PUNCT
aiti-5290	256	1	both	both	PRON
aiti-5290	256	2	of	of	ADP
aiti-5290	256	3	them	they	PRON
aiti-5290	256	4	are	be	AUX
aiti-5290	256	5	defined	define	VERB
aiti-5290	256	6	as	as	ADP
aiti-5290	256	7	:	:	PUNCT
aiti-5290	256	8	2	2	NUM
aiti-5290	256	9	0	0	NUM
aiti-5290	256	10	0	0	NUM
aiti-5290	256	11	2	2	NUM
aiti-5290	256	12	ˆ	ˆ	NOUN
aiti-5290	256	13	2	2	NUM
aiti-5290	256	14	a	a	DET
aiti-5290	256	15	y	y	NOUN
aiti-5290	256	16	d	d	X
aiti-5290	256	17	u	u	PROPN
aiti-5290	257	1	d	d	X
aiti-5290	257	2	u	u	X
aiti-5290	257	3	u	u	X
aiti-5290	257	4	da	da	PROPN
aiti-5290	257	5	a	a	DET
aiti-5290	257	6	m	m	NOUN
aiti-5290	257	7	ρ	ρ	NOUN
aiti-5290	257	8	ω	ω	NOUN
aiti-5290	257	9	=	=	SYM
aiti-5290	257	10	(	(	PUNCT
aiti-5290	257	11	14	14	NUM
aiti-5290	257	12	)	)	SYM
aiti-5290	257	13	1	1	NUM
aiti-5290	257	14	1	1	NUM
aiti-5290	257	15	2	2	NUM
aiti-5290	257	16	ˆ	ˆ	NOUN
aiti-5290	257	17	2	2	NUM
aiti-5290	257	18	a	a	DET
aiti-5290	257	19	y	y	NOUN
aiti-5290	257	20	d	d	X
aiti-5290	257	21	u	u	PROPN
aiti-5290	257	22	d	d	X
aiti-5290	257	23	u	u	X
aiti-5290	257	24	u	u	X
aiti-5290	257	25	da	da	PROPN
aiti-5290	257	26	a	a	DET
aiti-5290	257	27	m	m	NOUN
aiti-5290	257	28	ρ	ρ	NOUN
aiti-5290	257	29	ω	ω	NOUN
aiti-5290	257	30	=	=	SYM
aiti-5290	257	31	(	(	PUNCT
aiti-5290	257	32	15	15	NUM
aiti-5290	257	33	)	)	SYM
aiti-5290	257	34	2	2	NUM
aiti-5290	257	35	2	2	NUM
aiti-5290	257	36	2	2	NUM
aiti-5290	257	37	ˆ	ˆ	NOUN
aiti-5290	257	38	2	2	NUM
aiti-5290	257	39	a	a	DET
aiti-5290	257	40	d	d	X
aiti-5290	257	41	u	u	X
aiti-5290	257	42	d	d	X
aiti-5290	257	43	u	u	X
aiti-5290	257	44	da	da	PROPN
aiti-5290	257	45	a	a	DET
aiti-5290	257	46	m	m	NOUN
aiti-5290	257	47	ρ	ρ	NOUN
aiti-5290	257	48	ω	ω	NOUN
aiti-5290	257	49	=	=	SYM
aiti-5290	257	50	(	(	PUNCT
aiti-5290	257	51	16	16	NUM
aiti-5290	257	52	)	)	SYM
aiti-5290	257	53	2	2	NUM
aiti-5290	257	54	3	3	NUM
aiti-5290	257	55	2	2	NUM
aiti-5290	257	56	ˆ	ˆ	NOUN
aiti-5290	257	57	2	2	NUM
aiti-5290	257	58	a	a	DET
aiti-5290	257	59	d	d	X
aiti-5290	257	60	u	u	NOUN
aiti-5290	257	61	d	d	X
aiti-5290	257	62	u	u	X
aiti-5290	257	63	y	y	PROPN
aiti-5290	257	64	da	da	PROPN
aiti-5290	257	65	a	a	DET
aiti-5290	257	66	m	m	NOUN
aiti-5290	257	67	u	u	NOUN
aiti-5290	257	68	ρ	ρ	PROPN
aiti-5290	257	69	ω	ω	NOUN
aiti-5290	257	70	=	=	SYM
aiti-5290	257	71	(	(	PUNCT
aiti-5290	257	72	17	17	NUM
aiti-5290	257	73	)	)	PUNCT
aiti-5290	257	74	2	2	NUM
aiti-5290	257	75	0	0	NUM
aiti-5290	257	76	0	0	NUM
aiti-5290	257	77	2	2	NUM
aiti-5290	257	78	ˆ	ˆ	NOUN
aiti-5290	257	79	2	2	NUM
aiti-5290	257	80	a	a	DET
aiti-5290	257	81	z	z	NOUN
aiti-5290	257	82	a	a	DET
aiti-5290	257	83	u	u	NOUN
aiti-5290	257	84	a	a	DET
aiti-5290	257	85	u	u	X
aiti-5290	257	86	u	u	X
aiti-5290	257	87	da	da	PROPN
aiti-5290	257	88	a	a	DET
aiti-5290	257	89	m	m	NOUN
aiti-5290	257	90	ρ	ρ	NOUN
aiti-5290	257	91	ω	ω	NOUN
aiti-5290	257	92	=	=	SYM
aiti-5290	257	93	(	(	PUNCT
aiti-5290	257	94	18	18	NUM
aiti-5290	257	95	)	)	SYM
aiti-5290	257	96	1	1	NUM
aiti-5290	257	97	1	1	NUM
aiti-5290	257	98	2	2	NUM
aiti-5290	257	99	ˆ	ˆ	NOUN
aiti-5290	257	100	2	2	NUM
aiti-5290	257	101	a	a	DET
aiti-5290	257	102	z	z	NOUN
aiti-5290	257	103	a	a	DET
aiti-5290	257	104	u	u	NOUN
aiti-5290	257	105	a	a	DET
aiti-5290	257	106	u	u	X
aiti-5290	257	107	u	u	X
aiti-5290	257	108	da	da	PROPN
aiti-5290	257	109	a	a	DET
aiti-5290	257	110	m	m	NOUN
aiti-5290	257	111	ρ	ρ	NOUN
aiti-5290	257	112	ω	ω	NOUN
aiti-5290	257	113	=	=	SYM
aiti-5290	257	114	(	(	PUNCT
aiti-5290	257	115	19	19	NUM
aiti-5290	257	116	)	)	SYM
aiti-5290	257	117	2	2	NUM
aiti-5290	257	118	2	2	NUM
aiti-5290	257	119	2	2	NUM
aiti-5290	257	120	ˆ	ˆ	NOUN
aiti-5290	257	121	2	2	NUM
aiti-5290	257	122	a	a	DET
aiti-5290	257	123	a	a	DET
aiti-5290	257	124	u	u	NOUN
aiti-5290	257	125	a	a	DET
aiti-5290	257	126	u	u	NOUN
aiti-5290	257	127	da	da	PROPN
aiti-5290	257	128	a	a	DET
aiti-5290	257	129	m	m	NOUN
aiti-5290	257	130	ρ	ρ	NOUN
aiti-5290	257	131	ω	ω	NOUN
aiti-5290	257	132	=	=	SYM
aiti-5290	257	133	(	(	PUNCT
aiti-5290	257	134	20	20	NUM
aiti-5290	257	135	)	)	PUNCT
aiti-5290	257	136	3	3	NUM
aiti-5290	257	137	3	3	NUM
aiti-5290	257	138	2	2	NUM
aiti-5290	257	139	ˆ	ˆ	NOUN
aiti-5290	257	140	2	2	NUM
aiti-5290	257	141	a	a	DET
aiti-5290	257	142	a	a	DET
aiti-5290	257	143	u	u	NOUN
aiti-5290	257	144	a	a	DET
aiti-5290	257	145	u	u	NOUN
aiti-5290	257	146	z	z	PROPN
aiti-5290	257	147	da	da	NOUN
aiti-5290	257	148	a	a	DET
aiti-5290	257	149	m	m	NOUN
aiti-5290	257	150	u	u	NOUN
aiti-5290	257	151	ρ	ρ	PROPN
aiti-5290	257	152	ω	ω	NOUN
aiti-5290	257	153	=	=	SYM
aiti-5290	257	154	(	(	PUNCT
aiti-5290	257	155	21	21	NUM
aiti-5290	257	156	)	)	PUNCT
aiti-5290	257	157	the	the	DET
aiti-5290	257	158	aerodynamic	aerodynamic	ADJ
aiti-5290	257	159	coefficients	coefficient	NOUN
aiti-5290	257	160	of	of	ADP
aiti-5290	257	161	the	the	DET
aiti-5290	257	162	y	y	PROPN
aiti-5290	257	163	and	and	CCONJ
aiti-5290	257	164	z	z	NOUN
aiti-5290	257	165	directions	direction	NOUN
aiti-5290	257	166	,	,	PUNCT
aiti-5290	257	167	and	and	CCONJ
aiti-5290	257	168	1	1	NUM
aiti-5290	257	169	�	�	PROPN
aiti-5290	257	170	�	�	PROPN
aiti-5290	257	171	,	,	PUNCT
aiti-5290	257	172	�	�	PROPN
aiti-5290	257	173	denotes	denote	VERB
aiti-5290	257	174	the	the	DET
aiti-5290	257	175	wind	wind	NOUN
aiti-5290	257	176	speed	speed	NOUN
aiti-5290	257	177	in	in	ADP
aiti-5290	257	178	the	the	DET
aiti-5290	257	179	y	y	PROPN
aiti-5290	257	180	and	and	CCONJ
aiti-5290	257	181	z	z	NOUN
aiti-5290	257	182	directions	direction	NOUN
aiti-5290	257	183	.	.	PUNCT
aiti-5290	258	1	if	if	SCONJ
aiti-5290	258	2	1	1	NUM
aiti-5290	258	3	�	�	PROPN
aiti-5290	258	4	�	�	PROPN
aiti-5290	258	5	,	,	PUNCT
aiti-5290	258	6	�	�	PROPN
aiti-5290	258	7	is	be	AUX
aiti-5290	258	8	also	also	ADV
aiti-5290	258	9	in	in	ADP
aiti-5290	258	10	unsteady	unsteady	ADJ
aiti-5290	258	11	form	form	NOUN
aiti-5290	258	12	,	,	PUNCT
aiti-5290	258	13	then	then	ADV
aiti-5290	258	14	2	2	NUM
aiti-5290	258	15	0	0	NUM
aiti-5290	258	16	0ˆ	0ˆ	ADJ
aiti-5290	259	1	i	i	NOUN
aiti-5290	259	2	t	t	PROPN
aiti-5290	260	1	d	d	X
aiti-5290	260	2	u	u	PROPN
aiti-5290	260	3	d	d	PROPN
aiti-5290	260	4	ua	ua	PROPN
aiti-5290	260	5	a	a	PROPN
aiti-5290	260	6	e	e	X
aiti-5290	260	7	ω=	ω=	X
aiti-5290	260	8	ɶ	ɶ	X
aiti-5290	260	9	(	(	PUNCT
aiti-5290	260	10	22	22	NUM
aiti-5290	260	11	)	)	PUNCT
aiti-5290	260	12	1	1	NUM
aiti-5290	260	13	1ˆ	1ˆ	NOUN
aiti-5290	261	1	i	i	PRON
aiti-5290	261	2	t	t	PROPN
aiti-5290	261	3	d	d	X
aiti-5290	261	4	u	u	PROPN
aiti-5290	262	1	d	d	PROPN
aiti-5290	262	2	ua	ua	PROPN
aiti-5290	262	3	a	a	PROPN
aiti-5290	262	4	e	e	X
aiti-5290	262	5	ω=	ω=	X
aiti-5290	262	6	ɶ	ɶ	X
aiti-5290	262	7	(	(	PUNCT
aiti-5290	262	8	23	23	NUM
aiti-5290	262	9	)	)	SYM
aiti-5290	262	10	2	2	NUM
aiti-5290	262	11	0	0	NUM
aiti-5290	262	12	0ˆ	0ˆ	NOUN
aiti-5290	263	1	i	i	PRON
aiti-5290	263	2	t	t	VERB
aiti-5290	263	3	a	a	DET
aiti-5290	263	4	u	u	PROPN
aiti-5290	263	5	a	a	PROPN
aiti-5290	263	6	ua	ua	PROPN
aiti-5290	263	7	a	a	DET
aiti-5290	263	8	e	e	X
aiti-5290	263	9	ω=	ω=	X
aiti-5290	263	10	ɶ	ɶ	X
aiti-5290	263	11	(	(	PUNCT
aiti-5290	263	12	24	24	NUM
aiti-5290	263	13	)	)	PUNCT
aiti-5290	263	14	1	1	NUM
aiti-5290	263	15	1ˆ	1ˆ	NOUN
aiti-5290	264	1	i	i	PRON
aiti-5290	264	2	t	t	VERB
aiti-5290	264	3	a	a	DET
aiti-5290	264	4	u	u	PROPN
aiti-5290	264	5	a	a	PROPN
aiti-5290	264	6	ua	ua	PROPN
aiti-5290	264	7	a	a	DET
aiti-5290	264	8	e	e	X
aiti-5290	264	9	ω=	ω=	X
aiti-5290	264	10	ɶ	ɶ	X
aiti-5290	264	11	(	(	PUNCT
aiti-5290	264	12	25	25	NUM
aiti-5290	264	13	)	)	PUNCT
aiti-5290	264	14	it	it	PRON
aiti-5290	264	15	is	be	AUX
aiti-5290	264	16	also	also	ADV
aiti-5290	264	17	noted	note	VERB
aiti-5290	264	18	that	that	SCONJ
aiti-5290	264	19	,	,	PUNCT
aiti-5290	264	20	-)./	-)./	PROPN
aiti-5290	264	21	is	be	AUX
aiti-5290	264	22	zero	zero	NUM
aiti-5290	264	23	for	for	ADP
aiti-5290	264	24	non	non	ADJ
aiti-5290	264	25	-	-	ADJ
aiti-5290	264	26	rotating	rotating	ADJ
aiti-5290	264	27	body	body	NOUN
aiti-5290	264	28	,	,	PUNCT
aiti-5290	264	29	and	and	CCONJ
aiti-5290	264	30	,	,	PUNCT
aiti-5290	264	31	-)0/	-)0/	PRON
aiti-5290	264	32	is	be	AUX
aiti-5290	264	33	22	22	NUM
aiti-5290	264	34	.	.	PUNCT
aiti-5290	265	1	this	this	DET
aiti-5290	265	2	study	study	NOUN
aiti-5290	265	3	investigates	investigate	VERB
aiti-5290	265	4	the	the	DET
aiti-5290	265	5	internal	internal	ADJ
aiti-5290	265	6	resonance	resonance	NOUN
aiti-5290	265	7	of	of	ADP
aiti-5290	265	8	a	a	DET
aiti-5290	265	9	3d	3d	NUM
aiti-5290	265	10	nonlinear	nonlinear	ADJ
aiti-5290	265	11	free	free	ADJ
aiti-5290	265	12	-	-	PUNCT
aiti-5290	265	13	free	free	ADJ
aiti-5290	265	14	beam	beam	NOUN
aiti-5290	265	15	.	.	PUNCT
aiti-5290	266	1	the	the	DET
aiti-5290	266	2	main	main	ADJ
aiti-5290	266	3	goal	goal	NOUN
aiti-5290	266	4	is	be	AUX
aiti-5290	266	5	focusing	focus	VERB
aiti-5290	266	6	on	on	ADP
aiti-5290	266	7	the	the	DET
aiti-5290	266	8	structural	structural	ADJ
aiti-5290	266	9	vibration	vibration	NOUN
aiti-5290	266	10	analysis	analysis	NOUN
aiti-5290	266	11	due	due	ADJ
aiti-5290	266	12	to	to	ADP
aiti-5290	266	13	unsteady	unsteady	ADJ
aiti-5290	266	14	loads	load	NOUN
aiti-5290	266	15	.	.	PUNCT
aiti-5290	267	1	the	the	DET
aiti-5290	267	2	fluid	fluid	NOUN
aiti-5290	267	3	-	-	PUNCT
aiti-5290	267	4	solid	solid	ADJ
aiti-5290	267	5	interaction	interaction	NOUN
aiti-5290	267	6	aeroelastic	aeroelastic	ADJ
aiti-5290	267	7	problem	problem	NOUN
aiti-5290	267	8	is	be	AUX
aiti-5290	267	9	not	not	PART
aiti-5290	267	10	considered	consider	VERB
aiti-5290	267	11	in	in	ADP
aiti-5290	267	12	this	this	DET
aiti-5290	267	13	advances	advance	NOUN
aiti-5290	267	14	in	in	ADP
aiti-5290	267	15	technology	technology	NOUN
aiti-5290	267	16	innovation	innovation	NOUN
aiti-5290	267	17	,	,	PUNCT
aiti-5290	267	18	vol	vol	NOUN
aiti-5290	267	19	.	.	PROPN
aiti-5290	268	1	5	5	NUM
aiti-5290	268	2	,	,	PUNCT
aiti-5290	268	3	no	no	INTJ
aiti-5290	268	4	.	.	NOUN
aiti-5290	268	5	4	4	NUM
aiti-5290	268	6	,	,	PUNCT
aiti-5290	268	7	2020	2020	NUM
aiti-5290	268	8	,	,	PUNCT
aiti-5290	268	9	pp	pp	ADV
aiti-5290	268	10	.	.	PUNCT
aiti-5290	269	1	270	270	NUM
aiti-5290	269	2	-	-	SYM
aiti-5290	269	3	291	291	NUM
aiti-5290	269	4	275	275	NUM
aiti-5290	269	5	research	research	NOUN
aiti-5290	269	6	.	.	PUNCT
aiti-5290	270	1	the	the	DET
aiti-5290	270	2	boundary	boundary	ADJ
aiti-5290	270	3	conditions	condition	NOUN
aiti-5290	270	4	for	for	ADP
aiti-5290	270	5	the	the	DET
aiti-5290	270	6	free	free	ADJ
aiti-5290	270	7	-	-	PUNCT
aiti-5290	270	8	free	free	ADJ
aiti-5290	270	9	beam	beam	NOUN
aiti-5290	270	10	are	be	AUX
aiti-5290	270	11	simply	simply	ADV
aiti-5290	270	12	the	the	DET
aiti-5290	270	13	structural	structural	ADJ
aiti-5290	270	14	dynamic	dynamic	ADJ
aiti-5290	270	15	model	model	NOUN
aiti-5290	270	16	.	.	PUNCT
aiti-5290	271	1	the	the	DET
aiti-5290	271	2	dimensionless	dimensionless	NOUN
aiti-5290	271	3	boundary	boundary	ADJ
aiti-5290	271	4	conditions	condition	NOUN
aiti-5290	271	5	of	of	ADP
aiti-5290	271	6	the	the	DET
aiti-5290	271	7	beam	beam	NOUN
aiti-5290	271	8	are	be	AUX
aiti-5290	271	9	:	:	PUNCT
aiti-5290	271	10	(	(	PUNCT
aiti-5290	271	11	0	0	NUM
aiti-5290	271	12	,	,	PUNCT
aiti-5290	271	13	)	)	PUNCT
aiti-5290	271	14	(	(	PUNCT
aiti-5290	271	15	0	0	NUM
aiti-5290	271	16	,	,	PUNCT
aiti-5290	271	17	)	)	PUNCT
aiti-5290	271	18	(	(	PUNCT
aiti-5290	271	19	1	1	NUM
aiti-5290	271	20	,	,	PUNCT
aiti-5290	271	21	)	)	PUNCT
aiti-5290	271	22	(	(	PUNCT
aiti-5290	271	23	1	1	NUM
aiti-5290	271	24	,	,	PUNCT
aiti-5290	271	25	)	)	PUNCT
aiti-5290	271	26	0	0	PUNCT
aiti-5290	272	1	(	(	PUNCT
aiti-5290	272	2	0	0	NUM
aiti-5290	272	3	,	,	PUNCT
aiti-5290	272	4	)	)	PUNCT
aiti-5290	272	5	(	(	PUNCT
aiti-5290	272	6	0	0	NUM
aiti-5290	272	7	,	,	PUNCT
aiti-5290	272	8	)	)	PUNCT
aiti-5290	272	9	(	(	PUNCT
aiti-5290	272	10	1	1	NUM
aiti-5290	272	11	,	,	PUNCT
aiti-5290	272	12	)	)	PUNCT
aiti-5290	272	13	(	(	PUNCT
aiti-5290	272	14	1	1	NUM
aiti-5290	272	15	,	,	PUNCT
aiti-5290	272	16	)	)	PUNCT
aiti-5290	272	17	0	0	PUNCT
aiti-5290	273	1	(	(	PUNCT
aiti-5290	273	2	0	0	NUM
aiti-5290	273	3	,	,	PUNCT
aiti-5290	273	4	)	)	PUNCT
aiti-5290	273	5	(	(	PUNCT
aiti-5290	273	6	1	1	NUM
aiti-5290	273	7	,	,	PUNCT
aiti-5290	273	8	)	)	PUNCT
aiti-5290	273	9	0	0	PUNCT
aiti-5290	274	1	y	y	PROPN
aiti-5290	274	2	t	t	PROPN
aiti-5290	275	1	y	y	PROPN
aiti-5290	275	2	t	t	PROPN
aiti-5290	275	3	y	y	PROPN
aiti-5290	275	4	t	t	PROPN
aiti-5290	275	5	y	y	PROPN
aiti-5290	275	6	t	t	PROPN
aiti-5290	275	7	z	z	PROPN
aiti-5290	275	8	t	t	PROPN
aiti-5290	275	9	z	z	PROPN
aiti-5290	275	10	t	t	PROPN
aiti-5290	275	11	z	z	PROPN
aiti-5290	275	12	t	t	PROPN
aiti-5290	275	13	z	z	PROPN
aiti-5290	275	14	t	t	PROPN
aiti-5290	275	15	t	t	PROPN
aiti-5290	275	16	tγ	tγ	PROPN
aiti-5290	275	17	γ	γ	PROPN
aiti-5290	275	18	′′	′′	PROPN
aiti-5290	275	19	′′′	′′′	ADP
aiti-5290	275	20	′′	′′	PROPN
aiti-5290	275	21	′′′=	′′′=	NOUN
aiti-5290	275	22	=	=	PUNCT
aiti-5290	275	23	=	=	PUNCT
aiti-5290	275	24	=	=	PRON
aiti-5290	275	25			NOUN
aiti-5290	275	26			ADV
aiti-5290	275	27	′′	′′	PROPN
aiti-5290	275	28	′′′	′′′	ADP
aiti-5290	275	29	′′	′′	PROPN
aiti-5290	275	30	′′′=	′′′=	NOUN
aiti-5290	275	31	=	=	PUNCT
aiti-5290	275	32	=	=	SYM
aiti-5290	275	33	=	=	NOUN
aiti-5290	275	34			NOUN
aiti-5290	275	35			ADJ
aiti-5290	275	36	′	′	NUM
aiti-5290	275	37	′=	′=	PROPN
aiti-5290	276	1	=	=	PRON
aiti-5290	276	2			NOUN
aiti-5290	276	3	(	(	PUNCT
aiti-5290	276	4	26	26	NUM
aiti-5290	276	5	)	)	PUNCT
aiti-5290	276	6	2.2	2.2	NUM
aiti-5290	276	7	.	.	PUNCT
aiti-5290	276	8	double	double	ADJ
aiti-5290	276	9	section	section	NOUN
aiti-5290	276	10	beam	beam	NOUN
aiti-5290	276	11	model	model	NOUN
aiti-5290	276	12	the	the	DET
aiti-5290	276	13	equations	equation	NOUN
aiti-5290	276	14	of	of	ADP
aiti-5290	276	15	motion	motion	NOUN
aiti-5290	276	16	of	of	ADP
aiti-5290	276	17	a	a	DET
aiti-5290	276	18	double	double	ADJ
aiti-5290	276	19	section	section	NOUN
aiti-5290	276	20	free	free	ADJ
aiti-5290	276	21	-	-	PUNCT
aiti-5290	276	22	free	free	ADJ
aiti-5290	276	23	beam	beam	NOUN
aiti-5290	276	24	(	(	PUNCT
aiti-5290	276	25	fig	fig	NOUN
aiti-5290	276	26	.	.	NOUN
aiti-5290	276	27	2	2	NUM
aiti-5290	276	28	)	)	PUNCT
aiti-5290	276	29	can	can	AUX
aiti-5290	276	30	be	be	AUX
aiti-5290	276	31	re	re	VERB
aiti-5290	276	32	-	-	VERB
aiti-5290	276	33	written	write	VERB
aiti-5290	276	34	by	by	ADP
aiti-5290	276	35	using	use	VERB
aiti-5290	276	36	eqs	eqs	PROPN
aiti-5290	276	37	.	.	PUNCT
aiti-5290	277	1	(	(	PUNCT
aiti-5290	277	2	1)-(6	1)-(6	NUM
aiti-5290	277	3	)	)	PUNCT
aiti-5290	277	4	as	as	SCONJ
aiti-5290	277	5	follows	follow	VERB
aiti-5290	277	6	:	:	PUNCT
aiti-5290	278	1	fig	fig	NOUN
aiti-5290	278	2	.	.	PUNCT
aiti-5290	279	1	2	2	NUM
aiti-5290	279	2	schematic	schematic	ADJ
aiti-5290	279	3	model	model	NOUN
aiti-5290	279	4	of	of	ADP
aiti-5290	279	5	double	double	ADJ
aiti-5290	279	6	section	section	NOUN
aiti-5290	279	7	uniform	uniform	NOUN
aiti-5290	279	8	free	free	ADV
aiti-5290	279	9	-	-	PUNCT
aiti-5290	279	10	free	free	ADJ
aiti-5290	279	11	beam	beam	NOUN
aiti-5290	279	12	1	1	NUM
aiti-5290	279	13	1	1	NUM
aiti-5290	279	14	(	(	PUNCT
aiti-5290	279	15	)	)	PUNCT
aiti-5290	279	16	(	(	PUNCT
aiti-5290	279	17	)	)	PUNCT
aiti-5290	279	18	(	(	PUNCT
aiti-5290	279	19	)	)	PUNCT
aiti-5290	279	20	(	(	PUNCT
aiti-5290	279	21	)	)	PUNCT
aiti-5290	279	22	(	(	PUNCT
aiti-5290	279	23	)	)	PUNCT
aiti-5290	279	24	(	(	PUNCT
aiti-5290	279	25	)	)	PUNCT
aiti-5290	279	26	(	(	PUNCT
aiti-5290	279	27	)	)	PUNCT
aiti-5290	279	28	(	(	PUNCT
aiti-5290	279	29	)	)	PUNCT
aiti-5290	279	30	(	(	PUNCT
aiti-5290	279	31	)	)	PUNCT
aiti-5290	279	32	(	(	PUNCT
aiti-5290	279	33	)	)	PUNCT
aiti-5290	279	34	2	2	NUM
aiti-5290	279	35	(	(	PUNCT
aiti-5290	279	36	)	)	PUNCT
aiti-5290	279	37	(	(	PUNCT
aiti-5290	279	38	)	)	PUNCT
aiti-5290	279	39	(	(	PUNCT
aiti-5290	279	40	)	)	PUNCT
aiti-5290	279	41	(	(	PUNCT
aiti-5290	279	42	)	)	PUNCT
aiti-5290	279	43	(	(	PUNCT
aiti-5290	279	44	)	)	PUNCT
aiti-5290	279	45	(	(	PUNCT
aiti-5290	279	46	)	)	PUNCT
aiti-5290	279	47	(	(	PUNCT
aiti-5290	279	48	)	)	PUNCT
aiti-5290	279	49	2	2	NUM
aiti-5290	279	50	2	2	NUM
aiti-5290	279	51	(	(	PUNCT
aiti-5290	279	52	)	)	PUNCT
aiti-5290	279	53	(	(	PUNCT
aiti-5290	279	54	)	)	PUNCT
aiti-5290	279	55	(	(	PUNCT
aiti-5290	279	56	)	)	PUNCT
aiti-5290	279	57	(	(	PUNCT
aiti-5290	279	58	)	)	PUNCT
aiti-5290	279	59	(	(	PUNCT
aiti-5290	279	60	)	)	PUNCT
aiti-5290	279	61	[	[	PUNCT
aiti-5290	279	62	(	(	PUNCT
aiti-5290	279	63	)	)	PUNCT
aiti-5290	279	64	]	]	PUNCT
aiti-5290	279	65	(	(	PUNCT
aiti-5290	279	66	)	)	PUNCT
aiti-5290	279	67	[	[	X
aiti-5290	279	68	(	(	PUNCT
aiti-5290	279	69	)	)	PUNCT
aiti-5290	279	70	]	]	PUNCT
aiti-5290	279	71	1	1	X
aiti-5290	279	72	{	{	PUNCT
aiti-5290	279	73	[	[	PUNCT
aiti-5290	279	74	(	(	PUNCT
aiti-5290	279	75	)	)	PUNCT
aiti-5290	279	76	]	]	PUNCT
aiti-5290	279	77	2	2	X
aiti-5290	279	78	i	i	PRON
aiti-5290	280	1	i	i	PRON
aiti-5290	281	1	i	i	PRON
aiti-5290	282	1	i	i	PRON
aiti-5290	283	1	i	i	PRON
aiti-5290	284	1	i	i	PRON
aiti-5290	285	1	i	i	PRON
aiti-5290	286	1	i	i	PRON
aiti-5290	287	1	i	i	PRON
aiti-5290	288	1	i	i	PRON
aiti-5290	289	1	i	i	VERB
aiti-5290	289	2	y	y	VERB
aiti-5290	290	1	i	i	PRON
aiti-5290	290	2	yy	yy	INTJ
aiti-5290	291	1	i	i	PRON
aiti-5290	291	2	xx	xx	VERB
aiti-5290	292	1	i	i	PRON
aiti-5290	293	1	i	i	PRON
aiti-5290	293	2	zz	zz	VERB
aiti-5290	294	1	i	i	PRON
aiti-5290	294	2	i	i	PRON
aiti-5290	295	1	i	i	PRON
aiti-5290	295	2	i	i	PRON
aiti-5290	296	1	i	i	VERB
aiti-5290	296	2	x	x	VERB
aiti-5290	297	1	yy	yy	INTJ
aiti-5290	297	2	zz	zz	INTJ
aiti-5290	298	1	i	i	PRON
aiti-5290	298	2	i	i	PRON
aiti-5290	299	1	i	i	PRON
aiti-5290	299	2	i	i	PRON
aiti-5290	300	1	i	i	PRON
aiti-5290	300	2	i	i	PRON
aiti-5290	301	1	i	i	PRON
aiti-5290	301	2	i	i	VERB
aiti-5290	301	3	l	l	NOUN
aiti-5290	301	4	x	x	VERB
aiti-5290	302	1	i	i	PRON
aiti-5290	302	2	i	i	PRON
aiti-5290	303	1	i	i	PRON
aiti-5290	303	2	i	i	PRON
aiti-5290	304	1	i	i	VERB
aiti-5290	304	2	l	l	VERB
aiti-5290	304	3	m	m	VERB
aiti-5290	304	4	v	v	ADP
aiti-5290	304	5	c	c	NOUN
aiti-5290	304	6	v	v	NOUN
aiti-5290	304	7	d	d	X
aiti-5290	304	8	v	v	NOUN
aiti-5290	305	1	d	d	X
aiti-5290	305	2	w	w	PROPN
aiti-5290	305	3	d	d	X
aiti-5290	305	4	v	v	ADP
aiti-5290	305	5	v	v	NUM
aiti-5290	305	6	v	v	NOUN
aiti-5290	305	7	w	w	PROPN
aiti-5290	305	8	w	w	PROPN
aiti-5290	305	9	d	d	PROPN
aiti-5290	305	10	d	d	PROPN
aiti-5290	305	11	w	w	PROPN
aiti-5290	305	12	v	v	PROPN
aiti-5290	305	13	w	w	PROPN
aiti-5290	305	14	v	v	PROPN
aiti-5290	305	15	w	w	PROPN
aiti-5290	305	16	dx	dx	PROPN
aiti-5290	305	17	v	v	PROPN
aiti-5290	305	18	m	m	PROPN
aiti-5290	305	19	v	v	NOUN
aiti-5290	305	20	w	w	PROPN
aiti-5290	305	21	dx	dx	PROPN
aiti-5290	305	22	γ	γ	PROPN
aiti-5290	305	23	γ	γ	X
aiti-5290	305	24	γ	γ	X
aiti-5290	305	25	−	−	PROPN
aiti-5290	305	26	−	−	PROPN
aiti-5290	306	1	′′	′′	PROPN
aiti-5290	306	2	′′	′′	PROPN
aiti-5290	306	3	′	′	NOUN
aiti-5290	307	1	′′	′′	PROPN
aiti-5290	307	2	′	′	NUM
aiti-5290	308	1	′	′	NUM
aiti-5290	308	2	′	′	NUM
aiti-5290	309	1	′′	′′	NOUN
aiti-5290	309	2	′	′	NUM
aiti-5290	309	3	′′	′′	NOUN
aiti-5290	309	4	′	′	NOUN
aiti-5290	309	5	′+	′+	PUNCT
aiti-5290	309	6	=	=	PUNCT
aiti-5290	310	1	−	−	PROPN
aiti-5290	311	1	+	+	CCONJ
aiti-5290	311	2	−	−	PROPN
aiti-5290	311	3	+	+	CCONJ
aiti-5290	311	4	′′	′′	PROPN
aiti-5290	311	5	′′	′′	PROPN
aiti-5290	311	6	′	′	NOUN
aiti-5290	311	7	′′′	′′′	VERB
aiti-5290	312	1	′′	′′	PROPN
aiti-5290	312	2	′	′	NOUN
aiti-5290	312	3	′+	′+	PUNCT
aiti-5290	313	1	−	−	NOUN
aiti-5290	314	1	−	−	NOUN
aiti-5290	314	2	−	−	NOUN
aiti-5290	315	1	′	′	NUM
aiti-5290	315	2	′	′	NUM
aiti-5290	316	1	′−	′−	PROPN
aiti-5290	317	1	+	+	CCONJ
aiti-5290	318	1	∫	∫	PROPN
aiti-5290	318	2	∫	∫	PROPN
aiti-5290	318	3	ɺɺ	ɺɺ	PROPN
aiti-5290	319	1	ɺ	ɺ	PROPN
aiti-5290	319	2	ɺɺ	ɺɺ	PROPN
aiti-5290	319	3	}	}	PUNCT
aiti-5290	320	1	i	i	PRON
aiti-5290	320	2	i	i	INTJ
aiti-5290	320	3	x	x	VERB
aiti-5290	321	1	i	i	PRON
aiti-5290	321	2	y	y	PROPN
aiti-5290	321	3	l	l	NOUN
aiti-5290	321	4	dx	dx	PROPN
aiti-5290	321	5	f′	f′	PROPN
aiti-5290	322	1	+	+	PROPN
aiti-5290	322	2	∫	∫	PROPN
aiti-5290	322	3	(	(	PUNCT
aiti-5290	322	4	27	27	NUM
aiti-5290	322	5	)	)	SYM
aiti-5290	322	6	1	1	NUM
aiti-5290	322	7	1	1	NUM
aiti-5290	322	8	(	(	PUNCT
aiti-5290	322	9	)	)	PUNCT
aiti-5290	322	10	(	(	PUNCT
aiti-5290	322	11	)	)	PUNCT
aiti-5290	322	12	(	(	PUNCT
aiti-5290	322	13	)	)	PUNCT
aiti-5290	322	14	(	(	PUNCT
aiti-5290	322	15	)	)	PUNCT
aiti-5290	322	16	(	(	PUNCT
aiti-5290	322	17	)	)	PUNCT
aiti-5290	322	18	(	(	PUNCT
aiti-5290	322	19	)	)	PUNCT
aiti-5290	322	20	(	(	PUNCT
aiti-5290	322	21	)	)	PUNCT
aiti-5290	322	22	(	(	PUNCT
aiti-5290	322	23	)	)	PUNCT
aiti-5290	322	24	(	(	PUNCT
aiti-5290	322	25	)	)	PUNCT
aiti-5290	322	26	(	(	PUNCT
aiti-5290	322	27	)	)	PUNCT
aiti-5290	322	28	2	2	NUM
aiti-5290	322	29	(	(	PUNCT
aiti-5290	322	30	)	)	PUNCT
aiti-5290	322	31	(	(	PUNCT
aiti-5290	322	32	)	)	PUNCT
aiti-5290	322	33	(	(	PUNCT
aiti-5290	322	34	)	)	PUNCT
aiti-5290	322	35	(	(	PUNCT
aiti-5290	322	36	)	)	PUNCT
aiti-5290	322	37	(	(	PUNCT
aiti-5290	322	38	)	)	PUNCT
aiti-5290	322	39	(	(	PUNCT
aiti-5290	322	40	)	)	PUNCT
aiti-5290	322	41	(	(	PUNCT
aiti-5290	322	42	)	)	PUNCT
aiti-5290	322	43	2	2	NUM
aiti-5290	322	44	2	2	NUM
aiti-5290	322	45	(	(	PUNCT
aiti-5290	322	46	)	)	PUNCT
aiti-5290	322	47	(	(	PUNCT
aiti-5290	322	48	)	)	PUNCT
aiti-5290	322	49	(	(	PUNCT
aiti-5290	322	50	)	)	PUNCT
aiti-5290	322	51	(	(	PUNCT
aiti-5290	322	52	)	)	PUNCT
aiti-5290	322	53	(	(	PUNCT
aiti-5290	322	54	)	)	PUNCT
aiti-5290	322	55	[	[	PUNCT
aiti-5290	322	56	(	(	PUNCT
aiti-5290	322	57	)	)	PUNCT
aiti-5290	322	58	]	]	PUNCT
aiti-5290	322	59	(	(	PUNCT
aiti-5290	322	60	)	)	PUNCT
aiti-5290	323	1	[	[	X
aiti-5290	323	2	(	(	PUNCT
aiti-5290	323	3	)	)	PUNCT
aiti-5290	323	4	]	]	PUNCT
aiti-5290	323	5	1	1	X
aiti-5290	323	6	{	{	PUNCT
aiti-5290	323	7	[	[	PUNCT
aiti-5290	323	8	(	(	PUNCT
aiti-5290	323	9	)	)	PUNCT
aiti-5290	323	10	]	]	PUNCT
aiti-5290	323	11	2	2	X
aiti-5290	323	12	i	i	PRON
aiti-5290	323	13	i	i	PRON
aiti-5290	324	1	i	i	PRON
aiti-5290	324	2	i	i	PRON
aiti-5290	325	1	i	i	PRON
aiti-5290	325	2	i	i	PRON
aiti-5290	326	1	i	i	PRON
aiti-5290	326	2	i	i	PRON
aiti-5290	327	1	i	i	PRON
aiti-5290	327	2	i	i	PRON
aiti-5290	328	1	i	i	PRON
aiti-5290	328	2	z	z	VERB
aiti-5290	329	1	i	i	PRON
aiti-5290	329	2	yy	yy	INTJ
aiti-5290	330	1	i	i	PRON
aiti-5290	330	2	xx	xx	VERB
aiti-5290	331	1	i	i	PRON
aiti-5290	331	2	i	i	PRON
aiti-5290	332	1	yy	yy	INTJ
aiti-5290	333	1	i	i	PRON
aiti-5290	333	2	i	i	PRON
aiti-5290	334	1	i	i	PRON
aiti-5290	334	2	i	i	PRON
aiti-5290	335	1	i	i	VERB
aiti-5290	335	2	x	x	VERB
aiti-5290	336	1	yy	yy	INTJ
aiti-5290	336	2	zz	zz	INTJ
aiti-5290	337	1	i	i	PRON
aiti-5290	337	2	i	i	PRON
aiti-5290	338	1	i	i	PRON
aiti-5290	338	2	i	i	PRON
aiti-5290	339	1	i	i	PRON
aiti-5290	339	2	i	i	PRON
aiti-5290	340	1	i	i	PRON
aiti-5290	340	2	i	i	VERB
aiti-5290	340	3	l	l	NOUN
aiti-5290	340	4	x	x	VERB
aiti-5290	341	1	i	i	PRON
aiti-5290	341	2	i	i	PRON
aiti-5290	342	1	i	i	PRON
aiti-5290	342	2	i	i	PRON
aiti-5290	343	1	i	i	VERB
aiti-5290	343	2	l	l	NOUN
aiti-5290	343	3	m	m	VERB
aiti-5290	343	4	w	w	PROPN
aiti-5290	343	5	c	c	PROPN
aiti-5290	343	6	w	w	PROPN
aiti-5290	344	1	d	d	PROPN
aiti-5290	344	2	w	w	PROPN
aiti-5290	344	3	d	d	X
aiti-5290	344	4	v	v	PROPN
aiti-5290	344	5	d	d	X
aiti-5290	344	6	w	w	PROPN
aiti-5290	344	7	v	v	PROPN
aiti-5290	344	8	v	v	PROPN
aiti-5290	344	9	w	w	PROPN
aiti-5290	344	10	w	w	PROPN
aiti-5290	345	1	d	d	PROPN
aiti-5290	345	2	d	d	PROPN
aiti-5290	345	3	v	v	PROPN
aiti-5290	345	4	w	w	PROPN
aiti-5290	345	5	v	v	PROPN
aiti-5290	345	6	w	w	PROPN
aiti-5290	345	7	v	v	ADP
aiti-5290	345	8	dx	dx	PROPN
aiti-5290	345	9	w	w	PROPN
aiti-5290	345	10	m	m	PROPN
aiti-5290	345	11	v	v	PROPN
aiti-5290	345	12	w	w	PROPN
aiti-5290	345	13	dx	dx	PROPN
aiti-5290	345	14	γ	γ	PROPN
aiti-5290	345	15	γ	γ	X
aiti-5290	345	16	γ	γ	X
aiti-5290	345	17	−	−	PROPN
aiti-5290	345	18	−	−	PROPN
aiti-5290	345	19	′′	′′	PROPN
aiti-5290	345	20	′′	′′	PROPN
aiti-5290	345	21	′	′	NOUN
aiti-5290	346	1	′′	′′	PROPN
aiti-5290	346	2	′	′	NUM
aiti-5290	347	1	′	′	NUM
aiti-5290	347	2	′	′	NUM
aiti-5290	348	1	′′	′′	NOUN
aiti-5290	348	2	′	′	NUM
aiti-5290	348	3	′′	′′	NOUN
aiti-5290	348	4	′	′	NOUN
aiti-5290	348	5	′+	′+	PUNCT
aiti-5290	348	6	=	=	PUNCT
aiti-5290	349	1	−	−	PROPN
aiti-5290	350	1	+	+	CCONJ
aiti-5290	350	2	−	−	PROPN
aiti-5290	350	3	+	+	CCONJ
aiti-5290	350	4	′′	′′	PROPN
aiti-5290	350	5	′′	′′	PROPN
aiti-5290	350	6	′	′	NOUN
aiti-5290	350	7	′′′	′′′	VERB
aiti-5290	351	1	′′	′′	PROPN
aiti-5290	351	2	′	′	NOUN
aiti-5290	351	3	′+	′+	PUNCT
aiti-5290	351	4	−	−	PROPN
aiti-5290	352	1	+	+	CCONJ
aiti-5290	352	2	+	+	NUM
aiti-5290	352	3	′	′	NUM
aiti-5290	353	1	′	′	NUM
aiti-5290	353	2	′−	′−	PROPN
aiti-5290	354	1	+	+	CCONJ
aiti-5290	355	1	∫	∫	PROPN
aiti-5290	355	2	∫	∫	PROPN
aiti-5290	355	3	ɺɺ	ɺɺ	PROPN
aiti-5290	356	1	ɺ	ɺ	PROPN
aiti-5290	356	2	ɺɺ	ɺɺ	PROPN
aiti-5290	356	3	}	}	PUNCT
aiti-5290	357	1	i	i	PRON
aiti-5290	357	2	i	i	INTJ
aiti-5290	357	3	x	x	VERB
aiti-5290	358	1	i	i	NOUN
aiti-5290	358	2	z	z	NOUN
aiti-5290	358	3	l	l	NOUN
aiti-5290	358	4	dx	dx	PROPN
aiti-5290	358	5	f′	f′	PROPN
aiti-5290	359	1	+	+	PROPN
aiti-5290	359	2	∫	∫	PROPN
aiti-5290	359	3	(	(	PUNCT
aiti-5290	359	4	28	28	NUM
aiti-5290	359	5	)	)	PUNCT
aiti-5290	359	6	1	1	NUM
aiti-5290	359	7	2	2	NUM
aiti-5290	359	8	2	2	NUM
aiti-5290	359	9	(	(	PUNCT
aiti-5290	359	10	)	)	PUNCT
aiti-5290	359	11	(	(	PUNCT
aiti-5290	359	12	)	)	PUNCT
aiti-5290	359	13	(	(	PUNCT
aiti-5290	359	14	)	)	PUNCT
aiti-5290	359	15	(	(	PUNCT
aiti-5290	359	16	)	)	PUNCT
aiti-5290	359	17	(	(	PUNCT
aiti-5290	359	18	)	)	PUNCT
aiti-5290	359	19	(	(	PUNCT
aiti-5290	359	20	)	)	PUNCT
aiti-5290	359	21	(	(	PUNCT
aiti-5290	359	22	)	)	PUNCT
aiti-5290	359	23	(	(	PUNCT
aiti-5290	359	24	)	)	PUNCT
aiti-5290	359	25	(	(	PUNCT
aiti-5290	359	26	)	)	PUNCT
aiti-5290	359	27	(	(	PUNCT
aiti-5290	359	28	)	)	PUNCT
aiti-5290	359	29	(	(	PUNCT
aiti-5290	359	30	)	)	PUNCT
aiti-5290	359	31	(	(	PUNCT
aiti-5290	359	32	)	)	PUNCT
aiti-5290	359	33	2	2	NUM
aiti-5290	359	34	2	2	NUM
aiti-5290	359	35	(	(	PUNCT
aiti-5290	359	36	)	)	PUNCT
aiti-5290	359	37	(	(	PUNCT
aiti-5290	359	38	)	)	PUNCT
aiti-5290	359	39	(	(	PUNCT
aiti-5290	359	40	)	)	PUNCT
aiti-5290	359	41	(	(	PUNCT
aiti-5290	359	42	)	)	PUNCT
aiti-5290	359	43	(	(	PUNCT
aiti-5290	359	44	)	)	PUNCT
aiti-5290	359	45	(	(	PUNCT
aiti-5290	359	46	)	)	PUNCT
aiti-5290	359	47	(	(	PUNCT
aiti-5290	359	48	)	)	PUNCT
aiti-5290	360	1	[	[	X
aiti-5290	360	2	(	(	PUNCT
aiti-5290	360	3	)	)	PUNCT
aiti-5290	360	4	]	]	PUNCT
aiti-5290	361	1	[	[	X
aiti-5290	361	2	(	(	PUNCT
aiti-5290	361	3	)	)	PUNCT
aiti-5290	361	4	(	(	PUNCT
aiti-5290	361	5	)	)	PUNCT
aiti-5290	361	6	]	]	PUNCT
aiti-5290	361	7	(	(	PUNCT
aiti-5290	361	8	)	)	PUNCT
aiti-5290	361	9	[	[	X
aiti-5290	361	10	(	(	PUNCT
aiti-5290	361	11	)	)	PUNCT
aiti-5290	361	12	]	]	PUNCT
aiti-5290	362	1	i	i	PRON
aiti-5290	363	1	i	i	PRON
aiti-5290	364	1	i	i	PRON
aiti-5290	365	1	i	i	PRON
aiti-5290	366	1	i	i	PRON
aiti-5290	367	1	i	i	PRON
aiti-5290	368	1	i	i	PRON
aiti-5290	369	1	i	i	PRON
aiti-5290	370	1	i	i	VERB
aiti-5290	370	2	x	x	VERB
aiti-5290	371	1	i	i	NOUN
aiti-5290	371	2	x	x	VERB
aiti-5290	372	1	i	i	NOUN
aiti-5290	372	2	xx	xx	VERB
aiti-5290	373	1	i	i	PRON
aiti-5290	373	2	zz	zz	INTJ
aiti-5290	374	1	yy	yy	INTJ
aiti-5290	375	1	i	i	PRON
aiti-5290	376	1	i	i	PRON
aiti-5290	377	1	i	i	PRON
aiti-5290	378	1	i	i	PRON
aiti-5290	379	1	i	i	VERB
aiti-5290	379	2	x	x	VERB
aiti-5290	380	1	x	x	VERB
aiti-5290	380	2	i	i	PRON
aiti-5290	381	1	i	i	PRON
aiti-5290	381	2	i	i	PRON
aiti-5290	382	1	i	i	PRON
aiti-5290	383	1	i	i	VERB
aiti-5290	383	2	l	l	VERB
aiti-5290	384	1	y	y	INTJ
aiti-5290	384	2	z	z	VERB
aiti-5290	385	1	i	i	PRON
aiti-5290	385	2	i	i	PRON
aiti-5290	386	1	i	i	PRON
aiti-5290	386	2	i	i	PRON
aiti-5290	387	1	i	i	VERB
aiti-5290	387	2	x	x	VERB
aiti-5290	388	1	j	j	NOUN
aiti-5290	388	2	c	c	NOUN
aiti-5290	389	1	d	d	PROPN
aiti-5290	389	2	d	d	PROPN
aiti-5290	389	3	d	d	X
aiti-5290	389	4	v	v	X
aiti-5290	389	5	w	w	PROPN
aiti-5290	389	6	v	v	PROPN
aiti-5290	389	7	w	w	PROPN
aiti-5290	389	8	j	j	PROPN
aiti-5290	389	9	v	v	PROPN
aiti-5290	389	10	w	w	PROPN
aiti-5290	389	11	dx	dx	PROPN
aiti-5290	389	12	v	v	PROPN
aiti-5290	389	13	w	w	PROPN
aiti-5290	389	14	j	j	PROPN
aiti-5290	389	15	j	j	PROPN
aiti-5290	389	16	v	v	PROPN
aiti-5290	389	17	w	w	PROPN
aiti-5290	389	18	w	w	PROPN
aiti-5290	389	19	v	v	PROPN
aiti-5290	389	20	m	m	PROPN
aiti-5290	389	21	γ	γ	PROPN
aiti-5290	389	22	γ	γ	X
aiti-5290	389	23	γ	γ	X
aiti-5290	389	24	γ	γ	X
aiti-5290	389	25	γ	γ	X
aiti-5290	389	26	−	−	PROPN
aiti-5290	389	27	′	′	NUM
aiti-5290	389	28	′	′	NUM
aiti-5290	389	29	′′	′′	PROPN
aiti-5290	389	30	′′	′′	PROPN
aiti-5290	389	31	′′	′′	PROPN
aiti-5290	389	32	′′+	′′+	NOUN
aiti-5290	389	33	=	=	PUNCT
aiti-5290	390	1	+	+	CCONJ
aiti-5290	390	2	−	−	NUM
aiti-5290	390	3	−	−	NOUN
aiti-5290	390	4	−	−	PROPN
aiti-5290	391	1	′′	′′	PROPN
aiti-5290	391	2	′	′	NOUN
aiti-5290	392	1	′	′	NUM
aiti-5290	392	2	′+	′+	PUNCT
aiti-5290	393	1	−	−	NOUN
aiti-5290	394	1	′	′	NUM
aiti-5290	395	1	′	′	NUM
aiti-5290	396	1	′	′	NUM
aiti-5290	396	2	′+	′+	PUNCT
aiti-5290	397	1	−	−	NOUN
aiti-5290	398	1	−	−	NOUN
aiti-5290	399	1	−	−	PROPN
aiti-5290	400	1	+	+	CCONJ
aiti-5290	400	2	∫	∫	PROPN
aiti-5290	400	3	ɺɺ	ɺɺ	PROPN
aiti-5290	401	1	ɺ	ɺ	INTJ
aiti-5290	401	2	ɺɺ	ɺɺ	PRON
aiti-5290	402	1	ɺ	ɺ	INTJ
aiti-5290	402	2	ɺ	ɺ	INTJ
aiti-5290	403	1	ɺ	ɺ	NOUN
aiti-5290	403	2	ɺ	ɺ	NOUN
aiti-5290	403	3	ɺ	ɺ	NOUN
aiti-5290	403	4	ɺ	ɺ	PROPN
aiti-5290	403	5	(	(	PUNCT
aiti-5290	403	6	29	29	NUM
aiti-5290	403	7	)	)	PUNCT
aiti-5290	403	8	the	the	DET
aiti-5290	403	9	index	index	NOUN
aiti-5290	403	10	i	i	NOUN
aiti-5290	403	11	=	=	NOUN
aiti-5290	403	12	1	1	NUM
aiti-5290	403	13	,	,	PUNCT
aiti-5290	403	14	2	2	NUM
aiti-5290	404	1	and	and	CCONJ
aiti-5290	404	2	represents	represent	VERB
aiti-5290	404	3	the	the	DET
aiti-5290	404	4	section	section	NOUN
aiti-5290	404	5	number	number	NOUN
aiti-5290	404	6	for	for	ADP
aiti-5290	404	7	this	this	DET
aiti-5290	404	8	beam	beam	NOUN
aiti-5290	404	9	.	.	PUNCT
aiti-5290	405	1	for	for	ADP
aiti-5290	405	2	a	a	DET
aiti-5290	405	3	circular	circular	ADJ
aiti-5290	405	4	cross	cross	ADJ
aiti-5290	405	5	-	-	ADJ
aiti-5290	405	6	section	section	ADJ
aiti-5290	405	7	beam	beam	NOUN
aiti-5290	405	8	,	,	PUNCT
aiti-5290	405	9	the	the	DET
aiti-5290	405	10	moment	moment	NOUN
aiti-5290	405	11	of	of	ADP
aiti-5290	405	12	inertia	inertia	NOUN
aiti-5290	405	13	3	3	NUM
aiti-5290	405	14	�	�	NOUN
aiti-5290	405	15	4	4	NUM
aiti-5290	405	16	=	=	SYM
aiti-5290	405	17	3	3	NUM
aiti-5290	405	18	�	�	NOUN
aiti-5290	405	19	4	4	NUM
aiti-5290	405	20	,	,	PUNCT
aiti-5290	405	21	and	and	CCONJ
aiti-5290	405	22	the	the	DET
aiti-5290	405	23	side	side	NOUN
aiti-5290	405	24	moment	moment	NOUN
aiti-5290	405	25	of	of	ADP
aiti-5290	405	26	inertia	inertia	NOUN
aiti-5290	405	27	ratio	ratio	NOUN
aiti-5290	405	28	equals	equal	VERB
aiti-5290	405	29	1	1	NUM
aiti-5290	405	30	(	(	PUNCT
aiti-5290	405	31	�	�	NOUN
aiti-5290	405	32	�	�	NOUN
aiti-5290	405	33	4	4	NUM
aiti-5290	405	34	=	=	SYM
aiti-5290	405	35	1	1	NUM
aiti-5290	405	36	)	)	PUNCT
aiti-5290	405	37	,	,	PUNCT
aiti-5290	405	38	the	the	DET
aiti-5290	405	39	structural	structural	ADJ
aiti-5290	405	40	dampings	damping	NOUN
aiti-5290	405	41	in	in	ADP
aiti-5290	405	42	the	the	DET
aiti-5290	405	43	yand	yand	PROPN
aiti-5290	405	44	z	z	PROPN
aiti-5290	405	45	-	-	PUNCT
aiti-5290	405	46	dir	dir	PROPN
aiti-5290	405	47	are	be	AUX
aiti-5290	405	48	the	the	DET
aiti-5290	405	49	same	same	ADJ
aiti-5290	405	50	,	,	PUNCT
aiti-5290	405	51	cy=	cy=	NOUN
aiti-5290	405	52	cz	cz	VERB
aiti-5290	405	53	,	,	PUNCT
aiti-5290	405	54	the	the	DET
aiti-5290	405	55	two	two	NUM
aiti-5290	405	56	sections	section	NOUN
aiti-5290	405	57	of	of	ADP
aiti-5290	405	58	the	the	DET
aiti-5290	405	59	beam	beam	NOUN
aiti-5290	405	60	are	be	AUX
aiti-5290	405	61	using	use	VERB
aiti-5290	405	62	the	the	DET
aiti-5290	405	63	same	same	ADJ
aiti-5290	405	64	material	material	NOUN
aiti-5290	405	65	e1=	e1=	PROPN
aiti-5290	405	66	e2	e2	PROPN
aiti-5290	405	67	.	.	PUNCT
aiti-5290	406	1	the	the	DET
aiti-5290	406	2	wind	wind	NOUN
aiti-5290	406	3	force	force	NOUN
aiti-5290	406	4	applied	apply	VERB
aiti-5290	406	5	on	on	ADP
aiti-5290	406	6	the	the	DET
aiti-5290	406	7	double	double	ADJ
aiti-5290	406	8	-	-	PUNCT
aiti-5290	406	9	section	section	NOUN
aiti-5290	406	10	beam	beam	NOUN
aiti-5290	406	11	is	be	AUX
aiti-5290	406	12	uniform	uniform	ADJ
aiti-5290	406	13	and	and	CCONJ
aiti-5290	406	14	expressed	express	VERB
aiti-5290	406	15	as	as	ADP
aiti-5290	406	16	"	"	PUNCT
aiti-5290	406	17	�	�	PROPN
aiti-5290	406	18	,	,	PUNCT
aiti-5290	406	19	�	�	NOUN
aiti-5290	406	20	#	#	NOUN
aiti-5290	406	21	$	$	SYM
aiti-5290	406	22	%	%	NOUN
aiti-5290	406	23	�	�	PROPN
aiti-5290	406	24	&	&	CCONJ
aiti-5290	406	25	,	,	PUNCT
aiti-5290	406	26	'	'	PUNCT
aiti-5290	406	27	(	(	PUNCT
aiti-5290	406	28	̅	̅	VERB
aiti-5290	406	29	and	and	CCONJ
aiti-5290	406	30	is	be	AUX
aiti-5290	406	31	the	the	DET
aiti-5290	406	32	same	same	ADJ
aiti-5290	406	33	as	as	ADP
aiti-5290	406	34	in	in	ADP
aiti-5290	406	35	the	the	DET
aiti-5290	406	36	case	case	NOUN
aiti-5290	406	37	of	of	ADP
aiti-5290	406	38	uniform	uniform	ADJ
aiti-5290	406	39	beam	beam	NOUN
aiti-5290	406	40	(	(	PUNCT
aiti-5290	406	41	fig.1	fig.1	PROPN
aiti-5290	406	42	)	)	PUNCT
aiti-5290	406	43	.	.	PUNCT
aiti-5290	407	1	this	this	DET
aiti-5290	407	2	beam	beam	NOUN
aiti-5290	407	3	is	be	AUX
aiti-5290	407	4	subjected	subject	VERB
aiti-5290	407	5	to	to	ADP
aiti-5290	407	6	unsteady	unsteady	ADJ
aiti-5290	407	7	aerodynamic	aerodynamic	ADJ
aiti-5290	407	8	forces	force	NOUN
aiti-5290	407	9	in	in	ADP
aiti-5290	407	10	the	the	DET
aiti-5290	407	11	y	y	PROPN
aiti-5290	407	12	and	and	CCONJ
aiti-5290	407	13	z	z	PROPN
aiti-5290	407	14	-	-	PUNCT
aiti-5290	407	15	dir	dir	PROPN
aiti-5290	407	16	.	.	PUNCT
aiti-5290	408	1	these	these	DET
aiti-5290	408	2	forces	force	NOUN
aiti-5290	408	3	are	be	AUX
aiti-5290	408	4	expressed	express	VERB
aiti-5290	408	5	as	as	ADP
aiti-5290	408	6	�	�	PROPN
aiti-5290	408	7	)	)	PUNCT
aiti-5290	408	8	,	,	PUNCT
aiti-5290	408	9	*	*	PUNCT
aiti-5290	408	10	,	,	PUNCT
aiti-5290	408	11	where	where	SCONJ
aiti-5290	408	12	,	,	PUNCT
aiti-5290	408	13	,	,	PUNCT
aiti-5290	408	14	1	1	NUM
aiti-5290	408	15	2	2	NUM
aiti-5290	408	16	4	4	NUM
aiti-5290	408	17	,	,	PUNCT
aiti-5290	408	18	,	,	PUNCT
aiti-5290	408	19	1	1	NUM
aiti-5290	408	20	/	/	SYM
aiti-5290	408	21	/	/	SYM
aiti-5290	408	22	y	y	PROPN
aiti-5290	408	23	z	z	NOUN
aiti-5290	408	24	y	y	PROPN
aiti-5290	408	25	z	z	NOUN
aiti-5290	408	26	yy	yy	INTJ
aiti-5290	409	1	y	y	PROPN
aiti-5290	409	2	z	z	NOUN
aiti-5290	409	3	y	y	PROPN
aiti-5290	410	1	z	z	NOUN
aiti-5290	410	2	yy	yy	INTJ
aiti-5290	411	1	q	q	PROPN
aiti-5290	411	2	q	q	X
aiti-5290	412	1	d	d	X
aiti-5290	412	2	l	l	NOUN
aiti-5290	412	3	l	l	NOUN
aiti-5290	413	1	d	d	NOUN
aiti-5290	413	2	m	m	NOUN
aiti-5290	413	3	l	l	NOUN
aiti-5290	413	4	=	=	SYM
aiti-5290	413	5	ω	ω	PROPN
aiti-5290	413	6	=	=	SYM
aiti-5290	413	7	ω	ω	PROPN
aiti-5290	413	8	(	(	PUNCT
aiti-5290	413	9	30	30	NUM
aiti-5290	413	10	)	)	SYM
aiti-5290	413	11	2	2	NUM
aiti-5290	413	12	2	2	NUM
aiti-5290	413	13	3	3	NUM
aiti-5290	413	14	1	1	NUM
aiti-5290	413	15	(	(	PUNCT
aiti-5290	413	16	)	)	PUNCT
aiti-5290	413	17	(	(	PUNCT
aiti-5290	413	18	)	)	PUNCT
aiti-5290	413	19	(	(	PUNCT
aiti-5290	413	20	)	)	SYM
aiti-5290	413	21	1	1	NUM
aiti-5290	413	22	2	2	NUM
aiti-5290	413	23	3	3	NUM
aiti-5290	413	24	0	0	NUM
aiti-5290	413	25	2	2	NUM
aiti-5290	413	26	3	3	NUM
aiti-5290	413	27	2	2	NUM
aiti-5290	413	28	32	32	NUM
aiti-5290	413	29	(	(	PUNCT
aiti-5290	413	30	)	)	PUNCT
aiti-5290	413	31	(	(	PUNCT
aiti-5290	413	32	)	)	PUNCT
aiti-5290	413	33	(	(	PUNCT
aiti-5290	413	34	)	)	SYM
aiti-5290	413	35	1	1	NUM
aiti-5290	413	36	1	1	NUM
aiti-5290	413	37	2	2	NUM
aiti-5290	413	38	3	3	NUM
aiti-5290	413	39	0	0	NUM
aiti-5290	413	40	2	2	NUM
aiti-5290	413	41	3	3	NUM
aiti-5290	413	42	(	(	PUNCT
aiti-5290	413	43	,	,	PUNCT
aiti-5290	413	44	)	)	PUNCT
aiti-5290	413	45	(	(	PUNCT
aiti-5290	413	46	,	,	PUNCT
aiti-5290	413	47	)	)	PUNCT
aiti-5290	413	48	(	(	PUNCT
aiti-5290	413	49	,	,	PUNCT
aiti-5290	413	50	)	)	PUNCT
aiti-5290	413	51	...	...	PUNCT
aiti-5290	414	1	2	2	NUM
aiti-5290	414	2	(	(	PUNCT
aiti-5290	414	3	,	,	PUNCT
aiti-5290	414	4	)	)	PUNCT
aiti-5290	414	5	(	(	PUNCT
aiti-5290	414	6	,	,	PUNCT
aiti-5290	414	7	)	)	PUNCT
aiti-5290	414	8	(	(	PUNCT
aiti-5290	414	9	,	,	PUNCT
aiti-5290	414	10	)	)	PUNCT
aiti-5290	414	11	...	...	PUNCT
aiti-5290	415	1	2	2	NUM
aiti-5290	415	2	a	a	DET
aiti-5290	415	3	y	y	NOUN
aiti-5290	415	4	i	i	PRON
aiti-5290	415	5	i	i	PRON
aiti-5290	415	6	i	i	VERB
aiti-5290	415	7	d	d	PROPN
aiti-5290	415	8	u	u	X
aiti-5290	415	9	d	d	X
aiti-5290	415	10	u	u	X
aiti-5290	415	11	d	d	X
aiti-5290	415	12	u	u	X
aiti-5290	415	13	d	d	PROPN
aiti-5290	415	14	d	d	X
aiti-5290	415	15	u	u	X
aiti-5290	415	16	y	y	PROPN
aiti-5290	415	17	y	y	PROPN
aiti-5290	415	18	y	y	INTJ
aiti-5290	415	19	i	i	PRON
aiti-5290	415	20	i	i	PRON
aiti-5290	415	21	ia	ia	VERB
aiti-5290	415	22	z	z	VERB
aiti-5290	415	23	a	a	DET
aiti-5290	415	24	u	u	NOUN
aiti-5290	415	25	a	a	DET
aiti-5290	415	26	u	u	NOUN
aiti-5290	415	27	a	a	DET
aiti-5290	415	28	u	u	NOUN
aiti-5290	415	29	a	a	DET
aiti-5290	415	30	a	a	DET
aiti-5290	415	31	u	u	NOUN
aiti-5290	415	32	z	z	PROPN
aiti-5290	415	33	z	z	NOUN
aiti-5290	415	34	z	z	NOUN
aiti-5290	415	35	u	u	NOUN
aiti-5290	415	36	d	d	X
aiti-5290	415	37	y	y	PROPN
aiti-5290	415	38	x	x	SYM
aiti-5290	415	39	t	t	NOUN
aiti-5290	415	40	y	y	PROPN
aiti-5290	415	41	x	x	SYM
aiti-5290	415	42	t	t	NOUN
aiti-5290	415	43	y	y	PROPN
aiti-5290	415	44	x	x	X
aiti-5290	415	45	ta	ta	ADP
aiti-5290	415	46	a	a	DET
aiti-5290	415	47	a	a	DET
aiti-5290	415	48	f	f	NOUN
aiti-5290	415	49	a	a	DET
aiti-5290	415	50	u	u	NOUN
aiti-5290	415	51	t	t	PROPN
aiti-5290	415	52	t	t	X
aiti-5290	415	53	tu	tu	X
aiti-5290	415	54	u	u	PROPN
aiti-5290	415	55	z	z	PROPN
aiti-5290	415	56	x	x	SYM
aiti-5290	415	57	t	t	PROPN
aiti-5290	415	58	z	z	NOUN
aiti-5290	415	59	x	x	SYM
aiti-5290	415	60	t	t	PROPN
aiti-5290	415	61	z	z	NOUN
aiti-5290	415	62	x	x	PROPN
aiti-5290	415	63	tu	tu	PROPN
aiti-5290	415	64	d	d	PROPN
aiti-5290	415	65	a	a	PRON
aiti-5290	415	66	a	a	DET
aiti-5290	415	67	a	a	DET
aiti-5290	415	68	f	f	NOUN
aiti-5290	415	69	a	a	DET
aiti-5290	415	70	u	u	NOUN
aiti-5290	415	71	t	t	PROPN
aiti-5290	415	72	t	t	X
aiti-5290	415	73	tu	tu	X
aiti-5290	415	74	u	u	PROPN
aiti-5290	415	75	ρ	ρ	PROPN
aiti-5290	415	76	ρ	ρ	PROPN
aiti-5290	415	77			PROPN
aiti-5290	415	78			PROPN
aiti-5290	415	79	∂	∂	PROPN
aiti-5290	415	80	∂	∂	NOUN
aiti-5290	415	81	∂	∂	NOUN
aiti-5290	415	82	=	=	NOUN
aiti-5290	416	1	+	+	PUNCT
aiti-5290	416	2	+	+	PUNCT
aiti-5290	416	3	+	+	CCONJ
aiti-5290	416	4	+	+	ADJ
aiti-5290	416	5			ADJ
aiti-5290	416	6			NOUN
aiti-5290	416	7			X
aiti-5290	416	8	∂	∂	X
aiti-5290	416	9	∂	∂	NOUN
aiti-5290	417	1	∂	∂	VERB
aiti-5290	417	2			NOUN
aiti-5290	417	3			PUNCT
aiti-5290	418	1			NOUN
aiti-5290	418	2			PROPN
aiti-5290	418	3	∂	∂	PRON
aiti-5290	418	4	∂	∂	NOUN
aiti-5290	418	5	∂	∂	PROPN
aiti-5290	418	6	=	=	PUNCT
aiti-5290	419	1	+	+	PUNCT
aiti-5290	420	1	+	+	PUNCT
aiti-5290	420	2	+	+	CCONJ
aiti-5290	420	3	+	+	PRON
aiti-5290	420	4			NOUN
aiti-5290	420	5			NOUN
aiti-5290	420	6			NOUN
aiti-5290	420	7	∂	∂	X
aiti-5290	420	8	∂	∂	NOUN
aiti-5290	420	9	∂	∂	NOUN
aiti-5290	420	10			X
aiti-5290	420	11	(	(	PUNCT
aiti-5290	420	12	31	31	NUM
aiti-5290	420	13	)	)	PUNCT
aiti-5290	420	14	advances	advance	NOUN
aiti-5290	420	15	in	in	ADP
aiti-5290	420	16	technology	technology	NOUN
aiti-5290	420	17	innovation	innovation	NOUN
aiti-5290	420	18	,	,	PUNCT
aiti-5290	420	19	vol	vol	NOUN
aiti-5290	420	20	.	.	PROPN
aiti-5290	420	21	5	5	NUM
aiti-5290	420	22	,	,	PUNCT
aiti-5290	420	23	no	no	INTJ
aiti-5290	420	24	.	.	NOUN
aiti-5290	420	25	4	4	NUM
aiti-5290	420	26	,	,	PUNCT
aiti-5290	420	27	2020	2020	NUM
aiti-5290	420	28	,	,	PUNCT
aiti-5290	420	29	pp	pp	ADV
aiti-5290	420	30	.	.	PUNCT
aiti-5290	421	1	270	270	NUM
aiti-5290	421	2	-	-	SYM
aiti-5290	421	3	291	291	NUM
aiti-5290	421	4	276	276	NUM
aiti-5290	421	5	the	the	DET
aiti-5290	421	6	dimensionless	dimensionless	NOUN
aiti-5290	421	7	forms	form	NOUN
aiti-5290	421	8	are	be	AUX
aiti-5290	421	9	:	:	PUNCT
aiti-5290	421	10	2	2	NUM
aiti-5290	421	11	3	3	NUM
aiti-5290	421	12	0	0	NUM
aiti-5290	421	13	1	1	NUM
aiti-5290	421	14	2	2	NUM
aiti-5290	421	15	3	3	NUM
aiti-5290	421	16	2	2	NUM
aiti-5290	421	17	3	3	NUM
aiti-5290	421	18	0	0	NUM
aiti-5290	421	19	1	1	NUM
aiti-5290	421	20	2	2	NUM
aiti-5290	421	21	3	3	NUM
aiti-5290	421	22	ˆ	ˆ	NOUN
aiti-5290	421	23	ˆ	ˆ	NOUN
aiti-5290	421	24	ˆ	ˆ	NOUN
aiti-5290	421	25	ˆ	ˆ	ADV
aiti-5290	421	26	...	...	PUNCT
aiti-5290	421	27	,	,	PUNCT
aiti-5290	421	28	ˆ	ˆ	PRON
aiti-5290	421	29	ˆ	ˆ	NOUN
aiti-5290	421	30	ˆ	ˆ	NOUN
aiti-5290	421	31	ˆ	ˆ	ADV
aiti-5290	421	32	...	...	PUNCT
aiti-5290	421	33	,	,	PUNCT
aiti-5290	422	1	d	d	X
aiti-5290	422	2	d	d	PUNCT
aiti-5290	422	3	u	u	X
aiti-5290	422	4	d	d	X
aiti-5290	422	5	u	u	X
aiti-5290	422	6	d	d	X
aiti-5290	422	7	u	u	X
aiti-5290	422	8	d	d	X
aiti-5290	422	9	u	u	PROPN
aiti-5290	422	10	a	a	PRON
aiti-5290	422	11	a	a	DET
aiti-5290	422	12	u	u	NOUN
aiti-5290	422	13	a	a	DET
aiti-5290	422	14	u	u	NOUN
aiti-5290	422	15	a	a	DET
aiti-5290	422	16	u	u	NOUN
aiti-5290	422	17	a	a	DET
aiti-5290	422	18	u	u	NOUN
aiti-5290	422	19	f	f	PROPN
aiti-5290	422	20	a	a	PRON
aiti-5290	422	21	a	a	PROPN
aiti-5290	422	22	y	y	PROPN
aiti-5290	422	23	a	a	DET
aiti-5290	422	24	y	y	PROPN
aiti-5290	422	25	a	a	PRON
aiti-5290	422	26	y	y	PROPN
aiti-5290	422	27	f	f	PROPN
aiti-5290	422	28	a	a	DET
aiti-5290	422	29	a	a	PROPN
aiti-5290	422	30	z	z	NOUN
aiti-5290	422	31	a	a	DET
aiti-5290	422	32	z	z	NOUN
aiti-5290	422	33	a	a	DET
aiti-5290	422	34	z	z	NOUN
aiti-5290	422	35			NOUN
aiti-5290	422	36	=	=	PUNCT
aiti-5290	423	1	+	+	PUNCT
aiti-5290	423	2	+	+	PUNCT
aiti-5290	423	3	+	+	CCONJ
aiti-5290	423	4	+	+	ADJ
aiti-5290	423	5			ADJ
aiti-5290	423	6			X
aiti-5290	423	7	=	=	X
aiti-5290	423	8	+	+	PROPN
aiti-5290	424	1	+	+	CCONJ
aiti-5290	425	1	+	+	CCONJ
aiti-5290	426	1	+	+	ADJ
aiti-5290	426	2			ADJ
aiti-5290	426	3	ɺ	ɺ	ADP
aiti-5290	426	4	ɺ	ɺ	INTJ
aiti-5290	426	5	ɺ	ɺ	NOUN
aiti-5290	426	6	ɺ	ɺ	NOUN
aiti-5290	426	7	ɺ	ɺ	NOUN
aiti-5290	426	8	ɺ	ɺ	NOUN
aiti-5290	426	9	(	(	PUNCT
aiti-5290	426	10	32	32	NUM
aiti-5290	426	11	)	)	PUNCT
aiti-5290	426	12	where	where	SCONJ
aiti-5290	426	13	2	2	NUM
aiti-5290	426	14	1	1	NUM
aiti-5290	426	15	0	0	NUM
aiti-5290	426	16	0	0	NUM
aiti-5290	426	17	2	2	NUM
aiti-5290	426	18	1	1	NUM
aiti-5290	426	19	ˆ	ˆ	ADP
aiti-5290	426	20	2	2	NUM
aiti-5290	426	21	a	a	DET
aiti-5290	426	22	y	y	NOUN
aiti-5290	426	23	d	d	X
aiti-5290	426	24	u	u	PROPN
aiti-5290	426	25	d	d	X
aiti-5290	426	26	u	u	X
aiti-5290	426	27	u	u	X
aiti-5290	426	28	d	d	PROPN
aiti-5290	426	29	a	a	PRON
aiti-5290	426	30	a	a	DET
aiti-5290	426	31	m	m	NOUN
aiti-5290	426	32	ρ	ρ	NOUN
aiti-5290	426	33	ω	ω	NOUN
aiti-5290	426	34	=	=	SYM
aiti-5290	426	35	(	(	PUNCT
aiti-5290	426	36	33	33	NUM
aiti-5290	426	37	)	)	SYM
aiti-5290	426	38	1	1	NUM
aiti-5290	426	39	1	1	NUM
aiti-5290	426	40	1	1	NUM
aiti-5290	426	41	2	2	NUM
aiti-5290	426	42	1	1	NUM
aiti-5290	426	43	ˆ	ˆ	ADP
aiti-5290	426	44	2	2	NUM
aiti-5290	426	45	a	a	DET
aiti-5290	426	46	y	y	NOUN
aiti-5290	426	47	d	d	X
aiti-5290	426	48	u	u	PROPN
aiti-5290	426	49	d	d	X
aiti-5290	426	50	u	u	X
aiti-5290	426	51	u	u	X
aiti-5290	426	52	d	d	PROPN
aiti-5290	426	53	a	a	PRON
aiti-5290	426	54	a	a	DET
aiti-5290	426	55	m	m	NOUN
aiti-5290	426	56	ρ	ρ	NOUN
aiti-5290	426	57	ω	ω	NOUN
aiti-5290	426	58	=	=	SYM
aiti-5290	426	59	(	(	PUNCT
aiti-5290	426	60	34	34	NUM
aiti-5290	426	61	)	)	SYM
aiti-5290	426	62	1	1	NUM
aiti-5290	426	63	2	2	NUM
aiti-5290	426	64	2	2	NUM
aiti-5290	426	65	2	2	NUM
aiti-5290	426	66	1	1	NUM
aiti-5290	426	67	ˆ	ˆ	NOUN
aiti-5290	426	68	2	2	NUM
aiti-5290	426	69	a	a	DET
aiti-5290	426	70	d	d	X
aiti-5290	426	71	u	u	X
aiti-5290	426	72	d	d	X
aiti-5290	426	73	u	u	X
aiti-5290	426	74	d	d	X
aiti-5290	426	75	a	a	PRON
aiti-5290	426	76	a	a	DET
aiti-5290	426	77	m	m	NOUN
aiti-5290	426	78	ρ	ρ	NOUN
aiti-5290	426	79	ω	ω	NOUN
aiti-5290	426	80	=	=	SYM
aiti-5290	426	81	(	(	PUNCT
aiti-5290	426	82	35	35	NUM
aiti-5290	426	83	)	)	PUNCT
aiti-5290	426	84	1	1	NUM
aiti-5290	426	85	3	3	NUM
aiti-5290	426	86	3	3	NUM
aiti-5290	426	87	2	2	NUM
aiti-5290	426	88	1	1	NUM
aiti-5290	426	89	ˆ	ˆ	NOUN
aiti-5290	426	90	2	2	NUM
aiti-5290	426	91	a	a	PRON
aiti-5290	426	92	d	d	X
aiti-5290	426	93	u	u	NOUN
aiti-5290	426	94	d	d	PROPN
aiti-5290	426	95	u	u	X
aiti-5290	426	96	y	y	PROPN
aiti-5290	426	97	d	d	PROPN
aiti-5290	426	98	a	a	PRON
aiti-5290	426	99	a	a	DET
aiti-5290	426	100	m	m	NOUN
aiti-5290	426	101	u	u	NOUN
aiti-5290	426	102	ρ	ρ	PROPN
aiti-5290	426	103	ω	ω	NOUN
aiti-5290	426	104	=	=	SYM
aiti-5290	426	105	(	(	PUNCT
aiti-5290	426	106	36	36	NUM
aiti-5290	426	107	)	)	SYM
aiti-5290	426	108	2	2	NUM
aiti-5290	426	109	1	1	NUM
aiti-5290	426	110	0	0	NUM
aiti-5290	426	111	0	0	NUM
aiti-5290	426	112	2	2	NUM
aiti-5290	426	113	1	1	NUM
aiti-5290	426	114	ˆ	ˆ	NOUN
aiti-5290	426	115	2	2	NUM
aiti-5290	426	116	a	a	DET
aiti-5290	426	117	z	z	NOUN
aiti-5290	426	118	a	a	DET
aiti-5290	426	119	u	u	NOUN
aiti-5290	426	120	a	a	DET
aiti-5290	426	121	u	u	X
aiti-5290	426	122	u	u	NOUN
aiti-5290	426	123	d	d	PROPN
aiti-5290	426	124	a	a	PRON
aiti-5290	426	125	a	a	DET
aiti-5290	426	126	m	m	NOUN
aiti-5290	426	127	ρ	ρ	NOUN
aiti-5290	426	128	ω	ω	NOUN
aiti-5290	426	129	=	=	SYM
aiti-5290	426	130	(	(	PUNCT
aiti-5290	426	131	37	37	NUM
aiti-5290	426	132	)	)	SYM
aiti-5290	426	133	1	1	NUM
aiti-5290	426	134	1	1	NUM
aiti-5290	426	135	1	1	NUM
aiti-5290	426	136	2	2	NUM
aiti-5290	426	137	1	1	NUM
aiti-5290	426	138	ˆ	ˆ	NOUN
aiti-5290	426	139	2	2	NUM
aiti-5290	426	140	a	a	DET
aiti-5290	426	141	z	z	NOUN
aiti-5290	426	142	a	a	DET
aiti-5290	426	143	u	u	NOUN
aiti-5290	426	144	a	a	DET
aiti-5290	426	145	u	u	X
aiti-5290	426	146	u	u	NOUN
aiti-5290	426	147	d	d	PROPN
aiti-5290	426	148	a	a	PRON
aiti-5290	426	149	a	a	DET
aiti-5290	426	150	m	m	NOUN
aiti-5290	426	151	ρ	ρ	NOUN
aiti-5290	426	152	ω	ω	NOUN
aiti-5290	426	153	=	=	SYM
aiti-5290	426	154	(	(	PUNCT
aiti-5290	426	155	38	38	NUM
aiti-5290	426	156	)	)	SYM
aiti-5290	426	157	1	1	NUM
aiti-5290	426	158	2	2	NUM
aiti-5290	426	159	2	2	NUM
aiti-5290	426	160	2	2	NUM
aiti-5290	426	161	1	1	NUM
aiti-5290	426	162	ˆ	ˆ	NOUN
aiti-5290	426	163	2	2	NUM
aiti-5290	426	164	a	a	DET
aiti-5290	426	165	a	a	DET
aiti-5290	426	166	u	u	NOUN
aiti-5290	426	167	a	a	DET
aiti-5290	426	168	u	u	NOUN
aiti-5290	426	169	d	d	X
aiti-5290	426	170	a	a	PRON
aiti-5290	426	171	a	a	DET
aiti-5290	426	172	m	m	NOUN
aiti-5290	426	173	ρ	ρ	NOUN
aiti-5290	426	174	ω	ω	NOUN
aiti-5290	426	175	=	=	SYM
aiti-5290	426	176	(	(	PUNCT
aiti-5290	426	177	39	39	NUM
aiti-5290	426	178	)	)	PUNCT
aiti-5290	426	179	1	1	NUM
aiti-5290	426	180	3	3	NUM
aiti-5290	426	181	3	3	NUM
aiti-5290	426	182	2	2	NUM
aiti-5290	426	183	1	1	NUM
aiti-5290	426	184	ˆ	ˆ	ADP
aiti-5290	426	185	2	2	NUM
aiti-5290	426	186	a	a	DET
aiti-5290	426	187	a	a	DET
aiti-5290	426	188	u	u	NOUN
aiti-5290	426	189	a	a	DET
aiti-5290	426	190	u	u	NOUN
aiti-5290	426	191	z	z	PROPN
aiti-5290	426	192	d	d	PROPN
aiti-5290	426	193	a	a	DET
aiti-5290	426	194	a	a	DET
aiti-5290	426	195	m	m	NOUN
aiti-5290	426	196	u	u	NOUN
aiti-5290	426	197	ρ	ρ	PROPN
aiti-5290	426	198	ω	ω	NOUN
aiti-5290	426	199	=	=	SYM
aiti-5290	426	200	(	(	PUNCT
aiti-5290	426	201	40	40	NUM
aiti-5290	426	202	)	)	PUNCT
aiti-5290	426	203	it	it	PRON
aiti-5290	426	204	is	be	AUX
aiti-5290	426	205	noted	note	VERB
aiti-5290	426	206	that	that	SCONJ
aiti-5290	426	207	eqs	eqs	PROPN
aiti-5290	426	208	.	.	PUNCT
aiti-5290	427	1	(	(	PUNCT
aiti-5290	427	2	30)-(32	30)-(32	NUM
aiti-5290	427	3	)	)	PUNCT
aiti-5290	427	4	are	be	AUX
aiti-5290	427	5	used	use	VERB
aiti-5290	427	6	for	for	ADP
aiti-5290	427	7	the	the	DET
aiti-5290	427	8	two	two	NUM
aiti-5290	427	9	-	-	PUNCT
aiti-5290	427	10	stage	stage	NOUN
aiti-5290	427	11	beam	beam	NOUN
aiti-5290	427	12	.	.	PUNCT
aiti-5290	428	1	instead	instead	ADV
aiti-5290	428	2	of	of	ADP
aiti-5290	428	3	using	use	VERB
aiti-5290	428	4	“	"	PUNCT
aiti-5290	428	5	m	m	PROPN
aiti-5290	428	6	”	"	PUNCT
aiti-5290	428	7	and	and	CCONJ
aiti-5290	428	8	“	"	PUNCT
aiti-5290	428	9	d	d	NOUN
aiti-5290	428	10	”	"	PUNCT
aiti-5290	428	11	in	in	ADP
aiti-5290	428	12	eqs	eqs	PROPN
aiti-5290	428	13	.	.	PUNCT
aiti-5290	429	1	(	(	PUNCT
aiti-5290	429	2	11)-(21	11)-(21	NUM
aiti-5290	429	3	)	)	PUNCT
aiti-5290	429	4	,	,	PUNCT
aiti-5290	429	5	eqs	eqs	PROPN
aiti-5290	429	6	.	.	PUNCT
aiti-5290	430	1	(	(	PUNCT
aiti-5290	430	2	30)-(32	30)-(32	NUM
aiti-5290	430	3	)	)	PUNCT
aiti-5290	430	4	use	use	VERB
aiti-5290	430	5	the	the	DET
aiti-5290	430	6	dimensions	dimension	NOUN
aiti-5290	430	7	of	of	ADP
aiti-5290	430	8	the	the	DET
aiti-5290	430	9	first	first	ADJ
aiti-5290	430	10	stage	stage	NOUN
aiti-5290	430	11	beam	beam	NOUN
aiti-5290	430	12	’s	’s	PART
aiti-5290	430	13	mass	mass	ADJ
aiti-5290	430	14	“	"	PUNCT
aiti-5290	430	15	m1	m1	NOUN
aiti-5290	430	16	”	"	PUNCT
aiti-5290	430	17	and	and	CCONJ
aiti-5290	430	18	the	the	DET
aiti-5290	430	19	characteristic	characteristic	ADJ
aiti-5290	430	20	length	length	NOUN
aiti-5290	430	21	“	"	PUNCT
aiti-5290	430	22	�	�	X
aiti-5290	430	23	̅0	̅0	NOUN
aiti-5290	430	24	”	"	PUNCT
aiti-5290	430	25	to	to	PART
aiti-5290	430	26	express	express	VERB
aiti-5290	430	27	the	the	DET
aiti-5290	430	28	aerodynamic	aerodynamic	ADJ
aiti-5290	430	29	forces	force	NOUN
aiti-5290	430	30	.	.	PUNCT
aiti-5290	431	1	in	in	ADP
aiti-5290	431	2	order	order	NOUN
aiti-5290	431	3	to	to	PART
aiti-5290	431	4	make	make	VERB
aiti-5290	431	5	dimensionless	dimensionless	ADJ
aiti-5290	431	6	beam	beam	NOUN
aiti-5290	431	7	equations	equation	NOUN
aiti-5290	431	8	,	,	PUNCT
aiti-5290	431	9	the	the	DET
aiti-5290	431	10	following	follow	VERB
aiti-5290	431	11	definitions	definition	NOUN
aiti-5290	431	12	are	be	AUX
aiti-5290	431	13	introduced	introduce	VERB
aiti-5290	431	14	.	.	PUNCT
aiti-5290	432	1	1	1	NUM
aiti-5290	432	2	1	1	NUM
aiti-5290	432	3	1	1	NUM
aiti-5290	432	4	1	1	NUM
aiti-5290	432	5	4	4	NUM
aiti-5290	432	6	1	1	NUM
aiti-5290	432	7	2	2	NUM
aiti-5290	432	8	2	2	NUM
aiti-5290	432	9	1	1	NUM
aiti-5290	432	10	1	1	NUM
aiti-5290	432	11	1	1	NUM
aiti-5290	432	12	1	1	NUM
aiti-5290	432	13	2	2	NUM
aiti-5290	432	14	2	2	NUM
aiti-5290	432	15	2	2	NUM
aiti-5290	432	16	1	1	NUM
aiti-5290	432	17	1	1	NUM
aiti-5290	432	18	1	1	NUM
aiti-5290	432	19	/	/	SYM
aiti-5290	432	20	,	,	PUNCT
aiti-5290	432	21	/	/	SYM
aiti-5290	432	22	,	,	PUNCT
aiti-5290	432	23	/	/	SYM
aiti-5290	432	24	,	,	PUNCT
aiti-5290	432	25	/	/	SYM
aiti-5290	432	26	,	,	PUNCT
aiti-5290	432	27	/	/	SYM
aiti-5290	432	28	/	/	SYM
aiti-5290	432	29	,	,	PUNCT
aiti-5290	432	30	/	/	SYM
aiti-5290	432	31	,	,	PUNCT
aiti-5290	432	32	/	/	SYM
aiti-5290	432	33	/	/	SYM
aiti-5290	432	34	,	,	PUNCT
aiti-5290	432	35	/	/	SYM
aiti-5290	432	36	,	,	PUNCT
aiti-5290	432	37	/	/	SYM
aiti-5290	432	38	/	/	SYM
aiti-5290	432	39	,	,	PUNCT
aiti-5290	432	40	/	/	PUNCT
aiti-5290	433	1	i	i	PRON
aiti-5290	433	2	i	i	PRON
aiti-5290	434	1	i	i	PRON
aiti-5290	434	2	i	i	PRON
aiti-5290	435	1	i	i	PRON
aiti-5290	435	2	i	i	PRON
aiti-5290	436	1	i	i	PRON
aiti-5290	436	2	i	i	PRON
aiti-5290	437	1	i	i	PRON
aiti-5290	437	2	i	i	PRON
aiti-5290	438	1	i	i	PRON
aiti-5290	438	2	i	i	PRON
aiti-5290	439	1	i	i	PRON
aiti-5290	439	2	i	i	PRON
aiti-5290	440	1	i	i	PRON
aiti-5290	440	2	i	i	PRON
aiti-5290	441	1	i	i	PRON
aiti-5290	441	2	i	i	PRON
aiti-5290	442	1	i	i	PRON
aiti-5290	442	2	i	i	PRON
aiti-5290	443	1	yy	yy	INTJ
aiti-5290	443	2	y	y	VERB
aiti-5290	444	1	y	y	PROPN
aiti-5290	444	2	yy	yy	INTJ
aiti-5290	444	3	z	z	NOUN
aiti-5290	444	4	z	z	NOUN
aiti-5290	445	1	yy	yy	INTJ
aiti-5290	445	2	x	x	PUNCT
aiti-5290	445	3	x	x	PUNCT
aiti-5290	445	4	yy	yy	INTJ
aiti-5290	445	5	x	x	PUNCT
aiti-5290	446	1	x	x	PUNCT
aiti-5290	446	2	x	x	PUNCT
aiti-5290	446	3	y	y	VERB
aiti-5290	446	4	y	y	PROPN
aiti-5290	446	5	z	z	PROPN
aiti-5290	446	6	z	z	NOUN
aiti-5290	447	1	xy	xy	INTJ
aiti-5290	447	2	xx	xx	NUM
aiti-5290	448	1	yy	yy	INTJ
aiti-5290	449	1	zy	zy	INTJ
aiti-5290	449	2	zz	zz	INTJ
aiti-5290	449	3	yy	yy	INTJ
aiti-5290	449	4	x	x	PUNCT
aiti-5290	449	5	x	x	PUNCT
aiti-5290	449	6	l	l	NOUN
aiti-5290	449	7	l	l	X
aiti-5290	449	8	l	l	X
aiti-5290	449	9	l	l	X
aiti-5290	450	1	y	y	NOUN
aiti-5290	450	2	v	v	X
aiti-5290	450	3	l	l	NOUN
aiti-5290	450	4	z	z	PROPN
aiti-5290	450	5	w	w	PROPN
aiti-5290	450	6	l	l	PROPN
aiti-5290	450	7	t	t	NOUN
aiti-5290	450	8	t	t	X
aiti-5290	451	1	d	d	X
aiti-5290	451	2	m	m	VERB
aiti-5290	451	3	l	l	NOUN
aiti-5290	451	4	c	c	NOUN
aiti-5290	451	5	c	c	NOUN
aiti-5290	451	6	l	l	NOUN
aiti-5290	451	7	m	m	VERB
aiti-5290	452	1	d	d	X
aiti-5290	452	2	c	c	NOUN
aiti-5290	452	3	c	c	NOUN
aiti-5290	452	4	l	l	NOUN
aiti-5290	452	5	m	m	VERB
aiti-5290	452	6	d	d	X
aiti-5290	452	7	c	c	NOUN
aiti-5290	452	8	c	c	NOUN
aiti-5290	452	9	m	m	PROPN
aiti-5290	452	10	d	d	NOUN
aiti-5290	452	11	j	j	PROPN
aiti-5290	452	12	j	j	PROPN
aiti-5290	452	13	j	j	PROPN
aiti-5290	452	14	m	m	PROPN
aiti-5290	452	15	l	l	PROPN
aiti-5290	452	16	j	j	PROPN
aiti-5290	453	1	j	j	PROPN
aiti-5290	453	2	m	m	PROPN
aiti-5290	453	3	l	l	PROPN
aiti-5290	453	4	j	j	PROPN
aiti-5290	454	1	j	j	PROPN
aiti-5290	454	2	m	m	PROPN
aiti-5290	454	3	l	l	NOUN
aiti-5290	455	1	d	d	PUNCT
aiti-5290	455	2	d	d	X
aiti-5290	455	3	d	d	X
aiti-5290	455	4	dµ	dµ	ADP
aiti-5290	455	5	µ	µ	NUM
aiti-5290	455	6			NOUN
aiti-5290	455	7	=	=	PUNCT
aiti-5290	455	8	=	=	PUNCT
aiti-5290	455	9	=	=	PUNCT
aiti-5290	455	10	=	=	PUNCT
aiti-5290	455	11	=	=	PUNCT
aiti-5290	455	12			X
aiti-5290	455	13			NOUN
aiti-5290	455	14	=	=	SYM
aiti-5290	456	1	=	=	PUNCT
aiti-5290	456	2	=	=	NOUN
aiti-5290	456	3			X
aiti-5290	456	4			PRON
aiti-5290	456	5			NOUN
aiti-5290	456	6	=	=	SYM
aiti-5290	457	1	=	=	PUNCT
aiti-5290	457	2	=	=	PUNCT
aiti-5290	457	3			NOUN
aiti-5290	457	4	=	=	SYM
aiti-5290	458	1	=	=	NOUN
aiti-5290	458	2			X
aiti-5290	458	3	(	(	PUNCT
aiti-5290	458	4	41	41	NUM
aiti-5290	458	5	)	)	PUNCT
aiti-5290	458	6	the	the	DET
aiti-5290	458	7	dimensionless	dimensionless	NOUN
aiti-5290	458	8	equations	equation	NOUN
aiti-5290	458	9	of	of	ADP
aiti-5290	458	10	motion	motion	NOUN
aiti-5290	458	11	of	of	ADP
aiti-5290	458	12	this	this	DET
aiti-5290	458	13	double	double	ADJ
aiti-5290	458	14	section	section	NOUN
aiti-5290	458	15	beam	beam	NOUN
aiti-5290	458	16	can	can	AUX
aiti-5290	458	17	be	be	AUX
aiti-5290	458	18	obtained	obtain	VERB
aiti-5290	458	19	as	as	ADP
aiti-5290	458	20	:	:	PUNCT
aiti-5290	458	21	(	(	PUNCT
aiti-5290	458	22	)	)	PUNCT
aiti-5290	458	23	1	1	NUM
aiti-5290	458	24	(	(	PUNCT
aiti-5290	458	25	)	)	PUNCT
aiti-5290	458	26	(	(	PUNCT
aiti-5290	458	27	)	)	PUNCT
aiti-5290	458	28	1	1	NUM
aiti-5290	458	29	(	(	PUNCT
aiti-5290	458	30	)	)	PUNCT
aiti-5290	458	31	(	(	PUNCT
aiti-5290	458	32	)	)	PUNCT
aiti-5290	458	33	(	(	PUNCT
aiti-5290	458	34	)	)	PUNCT
aiti-5290	458	35	(	(	PUNCT
aiti-5290	458	36	)	)	PUNCT
aiti-5290	458	37	(	(	PUNCT
aiti-5290	458	38	)	)	PUNCT
aiti-5290	458	39	(	(	PUNCT
aiti-5290	458	40	)	)	PUNCT
aiti-5290	458	41	(	(	PUNCT
aiti-5290	458	42	)	)	PUNCT
aiti-5290	458	43	(	(	PUNCT
aiti-5290	458	44	)	)	PUNCT
aiti-5290	458	45	2	2	NUM
aiti-5290	458	46	2	2	NUM
aiti-5290	458	47	(	(	PUNCT
aiti-5290	458	48	)	)	PUNCT
aiti-5290	458	49	(	(	PUNCT
aiti-5290	458	50	)	)	PUNCT
aiti-5290	458	51	(	(	PUNCT
aiti-5290	458	52	)	)	PUNCT
aiti-5290	458	53	0	0	NUM
aiti-5290	458	54	ˆ	ˆ	X
aiti-5290	458	55	(	(	PUNCT
aiti-5290	458	56	)	)	PUNCT
aiti-5290	458	57	(	(	PUNCT
aiti-5290	458	58	)	)	PUNCT
aiti-5290	458	59	[	[	PUNCT
aiti-5290	458	60	(	(	PUNCT
aiti-5290	458	61	)	)	PUNCT
aiti-5290	458	62	]	]	PUNCT
aiti-5290	458	63	1	1	NUM
aiti-5290	458	64	ˆ	ˆ	NOUN
aiti-5290	458	65	{	{	PUNCT
aiti-5290	458	66	[	[	PUNCT
aiti-5290	458	67	(	(	PUNCT
aiti-5290	458	68	)	)	PUNCT
aiti-5290	458	69	]	]	PUNCT
aiti-5290	458	70	,	,	PUNCT
aiti-5290	458	71	1	1	NUM
aiti-5290	458	72	,	,	PUNCT
aiti-5290	458	73	2	2	NUM
aiti-5290	458	74	}	}	SYM
aiti-5290	458	75	2	2	NUM
aiti-5290	459	1	i	i	PRON
aiti-5290	459	2	i	i	PRON
aiti-5290	460	1	i	i	VERB
aiti-5290	460	2	y	y	VERB
aiti-5290	461	1	i	i	PRON
aiti-5290	461	2	i	i	PRON
aiti-5290	461	3	iv	iv	VERB
aiti-5290	462	1	i	i	PRON
aiti-5290	463	1	i	i	INTJ
aiti-5290	463	2	y	y	VERB
aiti-5290	464	1	d	d	NOUN
aiti-5290	464	2	u	u	VERB
aiti-5290	465	1	i	i	PRON
aiti-5290	465	2	xy	xy	VERB
aiti-5290	466	1	i	i	PRON
aiti-5290	466	2	i	i	PRON
aiti-5290	467	1	i	i	PRON
aiti-5290	467	2	i	i	PRON
aiti-5290	468	1	i	i	PRON
aiti-5290	468	2	i	i	PRON
aiti-5290	469	1	i	i	VERB
aiti-5290	469	2	x	x	VERB
aiti-5290	470	1	x	x	VERB
aiti-5290	470	2	i	i	NOUN
aiti-5290	471	1	t	t	VERB
aiti-5290	471	2	i	i	PRON
aiti-5290	472	1	i	i	PRON
aiti-5290	472	2	i	i	PRON
aiti-5290	473	1	i	i	PRON
aiti-5290	474	1	i	i	VERB
aiti-5290	474	2	y	y	VERB
aiti-5290	475	1	d	d	NOUN
aiti-5290	475	2	u	u	NOUN
aiti-5290	475	3	l	l	NOUN
aiti-5290	475	4	l	l	NOUN
aiti-5290	475	5	y	y	NOUN
aiti-5290	475	6	y	y	PROPN
aiti-5290	475	7	c	c	PROPN
aiti-5290	475	8	a	a	PRON
aiti-5290	475	9	y	y	PROPN
aiti-5290	475	10	z	z	PROPN
aiti-5290	475	11	y	y	PROPN
aiti-5290	475	12	y	y	PROPN
aiti-5290	475	13	y	y	PROPN
aiti-5290	475	14	z	z	PROPN
aiti-5290	476	1	z	z	VERB
aiti-5290	476	2	y	y	PROPN
aiti-5290	477	1	y	y	PROPN
aiti-5290	477	2	z	z	PROPN
aiti-5290	477	3	dx	dx	PROPN
aiti-5290	477	4	dx	dx	PROPN
aiti-5290	477	5	q	q	PROPN
aiti-5290	478	1	e	e	PROPN
aiti-5290	478	2	a	a	X
aiti-5290	478	3	i	i	PROPN
aiti-5290	478	4	µ	µ	X
aiti-5290	478	5	γ	γ	X
aiti-5290	478	6	−	−	PROPN
aiti-5290	478	7	ω	ω	NUM
aiti-5290	478	8	′	′	NUM
aiti-5290	479	1	′′	′′	NOUN
aiti-5290	479	2	′	′	NUM
aiti-5290	480	1	′	′	NUM
aiti-5290	480	2	′	′	NUM
aiti-5290	481	1	′′	′′	NOUN
aiti-5290	481	2	′	′	NUM
aiti-5290	481	3	′′	′′	NOUN
aiti-5290	481	4	′	′	NOUN
aiti-5290	481	5	′+	′+	PUNCT
aiti-5290	481	6	=	=	PUNCT
aiti-5290	482	1	−	−	NOUN
aiti-5290	482	2	−	−	NUM
aiti-5290	483	1	−	−	NOUN
aiti-5290	483	2	−	−	PROPN
aiti-5290	484	1	+	+	CCONJ
aiti-5290	484	2	′	′	NUM
aiti-5290	484	3	′	′	NUM
aiti-5290	485	1	′	′	NUM
aiti-5290	485	2	′	′	NUM
aiti-5290	486	1	=	=	PUNCT
aiti-5290	486	2	−	−	PROPN
aiti-5290	487	1	+	+	CCONJ
aiti-5290	487	2	+	+	CCONJ
aiti-5290	488	1	+	+	NUM
aiti-5290	488	2	∫	∫	PROPN
aiti-5290	488	3	∫	∫	PROPN
aiti-5290	488	4	ɺɺ	ɺɺ	PROPN
aiti-5290	489	1	ɺ	ɺ	PROPN
aiti-5290	489	2	ɺɺ	ɺɺ	PROPN
aiti-5290	489	3	　 	　 	SPACE
aiti-5290	489	4	(	(	PUNCT
aiti-5290	489	5	42	42	NUM
aiti-5290	489	6	)	)	PUNCT
aiti-5290	489	7	(	(	PUNCT
aiti-5290	489	8	)	)	PUNCT
aiti-5290	489	9	1	1	NUM
aiti-5290	489	10	(	(	PUNCT
aiti-5290	489	11	)	)	PUNCT
aiti-5290	489	12	(	(	PUNCT
aiti-5290	489	13	)	)	PUNCT
aiti-5290	489	14	0	0	NUM
aiti-5290	490	1	(	(	PUNCT
aiti-5290	490	2	)	)	PUNCT
aiti-5290	490	3	(	(	PUNCT
aiti-5290	490	4	)	)	PUNCT
aiti-5290	490	5	(	(	PUNCT
aiti-5290	490	6	)	)	PUNCT
aiti-5290	490	7	(	(	PUNCT
aiti-5290	490	8	)	)	PUNCT
aiti-5290	490	9	(	(	PUNCT
aiti-5290	490	10	)	)	PUNCT
aiti-5290	490	11	(	(	PUNCT
aiti-5290	490	12	)	)	PUNCT
aiti-5290	490	13	(	(	PUNCT
aiti-5290	490	14	)	)	PUNCT
aiti-5290	490	15	(	(	PUNCT
aiti-5290	490	16	)	)	PUNCT
aiti-5290	490	17	2	2	NUM
aiti-5290	490	18	2	2	NUM
aiti-5290	490	19	(	(	PUNCT
aiti-5290	490	20	)	)	PUNCT
aiti-5290	490	21	(	(	PUNCT
aiti-5290	490	22	)	)	PUNCT
aiti-5290	490	23	(	(	PUNCT
aiti-5290	490	24	)	)	PUNCT
aiti-5290	490	25	0	0	NUM
aiti-5290	491	1	ˆ	ˆ	X
aiti-5290	491	2	(	(	PUNCT
aiti-5290	491	3	)	)	PUNCT
aiti-5290	491	4	(	(	PUNCT
aiti-5290	491	5	)	)	PUNCT
aiti-5290	491	6	[	[	PUNCT
aiti-5290	491	7	(	(	PUNCT
aiti-5290	491	8	)	)	PUNCT
aiti-5290	491	9	]	]	PUNCT
aiti-5290	491	10	1	1	NUM
aiti-5290	491	11	ˆ	ˆ	NOUN
aiti-5290	491	12	{	{	PUNCT
aiti-5290	491	13	[	[	PUNCT
aiti-5290	491	14	(	(	PUNCT
aiti-5290	491	15	)	)	PUNCT
aiti-5290	491	16	]	]	PUNCT
aiti-5290	491	17	,	,	PUNCT
aiti-5290	491	18	1	1	NUM
aiti-5290	491	19	,	,	PUNCT
aiti-5290	491	20	2	2	NUM
aiti-5290	491	21	}	}	SYM
aiti-5290	491	22	2	2	NUM
aiti-5290	491	23	i	i	PRON
aiti-5290	492	1	i	i	PRON
aiti-5290	493	1	i	i	PRON
aiti-5290	493	2	z	z	VERB
aiti-5290	494	1	i	i	PRON
aiti-5290	494	2	i	i	PRON
aiti-5290	494	3	iv	iv	VERB
aiti-5290	495	1	i	i	PRON
aiti-5290	495	2	i	i	PRON
aiti-5290	495	3	z	z	VERB
aiti-5290	496	1	a	a	DET
aiti-5290	496	2	u	u	NOUN
aiti-5290	497	1	i	i	PRON
aiti-5290	497	2	xy	xy	INTJ
aiti-5290	498	1	i	i	PRON
aiti-5290	498	2	i	i	PRON
aiti-5290	499	1	i	i	PRON
aiti-5290	499	2	i	i	PRON
aiti-5290	500	1	i	i	PRON
aiti-5290	500	2	i	i	PRON
aiti-5290	501	1	i	i	VERB
aiti-5290	501	2	x	x	VERB
aiti-5290	502	1	x	x	VERB
aiti-5290	502	2	i	i	NOUN
aiti-5290	503	1	t	t	VERB
aiti-5290	503	2	i	i	PRON
aiti-5290	504	1	i	i	PRON
aiti-5290	504	2	i	i	PRON
aiti-5290	505	1	i	i	PRON
aiti-5290	505	2	i	i	VERB
aiti-5290	505	3	z	z	VERB
aiti-5290	505	4	a	a	DET
aiti-5290	505	5	u	u	NOUN
aiti-5290	505	6	l	l	NOUN
aiti-5290	505	7	l	l	NOUN
aiti-5290	505	8	z	z	NOUN
aiti-5290	505	9	z	z	NOUN
aiti-5290	505	10	c	c	PROPN
aiti-5290	506	1	a	a	DET
aiti-5290	506	2	z	z	NOUN
aiti-5290	506	3	y	y	PROPN
aiti-5290	506	4	z	z	PROPN
aiti-5290	506	5	y	y	PROPN
aiti-5290	506	6	y	y	PROPN
aiti-5290	506	7	z	z	PROPN
aiti-5290	506	8	z	z	PROPN
aiti-5290	506	9	z	z	NOUN
aiti-5290	507	1	y	y	PROPN
aiti-5290	507	2	z	z	PROPN
aiti-5290	507	3	dx	dx	PROPN
aiti-5290	507	4	dx	dx	PROPN
aiti-5290	507	5	q	q	PROPN
aiti-5290	508	1	e	e	PROPN
aiti-5290	508	2	a	a	X
aiti-5290	508	3	i	i	PROPN
aiti-5290	508	4	µ	µ	X
aiti-5290	508	5	γ	γ	X
aiti-5290	508	6	−	−	PROPN
aiti-5290	508	7	ω	ω	NUM
aiti-5290	508	8	′	′	NUM
aiti-5290	509	1	′′	′′	NOUN
aiti-5290	509	2	′	′	NUM
aiti-5290	510	1	′	′	NUM
aiti-5290	510	2	′	′	NUM
aiti-5290	511	1	′′	′′	NOUN
aiti-5290	511	2	′	′	NUM
aiti-5290	511	3	′′	′′	NOUN
aiti-5290	511	4	′	′	NOUN
aiti-5290	511	5	′+	′+	PUNCT
aiti-5290	511	6	=	=	PUNCT
aiti-5290	512	1	−	−	NOUN
aiti-5290	512	2	−	−	PROPN
aiti-5290	513	1	+	+	CCONJ
aiti-5290	513	2	−	−	PROPN
aiti-5290	514	1	+	+	CCONJ
aiti-5290	514	2	′	′	NUM
aiti-5290	514	3	′	′	NUM
aiti-5290	515	1	′	′	NUM
aiti-5290	515	2	′	′	NUM
aiti-5290	516	1	=	=	PUNCT
aiti-5290	516	2	−	−	PROPN
aiti-5290	517	1	+	+	CCONJ
aiti-5290	517	2	+	+	CCONJ
aiti-5290	518	1	+	+	NUM
aiti-5290	518	2	∫	∫	PROPN
aiti-5290	518	3	∫	∫	PROPN
aiti-5290	518	4	ɺɺ	ɺɺ	PROPN
aiti-5290	519	1	ɺ	ɺ	PROPN
aiti-5290	519	2	ɺɺ	ɺɺ	PROPN
aiti-5290	519	3	　 	　 	SPACE
aiti-5290	519	4	(	(	PUNCT
aiti-5290	519	5	43	43	NUM
aiti-5290	519	6	)	)	PUNCT
aiti-5290	519	7	advances	advance	NOUN
aiti-5290	519	8	in	in	ADP
aiti-5290	519	9	technology	technology	NOUN
aiti-5290	519	10	innovation	innovation	NOUN
aiti-5290	519	11	,	,	PUNCT
aiti-5290	519	12	vol	vol	NOUN
aiti-5290	519	13	.	.	PROPN
aiti-5290	519	14	5	5	NUM
aiti-5290	519	15	,	,	PUNCT
aiti-5290	519	16	no	no	INTJ
aiti-5290	519	17	.	.	NOUN
aiti-5290	519	18	4	4	NUM
aiti-5290	519	19	,	,	PUNCT
aiti-5290	519	20	2020	2020	NUM
aiti-5290	519	21	,	,	PUNCT
aiti-5290	519	22	pp	pp	ADV
aiti-5290	519	23	.	.	PUNCT
aiti-5290	520	1	270	270	NUM
aiti-5290	520	2	-	-	SYM
aiti-5290	520	3	291	291	NUM
aiti-5290	520	4	277	277	NUM
aiti-5290	520	5	(	(	PUNCT
aiti-5290	520	6	)	)	PUNCT
aiti-5290	520	7	1	1	NUM
aiti-5290	520	8	(	(	PUNCT
aiti-5290	520	9	)	)	PUNCT
aiti-5290	520	10	(	(	PUNCT
aiti-5290	520	11	)	)	PUNCT
aiti-5290	520	12	(	(	PUNCT
aiti-5290	520	13	)	)	PUNCT
aiti-5290	520	14	(	(	PUNCT
aiti-5290	520	15	)	)	PUNCT
aiti-5290	520	16	(	(	PUNCT
aiti-5290	520	17	)	)	PUNCT
aiti-5290	520	18	(	(	PUNCT
aiti-5290	520	19	)	)	PUNCT
aiti-5290	520	20	(	(	PUNCT
aiti-5290	520	21	)	)	PUNCT
aiti-5290	520	22	(	(	PUNCT
aiti-5290	520	23	)	)	PUNCT
aiti-5290	520	24	,	,	PUNCT
aiti-5290	520	25	(	(	PUNCT
aiti-5290	520	26	1	1	NUM
aiti-5290	520	27	2	2	NUM
aiti-5290	520	28	)	)	PUNCT
aiti-5290	521	1	+	+	CCONJ
aiti-5290	521	2	,	,	PUNCT
aiti-5290	521	3	i	i	PRON
aiti-5290	521	4	i	i	PRON
aiti-5290	522	1	i	i	PRON
aiti-5290	523	1	i	i	PRON
aiti-5290	523	2	xxy	xxy	VERB
aiti-5290	524	1	i	i	PRON
aiti-5290	524	2	i	i	VERB
aiti-5290	525	1	x	x	VERB
aiti-5290	526	1	i	i	PRON
aiti-5290	526	2	i	i	PRON
aiti-5290	527	1	i	i	PRON
aiti-5290	527	2	i	i	PRON
aiti-5290	527	3	i	i	VERB
aiti-5290	527	4	x	x	VERB
aiti-5290	527	5	l	l	PUNCT
aiti-5290	527	6	x	x	PUNCT
aiti-5290	528	1	c	c	NOUN
aiti-5290	528	2	y	y	PROPN
aiti-5290	528	3	z	z	PROPN
aiti-5290	528	4	dx	dx	PROPN
aiti-5290	529	1	y	y	PROPN
aiti-5290	529	2	z	z	PROPN
aiti-5290	529	3	m	m	VERB
aiti-5290	529	4	j	j	NOUN
aiti-5290	529	5	i	i	PROPN
aiti-5290	529	6	µ	µ	VERB
aiti-5290	529	7	γ	γ	X
aiti-5290	529	8	γ	γ	X
aiti-5290	529	9	γ	γ	X
aiti-5290	529	10	−	−	ADP
aiti-5290	529	11	′′	′′	PROPN
aiti-5290	529	12	′′	′′	PROPN
aiti-5290	529	13	′	′	NOUN
aiti-5290	529	14	′	′	NUM
aiti-5290	530	1	′−	′−	PROPN
aiti-5290	530	2	=	=	PUNCT
aiti-5290	531	1	−	−	PROPN
aiti-5290	532	1	+	+	CCONJ
aiti-5290	532	2	−	−	PROPN
aiti-5290	533	1	=	=	PRON
aiti-5290	533	2	∫ɺɺ	∫ɺɺ	NOUN
aiti-5290	533	3	ɺ	ɺ	X
aiti-5290	533	4	ɺɺ	ɺɺ	PRON
aiti-5290	533	5	ɺ	ɺ	PROPN
aiti-5290	533	6	ɺ	ɺ	PROPN
aiti-5290	533	7	　 	　 	SPACE
aiti-5290	533	8	(	(	PUNCT
aiti-5290	533	9	44	44	NUM
aiti-5290	533	10	)	)	PUNCT
aiti-5290	533	11	the	the	DET
aiti-5290	533	12	boundary	boundary	ADJ
aiti-5290	533	13	conditions	condition	NOUN
aiti-5290	533	14	(	(	PUNCT
aiti-5290	533	15	eq	eq	NOUN
aiti-5290	533	16	.	.	PUNCT
aiti-5290	533	17	(	(	PUNCT
aiti-5290	533	18	45	45	NUM
aiti-5290	533	19	)	)	PUNCT
aiti-5290	533	20	)	)	PUNCT
aiti-5290	533	21	and	and	CCONJ
aiti-5290	533	22	the	the	DET
aiti-5290	533	23	compatibility	compatibility	NOUN
aiti-5290	533	24	equations	equation	NOUN
aiti-5290	533	25	(	(	PUNCT
aiti-5290	533	26	eq	eq	NOUN
aiti-5290	533	27	.	.	PUNCT
aiti-5290	533	28	(	(	PUNCT
aiti-5290	533	29	46	46	NUM
aiti-5290	533	30	)	)	PUNCT
aiti-5290	533	31	)	)	PUNCT
aiti-5290	533	32	at	at	ADP
aiti-5290	533	33	the	the	DET
aiti-5290	533	34	joint	joint	NOUN
aiti-5290	533	35	of	of	ADP
aiti-5290	533	36	the	the	DET
aiti-5290	533	37	two	two	NUM
aiti-5290	533	38	beam	beam	NOUN
aiti-5290	533	39	sections	section	NOUN
aiti-5290	533	40	are	be	AUX
aiti-5290	533	41	:	:	PUNCT
aiti-5290	533	42	(	(	PUNCT
aiti-5290	533	43	1	1	X
aiti-5290	533	44	)	)	PUNCT
aiti-5290	533	45	(	(	PUNCT
aiti-5290	533	46	1	1	X
aiti-5290	533	47	)	)	PUNCT
aiti-5290	533	48	(	(	PUNCT
aiti-5290	533	49	2	2	NUM
aiti-5290	533	50	)	)	PUNCT
aiti-5290	533	51	(	(	PUNCT
aiti-5290	533	52	2	2	NUM
aiti-5290	533	53	)	)	PUNCT
aiti-5290	533	54	(	(	PUNCT
aiti-5290	533	55	1	1	X
aiti-5290	533	56	)	)	PUNCT
aiti-5290	533	57	(	(	PUNCT
aiti-5290	533	58	1	1	X
aiti-5290	533	59	)	)	PUNCT
aiti-5290	533	60	(	(	PUNCT
aiti-5290	533	61	2	2	NUM
aiti-5290	533	62	)	)	PUNCT
aiti-5290	533	63	(	(	PUNCT
aiti-5290	533	64	2	2	NUM
aiti-5290	533	65	)	)	PUNCT
aiti-5290	533	66	(	(	PUNCT
aiti-5290	533	67	1	1	X
aiti-5290	533	68	)	)	PUNCT
aiti-5290	533	69	(	(	PUNCT
aiti-5290	533	70	2	2	NUM
aiti-5290	533	71	)	)	PUNCT
aiti-5290	533	72	(	(	PUNCT
aiti-5290	533	73	0	0	NUM
aiti-5290	533	74	,	,	PUNCT
aiti-5290	533	75	)	)	PUNCT
aiti-5290	533	76	(	(	PUNCT
aiti-5290	533	77	0	0	NUM
aiti-5290	533	78	,	,	PUNCT
aiti-5290	533	79	)	)	PUNCT
aiti-5290	533	80	(	(	PUNCT
aiti-5290	533	81	1	1	NUM
aiti-5290	533	82	,	,	PUNCT
aiti-5290	533	83	)	)	PUNCT
aiti-5290	533	84	(	(	PUNCT
aiti-5290	533	85	1	1	NUM
aiti-5290	533	86	,	,	PUNCT
aiti-5290	533	87	)	)	PUNCT
aiti-5290	533	88	0	0	PUNCT
aiti-5290	534	1	(	(	PUNCT
aiti-5290	534	2	0	0	NUM
aiti-5290	534	3	,	,	PUNCT
aiti-5290	534	4	)	)	PUNCT
aiti-5290	534	5	(	(	PUNCT
aiti-5290	534	6	0	0	NUM
aiti-5290	534	7	,	,	PUNCT
aiti-5290	534	8	)	)	PUNCT
aiti-5290	534	9	(	(	PUNCT
aiti-5290	534	10	1	1	NUM
aiti-5290	534	11	,	,	PUNCT
aiti-5290	534	12	)	)	PUNCT
aiti-5290	534	13	(	(	PUNCT
aiti-5290	534	14	1	1	NUM
aiti-5290	534	15	,	,	PUNCT
aiti-5290	534	16	)	)	PUNCT
aiti-5290	534	17	0	0	PUNCT
aiti-5290	535	1	(	(	PUNCT
aiti-5290	535	2	0	0	NUM
aiti-5290	535	3	,	,	PUNCT
aiti-5290	535	4	)	)	PUNCT
aiti-5290	535	5	(	(	PUNCT
aiti-5290	535	6	1	1	NUM
aiti-5290	535	7	,	,	PUNCT
aiti-5290	535	8	)	)	PUNCT
aiti-5290	535	9	0	0	PUNCT
aiti-5290	536	1	y	y	PROPN
aiti-5290	536	2	t	t	PROPN
aiti-5290	537	1	y	y	PROPN
aiti-5290	537	2	t	t	PROPN
aiti-5290	537	3	y	y	PROPN
aiti-5290	537	4	t	t	PROPN
aiti-5290	537	5	y	y	PROPN
aiti-5290	537	6	t	t	PROPN
aiti-5290	537	7	z	z	PROPN
aiti-5290	537	8	t	t	PROPN
aiti-5290	537	9	z	z	PROPN
aiti-5290	537	10	t	t	PROPN
aiti-5290	537	11	z	z	PROPN
aiti-5290	537	12	t	t	PROPN
aiti-5290	537	13	z	z	PROPN
aiti-5290	537	14	t	t	PROPN
aiti-5290	537	15	t	t	PROPN
aiti-5290	537	16	tγ	tγ	PROPN
aiti-5290	537	17	γ	γ	PROPN
aiti-5290	537	18	′′	′′	PROPN
aiti-5290	537	19	′′′	′′′	ADP
aiti-5290	537	20	′′	′′	PROPN
aiti-5290	537	21	′′′	′′′	PROPN
aiti-5290	537	22	=	=	PUNCT
aiti-5290	538	1	=	=	PUNCT
aiti-5290	538	2	=	=	PUNCT
aiti-5290	538	3	=	=	PUNCT
aiti-5290	538	4			PROPN
aiti-5290	538	5	′′	′′	PROPN
aiti-5290	538	6	′′′	′′′	ADP
aiti-5290	538	7	′′	′′	PROPN
aiti-5290	538	8	′′′=	′′′=	NOUN
aiti-5290	538	9	=	=	PUNCT
aiti-5290	538	10	=	=	SYM
aiti-5290	538	11	=	=	NOUN
aiti-5290	538	12			NOUN
aiti-5290	538	13			ADJ
aiti-5290	538	14	′	′	NUM
aiti-5290	538	15	′=	′=	PROPN
aiti-5290	539	1	=	=	PRON
aiti-5290	539	2			NOUN
aiti-5290	539	3	(	(	PUNCT
aiti-5290	539	4	45	45	NUM
aiti-5290	539	5	)	)	PUNCT
aiti-5290	539	6	(	(	PUNCT
aiti-5290	539	7	1	1	X
aiti-5290	539	8	)	)	PUNCT
aiti-5290	539	9	(	(	PUNCT
aiti-5290	539	10	2	2	NUM
aiti-5290	539	11	)	)	PUNCT
aiti-5290	539	12	(	(	PUNCT
aiti-5290	539	13	1	1	X
aiti-5290	539	14	)	)	PUNCT
aiti-5290	539	15	(	(	PUNCT
aiti-5290	539	16	2	2	NUM
aiti-5290	539	17	)	)	PUNCT
aiti-5290	539	18	(	(	PUNCT
aiti-5290	539	19	1	1	X
aiti-5290	539	20	)	)	PUNCT
aiti-5290	539	21	(	(	PUNCT
aiti-5290	539	22	2	2	NUM
aiti-5290	539	23	)	)	PUNCT
aiti-5290	539	24	(	(	PUNCT
aiti-5290	539	25	1	1	X
aiti-5290	539	26	)	)	PUNCT
aiti-5290	539	27	(	(	PUNCT
aiti-5290	539	28	2	2	NUM
aiti-5290	539	29	)	)	PUNCT
aiti-5290	539	30	(	(	PUNCT
aiti-5290	539	31	1	1	X
aiti-5290	539	32	)	)	PUNCT
aiti-5290	539	33	(	(	PUNCT
aiti-5290	539	34	2	2	NUM
aiti-5290	539	35	)	)	PUNCT
aiti-5290	539	36	(	(	PUNCT
aiti-5290	539	37	,	,	PUNCT
aiti-5290	539	38	)	)	PUNCT
aiti-5290	539	39	(	(	PUNCT
aiti-5290	539	40	0	0	NUM
aiti-5290	539	41	,	,	PUNCT
aiti-5290	539	42	)	)	PUNCT
aiti-5290	539	43	,	,	PUNCT
aiti-5290	539	44	(	(	PUNCT
aiti-5290	539	45	,	,	PUNCT
aiti-5290	539	46	)	)	PUNCT
aiti-5290	539	47	(	(	PUNCT
aiti-5290	539	48	0	0	NUM
aiti-5290	539	49	,	,	PUNCT
aiti-5290	539	50	)	)	PUNCT
aiti-5290	539	51	(	(	PUNCT
aiti-5290	539	52	,	,	PUNCT
aiti-5290	539	53	)	)	PUNCT
aiti-5290	539	54	(	(	PUNCT
aiti-5290	539	55	0	0	NUM
aiti-5290	539	56	,	,	PUNCT
aiti-5290	539	57	)	)	PUNCT
aiti-5290	539	58	,	,	PUNCT
aiti-5290	539	59	(	(	PUNCT
aiti-5290	539	60	,	,	PUNCT
aiti-5290	539	61	)	)	PUNCT
aiti-5290	539	62	(	(	PUNCT
aiti-5290	539	63	0	0	NUM
aiti-5290	539	64	,	,	PUNCT
aiti-5290	539	65	)	)	PUNCT
aiti-5290	539	66	(	(	PUNCT
aiti-5290	539	67	,	,	PUNCT
aiti-5290	539	68	)	)	PUNCT
aiti-5290	539	69	(	(	PUNCT
aiti-5290	539	70	0	0	NUM
aiti-5290	539	71	,	,	PUNCT
aiti-5290	539	72	)	)	PUNCT
aiti-5290	539	73	y	y	PROPN
aiti-5290	539	74	t	t	PROPN
aiti-5290	539	75	y	y	PROPN
aiti-5290	539	76	t	t	PROPN
aiti-5290	539	77	y	y	PROPN
aiti-5290	539	78	t	t	PROPN
aiti-5290	539	79	y	y	PROPN
aiti-5290	539	80	t	t	PROPN
aiti-5290	539	81	z	z	PROPN
aiti-5290	539	82	t	t	PROPN
aiti-5290	539	83	z	z	PROPN
aiti-5290	539	84	t	t	PROPN
aiti-5290	539	85	z	z	PROPN
aiti-5290	539	86	t	t	PROPN
aiti-5290	539	87	z	z	PROPN
aiti-5290	539	88	t	t	PROPN
aiti-5290	539	89	t	t	PROPN
aiti-5290	539	90	t	t	PROPN
aiti-5290	539	91	η	η	PROPN
aiti-5290	539	92	η	η	PROPN
aiti-5290	539	93	η	η	PROPN
aiti-5290	539	94	η	η	PROPN
aiti-5290	539	95	γ	γ	PROPN
aiti-5290	539	96	η	η	PROPN
aiti-5290	539	97	γ	γ	X
aiti-5290	539	98	′	′	NUM
aiti-5290	539	99	′	′	NOUN
aiti-5290	540	1	=	=	SYM
aiti-5290	540	2	=	=	PUNCT
aiti-5290	540	3			PROPN
aiti-5290	540	4	′	′	NUM
aiti-5290	540	5	′=	′=	PROPN
aiti-5290	541	1	=	=	PRON
aiti-5290	541	2			X
aiti-5290	541	3			ADJ
aiti-5290	541	4	=	=	NUM
aiti-5290	541	5			NOUN
aiti-5290	541	6	(	(	PUNCT
aiti-5290	541	7	46	46	NUM
aiti-5290	541	8	)	)	PUNCT
aiti-5290	541	9	where	where	SCONJ
aiti-5290	541	10	5	5	NUM
aiti-5290	541	11	=	=	SYM
aiti-5290	541	12	�	�	PROPN
aiti-5290	541	13	0/	0/	NUM
aiti-5290	541	14	�	�	PROPN
aiti-5290	541	15	0	0	NUM
aiti-5290	541	16	+	+	NUM
aiti-5290	541	17	�	�	PROPN
aiti-5290	541	18	6	6	NUM
aiti-5290	541	19	�	�	NOUN
aiti-5290	541	20	.	.	PUNCT
aiti-5290	542	1	2.3	2.3	NUM
aiti-5290	542	2	.	.	PUNCT
aiti-5290	543	1	preturbation	preturbation	NOUN
aiti-5290	543	2	analysis	analysis	NOUN
aiti-5290	543	3	perturbation	perturbation	NOUN
aiti-5290	543	4	methods	method	NOUN
aiti-5290	543	5	allow	allow	VERB
aiti-5290	543	6	the	the	DET
aiti-5290	543	7	researchers	researcher	NOUN
aiti-5290	543	8	to	to	PART
aiti-5290	543	9	get	get	VERB
aiti-5290	543	10	good	good	ADJ
aiti-5290	543	11	approximations	approximation	NOUN
aiti-5290	543	12	for	for	ADP
aiti-5290	543	13	systems	system	NOUN
aiti-5290	543	14	where	where	SCONJ
aiti-5290	543	15	the	the	DET
aiti-5290	543	16	exact	exact	ADJ
aiti-5290	543	17	solutions	solution	NOUN
aiti-5290	543	18	are	be	AUX
aiti-5290	543	19	not	not	PART
aiti-5290	543	20	all	all	ADV
aiti-5290	543	21	easy	easy	ADJ
aiti-5290	543	22	to	to	PART
aiti-5290	543	23	be	be	AUX
aiti-5290	543	24	solved	solve	VERB
aiti-5290	543	25	.	.	PUNCT
aiti-5290	544	1	this	this	DET
aiti-5290	544	2	study	study	NOUN
aiti-5290	544	3	adopted	adopt	VERB
aiti-5290	544	4	the	the	DET
aiti-5290	544	5	method	method	NOUN
aiti-5290	544	6	of	of	ADP
aiti-5290	544	7	multiple	multiple	ADJ
aiti-5290	544	8	scales	scale	NOUN
aiti-5290	544	9	(	(	PUNCT
aiti-5290	544	10	moms	mom	NOUN
aiti-5290	544	11	)	)	PUNCT
aiti-5290	544	12	to	to	PART
aiti-5290	544	13	analyze	analyze	VERB
aiti-5290	544	14	the	the	DET
aiti-5290	544	15	frequency	frequency	NOUN
aiti-5290	544	16	response	response	NOUN
aiti-5290	544	17	and	and	CCONJ
aiti-5290	544	18	make	make	VERB
aiti-5290	544	19	the	the	DET
aiti-5290	544	20	fixed	fix	VERB
aiti-5290	544	21	point	point	NOUN
aiti-5290	544	22	plots	plot	NOUN
aiti-5290	544	23	of	of	ADP
aiti-5290	544	24	this	this	DET
aiti-5290	544	25	nonlinear	nonlinear	ADJ
aiti-5290	544	26	system	system	NOUN
aiti-5290	544	27	.	.	PUNCT
aiti-5290	545	1	the	the	DET
aiti-5290	545	2	time	time	NOUN
aiti-5290	545	3	scale	scale	NOUN
aiti-5290	545	4	was	be	AUX
aiti-5290	545	5	divided	divide	VERB
aiti-5290	545	6	into	into	ADP
aiti-5290	545	7	fast	fast	ADJ
aiti-5290	545	8	and	and	CCONJ
aiti-5290	545	9	slow	slow	ADJ
aiti-5290	545	10	time	time	NOUN
aiti-5290	545	11	scales	scale	NOUN
aiti-5290	545	12	.	.	PUNCT
aiti-5290	546	1	suppose	suppose	VERB
aiti-5290	546	2	that	that	SCONJ
aiti-5290	546	3	7	7	X
aiti-5290	546	4	.	.	PUNCT
aiti-5290	546	5	=	=	SYM
aiti-5290	546	6	�	�	PROPN
aiti-5290	546	7	is	be	AUX
aiti-5290	546	8	the	the	DET
aiti-5290	546	9	fast	fast	ADJ
aiti-5290	546	10	-	-	PUNCT
aiti-5290	546	11	time	time	NOUN
aiti-5290	546	12	term	term	NOUN
aiti-5290	546	13	,	,	PUNCT
aiti-5290	546	14	70	70	NUM
aiti-5290	546	15	=	=	SYM
aiti-5290	546	16	86	86	NUM
aiti-5290	546	17	�	�	PROPN
aiti-5290	546	18	is	be	AUX
aiti-5290	546	19	the	the	DET
aiti-5290	546	20	slow	slow	ADJ
aiti-5290	546	21	-	-	PUNCT
aiti-5290	546	22	time	time	NOUN
aiti-5290	546	23	terms	term	NOUN
aiti-5290	546	24	,	,	PUNCT
aiti-5290	546	25	and	and	CCONJ
aiti-5290	546	26	the	the	DET
aiti-5290	546	27	expansions	expansion	NOUN
aiti-5290	546	28	of	of	ADP
aiti-5290	546	29	each	each	DET
aiti-5290	546	30	direction	direction	NOUN
aiti-5290	546	31	are	be	AUX
aiti-5290	546	32	:	:	PUNCT
aiti-5290	546	33	1	1	NUM
aiti-5290	546	34	3	3	NUM
aiti-5290	546	35	(	(	PUNCT
aiti-5290	546	36	)	)	PUNCT
aiti-5290	546	37	(	(	PUNCT
aiti-5290	546	38	)	)	PUNCT
aiti-5290	546	39	0	0	SYM
aiti-5290	546	40	0	0	NUM
aiti-5290	546	41	1	1	NUM
aiti-5290	546	42	(	(	PUNCT
aiti-5290	546	43	)	)	PUNCT
aiti-5290	546	44	1	1	NUM
aiti-5290	546	45	0	0	NUM
aiti-5290	546	46	1	1	NUM
aiti-5290	546	47	1	1	NUM
aiti-5290	546	48	3	3	NUM
aiti-5290	546	49	(	(	PUNCT
aiti-5290	546	50	)	)	PUNCT
aiti-5290	546	51	(	(	PUNCT
aiti-5290	546	52	)	)	PUNCT
aiti-5290	546	53	0	0	SYM
aiti-5290	546	54	0	0	NUM
aiti-5290	546	55	1	1	NUM
aiti-5290	546	56	(	(	PUNCT
aiti-5290	546	57	)	)	PUNCT
aiti-5290	546	58	1	1	NUM
aiti-5290	546	59	0	0	NUM
aiti-5290	546	60	1	1	NUM
aiti-5290	546	61	1	1	NUM
aiti-5290	546	62	3	3	NUM
aiti-5290	546	63	(	(	PUNCT
aiti-5290	546	64	)	)	PUNCT
aiti-5290	546	65	(	(	PUNCT
aiti-5290	546	66	)	)	PUNCT
aiti-5290	546	67	0	0	SYM
aiti-5290	546	68	0	0	NUM
aiti-5290	546	69	1	1	NUM
aiti-5290	546	70	(	(	PUNCT
aiti-5290	546	71	)	)	PUNCT
aiti-5290	546	72	1	1	NUM
aiti-5290	546	73	0	0	NUM
aiti-5290	546	74	1	1	NUM
aiti-5290	546	75	(	(	PUNCT
aiti-5290	546	76	,	,	PUNCT
aiti-5290	546	77	;	;	PUNCT
aiti-5290	546	78	)	)	PUNCT
aiti-5290	546	79	(	(	PUNCT
aiti-5290	546	80	,	,	PUNCT
aiti-5290	546	81	,	,	PUNCT
aiti-5290	546	82	)	)	PUNCT
aiti-5290	546	83	(	(	PUNCT
aiti-5290	546	84	,	,	PUNCT
aiti-5290	546	85	,	,	PUNCT
aiti-5290	546	86	)	)	PUNCT
aiti-5290	546	87	...	...	PUNCT
aiti-5290	546	88	,	,	PUNCT
aiti-5290	546	89	(	(	PUNCT
aiti-5290	546	90	,	,	PUNCT
aiti-5290	546	91	;	;	PUNCT
aiti-5290	546	92	)	)	PUNCT
aiti-5290	546	93	(	(	PUNCT
aiti-5290	546	94	,	,	PUNCT
aiti-5290	546	95	,	,	PUNCT
aiti-5290	546	96	)	)	PUNCT
aiti-5290	546	97	(	(	PUNCT
aiti-5290	546	98	,	,	PUNCT
aiti-5290	546	99	,	,	PUNCT
aiti-5290	546	100	)	)	PUNCT
aiti-5290	546	101	...	...	PUNCT
aiti-5290	546	102	,	,	PUNCT
aiti-5290	546	103	(	(	PUNCT
aiti-5290	546	104	,	,	PUNCT
aiti-5290	546	105	;	;	PUNCT
aiti-5290	546	106	)	)	PUNCT
aiti-5290	546	107	(	(	PUNCT
aiti-5290	546	108	,	,	PUNCT
aiti-5290	546	109	,	,	PUNCT
aiti-5290	546	110	)	)	PUNCT
aiti-5290	546	111	(	(	PUNCT
aiti-5290	546	112	,	,	PUNCT
aiti-5290	546	113	,	,	PUNCT
aiti-5290	546	114	)	)	PUNCT
aiti-5290	546	115	...	...	PUNCT
aiti-5290	546	116	,	,	PUNCT
aiti-5290	546	117	i	i	PRON
aiti-5290	547	1	i	i	PRON
aiti-5290	548	1	i	i	PRON
aiti-5290	549	1	i	i	PRON
aiti-5290	550	1	i	i	PRON
aiti-5290	551	1	i	i	PRON
aiti-5290	552	1	i	i	PRON
aiti-5290	553	1	i	i	PRON
aiti-5290	554	1	i	i	VERB
aiti-5290	554	2	y	y	VERB
aiti-5290	554	3	x	x	SYM
aiti-5290	555	1	t	t	NOUN
aiti-5290	555	2	y	y	PROPN
aiti-5290	555	3	x	x	SYM
aiti-5290	555	4	t	t	PROPN
aiti-5290	555	5	t	t	X
aiti-5290	556	1	y	y	PROPN
aiti-5290	556	2	x	x	SYM
aiti-5290	556	3	t	t	PROPN
aiti-5290	556	4	t	t	PROPN
aiti-5290	556	5	z	z	NOUN
aiti-5290	557	1	x	x	SYM
aiti-5290	557	2	t	t	PROPN
aiti-5290	557	3	z	z	NOUN
aiti-5290	558	1	x	x	SYM
aiti-5290	558	2	t	t	PROPN
aiti-5290	558	3	t	t	PROPN
aiti-5290	558	4	z	z	NOUN
aiti-5290	559	1	x	x	SYM
aiti-5290	559	2	t	t	NOUN
aiti-5290	559	3	t	t	NOUN
aiti-5290	559	4	x	x	SYM
aiti-5290	559	5	t	t	PROPN
aiti-5290	559	6	x	x	SYM
aiti-5290	559	7	t	t	PROPN
aiti-5290	559	8	t	t	PROPN
aiti-5290	560	1	x	x	SYM
aiti-5290	560	2	t	t	NOUN
aiti-5290	560	3	t	t	X
aiti-5290	560	4	ε	ε	PROPN
aiti-5290	560	5	ε	ε	PROPN
aiti-5290	560	6	ε	ε	PROPN
aiti-5290	560	7	ε	ε	PROPN
aiti-5290	560	8	ε	ε	PROPN
aiti-5290	560	9	ε	ε	PROPN
aiti-5290	560	10	γ	γ	X
aiti-5290	560	11	ε	ε	PROPN
aiti-5290	560	12	ε	ε	PROPN
aiti-5290	560	13	γ	γ	PROPN
aiti-5290	560	14	ε	ε	PROPN
aiti-5290	560	15	γ	γ	X
aiti-5290	560	16			NOUN
aiti-5290	560	17	=	=	SYM
aiti-5290	561	1	+	+	PUNCT
aiti-5290	561	2	+	+	CCONJ
aiti-5290	561	3			ADJ
aiti-5290	561	4	=	=	NOUN
aiti-5290	562	1	+	+	PUNCT
aiti-5290	562	2	+	+	ADJ
aiti-5290	562	3			X
aiti-5290	562	4			ADJ
aiti-5290	562	5	=	=	SYM
aiti-5290	563	1	+	+	PUNCT
aiti-5290	564	1	+	+	ADJ
aiti-5290	564	2			X
aiti-5290	564	3	(	(	PUNCT
aiti-5290	564	4	47	47	NUM
aiti-5290	564	5	)	)	PUNCT
aiti-5290	564	6	where	where	SCONJ
aiti-5290	564	7	8	8	NUM
aiti-5290	564	8	is	be	AUX
aiti-5290	564	9	the	the	DET
aiti-5290	564	10	time	time	NOUN
aiti-5290	564	11	scale	scale	NOUN
aiti-5290	564	12	of	of	ADP
aiti-5290	564	13	small	small	ADJ
aiti-5290	564	14	disturbances	disturbance	NOUN
aiti-5290	564	15	and	and	CCONJ
aiti-5290	564	16	is	be	AUX
aiti-5290	564	17	a	a	DET
aiti-5290	564	18	minimum	minimum	ADJ
aiti-5290	564	19	value	value	NOUN
aiti-5290	564	20	.	.	PUNCT
aiti-5290	565	1	for	for	ADP
aiti-5290	565	2	the	the	DET
aiti-5290	565	3	sake	sake	NOUN
aiti-5290	565	4	of	of	ADP
aiti-5290	565	5	simplicity	simplicity	NOUN
aiti-5290	565	6	,	,	PUNCT
aiti-5290	565	7	the	the	DET
aiti-5290	565	8	influence	influence	NOUN
aiti-5290	565	9	of	of	ADP
aiti-5290	565	10	high	high	ADJ
aiti-5290	565	11	-	-	PUNCT
aiti-5290	565	12	order	order	NOUN
aiti-5290	565	13	terms	term	NOUN
aiti-5290	565	14	such	such	ADJ
aiti-5290	565	15	as	as	ADP
aiti-5290	565	16	89	89	NUM
aiti-5290	565	17	,	,	PUNCT
aiti-5290	565	18	8	8	NUM
aiti-5290	565	19	:	:	PUNCT
aiti-5290	565	20	...	...	PUNCT
aiti-5290	565	21	are	be	AUX
aiti-5290	565	22	neglected	neglect	VERB
aiti-5290	565	23	in	in	ADP
aiti-5290	565	24	the	the	DET
aiti-5290	565	25	system	system	NOUN
aiti-5290	565	26	.	.	PUNCT
aiti-5290	566	1	two	two	NUM
aiti-5290	566	2	time	time	NOUN
aiti-5290	566	3	scales	scale	NOUN
aiti-5290	566	4	(	(	PUNCT
aiti-5290	566	5	t0	t0	NOUN
aiti-5290	566	6	and	and	CCONJ
aiti-5290	566	7	t1	t1	PROPN
aiti-5290	566	8	)	)	PUNCT
aiti-5290	566	9	are	be	AUX
aiti-5290	566	10	considered	consider	VERB
aiti-5290	566	11	in	in	ADP
aiti-5290	566	12	this	this	DET
aiti-5290	566	13	study	study	NOUN
aiti-5290	566	14	.	.	PUNCT
aiti-5290	567	1	under	under	ADP
aiti-5290	567	2	the	the	DET
aiti-5290	567	3	assumption	assumption	NOUN
aiti-5290	567	4	of	of	ADP
aiti-5290	567	5	nonlinear	nonlinear	ADJ
aiti-5290	567	6	vibrations	vibration	NOUN
aiti-5290	567	7	,	,	PUNCT
aiti-5290	567	8	the	the	DET
aiti-5290	567	9	damping	damp	VERB
aiti-5290	567	10	coefficient	coefficient	NOUN
aiti-5290	567	11	c	c	NOUN
aiti-5290	567	12	is	be	AUX
aiti-5290	567	13	scaled	scale	VERB
aiti-5290	567	14	as	as	ADP
aiti-5290	567	15	86	86	NUM
aiti-5290	567	16	�	�	NOUN
aiti-5290	567	17	,	,	PUNCT
aiti-5290	567	18	the	the	DET
aiti-5290	567	19	forcing	force	VERB
aiti-5290	567	20	term	term	NOUN
aiti-5290	567	21	q	q	NOUN
aiti-5290	567	22	is	be	AUX
aiti-5290	567	23	scaled	scale	VERB
aiti-5290	567	24	as	as	ADP
aiti-5290	567	25	8	8	NUM
aiti-5290	567	26	;	;	PUNCT
aiti-5290	567	27	"	"	PUNCT
aiti-5290	567	28	,	,	PUNCT
aiti-5290	567	29	respectively	respectively	ADV
aiti-5290	567	30	.	.	PUNCT
aiti-5290	568	1	to	to	PART
aiti-5290	568	2	facilitate	facilitate	VERB
aiti-5290	568	3	this	this	DET
aiti-5290	568	4	analysis	analysis	NOUN
aiti-5290	568	5	,	,	PUNCT
aiti-5290	568	6	only	only	ADV
aiti-5290	568	7	the	the	DET
aiti-5290	568	8	first	first	ADJ
aiti-5290	568	9	two	two	NUM
aiti-5290	568	10	terms	term	NOUN
aiti-5290	568	11	of	of	ADP
aiti-5290	568	12	the	the	DET
aiti-5290	568	13	unsteady	unsteady	ADJ
aiti-5290	568	14	aerodynamic	aerodynamic	ADJ
aiti-5290	568	15	force	force	NOUN
aiti-5290	568	16	are	be	AUX
aiti-5290	568	17	extracted	extract	VERB
aiti-5290	568	18	for	for	ADP
aiti-5290	568	19	the	the	DET
aiti-5290	568	20	external	external	ADJ
aiti-5290	568	21	force	force	NOUN
aiti-5290	568	22	.	.	PUNCT
aiti-5290	569	1	the	the	DET
aiti-5290	569	2	orders	order	NOUN
aiti-5290	569	3	of	of	ADP
aiti-5290	569	4	,	,	PUNCT
aiti-5290	569	5	-)./	-)./	PROPN
aiti-5290	569	6	and	and	CCONJ
aiti-5290	569	7	,	,	PUNCT
aiti-5290	569	8	-)0/	-)0/	PUNCT
aiti-5290	569	9	in	in	ADP
aiti-5290	569	10	the	the	DET
aiti-5290	569	11	�	�	PROPN
aiti-5290	569	12	)	)	PUNCT
aiti-5290	569	13	equation	equation	NOUN
aiti-5290	569	14	are	be	AUX
aiti-5290	569	15	chosen	choose	VERB
aiti-5290	569	16	as	as	ADP
aiti-5290	569	17	8	8	NUM
aiti-5290	569	18	;	;	PUNCT
aiti-5290	569	19	and	and	CCONJ
aiti-5290	569	20	86	86	NUM
aiti-5290	569	21	.	.	PUNCT
aiti-5290	570	1	similarly	similarly	ADV
aiti-5290	570	2	,	,	PUNCT
aiti-5290	570	3	the	the	DET
aiti-5290	570	4	orders	order	NOUN
aiti-5290	570	5	of	of	ADP
aiti-5290	570	6	,	,	PUNCT
aiti-5290	570	7	-*./	-*./	ADV
aiti-5290	570	8	and	and	CCONJ
aiti-5290	570	9	,	,	PUNCT
aiti-5290	570	10	-*0/	-*0/	PROPN
aiti-5290	570	11	in	in	ADP
aiti-5290	570	12	the	the	DET
aiti-5290	570	13	�	�	PROPN
aiti-5290	570	14	*	*	NOUN
aiti-5290	570	15	equation	equation	NOUN
aiti-5290	570	16	are	be	AUX
aiti-5290	570	17	set	set	VERB
aiti-5290	570	18	as	as	ADP
aiti-5290	570	19	8	8	NUM
aiti-5290	570	20	;	;	PUNCT
aiti-5290	570	21	and	and	CCONJ
aiti-5290	570	22	86	86	NUM
aiti-5290	570	23	.	.	PUNCT
aiti-5290	571	1	these	these	DET
aiti-5290	571	2	principles	principle	NOUN
aiti-5290	571	3	are	be	AUX
aiti-5290	571	4	substituted	substitute	VERB
aiti-5290	571	5	into	into	ADP
aiti-5290	571	6	eqs	eqs	PROPN
aiti-5290	571	7	.	.	PUNCT
aiti-5290	572	1	(	(	PUNCT
aiti-5290	572	2	42)-(44	42)-(44	PROPN
aiti-5290	572	3	)	)	PUNCT
aiti-5290	572	4	and	and	CCONJ
aiti-5290	572	5	obtain	obtain	VERB
aiti-5290	572	6	the	the	DET
aiti-5290	572	7	expansion	expansion	NOUN
aiti-5290	572	8	of	of	ADP
aiti-5290	572	9	the	the	DET
aiti-5290	572	10	equation	equation	NOUN
aiti-5290	572	11	of	of	ADP
aiti-5290	572	12	the	the	DET
aiti-5290	572	13	80	80	NUM
aiti-5290	572	14	order	order	NOUN
aiti-5290	572	15	in	in	ADP
aiti-5290	572	16	the	the	DET
aiti-5290	572	17	y	y	NOUN
aiti-5290	572	18	-	-	PUNCT
aiti-5290	572	19	direction	direction	NOUN
aiti-5290	572	20	.	.	PUNCT
aiti-5290	573	1	(	(	PUNCT
aiti-5290	573	2	)	)	PUNCT
aiti-5290	573	3	2	2	NUM
aiti-5290	573	4	0	0	NUM
aiti-5290	573	5	(	(	PUNCT
aiti-5290	573	6	)	)	PUNCT
aiti-5290	573	7	0	0	NUM
aiti-5290	573	8	(	(	PUNCT
aiti-5290	573	9	)	)	PUNCT
aiti-5290	573	10	0	0	NUM
aiti-5290	573	11	0	0	NUM
aiti-5290	573	12	,	,	PUNCT
aiti-5290	573	13	1	1	NUM
aiti-5290	573	14	,	,	PUNCT
aiti-5290	573	15	2iv	2iv	NOUN
aiti-5290	574	1	i	i	PRON
aiti-5290	574	2	i	i	INTJ
aiti-5290	575	1	d	d	VERB
aiti-5290	575	2	y	y	VERB
aiti-5290	575	3	y	y	NOUN
aiti-5290	575	4	i	i	NOUN
aiti-5290	575	5	=	=	PUNCT
aiti-5290	575	6	+	+	CCONJ
aiti-5290	575	7	=	=	NOUN
aiti-5290	575	8	　 	　 	SPACE
aiti-5290	575	9	(	(	PUNCT
aiti-5290	575	10	48	48	NUM
aiti-5290	575	11	)	)	PUNCT
aiti-5290	575	12	the	the	DET
aiti-5290	575	13	equation	equation	NOUN
aiti-5290	575	14	of	of	ADP
aiti-5290	575	15	order	order	NOUN
aiti-5290	575	16	8	8	NUM
aiti-5290	575	17	;	;	PUNCT
aiti-5290	575	18	is	be	AUX
aiti-5290	575	19	:	:	PUNCT
aiti-5290	575	20	(	(	PUNCT
aiti-5290	575	21	)	)	PUNCT
aiti-5290	575	22	1	1	NUM
aiti-5290	575	23	2	2	NUM
aiti-5290	575	24	0	0	NUM
aiti-5290	575	25	(	(	PUNCT
aiti-5290	575	26	)	)	PUNCT
aiti-5290	575	27	1	1	NUM
aiti-5290	575	28	(	(	PUNCT
aiti-5290	575	29	)	)	PUNCT
aiti-5290	575	30	1	1	NUM
aiti-5290	575	31	0	0	NUM
aiti-5290	575	32	1	1	NUM
aiti-5290	575	33	(	(	PUNCT
aiti-5290	575	34	)	)	PUNCT
aiti-5290	575	35	0	0	NUM
aiti-5290	576	1	1	1	NUM
aiti-5290	576	2	0	0	NUM
aiti-5290	576	3	(	(	PUNCT
aiti-5290	576	4	)	)	PUNCT
aiti-5290	576	5	0	0	NUM
aiti-5290	576	6	(	(	PUNCT
aiti-5290	576	7	)	)	PUNCT
aiti-5290	576	8	0	0	NUM
aiti-5290	576	9	(	(	PUNCT
aiti-5290	576	10	)	)	PUNCT
aiti-5290	576	11	0	0	NUM
aiti-5290	576	12	(	(	PUNCT
aiti-5290	576	13	)	)	PUNCT
aiti-5290	576	14	0	0	NUM
aiti-5290	576	15	(	(	PUNCT
aiti-5290	576	16	)	)	PUNCT
aiti-5290	576	17	0	0	NUM
aiti-5290	576	18	(	(	PUNCT
aiti-5290	576	19	)	)	PUNCT
aiti-5290	576	20	0	0	NUM
aiti-5290	576	21	2	2	NUM
aiti-5290	576	22	2	2	NUM
aiti-5290	576	23	(	(	PUNCT
aiti-5290	576	24	)	)	PUNCT
aiti-5290	576	25	0	0	NUM
aiti-5290	577	1	(	(	PUNCT
aiti-5290	577	2	)	)	PUNCT
aiti-5290	577	3	0	0	NUM
aiti-5290	577	4	(	(	PUNCT
aiti-5290	577	5	)	)	PUNCT
aiti-5290	577	6	0	0	SYM
aiti-5290	577	7	0	0	NUM
aiti-5290	577	8	ˆ2	ˆ2	PROPN
aiti-5290	577	9	(	(	PUNCT
aiti-5290	577	10	)	)	PUNCT
aiti-5290	577	11	[	[	PUNCT
aiti-5290	577	12	(	(	PUNCT
aiti-5290	577	13	)	)	PUNCT
aiti-5290	577	14	]	]	PUNCT
aiti-5290	577	15	1	1	NUM
aiti-5290	577	16	ˆ	ˆ	NOUN
aiti-5290	577	17	{	{	PUNCT
aiti-5290	577	18	[	[	PUNCT
aiti-5290	577	19	(	(	PUNCT
aiti-5290	577	20	)	)	PUNCT
aiti-5290	577	21	]	]	PUNCT
aiti-5290	577	22	,	,	PUNCT
aiti-5290	577	23	}	}	PUNCT
aiti-5290	577	24	2	2	NUM
aiti-5290	577	25	1	1	NUM
aiti-5290	577	26	,	,	PUNCT
aiti-5290	577	27	2	2	NUM
aiti-5290	577	28	i	i	PRON
aiti-5290	577	29	i	i	PRON
aiti-5290	577	30	y	y	VERB
aiti-5290	578	1	i	i	PRON
aiti-5290	579	1	i	i	PRON
aiti-5290	580	1	iv	iv	VERB
aiti-5290	581	1	i	i	PRON
aiti-5290	582	1	i	i	PRON
aiti-5290	583	1	i	i	VERB
aiti-5290	583	2	y	y	VERB
aiti-5290	584	1	d	d	NOUN
aiti-5290	584	2	u	u	VERB
aiti-5290	585	1	i	i	PRON
aiti-5290	585	2	i	i	PRON
aiti-5290	586	1	i	i	PRON
aiti-5290	586	2	i	i	PRON
aiti-5290	587	1	i	i	PRON
aiti-5290	587	2	i	i	VERB
aiti-5290	587	3	x	x	VERB
aiti-5290	588	1	x	x	VERB
aiti-5290	588	2	i	i	NOUN
aiti-5290	589	1	t	t	VERB
aiti-5290	589	2	i	i	PRON
aiti-5290	590	1	i	i	PRON
aiti-5290	590	2	i	i	PRON
aiti-5290	591	1	i	i	PRON
aiti-5290	592	1	i	i	VERB
aiti-5290	592	2	y	y	VERB
aiti-5290	593	1	d	d	NOUN
aiti-5290	593	2	u	u	NOUN
aiti-5290	593	3	l	l	NOUN
aiti-5290	593	4	l	l	NOUN
aiti-5290	594	1	d	d	X
aiti-5290	594	2	y	y	PROPN
aiti-5290	594	3	y	y	PROPN
aiti-5290	594	4	d	d	PROPN
aiti-5290	595	1	d	d	X
aiti-5290	595	2	y	y	PROPN
aiti-5290	595	3	c	c	PROPN
aiti-5290	595	4	a	a	PROPN
aiti-5290	596	1	d	d	X
aiti-5290	596	2	y	y	PROPN
aiti-5290	596	3	y	y	PROPN
aiti-5290	596	4	y	y	PROPN
aiti-5290	596	5	y	y	PROPN
aiti-5290	596	6	z	z	PROPN
aiti-5290	596	7	z	z	VERB
aiti-5290	597	1	y	y	PROPN
aiti-5290	597	2	y	y	PROPN
aiti-5290	597	3	z	z	PROPN
aiti-5290	597	4	dx	dx	PROPN
aiti-5290	597	5	dx	dx	PROPN
aiti-5290	598	1	q	q	PROPN
aiti-5290	598	2	e	e	PROPN
aiti-5290	598	3	a	a	PROPN
aiti-5290	598	4	i	i	NOUN
aiti-5290	598	5	−	−	PROPN
aiti-5290	598	6	ω	ω	NUM
aiti-5290	598	7	′	′	NUM
aiti-5290	598	8	′	′	NUM
aiti-5290	599	1	′′	′′	NOUN
aiti-5290	599	2	′	′	NUM
aiti-5290	599	3	′′	′′	NOUN
aiti-5290	599	4	′	′	NOUN
aiti-5290	599	5	′+	′+	PUNCT
aiti-5290	599	6	=	=	PUNCT
aiti-5290	600	1	−	−	NOUN
aiti-5290	600	2	−	−	NUM
aiti-5290	601	1	−	−	NOUN
aiti-5290	601	2	−	−	PROPN
aiti-5290	602	1	+	+	CCONJ
aiti-5290	602	2	′	′	NUM
aiti-5290	602	3	′	′	NUM
aiti-5290	603	1	=	=	NOUN
aiti-5290	603	2	′	′	NUM
aiti-5290	603	3	′−	′−	NOUN
aiti-5290	603	4	+	+	PUNCT
aiti-5290	604	1	+	+	CCONJ
aiti-5290	604	2	+	+	NUM
aiti-5290	604	3	∫	∫	PROPN
aiti-5290	604	4	∫	∫	PROPN
aiti-5290	604	5	ɺɺ	ɺɺ	PROPN
aiti-5290	604	6	　 	　 	SPACE
aiti-5290	604	7	(	(	PUNCT
aiti-5290	604	8	49	49	NUM
aiti-5290	604	9	)	)	PUNCT
aiti-5290	604	10	the	the	DET
aiti-5290	604	11	equation	equation	NOUN
aiti-5290	604	12	of	of	ADP
aiti-5290	604	13	the	the	DET
aiti-5290	604	14	80	80	NUM
aiti-5290	604	15	order	order	NOUN
aiti-5290	604	16	in	in	ADP
aiti-5290	604	17	the	the	DET
aiti-5290	604	18	z	z	NOUN
aiti-5290	604	19	direction	direction	NOUN
aiti-5290	604	20	is	be	AUX
aiti-5290	604	21	:	:	PUNCT
aiti-5290	604	22	(	(	PUNCT
aiti-5290	604	23	)	)	PUNCT
aiti-5290	604	24	2	2	NUM
aiti-5290	604	25	0	0	NUM
aiti-5290	604	26	(	(	PUNCT
aiti-5290	604	27	)	)	PUNCT
aiti-5290	604	28	0	0	NUM
aiti-5290	604	29	(	(	PUNCT
aiti-5290	604	30	)	)	PUNCT
aiti-5290	604	31	0	0	NUM
aiti-5290	604	32	0	0	NUM
aiti-5290	604	33	,	,	PUNCT
aiti-5290	604	34	1	1	NUM
aiti-5290	604	35	,	,	PUNCT
aiti-5290	604	36	2iv	2iv	NOUN
aiti-5290	605	1	i	i	PRON
aiti-5290	605	2	i	i	INTJ
aiti-5290	606	1	d	d	X
aiti-5290	606	2	z	z	NOUN
aiti-5290	606	3	z	z	NOUN
aiti-5290	607	1	i	i	NOUN
aiti-5290	607	2	=	=	PUNCT
aiti-5290	608	1	+	+	CCONJ
aiti-5290	608	2	=	=	NOUN
aiti-5290	608	3	　 	　 	SPACE
aiti-5290	608	4	(	(	PUNCT
aiti-5290	608	5	50	50	NUM
aiti-5290	608	6	)	)	PUNCT
aiti-5290	608	7	the	the	DET
aiti-5290	608	8	equation	equation	NOUN
aiti-5290	608	9	of	of	ADP
aiti-5290	608	10	order	order	NOUN
aiti-5290	608	11	8	8	NUM
aiti-5290	608	12	;	;	PUNCT
aiti-5290	608	13	is	be	AUX
aiti-5290	608	14	:	:	PUNCT
aiti-5290	608	15	advances	advance	NOUN
aiti-5290	608	16	in	in	ADP
aiti-5290	608	17	technology	technology	NOUN
aiti-5290	608	18	innovation	innovation	NOUN
aiti-5290	608	19	,	,	PUNCT
aiti-5290	608	20	vol	vol	NOUN
aiti-5290	608	21	.	.	PROPN
aiti-5290	609	1	5	5	NUM
aiti-5290	609	2	,	,	PUNCT
aiti-5290	609	3	no	no	INTJ
aiti-5290	609	4	.	.	NOUN
aiti-5290	609	5	4	4	NUM
aiti-5290	609	6	,	,	PUNCT
aiti-5290	609	7	2020	2020	NUM
aiti-5290	609	8	,	,	PUNCT
aiti-5290	609	9	pp	pp	ADV
aiti-5290	609	10	.	.	PUNCT
aiti-5290	610	1	270	270	NUM
aiti-5290	610	2	-	-	SYM
aiti-5290	610	3	291	291	NUM
aiti-5290	610	4	278	278	NUM
aiti-5290	610	5	(	(	PUNCT
aiti-5290	610	6	)	)	PUNCT
aiti-5290	610	7	1	1	NUM
aiti-5290	610	8	2	2	NUM
aiti-5290	610	9	0	0	NUM
aiti-5290	610	10	(	(	PUNCT
aiti-5290	610	11	)	)	PUNCT
aiti-5290	610	12	1	1	NUM
aiti-5290	610	13	(	(	PUNCT
aiti-5290	610	14	)	)	PUNCT
aiti-5290	610	15	1	1	NUM
aiti-5290	610	16	0	0	NUM
aiti-5290	610	17	1	1	NUM
aiti-5290	610	18	(	(	PUNCT
aiti-5290	610	19	)	)	PUNCT
aiti-5290	610	20	0	0	NUM
aiti-5290	610	21	1	1	NUM
aiti-5290	610	22	0	0	NUM
aiti-5290	610	23	(	(	PUNCT
aiti-5290	610	24	)	)	PUNCT
aiti-5290	610	25	0	0	NUM
aiti-5290	610	26	(	(	PUNCT
aiti-5290	610	27	)	)	PUNCT
aiti-5290	610	28	0	0	NUM
aiti-5290	610	29	(	(	PUNCT
aiti-5290	610	30	)	)	PUNCT
aiti-5290	610	31	0	0	NUM
aiti-5290	610	32	(	(	PUNCT
aiti-5290	610	33	)	)	PUNCT
aiti-5290	610	34	0	0	NUM
aiti-5290	610	35	(	(	PUNCT
aiti-5290	610	36	)	)	PUNCT
aiti-5290	610	37	0	0	NUM
aiti-5290	610	38	(	(	PUNCT
aiti-5290	610	39	)	)	PUNCT
aiti-5290	610	40	0	0	NUM
aiti-5290	610	41	2	2	NUM
aiti-5290	610	42	2	2	NUM
aiti-5290	610	43	(	(	PUNCT
aiti-5290	610	44	)	)	PUNCT
aiti-5290	610	45	0	0	NUM
aiti-5290	610	46	(	(	PUNCT
aiti-5290	610	47	)	)	PUNCT
aiti-5290	610	48	0	0	NUM
aiti-5290	610	49	(	(	PUNCT
aiti-5290	610	50	)	)	PUNCT
aiti-5290	610	51	0	0	SYM
aiti-5290	610	52	0	0	NUM
aiti-5290	610	53	ˆ2	ˆ2	PROPN
aiti-5290	610	54	(	(	PUNCT
aiti-5290	610	55	)	)	PUNCT
aiti-5290	610	56	[	[	PUNCT
aiti-5290	610	57	(	(	PUNCT
aiti-5290	610	58	)	)	PUNCT
aiti-5290	610	59	]	]	PUNCT
aiti-5290	610	60	1	1	NUM
aiti-5290	610	61	ˆ	ˆ	NOUN
aiti-5290	610	62	{	{	PUNCT
aiti-5290	610	63	[	[	PUNCT
aiti-5290	610	64	(	(	PUNCT
aiti-5290	610	65	)	)	PUNCT
aiti-5290	610	66	]	]	PUNCT
aiti-5290	610	67	,	,	PUNCT
aiti-5290	610	68	}	}	PUNCT
aiti-5290	610	69	2	2	NUM
aiti-5290	610	70	1	1	NUM
aiti-5290	610	71	,	,	PUNCT
aiti-5290	610	72	2	2	NUM
aiti-5290	610	73	i	i	PRON
aiti-5290	610	74	i	i	PRON
aiti-5290	610	75	z	z	VERB
aiti-5290	611	1	i	i	PRON
aiti-5290	611	2	i	i	PRON
aiti-5290	611	3	iv	iv	VERB
aiti-5290	612	1	i	i	PRON
aiti-5290	613	1	i	i	PRON
aiti-5290	614	1	i	i	VERB
aiti-5290	614	2	z	z	VERB
aiti-5290	615	1	a	a	DET
aiti-5290	615	2	u	u	NOUN
aiti-5290	616	1	i	i	PRON
aiti-5290	617	1	i	i	PRON
aiti-5290	618	1	i	i	PRON
aiti-5290	619	1	i	i	PRON
aiti-5290	620	1	i	i	PRON
aiti-5290	621	1	i	i	VERB
aiti-5290	621	2	x	x	VERB
aiti-5290	622	1	x	x	VERB
aiti-5290	622	2	i	i	NOUN
aiti-5290	623	1	t	t	VERB
aiti-5290	623	2	i	i	PRON
aiti-5290	624	1	i	i	PRON
aiti-5290	624	2	i	i	PRON
aiti-5290	625	1	i	i	PRON
aiti-5290	625	2	i	i	VERB
aiti-5290	625	3	z	z	VERB
aiti-5290	625	4	a	a	DET
aiti-5290	625	5	u	u	NOUN
aiti-5290	625	6	l	l	NOUN
aiti-5290	625	7	l	l	NOUN
aiti-5290	626	1	d	d	NOUN
aiti-5290	626	2	z	z	NOUN
aiti-5290	626	3	z	z	NOUN
aiti-5290	627	1	d	d	PROPN
aiti-5290	627	2	d	d	X
aiti-5290	627	3	z	z	PROPN
aiti-5290	627	4	c	c	NOUN
aiti-5290	627	5	a	a	DET
aiti-5290	627	6	d	d	X
aiti-5290	627	7	z	z	PROPN
aiti-5290	627	8	z	z	NOUN
aiti-5290	627	9	y	y	PROPN
aiti-5290	627	10	y	y	PROPN
aiti-5290	627	11	z	z	PROPN
aiti-5290	627	12	z	z	PROPN
aiti-5290	627	13	z	z	NOUN
aiti-5290	628	1	y	y	PROPN
aiti-5290	628	2	z	z	PROPN
aiti-5290	628	3	dx	dx	PROPN
aiti-5290	628	4	dx	dx	PROPN
aiti-5290	628	5	q	q	PROPN
aiti-5290	629	1	e	e	PROPN
aiti-5290	629	2	a	a	PROPN
aiti-5290	629	3	i	i	NOUN
aiti-5290	629	4	−	−	PROPN
aiti-5290	629	5	ω	ω	NUM
aiti-5290	629	6	′	′	NUM
aiti-5290	629	7	′	′	NUM
aiti-5290	630	1	′′	′′	NOUN
aiti-5290	630	2	′	′	NUM
aiti-5290	630	3	′′	′′	NOUN
aiti-5290	630	4	′	′	NOUN
aiti-5290	630	5	′+	′+	PUNCT
aiti-5290	630	6	=	=	PUNCT
aiti-5290	631	1	−	−	NOUN
aiti-5290	631	2	−	−	NUM
aiti-5290	632	1	−	−	NOUN
aiti-5290	632	2	−	−	PROPN
aiti-5290	633	1	+	+	CCONJ
aiti-5290	633	2	′	′	NUM
aiti-5290	633	3	′	′	NUM
aiti-5290	634	1	=	=	NOUN
aiti-5290	634	2	′	′	NUM
aiti-5290	634	3	′−	′−	NOUN
aiti-5290	634	4	+	+	PUNCT
aiti-5290	635	1	+	+	CCONJ
aiti-5290	635	2	+	+	NUM
aiti-5290	635	3	∫	∫	PROPN
aiti-5290	635	4	∫	∫	PROPN
aiti-5290	635	5	ɺɺ	ɺɺ	PROPN
aiti-5290	635	6	　 	　 	SPACE
aiti-5290	635	7	(	(	PUNCT
aiti-5290	635	8	51	51	NUM
aiti-5290	635	9	)	)	PUNCT
aiti-5290	635	10	the	the	DET
aiti-5290	635	11	equation	equation	NOUN
aiti-5290	635	12	of	of	ADP
aiti-5290	635	13	the	the	DET
aiti-5290	635	14	80	80	NUM
aiti-5290	635	15	order	order	NOUN
aiti-5290	635	16	in	in	ADP
aiti-5290	635	17	the	the	DET
aiti-5290	635	18	γ	γ	PROPN
aiti-5290	635	19	direction	direction	NOUN
aiti-5290	635	20	is	be	AUX
aiti-5290	635	21	:	:	PUNCT
aiti-5290	635	22	(	(	PUNCT
aiti-5290	635	23	)	)	PUNCT
aiti-5290	635	24	2	2	NUM
aiti-5290	635	25	0	0	NUM
aiti-5290	635	26	(	(	PUNCT
aiti-5290	635	27	)	)	PUNCT
aiti-5290	635	28	0	0	NUM
aiti-5290	635	29	(	(	PUNCT
aiti-5290	635	30	)	)	PUNCT
aiti-5290	635	31	0	0	NUM
aiti-5290	635	32	,	,	PUNCT
aiti-5290	635	33	1	1	NUM
aiti-5290	635	34	,	,	PUNCT
aiti-5290	635	35	20i	20i	NOUN
aiti-5290	635	36	i	i	PRON
aiti-5290	635	37	xy	xy	VERB
aiti-5290	636	1	i	i	PRON
aiti-5290	636	2	i	i	INTJ
aiti-5290	636	3	x	x	VERB
aiti-5290	637	1	i	i	PROPN
aiti-5290	637	2	d	d	PROPN
aiti-5290	637	3	j	j	PROPN
aiti-5290	637	4	µ	µ	X
aiti-5290	637	5	γ	γ	X
aiti-5290	637	6	γ	γ	X
aiti-5290	637	7	′′	′′	PROPN
aiti-5290	637	8	=	=	PRON
aiti-5290	637	9	−	−	PROPN
aiti-5290	637	10	=	=	SYM
aiti-5290	637	11	　 	　 	SPACE
aiti-5290	637	12	(	(	PUNCT
aiti-5290	637	13	52	52	NUM
aiti-5290	637	14	)	)	PUNCT
aiti-5290	637	15	the	the	DET
aiti-5290	637	16	equation	equation	NOUN
aiti-5290	637	17	of	of	ADP
aiti-5290	637	18	order	order	NOUN
aiti-5290	637	19	8	8	NUM
aiti-5290	637	20	;	;	PUNCT
aiti-5290	637	21	is	be	AUX
aiti-5290	637	22	:	:	PUNCT
aiti-5290	637	23	(	(	PUNCT
aiti-5290	637	24	)	)	PUNCT
aiti-5290	637	25	2	2	NUM
aiti-5290	637	26	0	0	NUM
aiti-5290	637	27	(	(	PUNCT
aiti-5290	637	28	)	)	PUNCT
aiti-5290	637	29	1	1	NUM
aiti-5290	637	30	(	(	PUNCT
aiti-5290	637	31	)	)	PUNCT
aiti-5290	637	32	1	1	NUM
aiti-5290	637	33	0	0	NUM
aiti-5290	637	34	1	1	NUM
aiti-5290	637	35	(	(	PUNCT
aiti-5290	637	36	)	)	PUNCT
aiti-5290	637	37	0	0	NUM
aiti-5290	637	38	0	0	NUM
aiti-5290	637	39	(	(	PUNCT
aiti-5290	637	40	)	)	PUNCT
aiti-5290	637	41	0	0	NUM
aiti-5290	637	42	,	,	PUNCT
aiti-5290	637	43	1	1	NUM
aiti-5290	637	44	22	22	NUM
aiti-5290	637	45	,	,	PUNCT
aiti-5290	637	46	i	i	PRON
aiti-5290	638	1	i	i	PRON
aiti-5290	638	2	xy	xy	VERB
aiti-5290	639	1	i	i	PRON
aiti-5290	639	2	i	i	INTJ
aiti-5290	640	1	i	i	VERB
aiti-5290	640	2	x	x	VERB
aiti-5290	641	1	i	i	NOUN
aiti-5290	641	2	x	x	PUNCT
aiti-5290	641	3	x	x	PUNCT
aiti-5290	642	1	d	d	PUNCT
aiti-5290	642	2	d	d	X
aiti-5290	642	3	d	d	X
aiti-5290	642	4	c	c	PROPN
aiti-5290	643	1	d	d	NOUN
aiti-5290	643	2	m	m	VERB
aiti-5290	643	3	i	i	PRON
aiti-5290	643	4	j	j	PROPN
aiti-5290	643	5	µ	µ	X
aiti-5290	643	6	γ	γ	X
aiti-5290	643	7	γ	γ	PROPN
aiti-5290	643	8	γ	γ	X
aiti-5290	643	9	γ	γ	X
aiti-5290	643	10	=	=	PROPN
aiti-5290	643	11	′′−	′′−	NOUN
aiti-5290	643	12	=	=	PUNCT
aiti-5290	643	13	−	−	NOUN
aiti-5290	643	14	−	−	PROPN
aiti-5290	644	1	+	+	CCONJ
aiti-5290	644	2	　 	　 	SPACE
aiti-5290	644	3	(	(	PUNCT
aiti-5290	644	4	53	53	NUM
aiti-5290	644	5	)	)	PUNCT
aiti-5290	644	6	the	the	DET
aiti-5290	644	7	boundary	boundary	ADJ
aiti-5290	644	8	conditions	condition	NOUN
aiti-5290	644	9	and	and	CCONJ
aiti-5290	644	10	the	the	DET
aiti-5290	644	11	compatibility	compatibility	NOUN
aiti-5290	644	12	equations	equation	NOUN
aiti-5290	644	13	at	at	ADP
aiti-5290	644	14	the	the	DET
aiti-5290	644	15	joint	joint	NOUN
aiti-5290	644	16	of	of	ADP
aiti-5290	644	17	the	the	DET
aiti-5290	644	18	two	two	NUM
aiti-5290	644	19	beam	beam	NOUN
aiti-5290	644	20	sections	section	NOUN
aiti-5290	644	21	are	be	AUX
aiti-5290	644	22	=	=	SYM
aiti-5290	644	23	80	80	NUM
aiti-5290	644	24	�	�	NOUN
aiti-5290	644	25	:	:	PUNCT
aiti-5290	644	26	(	(	PUNCT
aiti-5290	644	27	1)0	1)0	NUM
aiti-5290	644	28	(	(	PUNCT
aiti-5290	644	29	1)0	1)0	NUM
aiti-5290	644	30	(	(	PUNCT
aiti-5290	644	31	2)0	2)0	NUM
aiti-5290	644	32	(	(	PUNCT
aiti-5290	644	33	2)0	2)0	NUM
aiti-5290	644	34	(	(	PUNCT
aiti-5290	644	35	1)0	1)0	NUM
aiti-5290	644	36	(	(	PUNCT
aiti-5290	644	37	1)0	1)0	NUM
aiti-5290	644	38	(	(	PUNCT
aiti-5290	644	39	2)0	2)0	NUM
aiti-5290	644	40	(	(	PUNCT
aiti-5290	644	41	2)0	2)0	NUM
aiti-5290	644	42	(	(	PUNCT
aiti-5290	644	43	1)0	1)0	NUM
aiti-5290	644	44	(	(	PUNCT
aiti-5290	644	45	2)0	2)0	NUM
aiti-5290	644	46	(	(	PUNCT
aiti-5290	644	47	0	0	NUM
aiti-5290	644	48	,	,	PUNCT
aiti-5290	644	49	)	)	PUNCT
aiti-5290	644	50	(	(	PUNCT
aiti-5290	644	51	0	0	NUM
aiti-5290	644	52	,	,	PUNCT
aiti-5290	644	53	)	)	PUNCT
aiti-5290	644	54	(	(	PUNCT
aiti-5290	644	55	1	1	NUM
aiti-5290	644	56	,	,	PUNCT
aiti-5290	644	57	)	)	PUNCT
aiti-5290	644	58	(	(	PUNCT
aiti-5290	644	59	1	1	NUM
aiti-5290	644	60	,	,	PUNCT
aiti-5290	644	61	)	)	PUNCT
aiti-5290	644	62	0	0	NUM
aiti-5290	644	63	,	,	PUNCT
aiti-5290	644	64	(	(	PUNCT
aiti-5290	644	65	0	0	NUM
aiti-5290	644	66	,	,	PUNCT
aiti-5290	644	67	)	)	PUNCT
aiti-5290	644	68	(	(	PUNCT
aiti-5290	644	69	0	0	NUM
aiti-5290	644	70	,	,	PUNCT
aiti-5290	644	71	)	)	PUNCT
aiti-5290	644	72	(	(	PUNCT
aiti-5290	644	73	1	1	NUM
aiti-5290	644	74	,	,	PUNCT
aiti-5290	644	75	)	)	PUNCT
aiti-5290	644	76	(	(	PUNCT
aiti-5290	644	77	1	1	NUM
aiti-5290	644	78	,	,	PUNCT
aiti-5290	644	79	)	)	PUNCT
aiti-5290	644	80	0	0	NUM
aiti-5290	644	81	,	,	PUNCT
aiti-5290	644	82	(	(	PUNCT
aiti-5290	644	83	0	0	NUM
aiti-5290	644	84	,	,	PUNCT
aiti-5290	644	85	)	)	PUNCT
aiti-5290	644	86	(	(	PUNCT
aiti-5290	644	87	1	1	NUM
aiti-5290	644	88	,	,	PUNCT
aiti-5290	644	89	)	)	PUNCT
aiti-5290	644	90	0	0	X
aiti-5290	644	91	.	.	PUNCT
aiti-5290	645	1	y	y	PROPN
aiti-5290	645	2	t	t	PROPN
aiti-5290	645	3	y	y	PROPN
aiti-5290	645	4	t	t	PROPN
aiti-5290	645	5	y	y	PROPN
aiti-5290	645	6	t	t	PROPN
aiti-5290	646	1	y	y	PROPN
aiti-5290	646	2	t	t	PROPN
aiti-5290	646	3	z	z	PROPN
aiti-5290	646	4	t	t	PROPN
aiti-5290	646	5	z	z	PROPN
aiti-5290	646	6	t	t	PROPN
aiti-5290	646	7	z	z	PROPN
aiti-5290	646	8	t	t	PROPN
aiti-5290	646	9	z	z	PROPN
aiti-5290	646	10	t	t	PROPN
aiti-5290	646	11	t	t	PROPN
aiti-5290	646	12	tγ	tγ	PROPN
aiti-5290	646	13	γ	γ	PROPN
aiti-5290	646	14	′′	′′	PROPN
aiti-5290	646	15	′′′	′′′	ADP
aiti-5290	646	16	′′	′′	PROPN
aiti-5290	646	17	′′′	′′′	PROPN
aiti-5290	646	18	=	=	PUNCT
aiti-5290	647	1	=	=	PUNCT
aiti-5290	647	2	=	=	PUNCT
aiti-5290	647	3	=	=	PUNCT
aiti-5290	647	4			PROPN
aiti-5290	647	5	′′	′′	PROPN
aiti-5290	647	6	′′′	′′′	ADP
aiti-5290	647	7	′′	′′	PROPN
aiti-5290	647	8	′′′=	′′′=	NOUN
aiti-5290	647	9	=	=	PUNCT
aiti-5290	647	10	=	=	SYM
aiti-5290	647	11	=	=	NOUN
aiti-5290	647	12			NOUN
aiti-5290	647	13			ADJ
aiti-5290	647	14	′	′	NUM
aiti-5290	647	15	′=	′=	PROPN
aiti-5290	648	1	=	=	PRON
aiti-5290	648	2			NOUN
aiti-5290	648	3	(	(	PUNCT
aiti-5290	648	4	54	54	NUM
aiti-5290	648	5	)	)	PUNCT
aiti-5290	648	6	(	(	PUNCT
aiti-5290	648	7	1)0	1)0	NUM
aiti-5290	648	8	(	(	PUNCT
aiti-5290	648	9	2)0	2)0	NUM
aiti-5290	648	10	(	(	PUNCT
aiti-5290	648	11	1)0	1)0	NUM
aiti-5290	648	12	(	(	PUNCT
aiti-5290	648	13	2)0	2)0	NUM
aiti-5290	648	14	(	(	PUNCT
aiti-5290	648	15	1)0	1)0	NUM
aiti-5290	648	16	(	(	PUNCT
aiti-5290	648	17	2)0	2)0	NUM
aiti-5290	648	18	(	(	PUNCT
aiti-5290	648	19	1)0	1)0	NUM
aiti-5290	648	20	(	(	PUNCT
aiti-5290	648	21	2)0	2)0	NUM
aiti-5290	648	22	(	(	PUNCT
aiti-5290	648	23	1)0	1)0	NUM
aiti-5290	648	24	(	(	PUNCT
aiti-5290	648	25	2)0	2)0	NUM
aiti-5290	648	26	(	(	PUNCT
aiti-5290	648	27	,	,	PUNCT
aiti-5290	648	28	)	)	PUNCT
aiti-5290	648	29	(	(	PUNCT
aiti-5290	648	30	0	0	NUM
aiti-5290	648	31	,	,	PUNCT
aiti-5290	648	32	)	)	PUNCT
aiti-5290	648	33	,	,	PUNCT
aiti-5290	648	34	(	(	PUNCT
aiti-5290	648	35	,	,	PUNCT
aiti-5290	648	36	)	)	PUNCT
aiti-5290	648	37	(	(	PUNCT
aiti-5290	648	38	0	0	NUM
aiti-5290	648	39	,	,	PUNCT
aiti-5290	648	40	)	)	PUNCT
aiti-5290	648	41	,	,	PUNCT
aiti-5290	648	42	(	(	PUNCT
aiti-5290	648	43	,	,	PUNCT
aiti-5290	648	44	)	)	PUNCT
aiti-5290	648	45	(	(	PUNCT
aiti-5290	648	46	0	0	NUM
aiti-5290	648	47	,	,	PUNCT
aiti-5290	648	48	)	)	PUNCT
aiti-5290	648	49	,	,	PUNCT
aiti-5290	648	50	(	(	PUNCT
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aiti-5290	648	52	)	)	PUNCT
aiti-5290	648	53	(	(	PUNCT
aiti-5290	648	54	0	0	NUM
aiti-5290	648	55	,	,	PUNCT
aiti-5290	648	56	)	)	PUNCT
aiti-5290	648	57	,	,	PUNCT
aiti-5290	648	58	(	(	PUNCT
aiti-5290	648	59	,	,	PUNCT
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aiti-5290	648	61	(	(	PUNCT
aiti-5290	648	62	0	0	NUM
aiti-5290	648	63	,	,	PUNCT
aiti-5290	648	64	)	)	PUNCT
aiti-5290	648	65	.	.	PUNCT
aiti-5290	649	1	y	y	PROPN
aiti-5290	649	2	t	t	PROPN
aiti-5290	649	3	y	y	PROPN
aiti-5290	649	4	t	t	PROPN
aiti-5290	649	5	y	y	PROPN
aiti-5290	649	6	t	t	PROPN
aiti-5290	650	1	y	y	PROPN
aiti-5290	650	2	t	t	PROPN
aiti-5290	650	3	z	z	PROPN
aiti-5290	650	4	t	t	PROPN
aiti-5290	650	5	z	z	PROPN
aiti-5290	650	6	t	t	PROPN
aiti-5290	650	7	z	z	PROPN
aiti-5290	650	8	t	t	PROPN
aiti-5290	650	9	z	z	PROPN
aiti-5290	650	10	t	t	PROPN
aiti-5290	650	11	t	t	PROPN
aiti-5290	650	12	t	t	PROPN
aiti-5290	650	13	η	η	PROPN
aiti-5290	650	14	η	η	PROPN
aiti-5290	650	15	η	η	PROPN
aiti-5290	650	16	η	η	PROPN
aiti-5290	650	17	γ	γ	PROPN
aiti-5290	650	18	η	η	PROPN
aiti-5290	650	19	γ	γ	X
aiti-5290	650	20	′	′	NUM
aiti-5290	650	21	′	′	NOUN
aiti-5290	651	1	=	=	SYM
aiti-5290	651	2	=	=	PUNCT
aiti-5290	651	3			PROPN
aiti-5290	651	4	′	′	NUM
aiti-5290	651	5	′=	′=	PROPN
aiti-5290	652	1	=	=	PRON
aiti-5290	652	2			X
aiti-5290	652	3			ADJ
aiti-5290	652	4	=	=	NUM
aiti-5290	652	5			NOUN
aiti-5290	652	6	(	(	PUNCT
aiti-5290	652	7	55	55	NUM
aiti-5290	652	8	)	)	PUNCT
aiti-5290	652	9	the	the	DET
aiti-5290	652	10	equation	equation	NOUN
aiti-5290	652	11	of	of	ADP
aiti-5290	652	12	order	order	NOUN
aiti-5290	652	13	8	8	NUM
aiti-5290	652	14	;	;	PUNCT
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aiti-5290	652	16	:	:	PUNCT
aiti-5290	652	17	(	(	PUNCT
aiti-5290	652	18	1)1	1)1	NUM
aiti-5290	652	19	(	(	PUNCT
aiti-5290	652	20	1)1	1)1	NUM
aiti-5290	652	21	(	(	PUNCT
aiti-5290	652	22	2)1	2)1	NUM
aiti-5290	652	23	(	(	PUNCT
aiti-5290	652	24	2)1	2)1	NUM
aiti-5290	652	25	(	(	PUNCT
aiti-5290	652	26	1)1	1)1	NUM
aiti-5290	652	27	(	(	PUNCT
aiti-5290	652	28	1)1	1)1	NUM
aiti-5290	652	29	(	(	PUNCT
aiti-5290	652	30	2)1	2)1	NUM
aiti-5290	652	31	(	(	PUNCT
aiti-5290	652	32	2)1	2)1	NUM
aiti-5290	652	33	(	(	PUNCT
aiti-5290	652	34	1)0	1)0	NUM
aiti-5290	652	35	(	(	PUNCT
aiti-5290	652	36	2)0	2)0	NUM
aiti-5290	652	37	(	(	PUNCT
aiti-5290	652	38	0	0	NUM
aiti-5290	652	39	,	,	PUNCT
aiti-5290	652	40	)	)	PUNCT
aiti-5290	652	41	(	(	PUNCT
aiti-5290	652	42	0	0	NUM
aiti-5290	652	43	,	,	PUNCT
aiti-5290	652	44	)	)	PUNCT
aiti-5290	652	45	(	(	PUNCT
aiti-5290	652	46	1	1	NUM
aiti-5290	652	47	,	,	PUNCT
aiti-5290	652	48	)	)	PUNCT
aiti-5290	652	49	(	(	PUNCT
aiti-5290	652	50	1	1	NUM
aiti-5290	652	51	,	,	PUNCT
aiti-5290	652	52	)	)	PUNCT
aiti-5290	652	53	0	0	NUM
aiti-5290	652	54	,	,	PUNCT
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aiti-5290	652	56	0	0	NUM
aiti-5290	652	57	,	,	PUNCT
aiti-5290	652	58	)	)	PUNCT
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aiti-5290	652	60	0	0	NUM
aiti-5290	652	61	,	,	PUNCT
aiti-5290	652	62	)	)	PUNCT
aiti-5290	652	63	(	(	PUNCT
aiti-5290	652	64	1	1	NUM
aiti-5290	652	65	,	,	PUNCT
aiti-5290	652	66	)	)	PUNCT
aiti-5290	652	67	(	(	PUNCT
aiti-5290	652	68	1	1	NUM
aiti-5290	652	69	,	,	PUNCT
aiti-5290	652	70	)	)	PUNCT
aiti-5290	652	71	0	0	NUM
aiti-5290	652	72	,	,	PUNCT
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aiti-5290	652	74	0	0	NUM
aiti-5290	652	75	,	,	PUNCT
aiti-5290	652	76	)	)	PUNCT
aiti-5290	652	77	(	(	PUNCT
aiti-5290	652	78	1	1	NUM
aiti-5290	652	79	,	,	PUNCT
aiti-5290	652	80	)	)	PUNCT
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aiti-5290	652	82	.	.	PUNCT
aiti-5290	653	1	y	y	PROPN
aiti-5290	653	2	t	t	PROPN
aiti-5290	653	3	y	y	PROPN
aiti-5290	653	4	t	t	PROPN
aiti-5290	653	5	y	y	PROPN
aiti-5290	653	6	t	t	PROPN
aiti-5290	654	1	y	y	PROPN
aiti-5290	654	2	t	t	PROPN
aiti-5290	654	3	z	z	PROPN
aiti-5290	654	4	t	t	PROPN
aiti-5290	654	5	z	z	PROPN
aiti-5290	654	6	t	t	PROPN
aiti-5290	654	7	z	z	PROPN
aiti-5290	654	8	t	t	PROPN
aiti-5290	654	9	z	z	PROPN
aiti-5290	654	10	t	t	PROPN
aiti-5290	654	11	t	t	PROPN
aiti-5290	654	12	tγ	tγ	PROPN
aiti-5290	654	13	γ	γ	PROPN
aiti-5290	654	14	′′	′′	PROPN
aiti-5290	654	15	′′′	′′′	ADP
aiti-5290	654	16	′′	′′	PROPN
aiti-5290	654	17	′′′	′′′	PROPN
aiti-5290	654	18	=	=	PUNCT
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aiti-5290	655	2	=	=	PUNCT
aiti-5290	655	3	=	=	PUNCT
aiti-5290	655	4			PROPN
aiti-5290	655	5	′′	′′	PROPN
aiti-5290	655	6	′′′	′′′	ADP
aiti-5290	655	7	′′	′′	PROPN
aiti-5290	655	8	′′′=	′′′=	NOUN
aiti-5290	655	9	=	=	PUNCT
aiti-5290	655	10	=	=	SYM
aiti-5290	655	11	=	=	NOUN
aiti-5290	655	12			NOUN
aiti-5290	655	13			ADJ
aiti-5290	655	14	′	′	NUM
aiti-5290	655	15	′=	′=	PROPN
aiti-5290	656	1	=	=	PRON
aiti-5290	656	2			NOUN
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aiti-5290	656	4	56	56	NUM
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aiti-5290	656	7	1)1	1)1	NUM
aiti-5290	656	8	(	(	PUNCT
aiti-5290	656	9	2)1	2)1	NUM
aiti-5290	656	10	(	(	PUNCT
aiti-5290	656	11	1)1	1)1	NUM
aiti-5290	656	12	(	(	PUNCT
aiti-5290	656	13	2)1	2)1	NUM
aiti-5290	656	14	(	(	PUNCT
aiti-5290	656	15	1)1	1)1	NUM
aiti-5290	656	16	(	(	PUNCT
aiti-5290	656	17	2)1	2)1	NUM
aiti-5290	656	18	(	(	PUNCT
aiti-5290	656	19	1)1	1)1	NUM
aiti-5290	656	20	(	(	PUNCT
aiti-5290	656	21	2)1	2)1	NUM
aiti-5290	656	22	(	(	PUNCT
aiti-5290	656	23	1)1	1)1	NUM
aiti-5290	656	24	(	(	PUNCT
aiti-5290	656	25	2)1	2)1	NUM
aiti-5290	656	26	(	(	PUNCT
aiti-5290	656	27	,	,	PUNCT
aiti-5290	656	28	)	)	PUNCT
aiti-5290	656	29	(	(	PUNCT
aiti-5290	656	30	0	0	NUM
aiti-5290	656	31	,	,	PUNCT
aiti-5290	656	32	)	)	PUNCT
aiti-5290	656	33	,	,	PUNCT
aiti-5290	656	34	(	(	PUNCT
aiti-5290	656	35	,	,	PUNCT
aiti-5290	656	36	)	)	PUNCT
aiti-5290	656	37	(	(	PUNCT
aiti-5290	656	38	0	0	NUM
aiti-5290	656	39	,	,	PUNCT
aiti-5290	656	40	)	)	PUNCT
aiti-5290	656	41	,	,	PUNCT
aiti-5290	656	42	(	(	PUNCT
aiti-5290	656	43	,	,	PUNCT
aiti-5290	656	44	)	)	PUNCT
aiti-5290	656	45	(	(	PUNCT
aiti-5290	656	46	0	0	NUM
aiti-5290	656	47	,	,	PUNCT
aiti-5290	656	48	)	)	PUNCT
aiti-5290	656	49	,	,	PUNCT
aiti-5290	656	50	(	(	PUNCT
aiti-5290	656	51	,	,	PUNCT
aiti-5290	656	52	)	)	PUNCT
aiti-5290	656	53	(	(	PUNCT
aiti-5290	656	54	0	0	NUM
aiti-5290	656	55	,	,	PUNCT
aiti-5290	656	56	)	)	PUNCT
aiti-5290	656	57	,	,	PUNCT
aiti-5290	656	58	(	(	PUNCT
aiti-5290	656	59	,	,	PUNCT
aiti-5290	656	60	)	)	PUNCT
aiti-5290	656	61	(	(	PUNCT
aiti-5290	656	62	0	0	NUM
aiti-5290	656	63	,	,	PUNCT
aiti-5290	656	64	)	)	PUNCT
aiti-5290	656	65	.	.	PUNCT
aiti-5290	657	1	y	y	PROPN
aiti-5290	657	2	t	t	PROPN
aiti-5290	657	3	y	y	PROPN
aiti-5290	657	4	t	t	PROPN
aiti-5290	657	5	y	y	PROPN
aiti-5290	657	6	t	t	PROPN
aiti-5290	658	1	y	y	PROPN
aiti-5290	658	2	t	t	PROPN
aiti-5290	658	3	z	z	PROPN
aiti-5290	658	4	t	t	PROPN
aiti-5290	658	5	z	z	PROPN
aiti-5290	658	6	t	t	PROPN
aiti-5290	658	7	z	z	PROPN
aiti-5290	658	8	t	t	PROPN
aiti-5290	658	9	z	z	PROPN
aiti-5290	658	10	t	t	PROPN
aiti-5290	658	11	t	t	PROPN
aiti-5290	658	12	t	t	PROPN
aiti-5290	658	13	η	η	PROPN
aiti-5290	658	14	η	η	PROPN
aiti-5290	658	15	η	η	PROPN
aiti-5290	658	16	η	η	PROPN
aiti-5290	658	17	γ	γ	PROPN
aiti-5290	658	18	η	η	PROPN
aiti-5290	658	19	γ	γ	X
aiti-5290	658	20	′	′	NUM
aiti-5290	658	21	′	′	NOUN
aiti-5290	659	1	=	=	SYM
aiti-5290	659	2	=	=	PUNCT
aiti-5290	659	3			PROPN
aiti-5290	659	4	′	′	NUM
aiti-5290	659	5	′=	′=	PROPN
aiti-5290	660	1	=	=	PRON
aiti-5290	660	2			X
aiti-5290	660	3			ADJ
aiti-5290	660	4	=	=	NUM
aiti-5290	660	5			NOUN
aiti-5290	660	6	(	(	PUNCT
aiti-5290	660	7	57	57	NUM
aiti-5290	660	8	)	)	PUNCT
aiti-5290	660	9	2.4	2.4	NUM
aiti-5290	660	10	.	.	PUNCT
aiti-5290	661	1	3d	3d	NUM
aiti-5290	661	2	free	free	ADJ
aiti-5290	661	3	-	-	PUNCT
aiti-5290	661	4	free	free	ADJ
aiti-5290	661	5	beam	beam	NOUN
aiti-5290	661	6	free	free	ADJ
aiti-5290	661	7	vibration	vibration	NOUN
aiti-5290	661	8	analysis	analysis	NOUN
aiti-5290	661	9	the	the	DET
aiti-5290	661	10	purpose	purpose	NOUN
aiti-5290	661	11	of	of	ADP
aiti-5290	661	12	this	this	DET
aiti-5290	661	13	section	section	NOUN
aiti-5290	661	14	is	be	AUX
aiti-5290	661	15	to	to	PART
aiti-5290	661	16	find	find	VERB
aiti-5290	661	17	the	the	DET
aiti-5290	661	18	mode	mode	NOUN
aiti-5290	661	19	shapes	shape	NOUN
aiti-5290	661	20	of	of	ADP
aiti-5290	661	21	this	this	DET
aiti-5290	661	22	vibration	vibration	NOUN
aiti-5290	661	23	beam	beam	NOUN
aiti-5290	661	24	by	by	ADP
aiti-5290	661	25	the	the	DET
aiti-5290	661	26	free	free	ADJ
aiti-5290	661	27	vibration	vibration	NOUN
aiti-5290	661	28	analysis	analysis	NOUN
aiti-5290	661	29	.	.	PUNCT
aiti-5290	662	1	by	by	ADP
aiti-5290	662	2	using	use	VERB
aiti-5290	662	3	the	the	DET
aiti-5290	662	4	moms	mom	NOUN
aiti-5290	662	5	(	(	PUNCT
aiti-5290	662	6	section	section	NOUN
aiti-5290	662	7	2.3	2.3	NUM
aiti-5290	662	8	)	)	PUNCT
aiti-5290	662	9	,	,	PUNCT
aiti-5290	662	10	the	the	DET
aiti-5290	662	11	80	80	NUM
aiti-5290	662	12	order	order	NOUN
aiti-5290	662	13	in	in	ADP
aiti-5290	662	14	the	the	DET
aiti-5290	662	15	y	y	PROPN
aiti-5290	662	16	direction	direction	NOUN
aiti-5290	662	17	is	be	AUX
aiti-5290	662	18	expressed	express	VERB
aiti-5290	662	19	in	in	ADP
aiti-5290	662	20	eq	eq	ADP
aiti-5290	662	21	.	.	PUNCT
aiti-5290	663	1	(	(	PUNCT
aiti-5290	663	2	48	48	NUM
aiti-5290	663	3	)	)	PUNCT
aiti-5290	663	4	.	.	PUNCT
aiti-5290	664	1	the	the	DET
aiti-5290	664	2	�	�	PROPN
aiti-5290	664	3	$	$	SYM
aiti-5290	664	4	�	�	PROPN
aiti-5290	664	5	.	.	PUNCT
aiti-5290	664	6	is	be	AUX
aiti-5290	664	7	divided	divide	VERB
aiti-5290	664	8	into	into	ADP
aiti-5290	664	9	time	time	NOUN
aiti-5290	664	10	and	and	CCONJ
aiti-5290	664	11	space	space	NOUN
aiti-5290	664	12	by	by	ADP
aiti-5290	664	13	using	use	VERB
aiti-5290	664	14	the	the	DET
aiti-5290	664	15	separation	separation	NOUN
aiti-5290	664	16	of	of	ADP
aiti-5290	664	17	variables	variable	NOUN
aiti-5290	664	18	,	,	PUNCT
aiti-5290	664	19	defined	define	VERB
aiti-5290	664	20	as	as	ADP
aiti-5290	664	21	�	�	PROPN
aiti-5290	664	22	$	$	SYM
aiti-5290	664	23	�	�	PROPN
aiti-5290	664	24	.	.	PUNCT
aiti-5290	665	1	=	=	PRON
aiti-5290	665	2	>	>	PUNCT
aiti-5290	665	3	�	�	PROPN
aiti-5290	665	4	�	�	PROPN
aiti-5290	665	5	7	7	NUM
aiti-5290	665	6	�	�	PROPN
aiti-5290	665	7	�	�	PROPN
aiti-5290	665	8	,	,	PUNCT
aiti-5290	665	9	and	and	CCONJ
aiti-5290	665	10	substituted	substitute	VERB
aiti-5290	665	11	in	in	ADP
aiti-5290	665	12	eq	eq	ADP
aiti-5290	665	13	.	.	PUNCT
aiti-5290	666	1	(	(	PUNCT
aiti-5290	666	2	48	48	NUM
aiti-5290	666	3	)	)	PUNCT
aiti-5290	666	4	to	to	PART
aiti-5290	666	5	obtain	obtain	VERB
aiti-5290	666	6	:	:	PUNCT
aiti-5290	666	7	2	2	NUM
aiti-5290	666	8	40	40	NUM
aiti-5290	666	9	(	(	PUNCT
aiti-5290	666	10	)	)	PUNCT
aiti-5290	666	11	(	(	PUNCT
aiti-5290	666	12	)	)	PUNCT
aiti-5290	667	1	(	(	PUNCT
aiti-5290	667	2	)	)	PUNCT
aiti-5290	667	3	(	(	PUNCT
aiti-5290	667	4	)	)	PUNCT
aiti-5290	667	5	iv	iv	X
aiti-5290	667	6	d	d	NOUN
aiti-5290	667	7	t	t	X
aiti-5290	667	8	tx	tx	PROPN
aiti-5290	667	9	x	x	PUNCT
aiti-5290	667	10	x	x	PUNCT
aiti-5290	667	11	x	x	SYM
aiti-5290	667	12	t	t	PROPN
aiti-5290	667	13	t	t	X
aiti-5290	667	14	α=	α=	NOUN
aiti-5290	667	15	−	−	PROPN
aiti-5290	668	1	=	=	SYM
aiti-5290	669	1	(	(	PUNCT
aiti-5290	669	2	58	58	NUM
aiti-5290	669	3	)	)	PUNCT
aiti-5290	669	4	where	where	SCONJ
aiti-5290	669	5	?	?	PUNCT
aiti-5290	670	1	is	be	AUX
aiti-5290	670	2	the	the	DET
aiti-5290	670	3	eigenvalue	eigenvalue	NOUN
aiti-5290	670	4	of	of	ADP
aiti-5290	670	5	the	the	DET
aiti-5290	670	6	system	system	NOUN
aiti-5290	670	7	.	.	PUNCT
aiti-5290	671	1	the	the	DET
aiti-5290	671	2	general	general	ADJ
aiti-5290	671	3	solution	solution	NOUN
aiti-5290	671	4	of	of	ADP
aiti-5290	671	5	>	>	PUNCT
aiti-5290	671	6	�	�	PROPN
aiti-5290	671	7	�	�	PROPN
aiti-5290	671	8	is	be	AUX
aiti-5290	671	9	assumed	assume	VERB
aiti-5290	671	10	as	as	ADP
aiti-5290	671	11	:	:	PUNCT
aiti-5290	671	12	1	1	NUM
aiti-5290	671	13	2	2	NUM
aiti-5290	671	14	3	3	NUM
aiti-5290	671	15	4	4	NUM
aiti-5290	671	16	(	(	PUNCT
aiti-5290	671	17	)	)	PUNCT
aiti-5290	671	18	(	(	PUNCT
aiti-5290	671	19	sin	sin	NOUN
aiti-5290	671	20	sinh	sinh	PROPN
aiti-5290	671	21	)	)	PUNCT
aiti-5290	672	1	(	(	PUNCT
aiti-5290	672	2	sin	sin	NOUN
aiti-5290	672	3	sinh	sinh	PROPN
aiti-5290	672	4	)	)	PUNCT
aiti-5290	673	1	(	(	PUNCT
aiti-5290	673	2	cos	cos	ADP
aiti-5290	673	3	cosh	cosh	PROPN
aiti-5290	673	4	)	)	PUNCT
aiti-5290	673	5	(	(	PUNCT
aiti-5290	673	6	cos	cos	ADP
aiti-5290	673	7	cosh	cosh	PROPN
aiti-5290	673	8	)	)	PUNCT
aiti-5290	673	9	x	x	PUNCT
aiti-5290	674	1	x	x	PUNCT
aiti-5290	674	2	e	e	X
aiti-5290	674	3	x	x	PUNCT
aiti-5290	674	4	x	x	X
aiti-5290	674	5	e	e	NOUN
aiti-5290	674	6	x	x	PUNCT
aiti-5290	674	7	x	x	X
aiti-5290	674	8	e	e	NOUN
aiti-5290	674	9	x	x	PUNCT
aiti-5290	674	10	x	x	X
aiti-5290	674	11	e	e	X
aiti-5290	674	12	x	x	NOUN
aiti-5290	674	13	xα	xα	INTJ
aiti-5290	674	14	α	α	NOUN
aiti-5290	674	15	α	α	NOUN
aiti-5290	674	16	α	α	NOUN
aiti-5290	674	17	α	α	NOUN
aiti-5290	674	18	α	α	NOUN
aiti-5290	674	19	α	α	NOUN
aiti-5290	674	20	α=	α=	NOUN
aiti-5290	675	1	+	+	X
aiti-5290	676	1	+	+	CCONJ
aiti-5290	676	2	−	−	X
aiti-5290	677	1	+	+	SYM
aiti-5290	677	2	+	+	PUNCT
aiti-5290	678	1	+	+	CCONJ
aiti-5290	678	2	−	−	PROPN
aiti-5290	678	3	(	(	PUNCT
aiti-5290	678	4	59	59	NUM
aiti-5290	678	5	)	)	PUNCT
aiti-5290	678	6	advances	advance	NOUN
aiti-5290	678	7	in	in	ADP
aiti-5290	678	8	technology	technology	NOUN
aiti-5290	678	9	innovation	innovation	NOUN
aiti-5290	678	10	,	,	PUNCT
aiti-5290	678	11	vol	vol	NOUN
aiti-5290	678	12	.	.	PROPN
aiti-5290	678	13	5	5	NUM
aiti-5290	678	14	,	,	PUNCT
aiti-5290	678	15	no	no	INTJ
aiti-5290	678	16	.	.	NOUN
aiti-5290	678	17	4	4	NUM
aiti-5290	678	18	,	,	PUNCT
aiti-5290	678	19	2020	2020	NUM
aiti-5290	678	20	,	,	PUNCT
aiti-5290	678	21	pp	pp	ADV
aiti-5290	678	22	.	.	PUNCT
aiti-5290	679	1	270	270	NUM
aiti-5290	679	2	-	-	SYM
aiti-5290	679	3	291	291	NUM
aiti-5290	679	4	279	279	NUM
aiti-5290	679	5	and	and	CCONJ
aiti-5290	679	6	substituted	substitute	VERB
aiti-5290	679	7	into	into	ADP
aiti-5290	679	8	the	the	DET
aiti-5290	679	9	boundary	boundary	ADJ
aiti-5290	679	10	conditions	condition	NOUN
aiti-5290	679	11	,	,	PUNCT
aiti-5290	679	12	which	which	PRON
aiti-5290	679	13	reveals	reveal	VERB
aiti-5290	679	14	that	that	SCONJ
aiti-5290	679	15	e1	e1	NOUN
aiti-5290	679	16	=	=	SYM
aiti-5290	679	17	e3	e3	NOUN
aiti-5290	679	18	=	=	SYM
aiti-5290	679	19	0	0	NUM
aiti-5290	679	20	and	and	CCONJ
aiti-5290	679	21	that	that	SCONJ
aiti-5290	679	22	the	the	DET
aiti-5290	679	23	characteristic	characteristic	ADJ
aiti-5290	679	24	equation	equation	NOUN
aiti-5290	679	25	is	be	AUX
aiti-5290	679	26	cos	cos	ADP
aiti-5290	679	27	cosh	cosh	PROPN
aiti-5290	679	28	1α	1α	NUM
aiti-5290	679	29	α	α	X
aiti-5290	679	30	=	=	SYM
aiti-5290	679	31	(	(	PUNCT
aiti-5290	679	32	60	60	NUM
aiti-5290	679	33	)	)	PUNCT
aiti-5290	679	34	then	then	ADV
aiti-5290	679	35	the	the	DET
aiti-5290	679	36	mode	mode	NOUN
aiti-5290	679	37	shape	shape	NOUN
aiti-5290	679	38	of	of	ADP
aiti-5290	679	39	the	the	DET
aiti-5290	679	40	i	i	PROPN
aiti-5290	679	41	th	th	X
aiti-5290	679	42	mode	mode	NOUN
aiti-5290	679	43	can	can	AUX
aiti-5290	679	44	be	be	AUX
aiti-5290	679	45	expressed	express	VERB
aiti-5290	679	46	as	as	ADP
aiti-5290	679	47	the	the	DET
aiti-5290	679	48	following	following	NOUN
aiti-5290	679	49	:	:	PUNCT
aiti-5290	679	50	)	)	PUNCT
aiti-5290	679	51	cosh(cos	cosh(cos	PROPN
aiti-5290	679	52	coscosh	coscosh	NOUN
aiti-5290	679	53	sinhsin	sinhsin	NOUN
aiti-5290	679	54	)	)	PUNCT
aiti-5290	679	55	(	(	PUNCT
aiti-5290	679	56	sinhsin	sinhsin	NOUN
aiti-5290	679	57	)	)	PUNCT
aiti-5290	679	58	(	(	PUNCT
aiti-5290	679	59	)	)	PUNCT
aiti-5290	679	60	(	(	PUNCT
aiti-5290	679	61	xxxxx	xxxxx	PROPN
aiti-5290	679	62	ii	ii	PROPN
aiti-5290	679	63	ii	ii	PROPN
aiti-5290	679	64	ii	ii	PROPN
aiti-5290	679	65	iii	iii	PROPN
aiti-5290	679	66	αα	αα	PROPN
aiti-5290	679	67	αα	αα	PROPN
aiti-5290	679	68	αα	αα	NOUN
aiti-5290	679	69	ααϕ	ααϕ	NOUN
aiti-5290	679	70	+	+	CCONJ
aiti-5290	679	71	−	−	NOUN
aiti-5290	679	72	−	−	PROPN
aiti-5290	680	1	+	+	PROPN
aiti-5290	680	2	+	+	NOUN
aiti-5290	680	3	=	=	X
aiti-5290	680	4	(	(	PUNCT
aiti-5290	680	5	61	61	NUM
aiti-5290	680	6	)	)	SYM
aiti-5290	680	7	3	3	NUM
aiti-5290	680	8	.	.	PUNCT
aiti-5290	680	9	frequency	frequency	NOUN
aiti-5290	680	10	response	response	NOUN
aiti-5290	680	11	3.1	3.1	NUM
aiti-5290	680	12	.	.	PUNCT
aiti-5290	681	1	conditions	condition	NOUN
aiti-5290	681	2	for	for	ADP
aiti-5290	681	3	internal	internal	ADJ
aiti-5290	681	4	resonance	resonance	NOUN
aiti-5290	681	5	the	the	DET
aiti-5290	681	6	natural	natural	ADJ
aiti-5290	681	7	frequency	frequency	NOUN
aiti-5290	681	8	will	will	AUX
aiti-5290	681	9	be	be	AUX
aiti-5290	681	10	changed	change	VERB
aiti-5290	681	11	if	if	SCONJ
aiti-5290	681	12	the	the	DET
aiti-5290	681	13	diameter	diameter	NOUN
aiti-5290	681	14	and	and	CCONJ
aiti-5290	681	15	length	length	NOUN
aiti-5290	681	16	of	of	ADP
aiti-5290	681	17	the	the	DET
aiti-5290	681	18	beam	beam	NOUN
aiti-5290	681	19	are	be	AUX
aiti-5290	681	20	altered	alter	VERB
aiti-5290	681	21	.	.	PUNCT
aiti-5290	682	1	the	the	DET
aiti-5290	682	2	diameter	diameter	NOUN
aiti-5290	682	3	ratios	ratio	NOUN
aiti-5290	682	4	and	and	CCONJ
aiti-5290	682	5	the	the	DET
aiti-5290	682	6	sectional	sectional	ADJ
aiti-5290	682	7	length	length	NOUN
aiti-5290	682	8	ratios	ratio	NOUN
aiti-5290	682	9	of	of	ADP
aiti-5290	682	10	the	the	DET
aiti-5290	682	11	compound	compound	NOUN
aiti-5290	682	12	beam	beam	NOUN
aiti-5290	682	13	are	be	AUX
aiti-5290	682	14	the	the	DET
aiti-5290	682	15	main	main	ADJ
aiti-5290	682	16	properties	property	NOUN
aiti-5290	682	17	to	to	PART
aiti-5290	682	18	trigger	trigger	VERB
aiti-5290	682	19	internal	internal	ADJ
aiti-5290	682	20	resonance	resonance	NOUN
aiti-5290	682	21	.	.	PUNCT
aiti-5290	683	1	references	reference	NOUN
aiti-5290	683	2	[	[	X
aiti-5290	683	3	21	21	NUM
aiti-5290	683	4	and	and	CCONJ
aiti-5290	683	5	22	22	NUM
aiti-5290	683	6	]	]	PUNCT
aiti-5290	683	7	showed	show	VERB
aiti-5290	683	8	that	that	SCONJ
aiti-5290	683	9	the	the	DET
aiti-5290	683	10	diameter	diameter	NOUN
aiti-5290	683	11	ratio	ratio	NOUN
aiti-5290	683	12	range	range	NOUN
aiti-5290	683	13	is	be	AUX
aiti-5290	683	14	from	from	ADP
aiti-5290	683	15	1/0.6	1/0.6	NUM
aiti-5290	683	16	to	to	ADP
aiti-5290	683	17	1/0.9	1/0.9	NUM
aiti-5290	683	18	for	for	ADP
aiti-5290	683	19	the	the	DET
aiti-5290	683	20	space	space	NOUN
aiti-5290	683	21	rockets	rocket	NOUN
aiti-5290	683	22	.	.	PUNCT
aiti-5290	684	1	the	the	DET
aiti-5290	684	2	case	case	NOUN
aiti-5290	684	3	of	of	ADP
aiti-5290	684	4	�	�	PROPN
aiti-5290	684	5	̅0/	̅0/	PROPN
aiti-5290	684	6	�	�	PROPN
aiti-5290	684	7	̅6	̅6	NOUN
aiti-5290	684	8	=	=	SYM
aiti-5290	684	9	1/0.75	1/0.75	PROPN
aiti-5290	684	10	is	be	AUX
aiti-5290	684	11	chosen	choose	VERB
aiti-5290	684	12	as	as	ADP
aiti-5290	684	13	the	the	DET
aiti-5290	684	14	test	test	NOUN
aiti-5290	684	15	case	case	NOUN
aiti-5290	684	16	.	.	PUNCT
aiti-5290	685	1	the	the	DET
aiti-5290	685	2	transfer	transfer	NOUN
aiti-5290	685	3	matrix	matrix	NOUN
aiti-5290	685	4	method	method	NOUN
aiti-5290	685	5	[	[	X
aiti-5290	685	6	17	17	NUM
aiti-5290	685	7	,	,	PUNCT
aiti-5290	685	8	23	23	NUM
aiti-5290	685	9	]	]	PUNCT
aiti-5290	685	10	is	be	AUX
aiti-5290	685	11	used	use	VERB
aiti-5290	685	12	to	to	PART
aiti-5290	685	13	find	find	VERB
aiti-5290	685	14	the	the	DET
aiti-5290	685	15	relationship	relationship	NOUN
aiti-5290	685	16	between	between	ADP
aiti-5290	685	17	modal	modal	ADJ
aiti-5290	685	18	frequency	frequency	NOUN
aiti-5290	685	19	and	and	CCONJ
aiti-5290	685	20	the	the	DET
aiti-5290	685	21	sectional	sectional	ADJ
aiti-5290	685	22	length	length	NOUN
aiti-5290	685	23	ratio	ratio	NOUN
aiti-5290	685	24	(	(	PUNCT
aiti-5290	685	25	5	5	NUM
aiti-5290	685	26	)	)	PUNCT
aiti-5290	685	27	for	for	ADP
aiti-5290	685	28	the	the	DET
aiti-5290	685	29	beam	beam	NOUN
aiti-5290	685	30	.	.	PUNCT
aiti-5290	686	1	the	the	DET
aiti-5290	686	2	conditions	condition	NOUN
aiti-5290	686	3	for	for	ADP
aiti-5290	686	4	internal	internal	ADJ
aiti-5290	686	5	resonance	resonance	NOUN
aiti-5290	686	6	can	can	AUX
aiti-5290	686	7	be	be	AUX
aiti-5290	686	8	obtained	obtain	VERB
aiti-5290	686	9	by	by	ADP
aiti-5290	686	10	a	a	DET
aiti-5290	686	11	certain	certain	ADJ
aiti-5290	686	12	combination	combination	NOUN
aiti-5290	686	13	of	of	ADP
aiti-5290	686	14	5	5	NUM
aiti-5290	686	15	.	.	PUNCT
aiti-5290	686	16	taking	take	VERB
aiti-5290	686	17	an	an	DET
aiti-5290	686	18	example	example	NOUN
aiti-5290	686	19	of	of	ADP
aiti-5290	686	20	the	the	DET
aiti-5290	686	21	y	y	NOUN
aiti-5290	686	22	-	-	PUNCT
aiti-5290	686	23	direction	direction	NOUN
aiti-5290	686	24	motion	motion	NOUN
aiti-5290	686	25	and	and	CCONJ
aiti-5290	686	26	using	use	VERB
aiti-5290	686	27	the	the	DET
aiti-5290	686	28	separation	separation	NOUN
aiti-5290	686	29	of	of	ADP
aiti-5290	686	30	variables	variable	NOUN
aiti-5290	686	31	,	,	PUNCT
aiti-5290	686	32	the	the	DET
aiti-5290	686	33	following	follow	VERB
aiti-5290	686	34	expression	expression	NOUN
aiti-5290	686	35	for	for	ADP
aiti-5290	686	36	y(i)0	y(i)0	PROPN
aiti-5290	686	37	can	can	AUX
aiti-5290	686	38	be	be	AUX
aiti-5290	686	39	obtained	obtain	VERB
aiti-5290	686	40	by	by	ADP
aiti-5290	686	41	:	:	PUNCT
aiti-5290	686	42	(	(	PUNCT
aiti-5290	686	43	)	)	PUNCT
aiti-5290	686	44	0	0	NUM
aiti-5290	686	45	(	(	PUNCT
aiti-5290	686	46	)	)	PUNCT
aiti-5290	686	47	0	0	NUM
aiti-5290	686	48	(	(	PUNCT
aiti-5290	686	49	)	)	PUNCT
aiti-5290	686	50	(	(	PUNCT
aiti-5290	686	51	)	)	PUNCT
aiti-5290	686	52	,	,	PUNCT
aiti-5290	686	53	1	1	NUM
aiti-5290	686	54	,	,	PUNCT
aiti-5290	686	55	)	)	PUNCT
aiti-5290	686	56	2(i	2(i	NUM
aiti-5290	687	1	i	i	PRON
aiti-5290	687	2	yy	yy	VERB
aiti-5290	687	3	x	x	X
aiti-5290	687	4	itϕ	itϕ	VERB
aiti-5290	687	5	ξ	ξ	X
aiti-5290	687	6	=	=	X
aiti-5290	687	7	=	=	SYM
aiti-5290	687	8	　 	　 	SPACE
aiti-5290	687	9	(	(	PUNCT
aiti-5290	687	10	62	62	NUM
aiti-5290	687	11	)	)	PUNCT
aiti-5290	687	12	substituting	substitute	VERB
aiti-5290	687	13	eq	eq	ADP
aiti-5290	687	14	.	.	PUNCT
aiti-5290	688	1	(	(	PUNCT
aiti-5290	688	2	62	62	NUM
aiti-5290	688	3	)	)	PUNCT
aiti-5290	688	4	into	into	ADP
aiti-5290	688	5	eq	eq	NOUN
aiti-5290	688	6	.	.	PUNCT
aiti-5290	689	1	(	(	PUNCT
aiti-5290	689	2	48	48	NUM
aiti-5290	689	3	)	)	PUNCT
aiti-5290	689	4	and	and	CCONJ
aiti-5290	689	5	dividing	divide	VERB
aiti-5290	689	6	by	by	ADP
aiti-5290	689	7	d	d	PROPN
aiti-5290	689	8	$	$	SYM
aiti-5290	689	9	�	�	PROPN
aiti-5290	689	10	�	�	PROPN
aiti-5290	689	11	�	�	PROPN
aiti-5290	689	12	e	e	NOUN
aiti-5290	689	13	�	�	PROPN
aiti-5290	689	14	.	.	PUNCT
aiti-5290	689	15	�	�	PROPN
aiti-5290	689	16	�	�	PROPN
aiti-5290	689	17	,	,	PUNCT
aiti-5290	689	18	it	it	PRON
aiti-5290	689	19	yields	yield	VERB
aiti-5290	689	20	:	:	PUNCT
aiti-5290	689	21	(	(	PUNCT
aiti-5290	689	22	)	)	PUNCT
aiti-5290	689	23	0	0	SYM
aiti-5290	689	24	0	0	NUM
aiti-5290	689	25	2	2	NUM
aiti-5290	689	26	0	0	NUM
aiti-5290	689	27	(	(	PUNCT
aiti-5290	689	28	)	)	PUNCT
aiti-5290	689	29	4	4	NUM
aiti-5290	689	30	(	(	PUNCT
aiti-5290	689	31	)	)	PUNCT
aiti-5290	689	32	(	(	PUNCT
aiti-5290	689	33	)	)	PUNCT
aiti-5290	689	34	(	(	PUNCT
aiti-5290	689	35	)	)	PUNCT
aiti-5290	689	36	,	,	PUNCT
aiti-5290	689	37	)	)	PUNCT
aiti-5290	689	38	1	1	NUM
aiti-5290	689	39	,	,	PUNCT
aiti-5290	689	40	(	(	PUNCT
aiti-5290	689	41	(	(	PUNCT
aiti-5290	689	42	2	2	X
aiti-5290	689	43	)	)	PUNCT
aiti-5290	689	44	iv	iv	X
aiti-5290	689	45	yi	yi	INTJ
aiti-5290	690	1	i	i	PRON
aiti-5290	690	2	i	i	INTJ
aiti-5290	691	1	y	y	PROPN
aiti-5290	691	2	tx	tx	PROPN
aiti-5290	692	1	t	t	PROPN
aiti-5290	693	1	i	i	PRON
aiti-5290	694	1	d	d	NOUN
aiti-5290	694	2	x	x	X
aiti-5290	694	3	ξϕ	ξϕ	ADP
aiti-5290	694	4	λ	λ	PROPN
aiti-5290	694	5	ϕ	ϕ	X
aiti-5290	694	6	ξ	ξ	X
aiti-5290	694	7	=	=	SYM
aiti-5290	694	8	=	=	SYM
aiti-5290	694	9	=	=	SYM
aiti-5290	694	10	−	−	PROPN
aiti-5290	694	11	　 	　 	SPACE
aiti-5290	694	12	(	(	PUNCT
aiti-5290	694	13	63	63	NUM
aiti-5290	694	14	)	)	PUNCT
aiti-5290	694	15	where	where	SCONJ
aiti-5290	694	16	d	d	PROPN
aiti-5290	694	17	$	$	SYM
aiti-5290	694	18	�	�	PROPN
aiti-5290	694	19	�	�	PROPN
aiti-5290	694	20	�	�	PROPN
aiti-5290	694	21	can	can	AUX
aiti-5290	694	22	be	be	AUX
aiti-5290	694	23	expressed	express	VERB
aiti-5290	694	24	as	as	ADP
aiti-5290	694	25	:	:	PUNCT
aiti-5290	694	26	(	(	PUNCT
aiti-5290	694	27	1	1	X
aiti-5290	694	28	)	)	SYM
aiti-5290	694	29	1	1	NUM
aiti-5290	694	30	1	1	NUM
aiti-5290	694	31	1	1	NUM
aiti-5290	694	32	1	1	NUM
aiti-5290	694	33	1	1	NUM
aiti-5290	694	34	1	1	NUM
aiti-5290	694	35	1	1	NUM
aiti-5290	694	36	(	(	PUNCT
aiti-5290	694	37	)	)	PUNCT
aiti-5290	694	38	cosh	cosh	PROPN
aiti-5290	694	39	(	(	PUNCT
aiti-5290	694	40	)	)	PUNCT
aiti-5290	694	41	sinh	sinh	PROPN
aiti-5290	694	42	(	(	PUNCT
aiti-5290	694	43	)	)	PUNCT
aiti-5290	694	44	cos	cos	PROPN
aiti-5290	694	45	(	(	PUNCT
aiti-5290	694	46	)	)	PUNCT
aiti-5290	694	47	sin	sin	NOUN
aiti-5290	694	48	(	(	PUNCT
aiti-5290	694	49	)	)	PUNCT
aiti-5290	694	50	i	i	PRON
aiti-5290	694	51	x	x	X
aiti-5290	695	1	a	a	PRON
aiti-5290	695	2	x	x	X
aiti-5290	695	3	b	b	NOUN
aiti-5290	695	4	x	x	NOUN
aiti-5290	695	5	c	c	NOUN
aiti-5290	695	6	x	x	SYM
aiti-5290	696	1	d	d	NOUN
aiti-5290	696	2	xϕ	xϕ	PUNCT
aiti-5290	697	1	λ	λ	X
aiti-5290	697	2	λ	λ	X
aiti-5290	697	3	λ	λ	NOUN
aiti-5290	697	4	λ=	λ=	VERB
aiti-5290	697	5	+	+	CCONJ
aiti-5290	698	1	+	+	PUNCT
aiti-5290	698	2	+	+	CCONJ
aiti-5290	698	3	(	(	PUNCT
aiti-5290	698	4	64	64	NUM
aiti-5290	698	5	)	)	PUNCT
aiti-5290	698	6	(	(	PUNCT
aiti-5290	698	7	2	2	NUM
aiti-5290	698	8	)	)	SYM
aiti-5290	698	9	2	2	NUM
aiti-5290	698	10	2	2	NUM
aiti-5290	698	11	2	2	NUM
aiti-5290	698	12	2	2	NUM
aiti-5290	698	13	2	2	NUM
aiti-5290	698	14	2	2	NUM
aiti-5290	698	15	2	2	NUM
aiti-5290	698	16	2	2	NUM
aiti-5290	698	17	(	(	PUNCT
aiti-5290	698	18	)	)	PUNCT
aiti-5290	698	19	cosh	cosh	PROPN
aiti-5290	698	20	(	(	PUNCT
aiti-5290	698	21	(	(	PUNCT
aiti-5290	698	22	)	)	PUNCT
aiti-5290	698	23	)	)	PUNCT
aiti-5290	698	24	sinh	sinh	NOUN
aiti-5290	698	25	(	(	PUNCT
aiti-5290	698	26	(	(	PUNCT
aiti-5290	698	27	)	)	PUNCT
aiti-5290	698	28	)	)	PUNCT
aiti-5290	699	1	cos	cos	PROPN
aiti-5290	699	2	(	(	PUNCT
aiti-5290	699	3	(	(	PUNCT
aiti-5290	699	4	)	)	PUNCT
aiti-5290	699	5	)	)	PUNCT
aiti-5290	699	6	cos	cos	PROPN
aiti-5290	699	7	(	(	PUNCT
aiti-5290	699	8	(	(	PUNCT
aiti-5290	699	9	)	)	PUNCT
aiti-5290	699	10	)	)	PUNCT
aiti-5290	699	11	x	x	X
aiti-5290	700	1	a	a	DET
aiti-5290	700	2	x	x	X
aiti-5290	700	3	b	b	NOUN
aiti-5290	700	4	x	x	NOUN
aiti-5290	700	5	c	c	NOUN
aiti-5290	700	6	x	x	SYM
aiti-5290	700	7	d	d	X
aiti-5290	700	8	xϕ	xϕ	PROPN
aiti-5290	700	9	η	η	PROPN
aiti-5290	700	10	λ	λ	PROPN
aiti-5290	700	11	η	η	PROPN
aiti-5290	700	12	λ	λ	PROPN
aiti-5290	700	13	η	η	PROPN
aiti-5290	700	14	λ	λ	PROPN
aiti-5290	700	15	η	η	PROPN
aiti-5290	700	16	λ	λ	PROPN
aiti-5290	700	17	η−	η−	PROPN
aiti-5290	700	18	=	=	PUNCT
aiti-5290	700	19	−	−	PROPN
aiti-5290	701	1	+	+	CCONJ
aiti-5290	701	2	−	−	PROPN
aiti-5290	702	1	+	+	CCONJ
aiti-5290	702	2	−	−	PROPN
aiti-5290	703	1	+	+	CCONJ
aiti-5290	703	2	−	−	PROPN
aiti-5290	703	3	(	(	PUNCT
aiti-5290	703	4	65	65	NUM
aiti-5290	703	5	)	)	PUNCT
aiti-5290	703	6	where	where	SCONJ
aiti-5290	703	7	f0	f0	PROPN
aiti-5290	703	8	is	be	AUX
aiti-5290	703	9	the	the	DET
aiti-5290	703	10	eigen	eigen	PROPN
aiti-5290	703	11	value	value	NOUN
aiti-5290	703	12	.	.	PUNCT
aiti-5290	704	1	from	from	ADP
aiti-5290	704	2	[	[	X
aiti-5290	704	3	23	23	NUM
aiti-5290	704	4	]	]	PUNCT
aiti-5290	704	5	,	,	PUNCT
aiti-5290	704	6	f0	f0	PROPN
aiti-5290	704	7	and	and	CCONJ
aiti-5290	704	8	f6	f6	PROPN
aiti-5290	704	9	satisfy	satisfy	VERB
aiti-5290	704	10	the	the	DET
aiti-5290	704	11	relationship	relationship	NOUN
aiti-5290	704	12	f6	f6	PROPN
aiti-5290	704	13	=	=	PUNCT
aiti-5290	704	14	g6	g6	PROPN
aiti-5290	704	15	�	�	PROPN
aiti-5290	704	16	0̅/g0	0̅/g0	PROPN
aiti-5290	704	17	�	�	PROPN
aiti-5290	704	18	6̅	6̅	PROPN
aiti-5290	704	19	�	�	PROPN
aiti-5290	704	20	0	0	NUM
aiti-5290	704	21	/	/	SYM
aiti-5290	704	22	hf0	hf0	NOUN
aiti-5290	704	23	,	,	PUNCT
aiti-5290	704	24	where	where	SCONJ
aiti-5290	704	25	a	a	PRON
aiti-5290	704	26	is	be	AUX
aiti-5290	704	27	the	the	DET
aiti-5290	704	28	area	area	NOUN
aiti-5290	704	29	of	of	ADP
aiti-5290	704	30	beam	beam	PROPN
aiti-5290	704	31	’s	’s	PART
aiti-5290	704	32	cross	cross	NOUN
aiti-5290	704	33	-	-	NOUN
aiti-5290	704	34	section	section	NOUN
aiti-5290	704	35	and	and	CCONJ
aiti-5290	704	36	i	i	PRON
aiti-5290	704	37	is	be	AUX
aiti-5290	704	38	the	the	DET
aiti-5290	704	39	moment	moment	NOUN
aiti-5290	704	40	of	of	ADP
aiti-5290	704	41	inertia	inertia	NOUN
aiti-5290	704	42	.	.	PUNCT
aiti-5290	705	1	since	since	SCONJ
aiti-5290	705	2	circular	circular	ADJ
aiti-5290	705	3	cross	cross	NOUN
aiti-5290	705	4	-	-	NOUN
aiti-5290	705	5	sections	section	NOUN
aiti-5290	705	6	are	be	AUX
aiti-5290	705	7	considered	consider	VERB
aiti-5290	705	8	,	,	PUNCT
aiti-5290	705	9	f6	f6	PROPN
aiti-5290	705	10	=	=	SYM
aiti-5290	705	11	�	�	PROPN
aiti-5290	705	12	̅0/	̅0/	PROPN
aiti-5290	705	13	�	�	PROPN
aiti-5290	705	14	̅6	̅6	NOUN
aiti-5290	705	15	�	�	NOUN
aiti-5290	705	16	0/6f0	0/6f0	ADP
aiti-5290	705	17	=	=	SYM
aiti-5290	705	18	1.1547f0	1.1547f0	NUM
aiti-5290	705	19	.	.	PUNCT
aiti-5290	706	1	the	the	DET
aiti-5290	706	2	mode	mode	NOUN
aiti-5290	706	3	shape	shape	NOUN
aiti-5290	706	4	is	be	AUX
aiti-5290	706	5	expressed	express	VERB
aiti-5290	706	6	as	as	ADP
aiti-5290	706	7	:	:	PUNCT
aiti-5290	706	8	(	(	PUNCT
aiti-5290	706	9	)	)	PUNCT
aiti-5290	706	10	(	(	PUNCT
aiti-5290	706	11	1	1	NUM
aiti-5290	706	12	)	)	PUNCT
aiti-5290	706	13	(	(	PUNCT
aiti-5290	706	14	2	2	NUM
aiti-5290	706	15	)	)	PUNCT
aiti-5290	706	16	(	(	PUNCT
aiti-5290	706	17	1	1	NUM
aiti-5290	706	18	)	)	PUNCT
aiti-5290	706	19	(	(	PUNCT
aiti-5290	706	20	)	)	PUNCT
aiti-5290	706	21	(	(	PUNCT
aiti-5290	706	22	)	)	PUNCT
aiti-5290	706	23	(	(	PUNCT
aiti-5290	706	24	)	)	PUNCT
aiti-5290	706	25	(	(	PUNCT
aiti-5290	706	26	)	)	PUNCT
aiti-5290	706	27	x	x	SYM
aiti-5290	706	28	x	x	PUNCT
aiti-5290	706	29	x	x	PUNCT
aiti-5290	706	30	x	x	SYM
aiti-5290	706	31	h	h	NOUN
aiti-5290	706	32	xϕ	xϕ	PUNCT
aiti-5290	707	1	ϕ	ϕ	PROPN
aiti-5290	707	2	ϕ	ϕ	PROPN
aiti-5290	707	3	η	η	PROPN
aiti-5290	707	4	ϕ	ϕ	X
aiti-5290	707	5	η	η	NOUN
aiti-5290	707	6	=	=	PUNCT
aiti-5290	707	7	+	+	CCONJ
aiti-5290	707	8	−	−	ADP
aiti-5290	707	9	−	−	NOUN
aiti-5290	707	10	−	−	PROPN
aiti-5290	707	11			PROPN
aiti-5290	707	12	(	(	PUNCT
aiti-5290	707	13	66	66	NUM
aiti-5290	707	14	)	)	PUNCT
aiti-5290	707	15	where	where	SCONJ
aiti-5290	707	16	j	j	PROPN
aiti-5290	707	17	�	�	PROPN
aiti-5290	707	18	is	be	AUX
aiti-5290	707	19	the	the	DET
aiti-5290	707	20	heaviside	heaviside	ADJ
aiti-5290	707	21	function	function	NOUN
aiti-5290	707	22	.	.	PUNCT
aiti-5290	708	1	the	the	DET
aiti-5290	708	2	researchers	researcher	NOUN
aiti-5290	708	3	define	define	VERB
aiti-5290	708	4	matrix	matrix	NOUN
aiti-5290	708	5	k	k	PROPN
aiti-5290	708	6	0	0	NUM
aiti-5290	708	7	�	�	PROPN
aiti-5290	708	8	and	and	CCONJ
aiti-5290	708	9	l	l	PROPN
aiti-5290	708	10	0	0	NUM
aiti-5290	708	11	�	�	PROPN
aiti-5290	708	12	as	as	ADP
aiti-5290	708	13	1	1	NUM
aiti-5290	708	14	1(1	1(1	NUM
aiti-5290	708	15	)	)	PUNCT
aiti-5290	708	16	2	2	NUM
aiti-5290	708	17	2	2	NUM
aiti-5290	708	18	1	1	NUM
aiti-5290	708	19	1	1	NUM
aiti-5290	708	20	3	3	NUM
aiti-5290	708	21	3	3	NUM
aiti-5290	708	22	1	1	NUM
aiti-5290	708	23	1	1	NUM
aiti-5290	708	24	1	1	NUM
aiti-5290	708	25	0	0	NUM
aiti-5290	708	26	1	1	NUM
aiti-5290	708	27	0	0	NUM
aiti-5290	708	28	0	0	NUM
aiti-5290	708	29	1.1547	1.1547	NUM
aiti-5290	708	30	0	0	NUM
aiti-5290	708	31	1.1547	1.1547	NUM
aiti-5290	708	32	0.4219	0.4219	NUM
aiti-5290	708	33	0	0	NUM
aiti-5290	709	1	0.4219	0.4219	NUM
aiti-5290	709	2	0	0	NUM
aiti-5290	709	3	0	0	NUM
aiti-5290	709	4	0.4871	0.4871	NUM
aiti-5290	709	5	0	0	NUM
aiti-5290	709	6	0.4871	0.4871	NUM
aiti-5290	709	7	λ	λ	INTJ
aiti-5290	709	8	λ	λ	X
aiti-5290	709	9	λ	λ	X
aiti-5290	709	10	λ	λ	X
aiti-5290	709	11	λ	λ	X
aiti-5290	709	12	λ	λ	PROPN
aiti-5290	709	13			NOUN
aiti-5290	709	14			PROPN
aiti-5290	709	15			ADJ
aiti-5290	709	16			PROPN
aiti-5290	709	17			ADJ
aiti-5290	709	18	=	=	NOUN
aiti-5290	709	19			ADJ
aiti-5290	709	20	−	−	ADJ
aiti-5290	709	21			NOUN
aiti-5290	709	22			PROPN
aiti-5290	709	23	−	−	PROPN
aiti-5290	709	24			PROPN
aiti-5290	709	25	p	p	X
aiti-5290	709	26	(	(	PUNCT
aiti-5290	709	27	67	67	NUM
aiti-5290	709	28	)	)	PUNCT
aiti-5290	709	29	advances	advance	NOUN
aiti-5290	709	30	in	in	ADP
aiti-5290	709	31	technology	technology	NOUN
aiti-5290	709	32	innovation	innovation	NOUN
aiti-5290	709	33	,	,	PUNCT
aiti-5290	709	34	vol	vol	NOUN
aiti-5290	709	35	.	.	PROPN
aiti-5290	709	36	5	5	NUM
aiti-5290	709	37	,	,	PUNCT
aiti-5290	709	38	no	no	INTJ
aiti-5290	709	39	.	.	NOUN
aiti-5290	709	40	4	4	NUM
aiti-5290	709	41	,	,	PUNCT
aiti-5290	709	42	2020	2020	NUM
aiti-5290	709	43	,	,	PUNCT
aiti-5290	709	44	pp	pp	ADV
aiti-5290	709	45	.	.	PUNCT
aiti-5290	710	1	270	270	NUM
aiti-5290	710	2	-	-	SYM
aiti-5290	710	3	291	291	NUM
aiti-5290	711	1	280	280	NUM
aiti-5290	711	2	1	1	NUM
aiti-5290	711	3	1	1	NUM
aiti-5290	711	4	1	1	NUM
aiti-5290	711	5	1	1	NUM
aiti-5290	711	6	1	1	NUM
aiti-5290	711	7	1	1	NUM
aiti-5290	711	8	1	1	NUM
aiti-5290	711	9	1	1	NUM
aiti-5290	711	10	1	1	NUM
aiti-5290	711	11	1	1	NUM
aiti-5290	711	12	1	1	NUM
aiti-5290	711	13	1(1	1(1	NUM
aiti-5290	711	14	)	)	PUNCT
aiti-5290	711	15	2	2	NUM
aiti-5290	711	16	2	2	NUM
aiti-5290	711	17	2	2	NUM
aiti-5290	711	18	2	2	NUM
aiti-5290	711	19	1	1	NUM
aiti-5290	711	20	1	1	NUM
aiti-5290	711	21	1	1	NUM
aiti-5290	711	22	1	1	NUM
aiti-5290	711	23	1	1	NUM
aiti-5290	711	24	1	1	NUM
aiti-5290	711	25	1	1	NUM
aiti-5290	711	26	1	1	NUM
aiti-5290	711	27	3	3	NUM
aiti-5290	711	28	3	3	NUM
aiti-5290	711	29	3	3	NUM
aiti-5290	711	30	3	3	NUM
aiti-5290	711	31	1	1	NUM
aiti-5290	711	32	1	1	NUM
aiti-5290	711	33	1	1	NUM
aiti-5290	711	34	1	1	NUM
aiti-5290	711	35	1	1	NUM
aiti-5290	711	36	1	1	NUM
aiti-5290	711	37	1	1	NUM
aiti-5290	711	38	1	1	NUM
aiti-5290	711	39	cosh	cosh	NOUN
aiti-5290	711	40	(	(	PUNCT
aiti-5290	711	41	)	)	PUNCT
aiti-5290	711	42	sinh	sinh	PROPN
aiti-5290	711	43	(	(	PUNCT
aiti-5290	711	44	)	)	PUNCT
aiti-5290	711	45	cos	cos	PROPN
aiti-5290	711	46	(	(	PUNCT
aiti-5290	711	47	)	)	PUNCT
aiti-5290	711	48	sin	sin	NOUN
aiti-5290	711	49	(	(	PUNCT
aiti-5290	711	50	)	)	PUNCT
aiti-5290	711	51	sinh	sinh	PROPN
aiti-5290	711	52	(	(	PUNCT
aiti-5290	711	53	)	)	PUNCT
aiti-5290	711	54	cosh	cosh	PROPN
aiti-5290	711	55	(	(	PUNCT
aiti-5290	711	56	)	)	PUNCT
aiti-5290	711	57	sin	sin	NOUN
aiti-5290	711	58	(	(	PUNCT
aiti-5290	711	59	)	)	PUNCT
aiti-5290	711	60	cos	cos	PROPN
aiti-5290	711	61	(	(	PUNCT
aiti-5290	711	62	)	)	PUNCT
aiti-5290	711	63	cosh	cosh	PROPN
aiti-5290	711	64	(	(	PUNCT
aiti-5290	711	65	)	)	PUNCT
aiti-5290	711	66	sinh	sinh	PROPN
aiti-5290	711	67	(	(	PUNCT
aiti-5290	711	68	)	)	PUNCT
aiti-5290	711	69	cos	cos	PROPN
aiti-5290	711	70	(	(	PUNCT
aiti-5290	711	71	)	)	PUNCT
aiti-5290	711	72	sin	sin	NOUN
aiti-5290	711	73	(	(	PUNCT
aiti-5290	711	74	)	)	PUNCT
aiti-5290	711	75	sinh	sinh	PROPN
aiti-5290	711	76	(	(	PUNCT
aiti-5290	711	77	)	)	PUNCT
aiti-5290	711	78	cosh	cosh	PROPN
aiti-5290	711	79	(	(	PUNCT
aiti-5290	711	80	)	)	PUNCT
aiti-5290	711	81	sin	sin	NOUN
aiti-5290	711	82	(	(	PUNCT
aiti-5290	711	83	)	)	PUNCT
aiti-5290	711	84	cos	cos	PROPN
aiti-5290	711	85	(	(	PUNCT
aiti-5290	711	86	)	)	PUNCT
aiti-5290	711	87	ηλ	ηλ	ADP
aiti-5290	711	88	ηλ	ηλ	ADP
aiti-5290	711	89	ηλ	ηλ	VERB
aiti-5290	711	90	ηλ	ηλ	ADP
aiti-5290	711	91	λ	λ	INTJ
aiti-5290	711	92	ηλ	ηλ	VERB
aiti-5290	711	93	λ	λ	INTJ
aiti-5290	711	94	ηλ	ηλ	NOUN
aiti-5290	711	95	λ	λ	INTJ
aiti-5290	711	96	ηλ	ηλ	NOUN
aiti-5290	711	97	λ	λ	INTJ
aiti-5290	711	98	ηλ	ηλ	NOUN
aiti-5290	711	99	λ	λ	INTJ
aiti-5290	711	100	ηλ	ηλ	NOUN
aiti-5290	711	101	λ	λ	INTJ
aiti-5290	711	102	ηλ	ηλ	NOUN
aiti-5290	711	103	λ	λ	INTJ
aiti-5290	711	104	ηλ	ηλ	NOUN
aiti-5290	711	105	λ	λ	INTJ
aiti-5290	711	106	ηλ	ηλ	NOUN
aiti-5290	711	107	λ	λ	INTJ
aiti-5290	711	108	ηλ	ηλ	NOUN
aiti-5290	711	109	λ	λ	INTJ
aiti-5290	711	110	ηλ	ηλ	NOUN
aiti-5290	711	111	λ	λ	INTJ
aiti-5290	711	112	ηλ	ηλ	NOUN
aiti-5290	711	113	λ	λ	PROPN
aiti-5290	711	114	ηλ	ηλ	NOUN
aiti-5290	711	115			VERB
aiti-5290	711	116			NUM
aiti-5290	711	117			ADJ
aiti-5290	711	118	−	−	NOUN
aiti-5290	711	119	=	=	NOUN
aiti-5290	711	120			ADJ
aiti-5290	711	121	−	−	ADJ
aiti-5290	711	122	−	−	NOUN
aiti-5290	711	123			ADJ
aiti-5290	711	124			PROPN
aiti-5290	711	125	−	−	PROPN
aiti-5290	711	126			PROPN
aiti-5290	711	127	q	q	NOUN
aiti-5290	711	128	(	(	PUNCT
aiti-5290	711	129	68	68	NUM
aiti-5290	711	130	)	)	PUNCT
aiti-5290	711	131	k	k	NOUN
aiti-5290	711	132	0	0	NUM
aiti-5290	711	133	�	�	PROPN
aiti-5290	711	134	represents	represent	VERB
aiti-5290	711	135	the	the	DET
aiti-5290	711	136	moment	moment	NOUN
aiti-5290	711	137	of	of	ADP
aiti-5290	711	138	inertia	inertia	NOUN
aiti-5290	711	139	of	of	ADP
aiti-5290	711	140	the	the	DET
aiti-5290	711	141	2nd	2nd	ADJ
aiti-5290	711	142	section	section	NOUN
aiti-5290	711	143	to	to	ADP
aiti-5290	711	144	the	the	DET
aiti-5290	711	145	1st	1st	ADJ
aiti-5290	711	146	section	section	NOUN
aiti-5290	711	147	of	of	ADP
aiti-5290	711	148	the	the	DET
aiti-5290	711	149	beam	beam	NOUN
aiti-5290	711	150	.	.	PUNCT
aiti-5290	712	1	l	l	NOUN
aiti-5290	712	2	0	0	PROPN
aiti-5290	712	3	�	�	PROPN
aiti-5290	712	4	represents	represent	VERB
aiti-5290	712	5	the	the	DET
aiti-5290	712	6	displacement	displacement	NOUN
aiti-5290	712	7	,	,	PUNCT
aiti-5290	712	8	slope	slope	NOUN
aiti-5290	712	9	,	,	PUNCT
aiti-5290	712	10	bending	bend	VERB
aiti-5290	712	11	moment	moment	NOUN
aiti-5290	712	12	,	,	PUNCT
aiti-5290	712	13	and	and	CCONJ
aiti-5290	712	14	shear	shear	NOUN
aiti-5290	712	15	force	force	NOUN
aiti-5290	712	16	shape	shape	NOUN
aiti-5290	712	17	function	function	NOUN
aiti-5290	712	18	.	.	PUNCT
aiti-5290	713	1	the	the	DET
aiti-5290	713	2	transfer	transfer	NOUN
aiti-5290	713	3	matrix	matrix	NOUN
aiti-5290	713	4	is	be	AUX
aiti-5290	713	5	expressed	express	VERB
aiti-5290	713	6	as	as	ADP
aiti-5290	713	7	:	:	PUNCT
aiti-5290	713	8	1(1	1(1	NUM
aiti-5290	713	9	)	)	PUNCT
aiti-5290	713	10	(	(	PUNCT
aiti-5290	713	11	1	1	NUM
aiti-5290	713	12	)	)	PUNCT
aiti-5290	713	13	(	(	PUNCT
aiti-5290	713	14	1)−	1)−	PROPN
aiti-5290	713	15			NOUN
aiti-5290	713	16	=	=	SYM
aiti-5290	713	17			NUM
aiti-5290	713	18	t	t	PROPN
aiti-5290	713	19	p	p	ADJ
aiti-5290	713	20	q	q	PROPN
aiti-5290	713	21	(	(	PUNCT
aiti-5290	713	22	69	69	NUM
aiti-5290	713	23	)	)	PUNCT
aiti-5290	713	24	and	and	CCONJ
aiti-5290	713	25	also	also	ADV
aiti-5290	713	26	satisfies	satisfy	VERB
aiti-5290	713	27	the	the	DET
aiti-5290	713	28	following	follow	VERB
aiti-5290	713	29	condition	condition	NOUN
aiti-5290	713	30	,	,	PUNCT
aiti-5290	713	31	{	{	PUNCT
aiti-5290	713	32	}	}	PUNCT
aiti-5290	713	33	{	{	PUNCT
aiti-5290	713	34	}	}	PUNCT
aiti-5290	713	35	(	(	PUNCT
aiti-5290	713	36	1	1	NUM
aiti-5290	713	37	)	)	SYM
aiti-5290	713	38	2	2	NUM
aiti-5290	713	39	2	2	NUM
aiti-5290	713	40	2	2	NUM
aiti-5290	713	41	2	2	NUM
aiti-5290	713	42	1	1	NUM
aiti-5290	713	43	1	1	NUM
aiti-5290	713	44	1	1	NUM
aiti-5290	713	45	1	1	NUM
aiti-5290	713	46	t	t	NOUN
aiti-5290	713	47	t	t	NOUN
aiti-5290	713	48	a	a	DET
aiti-5290	713	49	b	b	NOUN
aiti-5290	713	50	c	c	NOUN
aiti-5290	713	51	d	d	NOUN
aiti-5290	713	52	a	a	DET
aiti-5290	713	53	b	b	X
aiti-5290	713	54	c	c	NOUN
aiti-5290	713	55	d=	d=	NOUN
aiti-5290	713	56	t	t	PROPN
aiti-5290	713	57	(	(	PUNCT
aiti-5290	713	58	70	70	NUM
aiti-5290	713	59	)	)	PUNCT
aiti-5290	713	60	from	from	ADP
aiti-5290	713	61	the	the	DET
aiti-5290	713	62	boundary	boundary	ADJ
aiti-5290	713	63	condition	condition	NOUN
aiti-5290	713	64	d	d	PROPN
aiti-5290	713	65	0	0	NUM
aiti-5290	713	66	�	�	PROPN
aiti-5290	713	67	�	�	PROPN
aiti-5290	713	68	�	�	PROPN
aiti-5290	713	69	0	0	NUM
aiti-5290	713	70	�	�	PROPN
aiti-5290	713	71	=	=	SYM
aiti-5290	713	72	d	d	PROPN
aiti-5290	713	73	0	0	NUM
aiti-5290	713	74	�	�	PROPN
aiti-5290	713	75	�	�	PROPN
aiti-5290	713	76	�	�	PROPN
aiti-5290	713	77	�	�	PROPN
aiti-5290	713	78	0	0	NUM
aiti-5290	713	79	�	�	PROPN
aiti-5290	713	80	,	,	PUNCT
aiti-5290	713	81	it	it	PRON
aiti-5290	713	82	can	can	AUX
aiti-5290	713	83	be	be	AUX
aiti-5290	713	84	obtained	obtain	VERB
aiti-5290	713	85	by	by	ADP
aiti-5290	713	86	:	:	PUNCT
aiti-5290	713	87	1	1	NUM
aiti-5290	713	88	1	1	NUM
aiti-5290	713	89	1	1	NUM
aiti-5290	713	90	1	1	NUM
aiti-5290	713	91	1	1	NUM
aiti-5290	713	92	0	0	NUM
aiti-5290	713	93	1	1	NUM
aiti-5290	713	94	0	0	NUM
aiti-5290	713	95	0	0	NUM
aiti-5290	713	96	0	0	NUM
aiti-5290	713	97	1	1	NUM
aiti-5290	713	98	0	0	NUM
aiti-5290	713	99	1	1	NUM
aiti-5290	713	100	0	0	NUM
aiti-5290	713	101	a	a	DET
aiti-5290	713	102	b	b	NOUN
aiti-5290	713	103	c	c	NOUN
aiti-5290	713	104	d	d	X
aiti-5290	713	105			PROPN
aiti-5290	713	106			PROPN
aiti-5290	713	107			PROPN
aiti-5290	713	108	−	−	NUM
aiti-5290	713	109			NUM
aiti-5290	713	110			PROPN
aiti-5290	713	111			NOUN
aiti-5290	713	112			NOUN
aiti-5290	714	1	=	=	NOUN
aiti-5290	714	2			ADP
aiti-5290	714	3			PROPN
aiti-5290	714	4			NOUN
aiti-5290	714	5			PROPN
aiti-5290	715	1	−	−	PROPN
aiti-5290	715	2			PROPN
aiti-5290	715	3			NOUN
aiti-5290	715	4			PROPN
aiti-5290	715	5			ADJ
aiti-5290	715	6			ADJ
aiti-5290	715	7			PUNCT
aiti-5290	715	8			NOUN
aiti-5290	715	9	(	(	PUNCT
aiti-5290	715	10	71	71	NUM
aiti-5290	715	11	)	)	PUNCT
aiti-5290	715	12	the	the	DET
aiti-5290	715	13	external	external	ADJ
aiti-5290	715	14	boundary	boundary	ADJ
aiti-5290	715	15	conditions	condition	NOUN
aiti-5290	715	16	are	be	AUX
aiti-5290	715	17	:	:	PUNCT
aiti-5290	715	18	cosh	cosh	PROPN
aiti-5290	715	19	sinh	sinh	PROPN
aiti-5290	715	20	cos	cos	PROPN
aiti-5290	715	21	sin	sin	PROPN
aiti-5290	715	22	sinh	sinh	PROPN
aiti-5290	715	23	cosh	cosh	PROPN
aiti-5290	715	24	sin	sin	PROPN
aiti-5290	715	25	cosl	cosl	PROPN
aiti-5290	715	26	s	s	PART
aiti-5290	715	27	s	s	X
aiti-5290	715	28	s	s	X
aiti-5290	715	29	s	s	X
aiti-5290	715	30	s	s	X
aiti-5290	715	31	s	s	X
aiti-5290	715	32	s	s	X
aiti-5290	715	33	s	s	NOUN
aiti-5290	715	34	−	−	NOUN
aiti-5290	715	35	−	−	NOUN
aiti-5290	715	36			NUM
aiti-5290	715	37	=	=	PUNCT
aiti-5290	715	38			PUNCT
aiti-5290	715	39	−	−	NOUN
aiti-5290	715	40			PROPN
aiti-5290	715	41	b	b	PROPN
aiti-5290	715	42	(	(	PUNCT
aiti-5290	715	43	72	72	NUM
aiti-5290	715	44	)	)	PUNCT
aiti-5290	715	45	where	where	SCONJ
aiti-5290	715	46	m	m	VERB
aiti-5290	715	47	=	=	VERB
aiti-5290	715	48	1.1547	1.1547	NUM
aiti-5290	715	49	1	1	NUM
aiti-5290	715	50	−	−	NUM
aiti-5290	715	51	5	5	NUM
aiti-5290	715	52	�	�	NOUN
aiti-5290	715	53	f0	f0	NOUN
aiti-5290	715	54	and	and	CCONJ
aiti-5290	715	55	{	{	PUNCT
aiti-5290	715	56	}	}	SYM
aiti-5290	715	57	2	2	NUM
aiti-5290	715	58	2	2	NUM
aiti-5290	715	59	2	2	NUM
aiti-5290	715	60	2	2	NUM
aiti-5290	715	61	0	0	NUM
aiti-5290	715	62	0	0	NUM
aiti-5290	715	63	t	t	NOUN
aiti-5290	715	64	l	l	NOUN
aiti-5290	716	1	a	a	DET
aiti-5290	716	2	b	b	NOUN
aiti-5290	716	3	c	c	NOUN
aiti-5290	716	4	d	d	NOUN
aiti-5290	716	5			NOUN
aiti-5290	716	6			NOUN
aiti-5290	716	7	=	=	PUNCT
aiti-5290	717	1			ADP
aiti-5290	717	2			PROPN
aiti-5290	717	3			ADJ
aiti-5290	717	4			NOUN
aiti-5290	717	5	b	b	PROPN
aiti-5290	717	6	(	(	PUNCT
aiti-5290	717	7	73	73	NUM
aiti-5290	717	8	)	)	PUNCT
aiti-5290	717	9	substituting	substitute	VERB
aiti-5290	717	10	eq	eq	ADP
aiti-5290	717	11	.	.	PUNCT
aiti-5290	718	1	(	(	PUNCT
aiti-5290	718	2	70	70	NUM
aiti-5290	718	3	)	)	PUNCT
aiti-5290	718	4	into	into	ADP
aiti-5290	718	5	eq	eq	NOUN
aiti-5290	718	6	.	.	PUNCT
aiti-5290	719	1	(	(	PUNCT
aiti-5290	719	2	73	73	NUM
aiti-5290	719	3	)	)	PUNCT
aiti-5290	719	4	,	,	PUNCT
aiti-5290	719	5	it	it	PRON
aiti-5290	719	6	yields	yield	VERB
aiti-5290	719	7	:	:	PUNCT
aiti-5290	719	8	{	{	PUNCT
aiti-5290	719	9	}	}	PUNCT
aiti-5290	719	10	{	{	PUNCT
aiti-5290	719	11	}	}	PUNCT
aiti-5290	719	12	(	(	PUNCT
aiti-5290	719	13	1	1	NUM
aiti-5290	719	14	)	)	SYM
aiti-5290	719	15	1	1	NUM
aiti-5290	719	16	1	1	NUM
aiti-5290	719	17	1	1	NUM
aiti-5290	719	18	1	1	NUM
aiti-5290	719	19	1	1	NUM
aiti-5290	719	20	1	1	NUM
aiti-5290	719	21	1	1	NUM
aiti-5290	719	22	1	1	NUM
aiti-5290	719	23	0	0	NUM
aiti-5290	719	24	0	0	NUM
aiti-5290	719	25	t	t	NOUN
aiti-5290	719	26	t	t	PROPN
aiti-5290	719	27	l	l	NOUN
aiti-5290	720	1	a	a	DET
aiti-5290	720	2	b	b	NOUN
aiti-5290	720	3	c	c	NOUN
aiti-5290	720	4	d	d	NOUN
aiti-5290	720	5	a	a	DET
aiti-5290	720	6	b	b	NOUN
aiti-5290	720	7	c	c	NOUN
aiti-5290	720	8	d	d	NOUN
aiti-5290	720	9			NOUN
aiti-5290	720	10			NOUN
aiti-5290	720	11	=	=	PUNCT
aiti-5290	721	1	=	=	PUNCT
aiti-5290	721	2			ADP
aiti-5290	721	3			PROPN
aiti-5290	721	4			ADJ
aiti-5290	721	5			NOUN
aiti-5290	721	6	h	h	PROPN
aiti-5290	721	7	b	b	PROPN
aiti-5290	721	8	t	t	PROPN
aiti-5290	721	9	(	(	PUNCT
aiti-5290	721	10	74	74	NUM
aiti-5290	721	11	)	)	PUNCT
aiti-5290	721	12	where	where	SCONJ
aiti-5290	721	13	o	o	NOUN
aiti-5290	722	1	=	=	SYM
aiti-5290	722	2	pq	pq	PROPN
aiti-5290	722	3	̅r	̅r	NOUN
aiti-5290	722	4	0	0	NUM
aiti-5290	722	5	�	�	PROPN
aiti-5290	722	6	11	11	NUM
aiti-5290	722	7	12	12	NUM
aiti-5290	722	8	13	13	NUM
aiti-5290	722	9	14	14	NUM
aiti-5290	722	10	21	21	NUM
aiti-5290	722	11	22	22	NUM
aiti-5290	722	12	23	23	NUM
aiti-5290	722	13	24	24	NUM
aiti-5290	722	14	h	h	NOUN
aiti-5290	722	15	h	h	NOUN
aiti-5290	723	1	h	h	NOUN
aiti-5290	724	1	h	h	NOUN
aiti-5290	725	1	h	h	NOUN
aiti-5290	726	1	h	h	NOUN
aiti-5290	727	1	h	h	PROPN
aiti-5290	727	2	h	h	PROPN
aiti-5290	727	3			VERB
aiti-5290	727	4			PROPN
aiti-5290	727	5	=	=	SYM
aiti-5290	727	6			ADJ
aiti-5290	727	7			PROPN
aiti-5290	727	8			NOUN
aiti-5290	727	9			NOUN
aiti-5290	727	10	h	h	NOUN
aiti-5290	727	11	(	(	PUNCT
aiti-5290	727	12	75	75	NUM
aiti-5290	727	13	)	)	PUNCT
aiti-5290	727	14	and	and	CCONJ
aiti-5290	727	15	is	be	AUX
aiti-5290	727	16	the	the	DET
aiti-5290	727	17	total	total	ADJ
aiti-5290	727	18	transfer	transfer	NOUN
aiti-5290	727	19	matrix	matrix	NOUN
aiti-5290	727	20	.	.	PUNCT
aiti-5290	728	1	eqs	eqs	PROPN
aiti-5290	728	2	.	.	PUNCT
aiti-5290	729	1	(	(	PUNCT
aiti-5290	729	2	71	71	NUM
aiti-5290	729	3	)	)	PUNCT
aiti-5290	729	4	and	and	CCONJ
aiti-5290	729	5	(	(	PUNCT
aiti-5290	729	6	74	74	X
aiti-5290	729	7	)	)	PUNCT
aiti-5290	729	8	can	can	AUX
aiti-5290	729	9	be	be	AUX
aiti-5290	729	10	solved	solve	VERB
aiti-5290	729	11	simultaneously	simultaneously	ADV
aiti-5290	729	12	,	,	PUNCT
aiti-5290	729	13	1	1	NUM
aiti-5290	729	14	1	1	NUM
aiti-5290	729	15	11	11	NUM
aiti-5290	729	16	12	12	NUM
aiti-5290	729	17	13	13	NUM
aiti-5290	729	18	14	14	NUM
aiti-5290	729	19	1	1	NUM
aiti-5290	729	20	21	21	NUM
aiti-5290	729	21	22	22	NUM
aiti-5290	729	22	23	23	NUM
aiti-5290	729	23	24	24	NUM
aiti-5290	729	24	1	1	NUM
aiti-5290	729	25	1	1	NUM
aiti-5290	729	26	0	0	NUM
aiti-5290	729	27	1	1	NUM
aiti-5290	729	28	0	0	NUM
aiti-5290	729	29	0	0	NUM
aiti-5290	729	30	0	0	NUM
aiti-5290	729	31	1	1	NUM
aiti-5290	729	32	0	0	NUM
aiti-5290	729	33	1	1	NUM
aiti-5290	729	34	0	0	NUM
aiti-5290	729	35	0	0	NUM
aiti-5290	729	36	0	0	NUM
aiti-5290	730	1	a	a	DET
aiti-5290	730	2	b	b	NOUN
aiti-5290	730	3	h	h	NOUN
aiti-5290	730	4	h	h	NOUN
aiti-5290	730	5	h	h	NOUN
aiti-5290	730	6	h	h	NOUN
aiti-5290	731	1	c	c	NOUN
aiti-5290	731	2	h	h	NOUN
aiti-5290	732	1	h	h	NOUN
aiti-5290	732	2	h	h	NOUN
aiti-5290	732	3	h	h	NOUN
aiti-5290	733	1	d	d	NOUN
aiti-5290	733	2	−	−	NOUN
aiti-5290	733	3			NUM
aiti-5290	733	4			NOUN
aiti-5290	733	5			NOUN
aiti-5290	733	6			PROPN
aiti-5290	733	7			PROPN
aiti-5290	733	8			ADJ
aiti-5290	733	9			PROPN
aiti-5290	733	10			PROPN
aiti-5290	733	11			PROPN
aiti-5290	733	12			PROPN
aiti-5290	733	13	−	−	PROPN
aiti-5290	733	14			PROPN
aiti-5290	733	15			PROPN
aiti-5290	733	16			PROPN
aiti-5290	734	1			PROPN
aiti-5290	734	2			PROPN
aiti-5290	734	3	=	=	PROPN
aiti-5290	734	4			ADP
aiti-5290	734	5			PROPN
aiti-5290	734	6			NOUN
aiti-5290	734	7			NOUN
aiti-5290	734	8			PROPN
aiti-5290	734	9			PROPN
aiti-5290	734	10			PROPN
aiti-5290	734	11			PROPN
aiti-5290	735	1			PROPN
aiti-5290	735	2			PROPN
aiti-5290	735	3			X
aiti-5290	735	4			VERB
aiti-5290	735	5			ADJ
aiti-5290	735	6			NOUN
aiti-5290	735	7			PROPN
aiti-5290	735	8			X
aiti-5290	735	9			PROPN
aiti-5290	735	10	(	(	PUNCT
aiti-5290	735	11	76	76	NUM
aiti-5290	735	12	)	)	PUNCT
aiti-5290	735	13	the	the	DET
aiti-5290	735	14	characteristic	characteristic	ADJ
aiti-5290	735	15	equation	equation	NOUN
aiti-5290	735	16	for	for	ADP
aiti-5290	735	17	the	the	DET
aiti-5290	735	18	eigen	eigen	PROPN
aiti-5290	735	19	values	value	NOUN
aiti-5290	735	20	is	be	AUX
aiti-5290	735	21	:	:	PUNCT
aiti-5290	735	22	advances	advance	NOUN
aiti-5290	735	23	in	in	ADP
aiti-5290	735	24	technology	technology	NOUN
aiti-5290	735	25	innovation	innovation	NOUN
aiti-5290	735	26	,	,	PUNCT
aiti-5290	735	27	vol	vol	NOUN
aiti-5290	735	28	.	.	PROPN
aiti-5290	736	1	5	5	NUM
aiti-5290	736	2	,	,	PUNCT
aiti-5290	736	3	no	no	INTJ
aiti-5290	736	4	.	.	NOUN
aiti-5290	736	5	4	4	NUM
aiti-5290	736	6	,	,	PUNCT
aiti-5290	736	7	2020	2020	NUM
aiti-5290	736	8	,	,	PUNCT
aiti-5290	736	9	pp	pp	ADV
aiti-5290	736	10	.	.	PUNCT
aiti-5290	737	1	270	270	NUM
aiti-5290	737	2	-	-	SYM
aiti-5290	737	3	291	291	NUM
aiti-5290	737	4	281	281	NUM
aiti-5290	737	5	11	11	NUM
aiti-5290	737	6	12	12	NUM
aiti-5290	737	7	13	13	NUM
aiti-5290	737	8	14	14	NUM
aiti-5290	737	9	21	21	NUM
aiti-5290	737	10	22	22	NUM
aiti-5290	737	11	23	23	NUM
aiti-5290	737	12	24	24	NUM
aiti-5290	737	13	1	1	NUM
aiti-5290	737	14	0	0	NUM
aiti-5290	737	15	1	1	NUM
aiti-5290	737	16	0	0	NUM
aiti-5290	737	17	0	0	NUM
aiti-5290	737	18	1	1	NUM
aiti-5290	737	19	0	0	NUM
aiti-5290	737	20	1	1	NUM
aiti-5290	737	21	det	det	PROPN
aiti-5290	737	22	(	(	PUNCT
aiti-5290	737	23	)	)	PUNCT
aiti-5290	737	24	0	0	NUM
aiti-5290	738	1	h	h	NOUN
aiti-5290	738	2	h	h	NOUN
aiti-5290	738	3	h	h	NOUN
aiti-5290	738	4	h	h	NOUN
aiti-5290	739	1	h	h	NOUN
aiti-5290	739	2	h	h	NOUN
aiti-5290	739	3	h	h	NOUN
aiti-5290	739	4	h	h	NOUN
aiti-5290	740	1	−	−	NOUN
aiti-5290	740	2			NUM
aiti-5290	740	3			ADJ
aiti-5290	740	4	−	−	NOUN
aiti-5290	740	5			PROPN
aiti-5290	740	6	=	=	PUNCT
aiti-5290	741	1			ADJ
aiti-5290	741	2			PROPN
aiti-5290	741	3			ADJ
aiti-5290	741	4			PROPN
aiti-5290	741	5			X
aiti-5290	742	1			PROPN
aiti-5290	742	2	(	(	PUNCT
aiti-5290	742	3	77	77	NUM
aiti-5290	742	4	)	)	PUNCT
aiti-5290	742	5	let	let	VERB
aiti-5290	742	6	00	00	NUM
aiti-5290	742	7	1	1	NUM
aiti-5290	742	8	(	(	PUNCT
aiti-5290	742	9	,	,	PUNCT
aiti-5290	742	10	)	)	PUNCT
aiti-5290	742	11	(	(	PUNCT
aiti-5290	742	12	)	)	PUNCT
aiti-5290	742	13	(	(	PUNCT
aiti-5290	742	14	)	)	PUNCT
aiti-5290	742	15	y	y	PROPN
aiti-5290	742	16	n	n	CCONJ
aiti-5290	742	17	n	n	CCONJ
aiti-5290	742	18	n	n	CCONJ
aiti-5290	742	19	y	y	PROPN
aiti-5290	742	20	x	x	SYM
aiti-5290	743	1	t	t	PROPN
aiti-5290	743	2	t	t	PROPN
aiti-5290	743	3	xξ	xξ	PROPN
aiti-5290	743	4	ϕ	ϕ	PROPN
aiti-5290	743	5	∞	∞	PROPN
aiti-5290	743	6	=	=	PUNCT
aiti-5290	744	1	=	=	NOUN
aiti-5290	744	2	∑	∑	PROPN
aiti-5290	744	3	(	(	PUNCT
aiti-5290	744	4	78	78	NUM
aiti-5290	744	5	)	)	PUNCT
aiti-5290	744	6	11	11	NUM
aiti-5290	744	7	1	1	NUM
aiti-5290	744	8	(	(	PUNCT
aiti-5290	744	9	,	,	PUNCT
aiti-5290	744	10	)	)	PUNCT
aiti-5290	744	11	(	(	PUNCT
aiti-5290	744	12	)	)	PUNCT
aiti-5290	744	13	(	(	PUNCT
aiti-5290	744	14	)	)	PUNCT
aiti-5290	744	15	y	y	PROPN
aiti-5290	744	16	n	n	CCONJ
aiti-5290	744	17	n	n	CCONJ
aiti-5290	744	18	n	n	CCONJ
aiti-5290	744	19	y	y	PROPN
aiti-5290	744	20	x	x	SYM
aiti-5290	744	21	t	t	PROPN
aiti-5290	744	22	t	t	PROPN
aiti-5290	744	23	xξ	xξ	PROPN
aiti-5290	744	24	ϕ	ϕ	PROPN
aiti-5290	744	25	∞	∞	PROPN
aiti-5290	744	26	=	=	PUNCT
aiti-5290	745	1	=	=	NOUN
aiti-5290	745	2	∑	∑	PROPN
aiti-5290	745	3	(	(	PUNCT
aiti-5290	745	4	79	79	NUM
aiti-5290	745	5	)	)	PUNCT
aiti-5290	745	6	substituting	substitute	VERB
aiti-5290	745	7	into	into	ADP
aiti-5290	745	8	eqs	eqs	PROPN
aiti-5290	745	9	.	.	PUNCT
aiti-5290	746	1	(	(	PUNCT
aiti-5290	746	2	78	78	NUM
aiti-5290	746	3	)	)	PUNCT
aiti-5290	746	4	and	and	CCONJ
aiti-5290	746	5	(	(	PUNCT
aiti-5290	746	6	79	79	NUM
aiti-5290	746	7	)	)	PUNCT
aiti-5290	746	8	into	into	ADP
aiti-5290	746	9	eqs	eqs	PROPN
aiti-5290	746	10	.	.	PUNCT
aiti-5290	747	1	(	(	PUNCT
aiti-5290	747	2	48	48	NUM
aiti-5290	747	3	)	)	PUNCT
aiti-5290	747	4	and	and	CCONJ
aiti-5290	747	5	(	(	PUNCT
aiti-5290	747	6	49	49	NUM
aiti-5290	747	7	)	)	PUNCT
aiti-5290	747	8	and	and	CCONJ
aiti-5290	747	9	using	use	VERB
aiti-5290	747	10	orthogonal	orthogonal	ADJ
aiti-5290	747	11	properties	property	NOUN
aiti-5290	747	12	,	,	PUNCT
aiti-5290	747	13	the	the	DET
aiti-5290	747	14	following	follow	VERB
aiti-5290	747	15	dynamic	dynamic	ADJ
aiti-5290	747	16	equations	equation	NOUN
aiti-5290	747	17	can	can	AUX
aiti-5290	747	18	be	be	AUX
aiti-5290	747	19	obtained	obtain	VERB
aiti-5290	747	20	,	,	PUNCT
aiti-5290	747	21	=	=	PROPN
aiti-5290	747	22	80	80	NUM
aiti-5290	747	23	�	�	NOUN
aiti-5290	747	24	:	:	PUNCT
aiti-5290	747	25	0	0	NUM
aiti-5290	747	26	0	0	NUM
aiti-5290	747	27	2	2	NUM
aiti-5290	747	28	4	4	NUM
aiti-5290	747	29	0	0	NUM
aiti-5290	747	30	1	1	NUM
aiti-5290	747	31	0y	0y	NUM
aiti-5290	747	32	m	m	NOUN
aiti-5290	747	33	m	m	VERB
aiti-5290	748	1	y	y	PROPN
aiti-5290	748	2	md	md	PROPN
aiti-5290	748	3	ξ	ξ	PROPN
aiti-5290	748	4	λ	λ	PROPN
aiti-5290	748	5	ξ+	ξ+	PRON
aiti-5290	748	6	=	=	SYM
aiti-5290	748	7	(	(	PUNCT
aiti-5290	748	8	80	80	NUM
aiti-5290	748	9	)	)	PUNCT
aiti-5290	748	10	=	=	SYM
aiti-5290	748	11	8	8	NUM
aiti-5290	748	12	;	;	PUNCT
aiti-5290	748	13	�	�	PROPN
aiti-5290	748	14	:	:	PUNCT
aiti-5290	748	15	1	1	NUM
aiti-5290	748	16	1	1	NUM
aiti-5290	748	17	0	0	NUM
aiti-5290	748	18	0	0	NUM
aiti-5290	748	19	0	0	NUM
aiti-5290	748	20	0	0	NUM
aiti-5290	748	21	0	0	NUM
aiti-5290	748	22	0	0	NUM
aiti-5290	748	23	0	0	NUM
aiti-5290	748	24	0	0	NUM
aiti-5290	748	25	2	2	NUM
aiti-5290	748	26	4	4	NUM
aiti-5290	748	27	0	0	NUM
aiti-5290	748	28	1	1	NUM
aiti-5290	748	29	0	0	NUM
aiti-5290	748	30	1	1	NUM
aiti-5290	748	31	1	1	NUM
aiti-5290	748	32	0	0	NUM
aiti-5290	748	33	1	1	NUM
aiti-5290	748	34	1	1	NUM
aiti-5290	748	35	1	1	NUM
aiti-5290	748	36	1	1	NUM
aiti-5290	748	37	0	0	NUM
aiti-5290	748	38	0	0	NUM
aiti-5290	748	39	0	0	NUM
aiti-5290	748	40	0	0	NUM
aiti-5290	748	41	,	,	PUNCT
aiti-5290	748	42	,	,	PUNCT
aiti-5290	748	43	1	1	NUM
aiti-5290	748	44	1	1	NUM
aiti-5290	748	45	0	0	NUM
aiti-5290	748	46	ˆ2	ˆ2	NOUN
aiti-5290	748	47	(	(	PUNCT
aiti-5290	748	48	)	)	PUNCT
aiti-5290	748	49	(	(	PUNCT
aiti-5290	748	50	3	3	X
aiti-5290	748	51	)	)	PUNCT
aiti-5290	748	52	(	(	PUNCT
aiti-5290	748	53	3	3	NUM
aiti-5290	748	54	y	y	NOUN
aiti-5290	748	55	m	m	VERB
aiti-5290	748	56	m	m	VERB
aiti-5290	748	57	y	y	NOUN
aiti-5290	748	58	m	m	VERB
aiti-5290	748	59	y	y	NOUN
aiti-5290	748	60	m	m	VERB
aiti-5290	748	61	y	y	NOUN
aiti-5290	748	62	d	d	X
aiti-5290	748	63	u	u	X
aiti-5290	748	64	y	y	PROPN
aiti-5290	748	65	m	m	VERB
aiti-5290	748	66	iv	iv	ADP
aiti-5290	748	67	m	m	VERB
aiti-5290	748	68	y	y	INTJ
aiti-5290	748	69	i	i	PRON
aiti-5290	748	70	y	y	PROPN
aiti-5290	748	71	j	j	PROPN
aiti-5290	748	72	y	y	PROPN
aiti-5290	748	73	k	k	PROPN
aiti-5290	748	74	m	m	VERB
aiti-5290	748	75	i	i	PRON
aiti-5290	748	76	j	j	PROPN
aiti-5290	749	1	k	k	NOUN
aiti-5290	749	2	m	m	VERB
aiti-5290	749	3	i	i	PRON
aiti-5290	749	4	j	j	PROPN
aiti-5290	750	1	k	k	NOUN
aiti-5290	750	2	m	m	VERB
aiti-5290	750	3	i	i	PRON
aiti-5290	750	4	j	j	PROPN
aiti-5290	751	1	k	k	NOUN
aiti-5290	751	2	m	m	VERB
aiti-5290	752	1	i	i	PRON
aiti-5290	752	2	j	j	PROPN
aiti-5290	753	1	k	k	INTJ
aiti-5290	753	2	i	i	PRON
aiti-5290	753	3	j	j	PROPN
aiti-5290	754	1	k	k	NOUN
aiti-5290	754	2	m	m	VERB
aiti-5290	754	3	y	y	VERB
aiti-5290	754	4	i	i	PRON
aiti-5290	754	5	z	z	PROPN
aiti-5290	755	1	j	j	PROPN
aiti-5290	756	1	z	z	PROPN
aiti-5290	756	2	k	k	PROPN
aiti-5290	756	3	m	m	VERB
aiti-5290	756	4	i	i	PRON
aiti-5290	756	5	j	j	PROPN
aiti-5290	757	1	k	k	NOUN
aiti-5290	757	2	m	m	VERB
aiti-5290	757	3	i	i	INTJ
aiti-5290	757	4	j	j	PROPN
aiti-5290	758	1	d	d	PROPN
aiti-5290	758	2	d	d	PROPN
aiti-5290	758	3	d	d	X
aiti-5290	758	4	c	c	PROPN
aiti-5290	758	5	a	a	PRON
aiti-5290	758	6	d	d	NOUN
aiti-5290	758	7	g	g	PROPN
aiti-5290	758	8	dx	dx	PROPN
aiti-5290	758	9	dx	dx	PROPN
aiti-5290	758	10	dx	dx	PROPN
aiti-5290	758	11	dx	dx	PROPN
aiti-5290	758	12	g	g	PROPN
aiti-5290	758	13	dx	dx	PROPN
aiti-5290	758	14	ξ	ξ	PROPN
aiti-5290	758	15	λ	λ	X
aiti-5290	758	16	ξ	ξ	X
aiti-5290	758	17	ξ	ξ	X
aiti-5290	758	18	ξ	ξ	X
aiti-5290	758	19	ξ	ξ	PROPN
aiti-5290	758	20	ξ	ξ	X
aiti-5290	758	21	ξ	ξ	X
aiti-5290	758	22	ϕ	ϕ	X
aiti-5290	758	23	ϕ	ϕ	X
aiti-5290	758	24	ϕ	ϕ	X
aiti-5290	758	25	ϕ	ϕ	X
aiti-5290	758	26	ϕ	ϕ	X
aiti-5290	758	27	ϕ	ϕ	X
aiti-5290	758	28	ϕ	ϕ	X
aiti-5290	758	29	ϕ	ϕ	X
aiti-5290	758	30	ϕ	ϕ	X
aiti-5290	758	31	ϕ	ϕ	X
aiti-5290	758	32	ϕ	ϕ	X
aiti-5290	758	33	ϕ	ϕ	X
aiti-5290	758	34	ϕ	ϕ	X
aiti-5290	758	35	ϕ	ϕ	X
aiti-5290	758	36	ϕ	ϕ	X
aiti-5290	758	37	ϕ	ϕ	X
aiti-5290	758	38	ξ	ξ	PROPN
aiti-5290	758	39	ξ	ξ	X
aiti-5290	758	40	ξ	ξ	X
aiti-5290	758	41	ϕ	ϕ	X
aiti-5290	758	42	ϕ	ϕ	X
aiti-5290	758	43	ϕ	ϕ	X
aiti-5290	758	44	ϕ	ϕ	X
aiti-5290	758	45	ϕ	ϕ	X
aiti-5290	758	46	ϕ	ϕ	X
aiti-5290	758	47	ϕ	ϕ	X
aiti-5290	758	48	ϕ	ϕ	X
aiti-5290	758	49	∞	∞	PROPN
aiti-5290	758	50	=	=	PUNCT
aiti-5290	759	1	+	+	NUM
aiti-5290	759	2	=	=	SYM
aiti-5290	759	3	−	−	NOUN
aiti-5290	759	4	−	−	NOUN
aiti-5290	759	5	−	−	PROPN
aiti-5290	760	1	′′	′′	PROPN
aiti-5290	760	2	′′	′′	PROPN
aiti-5290	760	3	′′	′′	PROPN
aiti-5290	760	4	′	′	NOUN
aiti-5290	761	1	′′	′′	PROPN
aiti-5290	761	2	′′′	′′′	VERB
aiti-5290	761	3	′′	′′	PROPN
aiti-5290	761	4	′	′	NUM
aiti-5290	762	1	′′′	′′′	INTJ
aiti-5290	763	1	′	′	NUM
aiti-5290	763	2	′−	′−	PROPN
aiti-5290	764	1	+	+	PUNCT
aiti-5290	765	1	+	+	PUNCT
aiti-5290	765	2	+	+	CCONJ
aiti-5290	765	3	′′	′′	PROPN
aiti-5290	765	4	′′	′′	PROPN
aiti-5290	765	5	′′	′′	PROPN
aiti-5290	765	6	′	′	NOUN
aiti-5290	766	1	′′	′′	PROPN
aiti-5290	766	2	′′′−	′′′−	NOUN
aiti-5290	767	1	+	+	CCONJ
aiti-5290	767	2	∑	∑	PROPN
aiti-5290	767	3	∫	∫	PROPN
aiti-5290	767	4	∫	∫	PROPN
aiti-5290	767	5	∫	∫	PROPN
aiti-5290	767	6	∫	∫	PROPN
aiti-5290	767	7	∫	∫	PROPN
aiti-5290	767	8	ɶ	ɶ	PROPN
aiti-5290	767	9	ɶ	ɶ	PROPN
aiti-5290	767	10	0	0	NUM
aiti-5290	767	11	0	0	NUM
aiti-5290	767	12	0	0	NUM
aiti-5290	767	13	0	0	NUM
aiti-5290	767	14	0	0	NUM
aiti-5290	767	15	0	0	NUM
aiti-5290	767	16	0	0	NUM
aiti-5290	767	17	0	0	NUM
aiti-5290	767	18	0	0	NUM
aiti-5290	767	19	0	0	NUM
aiti-5290	767	20	0	0	NUM
aiti-5290	767	21	0	0	NUM
aiti-5290	767	22	0	0	NUM
aiti-5290	767	23	1	1	NUM
aiti-5290	767	24	1	1	NUM
aiti-5290	767	25	1	1	NUM
aiti-5290	767	26	1	1	NUM
aiti-5290	767	27	1	1	NUM
aiti-5290	767	28	0	0	NUM
aiti-5290	767	29	0	0	NUM
aiti-5290	767	30	0	0	NUM
aiti-5290	767	31	,	,	PUNCT
aiti-5290	767	32	,	,	PUNCT
aiti-5290	767	33	1	1	NUM
aiti-5290	767	34	,	,	PUNCT
aiti-5290	767	35	,	,	PUNCT
aiti-5290	767	36	1	1	X
aiti-5290	767	37	)	)	SYM
aiti-5290	767	38	1	1	NUM
aiti-5290	767	39	(	(	PUNCT
aiti-5290	767	40	2	2	NUM
aiti-5290	767	41	2	2	NUM
aiti-5290	767	42	)	)	PUNCT
aiti-5290	767	43	2	2	NUM
aiti-5290	767	44	(	(	PUNCT
aiti-5290	767	45	i	i	PRON
aiti-5290	767	46	i	i	PRON
aiti-5290	768	1	i	i	PRON
aiti-5290	768	2	i	i	PRON
aiti-5290	769	1	i	i	PRON
aiti-5290	770	1	i	i	PRON
aiti-5290	771	1	i	i	VERB
aiti-5290	771	2	iv	iv	VERB
aiti-5290	772	1	k	k	NOUN
aiti-5290	772	2	m	m	VERB
aiti-5290	772	3	i	i	PRON
aiti-5290	772	4	j	j	PROPN
aiti-5290	773	1	k	k	NOUN
aiti-5290	773	2	m	m	VERB
aiti-5290	774	1	i	i	PRON
aiti-5290	774	2	j	j	PROPN
aiti-5290	775	1	k	k	INTJ
aiti-5290	775	2	i	i	PRON
aiti-5290	775	3	j	j	PROPN
aiti-5290	776	1	k	k	NOUN
aiti-5290	776	2	m	m	VERB
aiti-5290	776	3	y	y	VERB
aiti-5290	777	1	i	i	PRON
aiti-5290	777	2	y	y	PROPN
aiti-5290	777	3	j	j	PROPN
aiti-5290	778	1	y	y	PROPN
aiti-5290	778	2	k	k	PROPN
aiti-5290	779	1	y	y	PROPN
aiti-5290	779	2	j	j	PROPN
aiti-5290	780	1	y	y	PROPN
aiti-5290	780	2	k	k	PROPN
aiti-5290	780	3	y	y	PROPN
aiti-5290	780	4	j	j	PROPN
aiti-5290	781	1	y	y	PROPN
aiti-5290	781	2	k	k	PROPN
aiti-5290	782	1	z	z	PROPN
aiti-5290	782	2	j	j	PROPN
aiti-5290	783	1	z	z	PROPN
aiti-5290	783	2	k	k	PROPN
aiti-5290	784	1	z	z	PROPN
aiti-5290	784	2	j	j	PROPN
aiti-5290	785	1	z	z	PROPN
aiti-5290	785	2	k	k	PROPN
aiti-5290	786	1	z	z	PROPN
aiti-5290	786	2	j	j	PROPN
aiti-5290	787	1	z	z	PROPN
aiti-5290	787	2	k	k	PROPN
aiti-5290	788	1	i	i	PRON
aiti-5290	788	2	j	j	PROPN
aiti-5290	789	1	k	k	NOUN
aiti-5290	789	2	x	x	PUNCT
aiti-5290	790	1	x	x	PUNCT
aiti-5290	790	2	x	x	PUNCT
aiti-5290	790	3	x	x	VERB
aiti-5290	790	4	m	m	VERB
aiti-5290	790	5	i	i	PRON
aiti-5290	790	6	j	j	PROPN
aiti-5290	791	1	k	k	INTJ
aiti-5290	791	2	i	i	PRON
aiti-5290	792	1	i	i	PRON
aiti-5290	793	1	i	i	PRON
aiti-5290	793	2	j	j	VERB
aiti-5290	794	1	k	k	INTJ
aiti-5290	794	2	i	i	PRON
aiti-5290	795	1	i	i	VERB
aiti-5290	795	2	l	l	VERB
aiti-5290	795	3	l	l	X
aiti-5290	796	1	l	l	X
aiti-5290	796	2	l	l	NOUN
aiti-5290	796	3	dx	dx	PROPN
aiti-5290	797	1	dx	dx	PROPN
aiti-5290	797	2	dx	dx	PROPN
aiti-5290	797	3	g	g	PROPN
aiti-5290	797	4	dx	dx	PROPN
aiti-5290	797	5	dx	dx	PROPN
aiti-5290	797	6	dx	dx	PROPN
aiti-5290	798	1	dx	dx	PROPN
aiti-5290	798	2	ϕ	ϕ	PROPN
aiti-5290	798	3	ϕ	ϕ	PROPN
aiti-5290	798	4	ϕ	ϕ	X
aiti-5290	798	5	ϕ	ϕ	X
aiti-5290	798	6	ϕ	ϕ	X
aiti-5290	798	7	ϕ	ϕ	X
aiti-5290	798	8	ϕ	ϕ	X
aiti-5290	798	9	ϕ	ϕ	X
aiti-5290	798	10	ξ	ξ	PROPN
aiti-5290	798	11	ξ	ξ	X
aiti-5290	798	12	ξ	ξ	PROPN
aiti-5290	798	13	ξ	ξ	X
aiti-5290	798	14	ξ	ξ	X
aiti-5290	798	15	ξ	ξ	X
aiti-5290	798	16	ξ	ξ	X
aiti-5290	798	17	ξ	ξ	X
aiti-5290	798	18	ξ	ξ	X
aiti-5290	798	19	ξ	ξ	PROPN
aiti-5290	798	20	ξ	ξ	PROPN
aiti-5290	798	21	ξ	ξ	X
aiti-5290	798	22	ξ	ξ	X
aiti-5290	798	23	ϕ	ϕ	X
aiti-5290	798	24	ϕ	ϕ	X
aiti-5290	798	25	ϕ	ϕ	X
aiti-5290	798	26	ϕ	ϕ	X
aiti-5290	798	27	ϕ	ϕ	X
aiti-5290	798	28	ϕ	ϕ	X
aiti-5290	798	29	ϕ	ϕ	NOUN
aiti-5290	798	30	−	−	PROPN
aiti-5290	798	31	−	−	NOUN
aiti-5290	798	32	∞	∞	NUM
aiti-5290	798	33	=	=	SYM
aiti-5290	798	34	∞	∞	NUM
aiti-5290	798	35	=	=	PUNCT
aiti-5290	798	36	′′	′′	PROPN
aiti-5290	798	37	′	′	NUM
aiti-5290	798	38	′′′	′′′	VERB
aiti-5290	799	1	′	′	NUM
aiti-5290	799	2	′+	′+	PUNCT
aiti-5290	800	1	+	+	CCONJ
aiti-5290	800	2	−	−	X
aiti-5290	801	1	+	+	CCONJ
aiti-5290	801	2	+	+	PUNCT
aiti-5290	801	3	+	+	PUNCT
aiti-5290	801	4	+	+	CCONJ
aiti-5290	801	5	+	+	CCONJ
aiti-5290	801	6	′′	′′	NOUN
aiti-5290	801	7	′	′	NOUN
aiti-5290	802	1	′	′	NUM
aiti-5290	803	1	′	′	NUM
aiti-5290	804	1	′	′	NUM
aiti-5290	805	1	′⋅	′⋅	PROPN
aiti-5290	806	1	+	+	CCONJ
aiti-5290	806	2	∑	∑	PROPN
aiti-5290	806	3	∫	∫	PROPN
aiti-5290	806	4	∫	∫	PROPN
aiti-5290	806	5	∫	∫	PROPN
aiti-5290	806	6	∑	∑	PROPN
aiti-5290	806	7	∫	∫	PROPN
aiti-5290	807	1	∫	∫	PROPN
aiti-5290	807	2	∫	∫	PROPN
aiti-5290	807	3	ɶ	ɶ	PROPN
aiti-5290	808	1	ɺɺ	ɺɺ	PROPN
aiti-5290	808	2	ɺ	ɺ	PROPN
aiti-5290	808	3	ɺ	ɺ	INTJ
aiti-5290	809	1	ɺɺ	ɺɺ	INTJ
aiti-5290	810	1	ɺɺ	ɺɺ	PROPN
aiti-5290	810	2	ɺ	ɺ	INTJ
aiti-5290	811	1	ɺ	ɺ	INTJ
aiti-5290	811	2	ɺɺ	ɺɺ	PROPN
aiti-5290	811	3	21	21	NUM
aiti-5290	811	4	1	1	NUM
aiti-5290	811	5	00	00	NUM
aiti-5290	811	6	0	0	NUM
aiti-5290	811	7	1	1	NUM
aiti-5290	811	8	ˆ	ˆ	NOUN
aiti-5290	811	9	)	)	PUNCT
aiti-5290	812	1	i	i	PRON
aiti-5290	812	2	yi	yi	INTJ
aiti-5290	813	1	t	t	INTJ
aiti-5290	813	2	ym	ym	NOUN
aiti-5290	814	1	m	m	VERB
aiti-5290	815	1	d	d	X
aiti-5290	816	1	u	u	VERB
aiti-5290	817	1	m	m	VERB
aiti-5290	818	1	i	i	PRON
aiti-5290	818	2	dx	dx	PROPN
aiti-5290	818	3	q	q	PROPN
aiti-5290	819	1	e	e	PROPN
aiti-5290	819	2	g	g	PROPN
aiti-5290	819	3	a	a	DET
aiti-5290	819	4	dxϕ	dxϕ	NOUN
aiti-5290	819	5	ω	ω	NOUN
aiti-5290	819	6	=	=	SYM
aiti-5290	819	7			PROPN
aiti-5290	819	8			PROPN
aiti-5290	819	9	′	′	PROPN
aiti-5290	819	10	+	+	X
aiti-5290	820	1	+	+	ADJ
aiti-5290	820	2			PROPN
aiti-5290	820	3			X
aiti-5290	820	4			ADJ
aiti-5290	820	5			PART
aiti-5290	820	6			NOUN
aiti-5290	820	7	∑∫	∑∫	PROPN
aiti-5290	820	8	∫	∫	PROPN
aiti-5290	820	9	∫ɶɶ	∫ɶɶ	PROPN
aiti-5290	820	10	(	(	PUNCT
aiti-5290	820	11	81	81	NUM
aiti-5290	820	12	)	)	PUNCT
aiti-5290	820	13	the	the	DET
aiti-5290	820	14	frequency	frequency	NOUN
aiti-5290	820	15	as	as	ADP
aiti-5290	820	16	st	st	PROPN
aiti-5290	820	17	=	=	PROPN
aiti-5290	820	18	f0	f0	PROPN
aiti-5290	820	19	t	t	PROPN
aiti-5290	820	20	6	6	NUM
aiti-5290	820	21	,	,	PUNCT
aiti-5290	820	22	m=1	m=1	PROPN
aiti-5290	820	23	,	,	PUNCT
aiti-5290	820	24	2	2	NUM
aiti-5290	820	25	,	,	PUNCT
aiti-5290	820	26	3	3	NUM
aiti-5290	820	27	…	…	PUNCT
aiti-5290	820	28	can	can	AUX
aiti-5290	820	29	be	be	AUX
aiti-5290	820	30	obtained	obtain	VERB
aiti-5290	820	31	from	from	ADP
aiti-5290	820	32	eq	eq	PROPN
aiti-5290	820	33	.	.	PUNCT
aiti-5290	821	1	(	(	PUNCT
aiti-5290	821	2	80	80	NUM
aiti-5290	821	3	)	)	PUNCT
aiti-5290	821	4	.	.	PUNCT
aiti-5290	822	1	the	the	DET
aiti-5290	822	2	relationship	relationship	NOUN
aiti-5290	822	3	between	between	ADP
aiti-5290	822	4	different	different	ADJ
aiti-5290	822	5	frequency	frequency	NOUN
aiti-5290	822	6	ratios	ratio	NOUN
aiti-5290	822	7	and	and	CCONJ
aiti-5290	822	8	the	the	DET
aiti-5290	822	9	beam	beam	NOUN
aiti-5290	822	10	sectional	sectional	ADJ
aiti-5290	822	11	length	length	NOUN
aiti-5290	822	12	ratios	ratio	NOUN
aiti-5290	822	13	(	(	PUNCT
aiti-5290	822	14	5	5	X
aiti-5290	822	15	)	)	PUNCT
aiti-5290	822	16	is	be	AUX
aiti-5290	822	17	shown	show	VERB
aiti-5290	822	18	in	in	ADP
aiti-5290	822	19	fig	fig	NOUN
aiti-5290	822	20	.	.	PUNCT
aiti-5290	823	1	3	3	X
aiti-5290	823	2	.	.	X
aiti-5290	823	3	the	the	DET
aiti-5290	823	4	integer	integer	NOUN
aiti-5290	823	5	multiple	multiple	NOUN
aiti-5290	823	6	of	of	ADP
aiti-5290	823	7	frequency	frequency	NOUN
aiti-5290	823	8	ratios	ratio	NOUN
aiti-5290	823	9	has	have	VERB
aiti-5290	823	10	the	the	DET
aiti-5290	823	11	potential	potential	NOUN
aiti-5290	823	12	to	to	PART
aiti-5290	823	13	trigger	trigger	VERB
aiti-5290	823	14	the	the	DET
aiti-5290	823	15	internal	internal	ADJ
aiti-5290	823	16	resonance	resonance	NOUN
aiti-5290	823	17	(	(	PUNCT
aiti-5290	823	18	i.r	i.r	PROPN
aiti-5290	823	19	.	.	PROPN
aiti-5290	823	20	)	)	PUNCT
aiti-5290	823	21	.	.	PUNCT
aiti-5290	824	1	it	it	PRON
aiti-5290	824	2	is	be	AUX
aiti-5290	824	3	noted	note	VERB
aiti-5290	824	4	that	that	SCONJ
aiti-5290	824	5	higher	high	ADJ
aiti-5290	824	6	orders	order	NOUN
aiti-5290	824	7	of	of	ADP
aiti-5290	824	8	structural	structural	ADJ
aiti-5290	824	9	modes	mode	NOUN
aiti-5290	824	10	do	do	AUX
aiti-5290	824	11	not	not	PART
aiti-5290	824	12	exist	exist	VERB
aiti-5290	824	13	in	in	ADP
aiti-5290	824	14	linear	linear	ADJ
aiti-5290	824	15	cases	case	NOUN
aiti-5290	824	16	.	.	PUNCT
aiti-5290	825	1	the	the	DET
aiti-5290	825	2	energy	energy	NOUN
aiti-5290	825	3	transferring	transferring	NOUN
aiti-5290	825	4	between	between	ADP
aiti-5290	825	5	lower	low	ADJ
aiti-5290	825	6	and	and	CCONJ
aiti-5290	825	7	higher	high	ADJ
aiti-5290	825	8	modes	mode	NOUN
aiti-5290	825	9	does	do	AUX
aiti-5290	825	10	not	not	PART
aiti-5290	825	11	happen	happen	VERB
aiti-5290	825	12	in	in	ADP
aiti-5290	825	13	the	the	DET
aiti-5290	825	14	linear	linear	ADJ
aiti-5290	825	15	structural	structural	ADJ
aiti-5290	825	16	models	model	NOUN
aiti-5290	825	17	.	.	PUNCT
aiti-5290	826	1	since	since	SCONJ
aiti-5290	826	2	there	there	PRON
aiti-5290	826	3	are	be	VERB
aiti-5290	826	4	so	so	ADV
aiti-5290	826	5	many	many	ADJ
aiti-5290	826	6	combinations	combination	NOUN
aiti-5290	826	7	of	of	ADP
aiti-5290	826	8	frequency	frequency	NOUN
aiti-5290	826	9	ratios	ratio	NOUN
aiti-5290	826	10	in	in	ADP
aiti-5290	826	11	this	this	DET
aiti-5290	826	12	nonlinear	nonlinear	ADJ
aiti-5290	826	13	system	system	NOUN
aiti-5290	826	14	,	,	PUNCT
aiti-5290	826	15	the	the	DET
aiti-5290	826	16	fixed	fix	VERB
aiti-5290	826	17	point	point	NOUN
aiti-5290	826	18	’s	’s	PART
aiti-5290	826	19	plots	plot	NOUN
aiti-5290	826	20	are	be	AUX
aiti-5290	826	21	used	use	VERB
aiti-5290	826	22	to	to	PART
aiti-5290	826	23	examine	examine	VERB
aiti-5290	826	24	if	if	SCONJ
aiti-5290	826	25	the	the	DET
aiti-5290	826	26	internal	internal	ADJ
aiti-5290	826	27	resonance	resonance	NOUN
aiti-5290	826	28	really	really	ADV
aiti-5290	826	29	happens	happen	VERB
aiti-5290	826	30	in	in	ADP
aiti-5290	826	31	these	these	DET
aiti-5290	826	32	cases	case	NOUN
aiti-5290	826	33	.	.	PUNCT
aiti-5290	827	1	besides	besides	SCONJ
aiti-5290	827	2	,	,	PUNCT
aiti-5290	827	3	for	for	ADP
aiti-5290	827	4	the	the	DET
aiti-5290	827	5	cases	case	NOUN
aiti-5290	827	6	with	with	ADP
aiti-5290	827	7	many	many	ADJ
aiti-5290	827	8	combinations	combination	NOUN
aiti-5290	827	9	of	of	ADP
aiti-5290	827	10	the	the	DET
aiti-5290	827	11	ratios	ratio	NOUN
aiti-5290	827	12	between	between	ADP
aiti-5290	827	13	higher	high	ADJ
aiti-5290	827	14	and	and	CCONJ
aiti-5290	827	15	lower	low	ADJ
aiti-5290	827	16	modes	mode	NOUN
aiti-5290	827	17	frequencies	frequency	NOUN
aiti-5290	827	18	,	,	PUNCT
aiti-5290	827	19	the	the	DET
aiti-5290	827	20	energy	energy	NOUN
aiti-5290	827	21	may	may	AUX
aiti-5290	827	22	not	not	PART
aiti-5290	827	23	be	be	AUX
aiti-5290	827	24	possible	possible	ADJ
aiti-5290	827	25	to	to	PART
aiti-5290	827	26	transfer	transfer	VERB
aiti-5290	827	27	between	between	ADP
aiti-5290	827	28	these	these	DET
aiti-5290	827	29	modes	mode	NOUN
aiti-5290	827	30	.	.	PUNCT
aiti-5290	828	1	the	the	DET
aiti-5290	828	2	possibility	possibility	NOUN
aiti-5290	828	3	of	of	ADP
aiti-5290	828	4	higher	high	ADJ
aiti-5290	828	5	modes	mode	NOUN
aiti-5290	828	6	frequency	frequency	NOUN
aiti-5290	828	7	ratios	ratio	NOUN
aiti-5290	828	8	to	to	PART
aiti-5290	828	9	trigger	trigger	VERB
aiti-5290	828	10	i.r	i.r	PROPN
aiti-5290	828	11	.	.	PROPN
aiti-5290	828	12	is	be	AUX
aiti-5290	828	13	much	much	ADV
aiti-5290	828	14	less	less	ADJ
aiti-5290	828	15	than	than	ADP
aiti-5290	828	16	the	the	DET
aiti-5290	828	17	cases	case	NOUN
aiti-5290	828	18	of	of	ADP
aiti-5290	828	19	small	small	ADJ
aiti-5290	828	20	frequency	frequency	NOUN
aiti-5290	828	21	ratios	ratio	NOUN
aiti-5290	828	22	.	.	PUNCT
aiti-5290	829	1	this	this	DET
aiti-5290	829	2	study	study	NOUN
aiti-5290	829	3	also	also	ADV
aiti-5290	829	4	reveals	reveal	VERB
aiti-5290	829	5	that	that	SCONJ
aiti-5290	829	6	when	when	SCONJ
aiti-5290	829	7	5	5	NUM
aiti-5290	829	8	=	=	SYM
aiti-5290	829	9	0.33	0.33	NUM
aiti-5290	829	10	&	&	CCONJ
aiti-5290	829	11	0.51	0.51	NUM
aiti-5290	829	12	,	,	PUNCT
aiti-5290	829	13	s0	s0	PROPN
aiti-5290	829	14	:	:	PUNCT
aiti-5290	829	15	s6	s6	PROPN
aiti-5290	829	16	=	=	SYM
aiti-5290	829	17	1	1	NUM
aiti-5290	829	18	:	:	SYM
aiti-5290	829	19	3	3	NUM
aiti-5290	829	20	,	,	PUNCT
aiti-5290	829	21	5	5	NUM
aiti-5290	829	22	=	=	SYM
aiti-5290	829	23	0.68	0.68	NUM
aiti-5290	829	24	&	&	CCONJ
aiti-5290	829	25	0.86	0.86	NUM
aiti-5290	829	26	,	,	PUNCT
aiti-5290	829	27	s0	s0	PROPN
aiti-5290	829	28	:	:	PUNCT
aiti-5290	829	29	s6	s6	PROPN
aiti-5290	829	30	=	=	SYM
aiti-5290	829	31	1	1	NUM
aiti-5290	829	32	:	:	SYM
aiti-5290	829	33	5	5	NUM
aiti-5290	829	34	and	and	CCONJ
aiti-5290	829	35	5	5	NUM
aiti-5290	829	36	=	=	SYM
aiti-5290	829	37	0.25	0.25	NUM
aiti-5290	829	38	&	&	CCONJ
aiti-5290	829	39	0.42	0.42	NUM
aiti-5290	829	40	,	,	PUNCT
aiti-5290	829	41	s0	s0	PROPN
aiti-5290	829	42	:	:	PUNCT
aiti-5290	829	43	s6	s6	PROPN
aiti-5290	829	44	=	=	SYM
aiti-5290	829	45	1	1	NUM
aiti-5290	829	46	:	:	SYM
aiti-5290	829	47	6	6	NUM
aiti-5290	829	48	are	be	AUX
aiti-5290	829	49	possible	possible	ADJ
aiti-5290	829	50	to	to	PART
aiti-5290	829	51	trigger	trigger	VERB
aiti-5290	829	52	i.r	i.r	PROPN
aiti-5290	829	53	.	.	PROPN
aiti-5290	830	1	according	accord	VERB
aiti-5290	830	2	to	to	ADP
aiti-5290	830	3	eq	eq	PROPN
aiti-5290	830	4	.	.	PUNCT
aiti-5290	831	1	(	(	PUNCT
aiti-5290	831	2	53	53	NUM
aiti-5290	831	3	)	)	PUNCT
aiti-5290	831	4	,	,	PUNCT
aiti-5290	831	5	only	only	ADV
aiti-5290	831	6	cubic	cubic	ADJ
aiti-5290	831	7	order	order	NOUN
aiti-5290	831	8	of	of	ADP
aiti-5290	831	9	e	e	NOUN
aiti-5290	831	10	exists	exist	VERB
aiti-5290	831	11	in	in	ADP
aiti-5290	831	12	this	this	DET
aiti-5290	831	13	system	system	NOUN
aiti-5290	831	14	,	,	PUNCT
aiti-5290	831	15	which	which	PRON
aiti-5290	831	16	means	mean	VERB
aiti-5290	831	17	only	only	ADV
aiti-5290	831	18	1:3	1:3	NUM
aiti-5290	831	19	i.r	i.r	PROPN
aiti-5290	831	20	.	.	PROPN
aiti-5290	831	21	exists	exist	VERB
aiti-5290	831	22	in	in	ADP
aiti-5290	831	23	the	the	DET
aiti-5290	831	24	1st	1st	ADJ
aiti-5290	831	25	and	and	CCONJ
aiti-5290	831	26	2nd	2nd	ADJ
aiti-5290	831	27	modes	mode	NOUN
aiti-5290	831	28	.	.	PUNCT
aiti-5290	832	1	therefore	therefore	ADV
aiti-5290	832	2	,	,	PUNCT
aiti-5290	832	3	only	only	ADV
aiti-5290	832	4	the	the	DET
aiti-5290	832	5	case	case	NOUN
aiti-5290	832	6	of	of	ADP
aiti-5290	832	7	1:3	1:3	NUM
aiti-5290	832	8	i.r	i.r	PROPN
aiti-5290	832	9	.	.	PROPN
aiti-5290	832	10	in	in	ADP
aiti-5290	832	11	the	the	DET
aiti-5290	832	12	1st	1st	ADJ
aiti-5290	832	13	and	and	CCONJ
aiti-5290	832	14	2nd	2nd	ADJ
aiti-5290	832	15	modes	mode	NOUN
aiti-5290	832	16	will	will	AUX
aiti-5290	832	17	be	be	AUX
aiti-5290	832	18	investigated	investigate	VERB
aiti-5290	832	19	in	in	ADP
aiti-5290	832	20	this	this	DET
aiti-5290	832	21	study	study	NOUN
aiti-5290	832	22	.	.	PUNCT
aiti-5290	833	1	5	5	NUM
aiti-5290	833	2	=	=	SYM
aiti-5290	833	3	0.33	0.33	NUM
aiti-5290	833	4	is	be	AUX
aiti-5290	833	5	chosen	choose	VERB
aiti-5290	833	6	and	and	CCONJ
aiti-5290	833	7	substituted	substitute	VERB
aiti-5290	833	8	into	into	ADP
aiti-5290	833	9	eqs	eqs	PROPN
aiti-5290	833	10	.	.	PUNCT
aiti-5290	834	1	(	(	PUNCT
aiti-5290	834	2	68	68	NUM
aiti-5290	834	3	)	)	PUNCT
aiti-5290	834	4	,	,	PUNCT
aiti-5290	834	5	(	(	PUNCT
aiti-5290	834	6	72	72	NUM
aiti-5290	834	7	)	)	PUNCT
aiti-5290	834	8	.	.	PUNCT
aiti-5290	835	1	by	by	ADP
aiti-5290	835	2	using	use	VERB
aiti-5290	835	3	eqs	eqs	PROPN
aiti-5290	835	4	.	.	PUNCT
aiti-5290	836	1	(	(	PUNCT
aiti-5290	836	2	67)-(76	67)-(76	NOUN
aiti-5290	836	3	)	)	PUNCT
aiti-5290	836	4	,	,	PUNCT
aiti-5290	836	5	this	this	DET
aiti-5290	836	6	study	study	NOUN
aiti-5290	836	7	can	can	AUX
aiti-5290	836	8	obtain	obtain	VERB
aiti-5290	836	9	transfer	transfer	NOUN
aiti-5290	836	10	matrix	matrix	NOUN
aiti-5290	836	11	r	r	NOUN
aiti-5290	836	12	0	0	NUM
aiti-5290	836	13	�	�	PROPN
aiti-5290	836	14	and	and	CCONJ
aiti-5290	836	15	find	find	VERB
aiti-5290	836	16	the	the	DET
aiti-5290	836	17	first	first	ADJ
aiti-5290	836	18	three	three	NUM
aiti-5290	836	19	eigenvalues	eigenvalue	NOUN
aiti-5290	836	20	:	:	PUNCT
aiti-5290	836	21	4.03	4.03	NUM
aiti-5290	836	22	,	,	PUNCT
aiti-5290	836	23	6.98	6.98	NUM
aiti-5290	836	24	,	,	PUNCT
aiti-5290	836	25	10.04	10.04	NUM
aiti-5290	836	26	.	.	PUNCT
aiti-5290	837	1	the	the	DET
aiti-5290	837	2	1st	1st	ADJ
aiti-5290	837	3	section	section	NOUN
aiti-5290	837	4	beam	beam	NOUN
aiti-5290	837	5	mode	mode	PROPN
aiti-5290	837	6	shape	shape	NOUN
aiti-5290	837	7	coefficients	coefficient	NOUN
aiti-5290	837	8	can	can	AUX
aiti-5290	837	9	be	be	AUX
aiti-5290	837	10	obtained	obtain	VERB
aiti-5290	837	11	by	by	ADP
aiti-5290	837	12	eq	eq	PROPN
aiti-5290	837	13	.	.	PUNCT
aiti-5290	838	1	(	(	PUNCT
aiti-5290	838	2	76	76	NUM
aiti-5290	838	3	)	)	PUNCT
aiti-5290	838	4	.	.	PUNCT
aiti-5290	839	1	the	the	DET
aiti-5290	839	2	2nd	2nd	ADJ
aiti-5290	839	3	section	section	NOUN
aiti-5290	839	4	beam	beam	NOUN
aiti-5290	839	5	mode	mode	PROPN
aiti-5290	839	6	shape	shape	NOUN
aiti-5290	839	7	coefficients	coefficient	NOUN
aiti-5290	839	8	can	can	AUX
aiti-5290	839	9	be	be	AUX
aiti-5290	839	10	obtained	obtain	VERB
aiti-5290	839	11	by	by	ADP
aiti-5290	839	12	eq	eq	PROPN
aiti-5290	839	13	.	.	PUNCT
aiti-5290	840	1	(	(	PUNCT
aiti-5290	840	2	70	70	NUM
aiti-5290	840	3	)	)	PUNCT
aiti-5290	840	4	.	.	PUNCT
aiti-5290	841	1	the	the	DET
aiti-5290	841	2	mode	mode	NOUN
aiti-5290	841	3	shape	shape	NOUN
aiti-5290	841	4	functions	function	NOUN
aiti-5290	841	5	of	of	ADP
aiti-5290	841	6	the	the	DET
aiti-5290	841	7	1st	1st	ADJ
aiti-5290	841	8	and	and	CCONJ
aiti-5290	841	9	2nd	2nd	ADJ
aiti-5290	841	10	beam	beam	NOUN
aiti-5290	841	11	sections	section	NOUN
aiti-5290	841	12	can	can	AUX
aiti-5290	841	13	be	be	AUX
aiti-5290	841	14	obtained	obtain	VERB
aiti-5290	841	15	by	by	ADP
aiti-5290	841	16	eqs	eqs	PROPN
aiti-5290	841	17	.	.	PUNCT
aiti-5290	842	1	(	(	PUNCT
aiti-5290	842	2	65)-(66	65)-(66	NOUN
aiti-5290	842	3	)	)	PUNCT
aiti-5290	842	4	.	.	PUNCT
aiti-5290	843	1	similarly	similarly	ADV
aiti-5290	843	2	,	,	PUNCT
aiti-5290	843	3	this	this	DET
aiti-5290	843	4	study	study	NOUN
aiti-5290	843	5	can	can	AUX
aiti-5290	843	6	gain	gain	VERB
aiti-5290	843	7	other	other	ADJ
aiti-5290	843	8	mode	mode	NOUN
aiti-5290	843	9	shapes	shape	NOUN
aiti-5290	843	10	for	for	ADP
aiti-5290	843	11	different	different	ADJ
aiti-5290	843	12	5	5	NUM
aiti-5290	843	13	.	.	PUNCT
aiti-5290	843	14	advances	advance	NOUN
aiti-5290	843	15	in	in	ADP
aiti-5290	843	16	technology	technology	NOUN
aiti-5290	843	17	innovation	innovation	NOUN
aiti-5290	843	18	,	,	PUNCT
aiti-5290	843	19	vol	vol	NOUN
aiti-5290	843	20	.	.	PROPN
aiti-5290	843	21	5	5	NUM
aiti-5290	843	22	,	,	PUNCT
aiti-5290	843	23	no	no	INTJ
aiti-5290	843	24	.	.	NOUN
aiti-5290	843	25	4	4	NUM
aiti-5290	843	26	,	,	PUNCT
aiti-5290	843	27	2020	2020	NUM
aiti-5290	843	28	,	,	PUNCT
aiti-5290	843	29	pp	pp	ADV
aiti-5290	843	30	.	.	PUNCT
aiti-5290	844	1	270	270	NUM
aiti-5290	844	2	-	-	SYM
aiti-5290	844	3	291	291	NUM
aiti-5290	844	4	282	282	NUM
aiti-5290	844	5	fig	fig	NOUN
aiti-5290	844	6	.	.	PUNCT
aiti-5290	845	1	3	3	NUM
aiti-5290	845	2	frequency	frequency	NOUN
aiti-5290	845	3	ratios	ratio	NOUN
aiti-5290	845	4	for	for	ADP
aiti-5290	845	5	different	different	ADJ
aiti-5290	845	6	beam	beam	NOUN
aiti-5290	845	7	sectional	sectional	ADJ
aiti-5290	845	8	length	length	NOUN
aiti-5290	845	9	ratios	ratio	NOUN
aiti-5290	845	10	3.2	3.2	NUM
aiti-5290	845	11	.	.	PUNCT
aiti-5290	846	1	frequency	frequency	NOUN
aiti-5290	846	2	analysis	analysis	NOUN
aiti-5290	846	3	since	since	SCONJ
aiti-5290	846	4	1:3	1:3	NUM
aiti-5290	846	5	i.r	i.r	PROPN
aiti-5290	846	6	.	.	PROPN
aiti-5290	846	7	happens	happen	VERB
aiti-5290	846	8	in	in	ADP
aiti-5290	846	9	the	the	DET
aiti-5290	846	10	1st	1st	ADJ
aiti-5290	846	11	and	and	CCONJ
aiti-5290	846	12	2nd	2nd	ADJ
aiti-5290	846	13	modes	mode	NOUN
aiti-5290	846	14	,	,	PUNCT
aiti-5290	846	15	the	the	DET
aiti-5290	846	16	1st	1st	ADJ
aiti-5290	846	17	and	and	CCONJ
aiti-5290	846	18	2nd	2nd	ADJ
aiti-5290	846	19	modes	mode	NOUN
aiti-5290	846	20	will	will	AUX
aiti-5290	846	21	be	be	AUX
aiti-5290	846	22	discussed	discuss	VERB
aiti-5290	846	23	in	in	ADP
aiti-5290	846	24	the	the	DET
aiti-5290	846	25	following	follow	VERB
aiti-5290	846	26	analysis	analysis	NOUN
aiti-5290	846	27	.	.	PUNCT
aiti-5290	847	1	the	the	DET
aiti-5290	847	2	solutions	solution	NOUN
aiti-5290	847	3	to	to	ADP
aiti-5290	847	4	the	the	DET
aiti-5290	847	5	generalized	generalized	ADJ
aiti-5290	847	6	coordinate	coordinate	NOUN
aiti-5290	847	7	are	be	AUX
aiti-5290	847	8	introduced	introduce	VERB
aiti-5290	847	9	:	:	PUNCT
aiti-5290	847	10	0	0	NUM
aiti-5290	847	11	0	0	NUM
aiti-5290	847	12	1	1	NUM
aiti-5290	847	13	(	(	PUNCT
aiti-5290	847	14	)	)	PUNCT
aiti-5290	847	15	m	m	VERB
aiti-5290	847	16	mi	mi	NOUN
aiti-5290	848	1	i	i	PRON
aiti-5290	848	2	t	t	PROPN
aiti-5290	848	3	m	m	VERB
aiti-5290	848	4	mb	mb	ADP
aiti-5290	848	5	t	t	PROPN
aiti-5290	848	6	e	e	X
aiti-5290	848	7	e	e	X
aiti-5290	848	8	cc	cc	PROPN
aiti-5290	848	9	ς	ς	PROPN
aiti-5290	848	10	ωξ	ωξ	ADP
aiti-5290	848	11	−=	−=	NOUN
aiti-5290	848	12	+	+	CCONJ
aiti-5290	848	13	(	(	PUNCT
aiti-5290	848	14	82	82	NUM
aiti-5290	848	15	)	)	PUNCT
aiti-5290	848	16	0	0	NUM
aiti-5290	848	17	0	0	NUM
aiti-5290	848	18	00	00	NUM
aiti-5290	848	19	1	1	NUM
aiti-5290	848	20	(	(	PUNCT
aiti-5290	848	21	)	)	PUNCT
aiti-5290	848	22	m	m	VERB
aiti-5290	848	23	mi	mi	NOUN
aiti-5290	849	1	i	i	PRON
aiti-5290	849	2	t	t	PROPN
aiti-5290	849	3	m	m	VERB
aiti-5290	849	4	m	m	VERB
aiti-5290	849	5	m	m	VERB
aiti-5290	849	6	md	md	PROPN
aiti-5290	849	7	i	i	PROPN
aiti-5290	849	8	b	b	PROPN
aiti-5290	849	9	t	t	X
aiti-5290	849	10	e	e	X
aiti-5290	849	11	e	e	X
aiti-5290	849	12	cc	cc	PROPN
aiti-5290	849	13	ς	ς	PROPN
aiti-5290	849	14	ωξ	ωξ	ADP
aiti-5290	849	15	ξ	ξ	PROPN
aiti-5290	849	16	ω	ω	X
aiti-5290	849	17	−=	−=	X
aiti-5290	849	18	=	=	PUNCT
aiti-5290	850	1	+	+	ADJ
aiti-5290	850	2	ɺ	ɺ	PROPN
aiti-5290	850	3	(	(	PUNCT
aiti-5290	850	4	83	83	NUM
aiti-5290	850	5	)	)	PUNCT
aiti-5290	850	6	0	0	NUM
aiti-5290	850	7	0	0	NUM
aiti-5290	850	8	00	00	NUM
aiti-5290	850	9	1	1	NUM
aiti-5290	850	10	1	1	NUM
aiti-5290	850	11	1	1	NUM
aiti-5290	850	12	(	(	PUNCT
aiti-5290	850	13	(	(	PUNCT
aiti-5290	850	14	)	)	PUNCT
aiti-5290	850	15	)	)	PUNCT
aiti-5290	850	16	(	(	PUNCT
aiti-5290	850	17	(	(	PUNCT
aiti-5290	850	18	)	)	PUNCT
aiti-5290	850	19	)	)	PUNCT
aiti-5290	850	20	m	m	VERB
aiti-5290	850	21	m	m	VERB
aiti-5290	850	22	m	m	VERB
aiti-5290	850	23	mi	mi	ADJ
aiti-5290	851	1	i	i	PRON
aiti-5290	851	2	t	t	X
aiti-5290	852	1	i	i	PRON
aiti-5290	853	1	i	i	PRON
aiti-5290	853	2	t	t	VERB
aiti-5290	853	3	m	m	VERB
aiti-5290	853	4	m	m	VERB
aiti-5290	853	5	m	m	VERB
aiti-5290	853	6	m	m	VERB
aiti-5290	853	7	m	m	VERB
aiti-5290	853	8	md	md	PROPN
aiti-5290	854	1	d	d	PROPN
aiti-5290	854	2	i	i	PROPN
aiti-5290	854	3	b	b	PROPN
aiti-5290	854	4	t	t	X
aiti-5290	854	5	e	e	X
aiti-5290	854	6	e	e	PROPN
aiti-5290	854	7	cc	cc	PROPN
aiti-5290	854	8	b	b	PROPN
aiti-5290	854	9	t	t	PROPN
aiti-5290	854	10	e	e	X
aiti-5290	854	11	e	e	X
aiti-5290	854	12	cc	cc	PROPN
aiti-5290	854	13	ς	ς	PROPN
aiti-5290	854	14	ω	ω	PROPN
aiti-5290	854	15	ς	ς	PROPN
aiti-5290	854	16	ωξ	ωξ	ADP
aiti-5290	854	17	ω	ω	PROPN
aiti-5290	854	18	ω	ω	NUM
aiti-5290	854	19	ς−	ς−	PROPN
aiti-5290	854	20	−′	−′	PROPN
aiti-5290	854	21	′=	′=	PROPN
aiti-5290	854	22	+	+	PUNCT
aiti-5290	855	1	+	+	PUNCT
aiti-5290	855	2	+	+	CCONJ
aiti-5290	855	3	(	(	PUNCT
aiti-5290	855	4	84	84	NUM
aiti-5290	855	5	)	)	PUNCT
aiti-5290	855	6	where	where	SCONJ
aiti-5290	855	7	�	�	PROPN
aiti-5290	855	8	�	�	PROPN
aiti-5290	855	9	≡	≡	PROPN
aiti-5290	855	10	�	�	PROPN
aiti-5290	855	11	0	0	PROPN
aiti-5290	855	12	�	�	PROPN
aiti-5290	855	13	and	and	CCONJ
aiti-5290	855	14	cc	cc	PROPN
aiti-5290	855	15	represents	represent	VERB
aiti-5290	855	16	complex	complex	ADJ
aiti-5290	855	17	conjugate	conjugate	NOUN
aiti-5290	855	18	.	.	PUNCT
aiti-5290	856	1	in	in	ADP
aiti-5290	856	2	eq	eq	ADP
aiti-5290	856	3	.	.	PUNCT
aiti-5290	857	1	(	(	PUNCT
aiti-5290	857	2	81	81	NUM
aiti-5290	857	3	)	)	PUNCT
aiti-5290	857	4	,	,	PUNCT
aiti-5290	857	5	the	the	DET
aiti-5290	857	6	distributed	distribute	VERB
aiti-5290	857	7	load	load	NOUN
aiti-5290	857	8	is	be	AUX
aiti-5290	857	9	assumed	assume	VERB
aiti-5290	857	10	as	as	ADP
aiti-5290	857	11	"	"	PUNCT
aiti-5290	857	12	t	t	NOUN
aiti-5290	857	13	#	#	NOUN
aiti-5290	857	14	$	$	SYM
aiti-5290	857	15	%	%	NOUN
aiti-5290	857	16	\	\	PUNCT
aiti-5290	857	17	=	=	PUNCT
aiti-5290	857	18	"	"	PUNCT
aiti-5290	857	19	t	t	PROPN
aiti-5290	857	20	#	#	NOUN
aiti-5290	857	21	$	$	NUM
aiti-5290	857	22	]	]	PUNCT
aiti-5290	857	23	^_`ab	^_`ab	NUM
aiti-5290	857	24	�	�	PROPN
aiti-5290	857	25	cd	cd	NOUN
aiti-5290	857	26	=	=	PUNCT
aiti-5290	857	27	"	"	PUNCT
aiti-5290	857	28	t	t	NOUN
aiti-5290	857	29	#	#	NOUN
aiti-5290	857	30	$	$	SYM
aiti-5290	857	31	`	`	PUNCT
aiti-5290	857	32	abcd#$]^cd	abcd#$]^cd	PROPN
aiti-5290	857	33	=	=	PUNCT
aiti-5290	857	34	"	"	PUNCT
aiti-5290	857	35	t	t	NOUN
aiti-5290	857	36	#	#	X
aiti-5290	857	37	$	$	SYM
aiti-5290	857	38	bce#$]^cd	bce#$]^cd	PROPN
aiti-5290	857	39	.	.	PUNCT
aiti-5290	858	1	if	if	SCONJ
aiti-5290	858	2	the	the	DET
aiti-5290	858	3	solving	solving	NOUN
aiti-5290	858	4	procedure	procedure	NOUN
aiti-5290	858	5	continues	continue	VERB
aiti-5290	858	6	,	,	PUNCT
aiti-5290	858	7	terms	term	NOUN
aiti-5290	858	8	containing	contain	VERB
aiti-5290	858	9	the	the	DET
aiti-5290	858	10	factors	factor	NOUN
aiti-5290	858	11	of	of	ADP
aiti-5290	858	12	the	the	DET
aiti-5290	858	13	system	system	NOUN
aiti-5290	858	14	frequencies	frequency	NOUN
aiti-5290	858	15	(	(	PUNCT
aiti-5290	858	16	or	or	CCONJ
aiti-5290	858	17	harmonics	harmonic	NOUN
aiti-5290	858	18	)	)	PUNCT
aiti-5290	858	19	appear	appear	VERB
aiti-5290	858	20	on	on	ADP
aiti-5290	858	21	the	the	DET
aiti-5290	858	22	right	right	ADJ
aiti-5290	858	23	-	-	PUNCT
aiti-5290	858	24	hand	hand	NOUN
aiti-5290	858	25	of	of	ADP
aiti-5290	858	26	eq	eq	PROPN
aiti-5290	858	27	.	.	PUNCT
aiti-5290	859	1	(	(	PUNCT
aiti-5290	859	2	81	81	NUM
aiti-5290	859	3	)	)	PUNCT
aiti-5290	859	4	.	.	PUNCT
aiti-5290	860	1	terms	term	NOUN
aiti-5290	860	2	such	such	ADJ
aiti-5290	860	3	as	as	ADP
aiti-5290	860	4	these	these	PRON
aiti-5290	860	5	are	be	AUX
aiti-5290	860	6	called	call	VERB
aiti-5290	860	7	secular	secular	ADJ
aiti-5290	860	8	terms	term	NOUN
aiti-5290	860	9	.	.	PUNCT
aiti-5290	861	1	because	because	SCONJ
aiti-5290	861	2	of	of	ADP
aiti-5290	861	3	the	the	DET
aiti-5290	861	4	secular	secular	ADJ
aiti-5290	861	5	terms	term	NOUN
aiti-5290	861	6	,	,	PUNCT
aiti-5290	861	7	the	the	DET
aiti-5290	861	8	solution	solution	NOUN
aiti-5290	861	9	of	of	ADP
aiti-5290	861	10	eq	eq	PROPN
aiti-5290	861	11	.	.	PUNCT
aiti-5290	861	12	(	(	PUNCT
aiti-5290	861	13	81	81	NUM
aiti-5290	861	14	)	)	PUNCT
aiti-5290	861	15	increases	increase	NOUN
aiti-5290	861	16	without	without	ADP
aiti-5290	861	17	bound	bind	VERB
aiti-5290	861	18	as	as	ADP
aiti-5290	861	19	t	t	NOUN
aiti-5290	861	20	increases	increase	NOUN
aiti-5290	861	21	.	.	PUNCT
aiti-5290	862	1	the	the	DET
aiti-5290	862	2	time	time	NOUN
aiti-5290	862	3	scale	scale	NOUN
aiti-5290	862	4	of	of	ADP
aiti-5290	862	5	e0	e0	PROPN
aiti-5290	862	6	does	do	AUX
aiti-5290	862	7	not	not	PART
aiti-5290	862	8	provide	provide	VERB
aiti-5290	862	9	a	a	DET
aiti-5290	862	10	small	small	ADJ
aiti-5290	862	11	correction	correction	NOUN
aiti-5290	862	12	to	to	ADP
aiti-5290	862	13	time	time	NOUN
aiti-5290	862	14	scale	scale	NOUN
aiti-5290	862	15	of	of	ADP
aiti-5290	862	16	e	e	PROPN
aiti-5290	862	17	..	..	PUNCT
aiti-5290	862	18	the	the	DET
aiti-5290	862	19	secular	secular	ADJ
aiti-5290	862	20	terms	term	NOUN
aiti-5290	862	21	for	for	ADP
aiti-5290	862	22	s0	s0	PROPN
aiti-5290	862	23	,	,	PUNCT
aiti-5290	862	24	s6	s6	PROPN
aiti-5290	862	25	−	−	PROPN
aiti-5290	862	26	2s0	2s0	NUM
aiti-5290	862	27	harmonics	harmonic	NOUN
aiti-5290	862	28	of	of	ADP
aiti-5290	862	29	the	the	DET
aiti-5290	862	30	y	y	PROPN
aiti-5290	862	31	-	-	PUNCT
aiti-5290	862	32	dir	dir	PROPN
aiti-5290	862	33	.	.	PUNCT
aiti-5290	863	1	1st	1st	ADJ
aiti-5290	863	2	mode	mode	NOUN
aiti-5290	863	3	(	(	PUNCT
aiti-5290	863	4	m	m	NOUN
aiti-5290	863	5	=	=	NOUN
aiti-5290	863	6	1	1	NUM
aiti-5290	863	7	)	)	PUNCT
aiti-5290	863	8	can	can	AUX
aiti-5290	863	9	be	be	AUX
aiti-5290	863	10	selected	select	VERB
aiti-5290	863	11	.	.	PUNCT
aiti-5290	864	1	likewise	likewise	ADV
aiti-5290	864	2	,	,	PUNCT
aiti-5290	864	3	the	the	DET
aiti-5290	864	4	secular	secular	ADJ
aiti-5290	864	5	terms	term	NOUN
aiti-5290	864	6	due	due	ADP
aiti-5290	864	7	to	to	ADP
aiti-5290	864	8	harmonic	harmonic	ADJ
aiti-5290	864	9	numbers	number	NOUN
aiti-5290	864	10	of	of	ADP
aiti-5290	864	11	s6	s6	PROPN
aiti-5290	864	12	,	,	PUNCT
aiti-5290	864	13	3s0for	3s0for	ADP
aiti-5290	864	14	the	the	DET
aiti-5290	864	15	y	y	PROPN
aiti-5290	864	16	-	-	PUNCT
aiti-5290	864	17	dir	dir	PROPN
aiti-5290	864	18	2nd	2nd	ADJ
aiti-5290	864	19	mode	mode	NOUN
aiti-5290	864	20	,	,	PUNCT
aiti-5290	864	21	due	due	ADP
aiti-5290	864	22	to	to	ADP
aiti-5290	864	23	harmonic	harmonic	ADJ
aiti-5290	864	24	numbers	number	NOUN
aiti-5290	864	25	of	of	ADP
aiti-5290	864	26	s0	s0	PROPN
aiti-5290	864	27	,	,	PUNCT
aiti-5290	864	28	s6	s6	PROPN
aiti-5290	864	29	−	−	PROPN
aiti-5290	864	30	2s0	2s0	NUM
aiti-5290	864	31	for	for	ADP
aiti-5290	864	32	the	the	DET
aiti-5290	864	33	z	z	NOUN
aiti-5290	864	34	-	-	PUNCT
aiti-5290	864	35	dir	dir	PROPN
aiti-5290	864	36	1st	1st	ADJ
aiti-5290	864	37	mode	mode	NOUN
aiti-5290	864	38	,	,	PUNCT
aiti-5290	864	39	and	and	CCONJ
aiti-5290	864	40	due	due	ADP
aiti-5290	864	41	to	to	ADP
aiti-5290	864	42	harmonic	harmonic	ADJ
aiti-5290	864	43	numbers	number	NOUN
aiti-5290	864	44	of	of	ADP
aiti-5290	864	45	s6	s6	PROPN
aiti-5290	864	46	,	,	PUNCT
aiti-5290	864	47	3s0	3s0	NUM
aiti-5290	864	48	for	for	ADP
aiti-5290	864	49	the	the	DET
aiti-5290	864	50	z	z	NOUN
aiti-5290	864	51	-	-	PUNCT
aiti-5290	864	52	dir	dir	PROPN
aiti-5290	864	53	2nd	2nd	ADJ
aiti-5290	864	54	mode	mode	NOUN
aiti-5290	864	55	can	can	AUX
aiti-5290	864	56	be	be	AUX
aiti-5290	864	57	obtained	obtain	VERB
aiti-5290	864	58	,	,	PUNCT
aiti-5290	864	59	respectively	respectively	ADV
aiti-5290	864	60	.	.	PUNCT
aiti-5290	865	1	refer	refer	VERB
aiti-5290	865	2	to	to	ADP
aiti-5290	865	3	appendix	appendix	VERB
aiti-5290	865	4	for	for	ADP
aiti-5290	865	5	the	the	DET
aiti-5290	865	6	secular	secular	ADJ
aiti-5290	865	7	terms	term	NOUN
aiti-5290	865	8	.	.	PUNCT
aiti-5290	866	1	next	next	ADJ
aiti-5290	866	2	is	be	AUX
aiti-5290	866	3	to	to	PART
aiti-5290	866	4	let	let	VERB
aiti-5290	866	5	the	the	DET
aiti-5290	866	6	secular	secular	ADJ
aiti-5290	866	7	terms	term	NOUN
aiti-5290	866	8	as	as	ADP
aiti-5290	866	9	0	0	NUM
aiti-5290	866	10	to	to	PART
aiti-5290	866	11	get	get	VERB
aiti-5290	866	12	the	the	DET
aiti-5290	866	13	solvability	solvability	NOUN
aiti-5290	866	14	conditions	condition	NOUN
aiti-5290	866	15	for	for	ADP
aiti-5290	866	16	solving	solve	VERB
aiti-5290	866	17	the	the	DET
aiti-5290	866	18	mode	mode	NOUN
aiti-5290	866	19	amplitudes	amplitude	NOUN
aiti-5290	866	20	in	in	ADP
aiti-5290	866	21	the	the	DET
aiti-5290	866	22	frequency	frequency	NOUN
aiti-5290	866	23	domain	domain	NOUN
aiti-5290	866	24	.	.	PUNCT
aiti-5290	867	1	the	the	DET
aiti-5290	867	2	fixed	fix	VERB
aiti-5290	867	3	point	point	NOUN
aiti-5290	867	4	’s	’s	PART
aiti-5290	867	5	plots	plot	NOUN
aiti-5290	867	6	can	can	AUX
aiti-5290	867	7	be	be	AUX
aiti-5290	867	8	obtained	obtain	VERB
aiti-5290	867	9	to	to	PART
aiti-5290	867	10	analyze	analyze	VERB
aiti-5290	867	11	the	the	DET
aiti-5290	867	12	frequency	frequency	NOUN
aiti-5290	867	13	response	response	NOUN
aiti-5290	867	14	for	for	ADP
aiti-5290	867	15	the	the	DET
aiti-5290	867	16	1st	1st	ADJ
aiti-5290	867	17	and	and	CCONJ
aiti-5290	867	18	2nd	2nd	ADJ
aiti-5290	867	19	modes	mode	NOUN
aiti-5290	867	20	of	of	ADP
aiti-5290	867	21	the	the	DET
aiti-5290	867	22	yand	yand	PROPN
aiti-5290	867	23	z	z	PROPN
aiti-5290	867	24	-	-	PUNCT
aiti-5290	867	25	dir	dir	PROPN
aiti-5290	867	26	.	.	PUNCT
aiti-5290	868	1	fig	fig	NOUN
aiti-5290	868	2	.	.	PUNCT
aiti-5290	869	1	4	4	NUM
aiti-5290	869	2	fixed	fix	VERB
aiti-5290	869	3	point	point	NOUN
aiti-5290	869	4	plot	plot	NOUN
aiti-5290	869	5	of	of	ADP
aiti-5290	869	6	diameter	diameter	NOUN
aiti-5290	869	7	ratio	ratio	NOUN
aiti-5290	869	8	=	=	SYM
aiti-5290	869	9	1/0.75	1/0.75	NUM
aiti-5290	869	10	,	,	PUNCT
aiti-5290	869	11	5	5	NUM
aiti-5290	869	12	=	=	SYM
aiti-5290	869	13	0.33	0.33	NUM
aiti-5290	869	14	,	,	PUNCT
aiti-5290	869	15	exciting	exciting	ADJ
aiti-5290	869	16	the	the	DET
aiti-5290	869	17	y	y	PROPN
aiti-5290	869	18	-	-	PUNCT
aiti-5290	869	19	dir	dir	PROPN
aiti-5290	869	20	.	.	PUNCT
aiti-5290	869	21	,	,	PUNCT
aiti-5290	869	22	1st	1st	ADJ
aiti-5290	869	23	mode	mode	PROPN
aiti-5290	869	24	fig	fig	NOUN
aiti-5290	869	25	.	.	PUNCT
aiti-5290	870	1	5	5	NUM
aiti-5290	870	2	fixed	fix	VERB
aiti-5290	870	3	point	point	NOUN
aiti-5290	870	4	plot	plot	NOUN
aiti-5290	870	5	of	of	ADP
aiti-5290	870	6	diameter	diameter	NOUN
aiti-5290	870	7	ratio	ratio	NOUN
aiti-5290	870	8	=	=	SYM
aiti-5290	870	9	1/0.75	1/0.75	NUM
aiti-5290	870	10	,	,	PUNCT
aiti-5290	870	11	5	5	NUM
aiti-5290	870	12	=	=	SYM
aiti-5290	870	13	0.33	0.33	NUM
aiti-5290	870	14	,	,	PUNCT
aiti-5290	870	15	exciting	exciting	ADJ
aiti-5290	870	16	the	the	DET
aiti-5290	870	17	y	y	PROPN
aiti-5290	870	18	-	-	PUNCT
aiti-5290	870	19	dir	dir	PROPN
aiti-5290	870	20	.	.	PUNCT
aiti-5290	870	21	,	,	PUNCT
aiti-5290	870	22	2nd	2nd	ADJ
aiti-5290	870	23	mode	mode	NOUN
aiti-5290	870	24	advances	advance	VERB
aiti-5290	870	25	in	in	ADP
aiti-5290	870	26	technology	technology	NOUN
aiti-5290	870	27	innovation	innovation	NOUN
aiti-5290	870	28	,	,	PUNCT
aiti-5290	870	29	vol	vol	NOUN
aiti-5290	870	30	.	.	PROPN
aiti-5290	870	31	5	5	NUM
aiti-5290	870	32	,	,	PUNCT
aiti-5290	870	33	no	no	INTJ
aiti-5290	870	34	.	.	NOUN
aiti-5290	870	35	4	4	NUM
aiti-5290	870	36	,	,	PUNCT
aiti-5290	870	37	2020	2020	NUM
aiti-5290	870	38	,	,	PUNCT
aiti-5290	870	39	pp	pp	ADV
aiti-5290	870	40	.	.	PUNCT
aiti-5290	871	1	270	270	NUM
aiti-5290	871	2	-	-	SYM
aiti-5290	871	3	291	291	NUM
aiti-5290	871	4	283	283	NUM
aiti-5290	871	5	figs	fig	NOUN
aiti-5290	871	6	.	.	PUNCT
aiti-5290	872	1	4	4	NUM
aiti-5290	872	2	-	-	SYM
aiti-5290	872	3	5	5	NUM
aiti-5290	872	4	are	be	AUX
aiti-5290	872	5	the	the	DET
aiti-5290	872	6	fixed	fix	VERB
aiti-5290	872	7	point	point	NOUN
aiti-5290	872	8	plot	plot	NOUN
aiti-5290	872	9	of	of	ADP
aiti-5290	872	10	the	the	DET
aiti-5290	872	11	y	y	PROPN
aiti-5290	872	12	-	-	PUNCT
aiti-5290	872	13	dir	dir	PROPN
aiti-5290	872	14	.	.	PUNCT
aiti-5290	872	15	,	,	PUNCT
aiti-5290	872	16	5	5	NUM
aiti-5290	872	17	=	=	SYM
aiti-5290	872	18	0.33	0.33	NUM
aiti-5290	872	19	and	and	CCONJ
aiti-5290	872	20	for	for	ADP
aiti-5290	872	21	the	the	DET
aiti-5290	872	22	1st	1st	ADJ
aiti-5290	872	23	and	and	CCONJ
aiti-5290	872	24	2nd	2nd	ADJ
aiti-5290	872	25	mode	mode	NOUN
aiti-5290	872	26	,	,	PUNCT
aiti-5290	872	27	individually	individually	ADV
aiti-5290	872	28	.	.	PUNCT
aiti-5290	873	1	even	even	ADV
aiti-5290	873	2	though	though	SCONJ
aiti-5290	873	3	the	the	DET
aiti-5290	873	4	2nd	2nd	ADJ
aiti-5290	873	5	mode	mode	NOUN
aiti-5290	873	6	is	be	AUX
aiti-5290	873	7	excited	excited	ADJ
aiti-5290	873	8	,	,	PUNCT
aiti-5290	873	9	the	the	DET
aiti-5290	873	10	1st	1st	ADJ
aiti-5290	873	11	mode	mode	NOUN
aiti-5290	873	12	amplitude	amplitude	NOUN
aiti-5290	873	13	is	be	AUX
aiti-5290	873	14	larger	large	ADJ
aiti-5290	873	15	than	than	ADP
aiti-5290	873	16	the	the	DET
aiti-5290	873	17	2nd	2nd	ADJ
aiti-5290	873	18	mode	mode	NOUN
aiti-5290	873	19	(	(	PUNCT
aiti-5290	873	20	the	the	DET
aiti-5290	873	21	excited	excited	ADJ
aiti-5290	873	22	mode	mode	NOUN
aiti-5290	873	23	)	)	PUNCT
aiti-5290	873	24	,	,	PUNCT
aiti-5290	873	25	and	and	CCONJ
aiti-5290	873	26	thus	thus	ADV
aiti-5290	873	27	an	an	DET
aiti-5290	873	28	i.r	i.r	PROPN
aiti-5290	873	29	.	.	PROPN
aiti-5290	873	30	happens	happen	VERB
aiti-5290	873	31	in	in	ADP
aiti-5290	873	32	the	the	DET
aiti-5290	873	33	1st	1st	ADJ
aiti-5290	873	34	and	and	CCONJ
aiti-5290	873	35	2nd	2nd	ADJ
aiti-5290	873	36	modes	mode	NOUN
aiti-5290	873	37	.	.	PUNCT
aiti-5290	874	1	the	the	DET
aiti-5290	874	2	same	same	ADJ
aiti-5290	874	3	thing	thing	NOUN
aiti-5290	874	4	happens	happen	VERB
aiti-5290	874	5	in	in	ADP
aiti-5290	874	6	the	the	DET
aiti-5290	874	7	case	case	NOUN
aiti-5290	874	8	of	of	ADP
aiti-5290	874	9	5	5	NUM
aiti-5290	874	10	=	=	SYM
aiti-5290	874	11	0.51	0.51	NUM
aiti-5290	874	12	.	.	PUNCT
aiti-5290	875	1	the	the	DET
aiti-5290	875	2	fixed	fix	VERB
aiti-5290	875	3	point	point	NOUN
aiti-5290	875	4	’s	’s	PART
aiti-5290	875	5	plots	plot	NOUN
aiti-5290	875	6	are	be	AUX
aiti-5290	875	7	shown	show	VERB
aiti-5290	875	8	in	in	ADP
aiti-5290	875	9	figs	fig	NOUN
aiti-5290	875	10	.	.	PUNCT
aiti-5290	876	1	6	6	NUM
aiti-5290	876	2	-	-	SYM
aiti-5290	876	3	7	7	NUM
aiti-5290	876	4	for	for	ADP
aiti-5290	876	5	the	the	DET
aiti-5290	876	6	1st	1st	ADJ
aiti-5290	876	7	and	and	CCONJ
aiti-5290	876	8	2nd	2nd	ADJ
aiti-5290	876	9	mode	mode	NOUN
aiti-5290	876	10	are	be	AUX
aiti-5290	876	11	excited	excited	ADJ
aiti-5290	876	12	.	.	PUNCT
aiti-5290	877	1	fig	fig	NOUN
aiti-5290	877	2	.	.	PUNCT
aiti-5290	878	1	6	6	NUM
aiti-5290	878	2	fixed	fix	VERB
aiti-5290	878	3	point	point	NOUN
aiti-5290	878	4	plot	plot	NOUN
aiti-5290	878	5	of	of	ADP
aiti-5290	878	6	diameter	diameter	NOUN
aiti-5290	878	7	ratio	ratio	NOUN
aiti-5290	878	8	=	=	SYM
aiti-5290	878	9	1/0.75	1/0.75	NUM
aiti-5290	878	10	,	,	PUNCT
aiti-5290	878	11	5	5	NUM
aiti-5290	878	12	=	=	SYM
aiti-5290	878	13	0.51	0.51	NUM
aiti-5290	878	14	,	,	PUNCT
aiti-5290	878	15	exciting	exciting	ADJ
aiti-5290	878	16	the	the	DET
aiti-5290	878	17	y	y	PROPN
aiti-5290	878	18	-	-	PUNCT
aiti-5290	878	19	dir	dir	PROPN
aiti-5290	878	20	.	.	PUNCT
aiti-5290	878	21	,	,	PUNCT
aiti-5290	878	22	1st	1st	ADJ
aiti-5290	878	23	mode	mode	PROPN
aiti-5290	878	24	fig	fig	NOUN
aiti-5290	878	25	.	.	PUNCT
aiti-5290	879	1	7	7	NUM
aiti-5290	879	2	fixed	fix	VERB
aiti-5290	879	3	point	point	NOUN
aiti-5290	879	4	plot	plot	NOUN
aiti-5290	879	5	of	of	ADP
aiti-5290	879	6	diameter	diameter	NOUN
aiti-5290	879	7	ratio	ratio	NOUN
aiti-5290	879	8	=	=	SYM
aiti-5290	879	9	1/0.75	1/0.75	NUM
aiti-5290	879	10	,	,	PUNCT
aiti-5290	879	11	5	5	NUM
aiti-5290	879	12	=	=	SYM
aiti-5290	879	13	0.51	0.51	NUM
aiti-5290	879	14	,	,	PUNCT
aiti-5290	879	15	exciting	exciting	ADJ
aiti-5290	879	16	the	the	DET
aiti-5290	879	17	y	y	PROPN
aiti-5290	879	18	-	-	PUNCT
aiti-5290	879	19	dir	dir	PROPN
aiti-5290	879	20	.	.	PUNCT
aiti-5290	879	21	,	,	PUNCT
aiti-5290	879	22	2nd	2nd	ADJ
aiti-5290	879	23	mode	mode	NOUN
aiti-5290	879	24	to	to	PART
aiti-5290	879	25	verify	verify	VERB
aiti-5290	879	26	the	the	DET
aiti-5290	879	27	frequency	frequency	NOUN
aiti-5290	879	28	domain	domain	NOUN
aiti-5290	879	29	results	result	NOUN
aiti-5290	879	30	,	,	PUNCT
aiti-5290	879	31	the	the	DET
aiti-5290	879	32	fourth	fourth	ADJ
aiti-5290	879	33	order	order	NOUN
aiti-5290	879	34	runge	runge	NOUN
aiti-5290	879	35	-	-	PUNCT
aiti-5290	879	36	kutta	kutta	NOUN
aiti-5290	879	37	method	method	NOUN
aiti-5290	879	38	(	(	PUNCT
aiti-5290	879	39	rk-4	rk-4	ADV
aiti-5290	879	40	)	)	PUNCT
aiti-5290	879	41	is	be	AUX
aiti-5290	879	42	used	use	VERB
aiti-5290	879	43	to	to	PART
aiti-5290	879	44	get	get	VERB
aiti-5290	879	45	the	the	DET
aiti-5290	879	46	numerical	numerical	ADJ
aiti-5290	879	47	results	result	NOUN
aiti-5290	879	48	.	.	PUNCT
aiti-5290	880	1	the	the	DET
aiti-5290	880	2	fourth	fourth	ADJ
aiti-5290	880	3	order	order	NOUN
aiti-5290	880	4	runge	runge	NOUN
aiti-5290	880	5	–	–	PUNCT
aiti-5290	880	6	kutta	kutta	NOUN
aiti-5290	880	7	method	method	NOUN
aiti-5290	880	8	is	be	AUX
aiti-5290	880	9	a	a	DET
aiti-5290	880	10	family	family	NOUN
aiti-5290	880	11	of	of	ADP
aiti-5290	880	12	implicit	implicit	ADJ
aiti-5290	880	13	and	and	CCONJ
aiti-5290	880	14	explicit	explicit	ADJ
aiti-5290	880	15	iterative	iterative	NOUN
aiti-5290	880	16	methods	method	NOUN
aiti-5290	880	17	in	in	ADP
aiti-5290	880	18	numerical	numerical	ADJ
aiti-5290	880	19	analysis	analysis	NOUN
aiti-5290	880	20	.	.	PUNCT
aiti-5290	881	1	it	it	PRON
aiti-5290	881	2	is	be	AUX
aiti-5290	881	3	used	use	VERB
aiti-5290	881	4	in	in	ADP
aiti-5290	881	5	temporal	temporal	ADJ
aiti-5290	881	6	discretization	discretization	NOUN
aiti-5290	881	7	for	for	ADP
aiti-5290	881	8	the	the	DET
aiti-5290	881	9	approximate	approximate	ADJ
aiti-5290	881	10	solutions	solution	NOUN
aiti-5290	881	11	of	of	ADP
aiti-5290	881	12	linear	linear	ADJ
aiti-5290	881	13	or	or	CCONJ
aiti-5290	881	14	nonlinear	nonlinear	ADJ
aiti-5290	881	15	differential	differential	ADJ
aiti-5290	881	16	equations	equation	NOUN
aiti-5290	881	17	.	.	PUNCT
aiti-5290	882	1	in	in	ADP
aiti-5290	882	2	order	order	NOUN
aiti-5290	882	3	to	to	PART
aiti-5290	882	4	get	get	VERB
aiti-5290	882	5	the	the	DET
aiti-5290	882	6	dynamic	dynamic	ADJ
aiti-5290	882	7	equations	equation	NOUN
aiti-5290	882	8	for	for	ADP
aiti-5290	882	9	the	the	DET
aiti-5290	882	10	rk-4	rk-4	NOUN
aiti-5290	882	11	method	method	NOUN
aiti-5290	882	12	,	,	PUNCT
aiti-5290	882	13	the	the	DET
aiti-5290	882	14	following	follow	VERB
aiti-5290	882	15	expressions	expression	NOUN
aiti-5290	882	16	for	for	ADP
aiti-5290	882	17	y	y	PROPN
aiti-5290	882	18	and	and	CCONJ
aiti-5290	882	19	z	z	PROPN
aiti-5290	882	20	are	be	AUX
aiti-5290	882	21	chosen	choose	VERB
aiti-5290	882	22	:	:	PUNCT
aiti-5290	882	23	1	1	NUM
aiti-5290	882	24	yn	yn	PROPN
aiti-5290	882	25	n	n	PROPN
aiti-5290	882	26	n	n	PROPN
aiti-5290	882	27	y	y	PROPN
aiti-5290	882	28	ξ	ξ	X
aiti-5290	882	29	ϕ	ϕ	NOUN
aiti-5290	882	30	∞	∞	PROPN
aiti-5290	882	31	=	=	PUNCT
aiti-5290	883	1	=	=	NOUN
aiti-5290	883	2	∑	∑	PROPN
aiti-5290	883	3	(	(	PUNCT
aiti-5290	883	4	85	85	NUM
aiti-5290	883	5	)	)	SYM
aiti-5290	883	6	1	1	NUM
aiti-5290	883	7	zn	zn	PROPN
aiti-5290	883	8	n	n	CCONJ
aiti-5290	883	9	n	n	PROPN
aiti-5290	883	10	z	z	PROPN
aiti-5290	883	11	ξ	ξ	PRON
aiti-5290	883	12	ϕ	ϕ	NOUN
aiti-5290	883	13	∞	∞	PROPN
aiti-5290	883	14	=	=	PUNCT
aiti-5290	884	1	=	=	NOUN
aiti-5290	884	2	∑	∑	PROPN
aiti-5290	884	3	(	(	PUNCT
aiti-5290	884	4	86	86	NUM
aiti-5290	884	5	)	)	PUNCT
aiti-5290	884	6	substituting	substitute	VERB
aiti-5290	884	7	eqs	eqs	PROPN
aiti-5290	884	8	.	.	PUNCT
aiti-5290	884	9	(	(	PUNCT
aiti-5290	884	10	85	85	NUM
aiti-5290	884	11	)	)	PUNCT
aiti-5290	884	12	and	and	CCONJ
aiti-5290	884	13	(	(	PUNCT
aiti-5290	884	14	86	86	NUM
aiti-5290	884	15	)	)	PUNCT
aiti-5290	884	16	into	into	ADP
aiti-5290	884	17	eqs	eqs	PROPN
aiti-5290	884	18	.	.	PUNCT
aiti-5290	885	1	(	(	PUNCT
aiti-5290	885	2	42	42	NUM
aiti-5290	885	3	)	)	PUNCT
aiti-5290	885	4	and	and	CCONJ
aiti-5290	885	5	(	(	PUNCT
aiti-5290	885	6	43	43	NUM
aiti-5290	885	7	)	)	PUNCT
aiti-5290	885	8	and	and	CCONJ
aiti-5290	885	9	by	by	ADP
aiti-5290	885	10	using	use	VERB
aiti-5290	885	11	the	the	DET
aiti-5290	885	12	orthogonal	orthogonal	ADJ
aiti-5290	885	13	property	property	NOUN
aiti-5290	885	14	,	,	PUNCT
aiti-5290	885	15	the	the	DET
aiti-5290	885	16	following	follow	VERB
aiti-5290	885	17	dynamic	dynamic	ADJ
aiti-5290	885	18	equations	equation	NOUN
aiti-5290	885	19	can	can	AUX
aiti-5290	885	20	be	be	AUX
aiti-5290	885	21	obtained	obtain	VERB
aiti-5290	885	22	:	:	PUNCT
aiti-5290	885	23	2	2	NUM
aiti-5290	885	24	3	3	NUM
aiti-5290	885	25	2	2	NUM
aiti-5290	885	26	2	2	NUM
aiti-5290	885	27	2	2	NUM
aiti-5290	885	28	2	2	NUM
aiti-5290	885	29	1	1	NUM
aiti-5290	885	30	1	1	NUM
aiti-5290	885	31	1	1	NUM
aiti-5290	885	32	1	1	NUM
aiti-5290	885	33	1	1	NUM
aiti-5290	885	34	1	1	NUM
aiti-5290	885	35	1	1	NUM
aiti-5290	885	36	1	1	NUM
aiti-5290	885	37	1	1	NUM
aiti-5290	885	38	1	1	NUM
aiti-5290	885	39	2	2	NUM
aiti-5290	885	40	1	1	NUM
aiti-5290	885	41	1	1	NUM
aiti-5290	885	42	2	2	NUM
aiti-5290	885	43	4	4	NUM
aiti-5290	885	44	1	1	NUM
aiti-5290	885	45	2	2	NUM
aiti-5290	885	46	2	2	NUM
aiti-5290	885	47	1	1	NUM
aiti-5290	885	48	5	5	NUM
aiti-5290	885	49	2	2	NUM
aiti-5290	885	50	2	2	NUM
aiti-5290	885	51	2	2	NUM
aiti-5290	885	52	3	3	NUM
aiti-5290	885	53	2	2	NUM
aiti-5290	885	54	2	2	NUM
aiti-5290	885	55	2	2	NUM
aiti-5290	885	56	1	1	NUM
aiti-5290	885	57	2	2	NUM
aiti-5290	885	58	1	1	NUM
aiti-5290	885	59	2	2	NUM
aiti-5290	885	60	6	6	NUM
aiti-5290	885	61	1	1	NUM
aiti-5290	885	62	2	2	NUM
aiti-5290	885	63	2	2	NUM
aiti-5290	885	64	1	1	NUM
aiti-5290	885	65	2	2	NUM
aiti-5290	885	66	7	7	NUM
aiti-5290	885	67	2	2	NUM
aiti-5290	885	68	2	2	NUM
aiti-5290	885	69	2	2	NUM
aiti-5290	885	70	13	13	NUM
aiti-5290	885	71	1	1	NUM
aiti-5290	885	72	1	1	NUM
aiti-5290	885	73	1	1	NUM
aiti-5290	885	74	1	1	NUM
aiti-5290	885	75	1	1	NUM
aiti-5290	885	76	1	1	NUM
aiti-5290	885	77	1	1	NUM
aiti-5290	885	78	16	16	NUM
aiti-5290	885	79	1	1	NUM
aiti-5290	885	80	ˆ	ˆ	NOUN
aiti-5290	885	81	(	(	PUNCT
aiti-5290	885	82	)	)	PUNCT
aiti-5290	885	83	(	(	PUNCT
aiti-5290	885	84	)	)	PUNCT
aiti-5290	885	85	(	(	PUNCT
aiti-5290	885	86	)	)	PUNCT
aiti-5290	885	87	(	(	PUNCT
aiti-5290	885	88	)	)	PUNCT
aiti-5290	885	89	(	(	PUNCT
aiti-5290	885	90	)	)	PUNCT
aiti-5290	885	91	(	(	PUNCT
aiti-5290	885	92	)	)	PUNCT
aiti-5290	885	93	(	(	PUNCT
aiti-5290	885	94	)	)	PUNCT
aiti-5290	886	1	[	[	PUNCT
aiti-5290	886	2	(	(	PUNCT
aiti-5290	886	3	)	)	PUNCT
aiti-5290	886	4	]	]	PUNCT
aiti-5290	886	5	[	[	PUNCT
aiti-5290	886	6	(	(	PUNCT
aiti-5290	886	7	y	y	NOUN
aiti-5290	886	8	y	y	PROPN
aiti-5290	886	9	d	d	PROPN
aiti-5290	886	10	u	u	X
aiti-5290	886	11	y	y	PROPN
aiti-5290	886	12	y	y	PROPN
aiti-5290	886	13	y	y	PROPN
aiti-5290	886	14	y	y	PROPN
aiti-5290	886	15	z	z	PROPN
aiti-5290	886	16	y	y	PROPN
aiti-5290	886	17	y	y	PROPN
aiti-5290	886	18	y	y	PROPN
aiti-5290	886	19	z	z	PROPN
aiti-5290	886	20	z	z	VERB
aiti-5290	886	21	y	y	PROPN
aiti-5290	886	22	y	y	PROPN
aiti-5290	886	23	y	y	PROPN
aiti-5290	886	24	z	z	PROPN
aiti-5290	886	25	y	y	PROPN
aiti-5290	886	26	y	y	PROPN
aiti-5290	886	27	y	y	PROPN
aiti-5290	886	28	z	z	PROPN
aiti-5290	886	29	y	y	PROPN
aiti-5290	886	30	y	y	PROPN
aiti-5290	886	31	y	y	PROPN
aiti-5290	886	32	z	z	PROPN
aiti-5290	886	33	z	z	VERB
aiti-5290	886	34	y	y	PROPN
aiti-5290	886	35	y	y	PROPN
aiti-5290	886	36	z	z	PROPN
aiti-5290	886	37	y	y	PROPN
aiti-5290	886	38	y	y	PROPN
aiti-5290	886	39	y	y	PROPN
aiti-5290	886	40	y	y	PROPN
aiti-5290	886	41	z	z	PROPN
aiti-5290	886	42	z	z	PROPN
aiti-5290	886	43	z	z	NOUN
aiti-5290	886	44	y	y	PROPN
aiti-5290	886	45	c	c	PROPN
aiti-5290	886	46	a	a	DET
aiti-5290	886	47	c	c	NOUN
aiti-5290	886	48	c	c	NOUN
aiti-5290	886	49	c	c	NOUN
aiti-5290	886	50	c	c	NOUN
aiti-5290	886	51	c	c	NOUN
aiti-5290	886	52	c	c	NOUN
aiti-5290	886	53	c	c	X
aiti-5290	886	54	ξ	ξ	X
aiti-5290	886	55	ξ	ξ	PROPN
aiti-5290	886	56	ω	ω	X
aiti-5290	886	57	ξ	ξ	X
aiti-5290	886	58	ξ	ξ	X
aiti-5290	886	59	ξ	ξ	PROPN
aiti-5290	886	60	ξ	ξ	X
aiti-5290	886	61	ξ	ξ	X
aiti-5290	886	62	ξ	ξ	X
aiti-5290	886	63	ξ	ξ	X
aiti-5290	886	64	ξ	ξ	X
aiti-5290	886	65	ξ	ξ	X
aiti-5290	886	66	ξ	ξ	X
aiti-5290	886	67	ξ	ξ	X
aiti-5290	886	68	ξ	ξ	X
aiti-5290	886	69	ξ	ξ	X
aiti-5290	886	70	ξ	ξ	X
aiti-5290	886	71	ξ	ξ	X
aiti-5290	886	72	ξ	ξ	X
aiti-5290	886	73	ξ	ξ	X
aiti-5290	886	74	ξ	ξ	X
aiti-5290	886	75	ξ	ξ	X
aiti-5290	886	76	ξ	ξ	X
aiti-5290	886	77	ξ	ξ	X
aiti-5290	886	78	ξ	ξ	X
aiti-5290	886	79	ξ	ξ	X
aiti-5290	886	80	ξ	ξ	X
aiti-5290	886	81	ξ	ξ	X
aiti-5290	886	82	ξ	ξ	X
aiti-5290	886	83	ξ	ξ	X
aiti-5290	886	84	ξ	ξ	X
aiti-5290	886	85	ξ	ξ	X
aiti-5290	886	86	ξ	ξ	X
aiti-5290	886	87	ξ	ξ	PROPN
aiti-5290	886	88	ξ	ξ	X
aiti-5290	886	89	ξ	ξ	PROPN
aiti-5290	887	1	+	+	NOUN
aiti-5290	887	2	−	−	PROPN
aiti-5290	888	1	+	+	CCONJ
aiti-5290	888	2	+	+	PUNCT
aiti-5290	889	1	+	+	PUNCT
aiti-5290	889	2	+	+	PUNCT
aiti-5290	889	3	+	+	PUNCT
aiti-5290	889	4	+	+	PUNCT
aiti-5290	889	5	+	+	PUNCT
aiti-5290	889	6	+	+	PUNCT
aiti-5290	889	7	+	+	PUNCT
aiti-5290	889	8	+	+	PUNCT
aiti-5290	889	9	+	+	PUNCT
aiti-5290	889	10	+	+	PUNCT
aiti-5290	889	11	+	+	PUNCT
aiti-5290	889	12	+	+	PUNCT
aiti-5290	889	13	+	+	PUNCT
aiti-5290	889	14	+	+	PUNCT
aiti-5290	889	15	+	+	PUNCT
aiti-5290	889	16	+	+	CCONJ
aiti-5290	889	17	ɺɺ	ɺɺ	PROPN
aiti-5290	889	18	ɺ	ɺ	PROPN
aiti-5290	889	19	ɶ	ɶ	PROPN
aiti-5290	889	20	ɶ	ɶ	PROPN
aiti-5290	889	21	ɶ	ɶ	PROPN
aiti-5290	889	22	ɶ	ɶ	PROPN
aiti-5290	889	23	ɶ	ɶ	PROPN
aiti-5290	889	24	ɶ	ɶ	PROPN
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aiti-5290	918	39	ξ	ξ	PROPN
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aiti-5290	918	42	+	+	PUNCT
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aiti-5290	960	11	ξ	ξ	PROPN
aiti-5290	960	12	ξ	ξ	X
aiti-5290	960	13	ξ	ξ	X
aiti-5290	960	14	ξ	ξ	X
aiti-5290	960	15	ξ	ξ	X
aiti-5290	960	16	ξ	ξ	X
aiti-5290	960	17	ξ	ξ	X
aiti-5290	960	18	ξ	ξ	X
aiti-5290	960	19	ξ	ξ	X
aiti-5290	960	20	ξ	ξ	X
aiti-5290	960	21	ξ	ξ	X
aiti-5290	960	22	ξ	ξ	X
aiti-5290	960	23	ξ	ξ	X
aiti-5290	960	24	ξ	ξ	X
aiti-5290	960	25	ξ	ξ	X
aiti-5290	960	26	ξ	ξ	X
aiti-5290	960	27	ξ	ξ	X
aiti-5290	960	28	ξ	ξ	X
aiti-5290	960	29	ξ	ξ	X
aiti-5290	960	30	ξ	ξ	X
aiti-5290	960	31	ξ	ξ	X
aiti-5290	960	32	ξ	ξ	X
aiti-5290	960	33	ξ	ξ	X
aiti-5290	960	34	ξ	ξ	X
aiti-5290	960	35	ξ	ξ	X
aiti-5290	960	36	ξ	ξ	X
aiti-5290	960	37	ξ	ξ	X
aiti-5290	960	38	ξ	ξ	X
aiti-5290	960	39	ξ	ξ	PROPN
aiti-5290	960	40	ξ	ξ	X
aiti-5290	960	41	ξ	ξ	PROPN
aiti-5290	960	42	+	+	NOUN
aiti-5290	960	43	−	−	PROPN
aiti-5290	961	1	+	+	CCONJ
aiti-5290	961	2	+	+	PUNCT
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aiti-5290	962	2	+	+	PUNCT
aiti-5290	962	3	+	+	PUNCT
aiti-5290	962	4	+	+	PUNCT
aiti-5290	962	5	+	+	PUNCT
aiti-5290	962	6	+	+	PUNCT
aiti-5290	962	7	+	+	PUNCT
aiti-5290	962	8	+	+	PUNCT
aiti-5290	962	9	+	+	PUNCT
aiti-5290	962	10	+	+	PUNCT
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aiti-5290	962	12	+	+	PUNCT
aiti-5290	962	13	+	+	PUNCT
aiti-5290	962	14	+	+	PUNCT
aiti-5290	962	15	+	+	PUNCT
aiti-5290	962	16	+	+	CCONJ
aiti-5290	962	17	ɺɺ	ɺɺ	PROPN
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aiti-5290	962	19	ɶ	ɶ	PROPN
aiti-5290	962	20	ɶ	ɶ	PROPN
aiti-5290	962	21	ɶ	ɶ	PROPN
aiti-5290	962	22	ɶ	ɶ	PROPN
aiti-5290	962	23	ɶ	ɶ	PROPN
aiti-5290	962	24	ɶ	ɶ	PROPN
aiti-5290	962	25	ɺɺ	ɺɺ	PROPN
aiti-5290	962	26	ɺ	ɺ	PROPN
aiti-5290	962	27	ɺɺ	ɺɺ	PROPN
aiti-5290	962	28	ɺ	ɺ	PROPN
aiti-5290	962	29	ɶ	ɶ	PROPN
aiti-5290	962	30	2	2	NUM
aiti-5290	962	31	2	2	NUM
aiti-5290	962	32	1	1	NUM
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aiti-5290	962	34	2	2	NUM
aiti-5290	962	35	1	1	NUM
aiti-5290	962	36	2	2	NUM
aiti-5290	962	37	1	1	NUM
aiti-5290	962	38	2	2	NUM
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aiti-5290	962	40	2	2	NUM
aiti-5290	962	41	1	1	NUM
aiti-5290	962	42	2	2	NUM
aiti-5290	962	43	1	1	NUM
aiti-5290	962	44	2	2	NUM
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aiti-5290	962	47	1	1	NUM
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aiti-5290	962	49	1	1	NUM
aiti-5290	962	50	1	1	NUM
aiti-5290	962	51	1	1	NUM
aiti-5290	962	52	1	1	NUM
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aiti-5290	963	2	(	(	PUNCT
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aiti-5290	963	6	(	(	PUNCT
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aiti-5290	963	10	(	(	PUNCT
aiti-5290	963	11	2	2	NUM
aiti-5290	963	12	2	2	NUM
aiti-5290	963	13	z	z	NOUN
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aiti-5290	963	20	y	y	PROPN
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aiti-5290	963	28	z	z	NOUN
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aiti-5290	963	30	y	y	PROPN
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aiti-5290	963	42	z	z	NOUN
aiti-5290	963	43	z	z	NOUN
aiti-5290	963	44	z	z	NOUN
aiti-5290	963	45	z	z	NOUN
aiti-5290	963	46	z	z	NOUN
aiti-5290	963	47	y	y	PROPN
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aiti-5290	963	52	c	c	NOUN
aiti-5290	963	53	c	c	X
aiti-5290	963	54	ξ	ξ	X
aiti-5290	963	55	ξ	ξ	X
aiti-5290	963	56	ξ	ξ	X
aiti-5290	963	57	ξ	ξ	X
aiti-5290	963	58	ξ	ξ	X
aiti-5290	963	59	ξ	ξ	X
aiti-5290	963	60	ξ	ξ	X
aiti-5290	963	61	ξ	ξ	X
aiti-5290	963	62	ξ	ξ	X
aiti-5290	963	63	ξ	ξ	X
aiti-5290	963	64	ξ	ξ	X
aiti-5290	963	65	ξ	ξ	X
aiti-5290	963	66	ξ	ξ	X
aiti-5290	963	67	ξ	ξ	X
aiti-5290	963	68	ξ	ξ	X
aiti-5290	963	69	ξ	ξ	X
aiti-5290	963	70	ξ	ξ	X
aiti-5290	963	71	ξ	ξ	X
aiti-5290	963	72	ξ	ξ	X
aiti-5290	963	73	ξ	ξ	X
aiti-5290	963	74	ξ	ξ	X
aiti-5290	963	75	ξ	ξ	X
aiti-5290	963	76	ξ	ξ	X
aiti-5290	963	77	ξ	ξ	X
aiti-5290	963	78	ξ	ξ	X
aiti-5290	963	79	ξ	ξ	X
aiti-5290	963	80	ξ	ξ	X
aiti-5290	963	81	ξ	ξ	X
aiti-5290	963	82	ξ	ξ	X
aiti-5290	963	83	ξ	ξ	X
aiti-5290	963	84	ξ	ξ	X
aiti-5290	963	85	ξ	ξ	X
aiti-5290	963	86	ξ	ξ	X
aiti-5290	963	87	ξ	ξ	X
aiti-5290	963	88	ξ	ξ	X
aiti-5290	963	89	ξ	ξ	PROPN
aiti-5290	963	90	ξ	ξ	X
aiti-5290	963	91	ξ	ξ	PROPN
aiti-5290	963	92	+	+	PUNCT
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aiti-5290	964	2	+	+	PUNCT
aiti-5290	964	3	+	+	PUNCT
aiti-5290	964	4	+	+	PUNCT
aiti-5290	964	5	+	+	PUNCT
aiti-5290	964	6	+	+	PUNCT
aiti-5290	964	7	+	+	PUNCT
aiti-5290	964	8	+	+	PUNCT
aiti-5290	964	9	+	+	PUNCT
aiti-5290	964	10	+	+	PUNCT
aiti-5290	964	11	+	+	PUNCT
aiti-5290	964	12	+	+	PUNCT
aiti-5290	964	13	+	+	PUNCT
aiti-5290	964	14	+	+	PUNCT
aiti-5290	964	15	+	+	PUNCT
aiti-5290	964	16	+	+	PUNCT
aiti-5290	964	17	+	+	CCONJ
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aiti-5290	964	19	ɺɺ	ɺɺ	NOUN
aiti-5290	965	1	ɺ	ɺ	INTJ
aiti-5290	966	1	ɺ	ɺ	INTJ
aiti-5290	967	1	ɺɺ	ɺɺ	INTJ
aiti-5290	968	1	ɺɺ	ɺɺ	PROPN
aiti-5290	968	2	ɺ	ɺ	INTJ
aiti-5290	968	3	ɺ	ɺ	PROPN
aiti-5290	968	4	ɺɺ	ɺɺ	PROPN
aiti-5290	968	5	ɶ	ɶ	PROPN
aiti-5290	969	1	ɺɺ	ɺɺ	PROPN
aiti-5290	970	1	ɺ	ɺ	INTJ
aiti-5290	971	1	ɺɺ	ɺɺ	PROPN
aiti-5290	972	1	ɺ	ɺ	PROPN
aiti-5290	972	2	ɶ	ɶ	PROPN
aiti-5290	972	3	ɺɺ	ɺɺ	PROPN
aiti-5290	972	4	ɺ	ɺ	INTJ
aiti-5290	972	5	ɺɺ	ɺɺ	PROPN
aiti-5290	972	6	ɺ	ɺ	PROPN
aiti-5290	972	7	ɶ	ɶ	PROPN
aiti-5290	972	8	ɺɺ	ɺɺ	PROPN
aiti-5290	973	1	ɺ	ɺ	INTJ
aiti-5290	973	2	ɺ	ɺ	INTJ
aiti-5290	974	1	ɺɺ	ɺɺ	INTJ
aiti-5290	975	1	ɺɺ	ɺɺ	PROPN
aiti-5290	975	2	ɺ	ɺ	PROPN
aiti-5290	975	3	ɺ	ɺ	PROPN
aiti-5290	975	4	1	1	NUM
aiti-5290	975	5	2	2	NUM
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aiti-5290	975	7	2	2	NUM
aiti-5290	975	8	2	2	NUM
aiti-5290	975	9	2	2	NUM
aiti-5290	975	10	2	2	NUM
aiti-5290	975	11	2	2	NUM
aiti-5290	975	12	2	2	NUM
aiti-5290	975	13	2	2	NUM
aiti-5290	975	14	2	2	NUM
aiti-5290	975	15	2	2	NUM
aiti-5290	975	16	24	24	NUM
aiti-5290	975	17	1	1	NUM
aiti-5290	975	18	2	2	NUM
aiti-5290	975	19	2	2	NUM
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aiti-5290	975	21	20	20	NUM
aiti-5290	975	22	)	)	PUNCT
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aiti-5290	976	1	[	[	PUNCT
aiti-5290	976	2	(	(	PUNCT
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aiti-5290	976	4	]	]	PUNCT
aiti-5290	976	5	ˆz	ˆz	PROPN
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aiti-5290	976	9	z	z	PROPN
aiti-5290	976	10	z	z	NOUN
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aiti-5290	976	12	y	y	PROPN
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aiti-5290	977	1	y	y	INTJ
aiti-5290	978	1	i	i	PRON
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aiti-5290	978	4	a	a	DET
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aiti-5290	979	3	q	q	X
aiti-5290	980	1	e	e	NOUN
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aiti-5290	980	5	ξ	ξ	PROPN
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aiti-5290	980	7	ξ	ξ	X
aiti-5290	980	8	ξ	ξ	X
aiti-5290	980	9	ξ	ξ	X
aiti-5290	980	10	ξ	ξ	PROPN
aiti-5290	980	11	ξ	ξ	X
aiti-5290	980	12	ξ	ξ	X
aiti-5290	980	13	ϕω	ϕω	X
aiti-5290	981	1	+	+	CCONJ
aiti-5290	981	2	+	+	PUNCT
aiti-5290	982	1	+	+	PUNCT
aiti-5290	982	2	+	+	CCONJ
aiti-5290	982	3	=	=	SYM
aiti-5290	983	1	+	+	NUM
aiti-5290	984	1	∫	∫	PROPN
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aiti-5290	984	4	ɺɺ	ɺɺ	PROPN
aiti-5290	984	5	ɺ	ɺ	INTJ
aiti-5290	985	1	ɺɺ	ɺɺ	PROPN
aiti-5290	986	1	ɺ	ɺ	PROPN
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aiti-5290	986	4	(	(	PUNCT
aiti-5290	986	5	90	90	NUM
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aiti-5290	987	4	87)-(90	87)-(90	NOUN
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aiti-5290	988	1	(	(	PUNCT
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aiti-5290	988	12	e	e	NOUN
aiti-5290	988	13	�	�	PROPN
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aiti-5290	988	17	�	�	PROPN
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aiti-5290	988	19	)	)	PUNCT
aiti-5290	988	20	(	(	PUNCT
aiti-5290	988	21	b	b	X
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aiti-5290	988	23	y	y	NOUN
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aiti-5290	988	25	dir	dir	PROPN
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aiti-5290	988	27	,	,	PUNCT
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aiti-5290	988	29	mode	mode	NOUN
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aiti-5290	988	31	e	e	NOUN
aiti-5290	988	32	�	�	PROPN
aiti-5290	988	33	6	6	NUM
aiti-5290	988	34	and	and	CCONJ
aiti-5290	988	35	ei	ei	NOUN
aiti-5290	988	36	�	�	PROPN
aiti-5290	988	37	6	6	NUM
aiti-5290	988	38	)	)	PUNCT
aiti-5290	988	39	fig	fig	NOUN
aiti-5290	988	40	.	.	PUNCT
aiti-5290	988	41	8	8	NUM
aiti-5290	988	42	phase	phase	NOUN
aiti-5290	988	43	plot	plot	NOUN
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aiti-5290	988	45	diameter	diameter	NOUN
aiti-5290	988	46	ratio	ratio	NOUN
aiti-5290	988	47	=	=	SYM
aiti-5290	988	48	1/0.75	1/0.75	NUM
aiti-5290	988	49	,	,	PUNCT
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aiti-5290	988	59	dir	dir	PROPN
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aiti-5290	988	62	1st	1st	ADJ
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aiti-5290	988	64	(	(	PUNCT
aiti-5290	988	65	a	a	NOUN
aiti-5290	988	66	)	)	PUNCT
aiti-5290	988	67	y	y	NOUN
aiti-5290	988	68	-	-	PUNCT
aiti-5290	988	69	dir	dir	PROPN
aiti-5290	988	70	.	.	PUNCT
aiti-5290	988	71	,	,	PUNCT
aiti-5290	988	72	1st	1st	ADJ
aiti-5290	988	73	mode	mode	NOUN
aiti-5290	988	74	(	(	PUNCT
aiti-5290	988	75	e	e	NOUN
aiti-5290	988	76	�	�	PROPN
aiti-5290	988	77	0	0	NUM
aiti-5290	988	78	and	and	CCONJ
aiti-5290	988	79	ei	ei	NOUN
aiti-5290	988	80	�	�	PROPN
aiti-5290	988	81	0	0	NUM
aiti-5290	988	82	)	)	PUNCT
aiti-5290	988	83	(	(	PUNCT
aiti-5290	988	84	b	b	X
aiti-5290	988	85	)	)	PUNCT
aiti-5290	988	86	y	y	NOUN
aiti-5290	988	87	-	-	PUNCT
aiti-5290	988	88	dir	dir	PROPN
aiti-5290	988	89	.	.	PUNCT
aiti-5290	988	90	,	,	PUNCT
aiti-5290	988	91	2nd	2nd	ADJ
aiti-5290	988	92	mode	mode	NOUN
aiti-5290	988	93	(	(	PUNCT
aiti-5290	988	94	e	e	NOUN
aiti-5290	988	95	�	�	PROPN
aiti-5290	988	96	6	6	NUM
aiti-5290	988	97	and	and	CCONJ
aiti-5290	988	98	ei	ei	NOUN
aiti-5290	988	99	�	�	PROPN
aiti-5290	988	100	6	6	NUM
aiti-5290	988	101	)	)	PUNCT
aiti-5290	988	102	fig	fig	NOUN
aiti-5290	988	103	.	.	PUNCT
aiti-5290	988	104	9	9	NUM
aiti-5290	988	105	phase	phase	NOUN
aiti-5290	988	106	plot	plot	NOUN
aiti-5290	988	107	of	of	ADP
aiti-5290	988	108	diameter	diameter	NOUN
aiti-5290	988	109	ratio	ratio	NOUN
aiti-5290	988	110	=	=	SYM
aiti-5290	988	111	1/0.75	1/0.75	NUM
aiti-5290	988	112	,	,	PUNCT
aiti-5290	988	113	j	j	PROPN
aiti-5290	988	114	=	=	PROPN
aiti-5290	988	115	k.	k.	PROPN
aiti-5290	988	116	mn	mn	PROPN
aiti-5290	988	117	,	,	PUNCT
aiti-5290	988	118	exciting	exciting	ADJ
aiti-5290	988	119	the	the	DET
aiti-5290	988	120	y	y	PROPN
aiti-5290	988	121	-	-	PUNCT
aiti-5290	988	122	dir	dir	PROPN
aiti-5290	988	123	.	.	PUNCT
aiti-5290	988	124	,	,	PUNCT
aiti-5290	988	125	1st	1st	ADJ
aiti-5290	988	126	mode	mode	NOUN
aiti-5290	988	127	the	the	DET
aiti-5290	988	128	phase	phase	NOUN
aiti-5290	988	129	plots	plot	NOUN
aiti-5290	988	130	are	be	AUX
aiti-5290	988	131	shown	show	VERB
aiti-5290	988	132	in	in	ADP
aiti-5290	988	133	figs	fig	NOUN
aiti-5290	988	134	.	.	PUNCT
aiti-5290	989	1	8	8	NUM
aiti-5290	989	2	-	-	SYM
aiti-5290	989	3	11	11	NUM
aiti-5290	989	4	.	.	PUNCT
aiti-5290	990	1	it	it	PRON
aiti-5290	990	2	is	be	AUX
aiti-5290	990	3	recorded	record	VERB
aiti-5290	990	4	that	that	SCONJ
aiti-5290	990	5	figs	fig	NOUN
aiti-5290	990	6	.	.	PUNCT
aiti-5290	991	1	8	8	NUM
aiti-5290	991	2	-	-	SYM
aiti-5290	991	3	9	9	NUM
aiti-5290	991	4	are	be	AUX
aiti-5290	991	5	the	the	DET
aiti-5290	991	6	cases	case	NOUN
aiti-5290	991	7	for	for	SCONJ
aiti-5290	991	8	the	the	DET
aiti-5290	991	9	1st	1st	ADJ
aiti-5290	991	10	mode	mode	NOUN
aiti-5290	991	11	excited	excited	ADJ
aiti-5290	991	12	(	(	PUNCT
aiti-5290	991	13	the	the	DET
aiti-5290	991	14	excitation	excitation	NOUN
aiti-5290	991	15	frequency	frequency	NOUN
aiti-5290	991	16	is	be	AUX
aiti-5290	991	17	the	the	DET
aiti-5290	991	18	1st	1st	ADJ
aiti-5290	991	19	mode	mode	NOUN
aiti-5290	991	20	’s	’s	PART
aiti-5290	991	21	natural	natural	ADJ
aiti-5290	991	22	frequency	frequency	NOUN
aiti-5290	991	23	)	)	PUNCT
aiti-5290	991	24	.	.	PUNCT
aiti-5290	992	1	figs	fig	NOUN
aiti-5290	992	2	.	.	PUNCT
aiti-5290	993	1	10	10	NUM
aiti-5290	993	2	-	-	SYM
aiti-5290	993	3	11	11	NUM
aiti-5290	993	4	are	be	AUX
aiti-5290	993	5	the	the	DET
aiti-5290	993	6	cases	case	NOUN
aiti-5290	993	7	for	for	SCONJ
aiti-5290	993	8	the	the	DET
aiti-5290	993	9	2nd	2nd	ADJ
aiti-5290	993	10	mode	mode	NOUN
aiti-5290	993	11	excited	excited	ADJ
aiti-5290	993	12	(	(	PUNCT
aiti-5290	993	13	the	the	DET
aiti-5290	993	14	excitation	excitation	NOUN
aiti-5290	993	15	frequency	frequency	NOUN
aiti-5290	993	16	is	be	AUX
aiti-5290	993	17	the	the	DET
aiti-5290	993	18	1st	1st	ADJ
aiti-5290	993	19	mode	mode	NOUN
aiti-5290	993	20	’s	’s	PART
aiti-5290	993	21	natural	natural	ADJ
aiti-5290	993	22	frequency	frequency	NOUN
aiti-5290	993	23	)	)	PUNCT
aiti-5290	993	24	.	.	PUNCT
aiti-5290	994	1	the	the	DET
aiti-5290	994	2	displ	displ	ADJ
aiti-5290	994	3	.	.	PUNCT
aiti-5290	994	4	and	and	CCONJ
aiti-5290	994	5	vel	vel	ADJ
aiti-5290	994	6	.	.	PUNCT
aiti-5290	994	7	represent	represent	VERB
aiti-5290	994	8	the	the	DET
aiti-5290	994	9	e	e	PROPN
aiti-5290	994	10	�	�	PROPN
aiti-5290	994	11	0,	0,	NUM
aiti-5290	994	12	�	�	PROPN
aiti-5290	994	13	6,	6,	NOUN
aiti-5290	994	14	�	�	PROPN
aiti-5290	994	15	0	0	NUM
aiti-5290	994	16	and	and	CCONJ
aiti-5290	994	17	ei	ei	PROPN
aiti-5290	994	18	�	�	PROPN
aiti-5290	994	19	0,	0,	NUM
aiti-5290	994	20	�	�	PROPN
aiti-5290	994	21	6,	6,	NOUN
aiti-5290	994	22	�	�	NOUN
aiti-5290	994	23	0	0	NUM
aiti-5290	994	24	,	,	PUNCT
aiti-5290	994	25	respectively	respectively	ADV
aiti-5290	994	26	.	.	PUNCT
aiti-5290	995	1	the	the	DET
aiti-5290	995	2	converged	converge	VERB
aiti-5290	995	3	displacements	displacement	NOUN
aiti-5290	995	4	in	in	ADP
aiti-5290	995	5	time	time	NOUN
aiti-5290	995	6	domain	domain	NOUN
aiti-5290	995	7	in	in	ADP
aiti-5290	995	8	figs	fig	NOUN
aiti-5290	995	9	.	.	PUNCT
aiti-5290	996	1	8	8	NUM
aiti-5290	996	2	-	-	SYM
aiti-5290	996	3	11	11	NUM
aiti-5290	996	4	agree	agree	VERB
aiti-5290	996	5	with	with	ADP
aiti-5290	996	6	the	the	DET
aiti-5290	996	7	amplitudes	amplitude	NOUN
aiti-5290	996	8	form	form	VERB
aiti-5290	996	9	fixed	fix	VERB
aiti-5290	996	10	point	point	NOUN
aiti-5290	996	11	plots	plot	NOUN
aiti-5290	996	12	and	and	CCONJ
aiti-5290	996	13	show	show	VERB
aiti-5290	996	14	the	the	DET
aiti-5290	996	15	i.r	i.r	PROPN
aiti-5290	996	16	.	.	PROPN
aiti-5290	996	17	happens	happen	VERB
aiti-5290	996	18	in	in	ADP
aiti-5290	996	19	these	these	DET
aiti-5290	996	20	cases	case	NOUN
aiti-5290	996	21	.	.	PUNCT
aiti-5290	997	1	advances	advance	NOUN
aiti-5290	997	2	in	in	ADP
aiti-5290	997	3	technology	technology	NOUN
aiti-5290	997	4	innovation	innovation	NOUN
aiti-5290	997	5	,	,	PUNCT
aiti-5290	997	6	vol	vol	NOUN
aiti-5290	997	7	.	.	PROPN
aiti-5290	997	8	5	5	NUM
aiti-5290	997	9	,	,	PUNCT
aiti-5290	997	10	no	no	INTJ
aiti-5290	997	11	.	.	NOUN
aiti-5290	997	12	4	4	NUM
aiti-5290	997	13	,	,	PUNCT
aiti-5290	997	14	2020	2020	NUM
aiti-5290	997	15	,	,	PUNCT
aiti-5290	997	16	pp	pp	ADV
aiti-5290	997	17	.	.	PUNCT
aiti-5290	998	1	270	270	NUM
aiti-5290	998	2	-	-	SYM
aiti-5290	998	3	291	291	NUM
aiti-5290	998	4	285	285	NUM
aiti-5290	998	5	(	(	PUNCT
aiti-5290	998	6	a	a	NOUN
aiti-5290	998	7	)	)	PUNCT
aiti-5290	998	8	y	y	NOUN
aiti-5290	998	9	-	-	PUNCT
aiti-5290	998	10	dir	dir	PROPN
aiti-5290	998	11	.	.	PUNCT
aiti-5290	998	12	,	,	PUNCT
aiti-5290	998	13	1st	1st	ADJ
aiti-5290	998	14	mode	mode	NOUN
aiti-5290	998	15	(	(	PUNCT
aiti-5290	998	16	e	e	NOUN
aiti-5290	998	17	�	�	PROPN
aiti-5290	998	18	0	0	NUM
aiti-5290	998	19	and	and	CCONJ
aiti-5290	998	20	ei	ei	NOUN
aiti-5290	998	21	�	�	PROPN
aiti-5290	998	22	0	0	NUM
aiti-5290	998	23	)	)	PUNCT
aiti-5290	998	24	(	(	PUNCT
aiti-5290	998	25	b	b	X
aiti-5290	998	26	)	)	PUNCT
aiti-5290	998	27	y	y	NOUN
aiti-5290	998	28	-	-	PUNCT
aiti-5290	998	29	dir	dir	PROPN
aiti-5290	998	30	.	.	PUNCT
aiti-5290	998	31	,	,	PUNCT
aiti-5290	998	32	2nd	2nd	ADJ
aiti-5290	998	33	mode	mode	NOUN
aiti-5290	998	34	(	(	PUNCT
aiti-5290	998	35	e	e	NOUN
aiti-5290	998	36	�	�	PROPN
aiti-5290	998	37	6	6	NUM
aiti-5290	998	38	and	and	CCONJ
aiti-5290	998	39	ei	ei	NOUN
aiti-5290	998	40	�	�	PROPN
aiti-5290	998	41	6	6	NUM
aiti-5290	998	42	)	)	PUNCT
aiti-5290	998	43	(	(	PUNCT
aiti-5290	998	44	c	c	X
aiti-5290	998	45	)	)	PUNCT
aiti-5290	998	46	z	z	NOUN
aiti-5290	998	47	-	-	PUNCT
aiti-5290	998	48	dir	dir	PROPN
aiti-5290	998	49	.	.	PUNCT
aiti-5290	998	50	,	,	PUNCT
aiti-5290	998	51	1st	1st	ADJ
aiti-5290	998	52	mode	mode	NOUN
aiti-5290	998	53	(	(	PUNCT
aiti-5290	998	54	e	e	NOUN
aiti-5290	998	55	�	�	PROPN
aiti-5290	998	56	0	0	NUM
aiti-5290	998	57	and	and	CCONJ
aiti-5290	998	58	ei	ei	PROPN
aiti-5290	998	59	�	�	PROPN
aiti-5290	998	60	0	0	NUM
aiti-5290	998	61	)	)	PUNCT
aiti-5290	998	62	fig	fig	NOUN
aiti-5290	998	63	.	.	PUNCT
aiti-5290	999	1	10	10	NUM
aiti-5290	999	2	phase	phase	NOUN
aiti-5290	999	3	plot	plot	NOUN
aiti-5290	999	4	of	of	ADP
aiti-5290	999	5	diameter	diameter	NOUN
aiti-5290	999	6	ratio	ratio	NOUN
aiti-5290	999	7	=	=	SYM
aiti-5290	999	8	1/0.75	1/0.75	NUM
aiti-5290	999	9	,	,	PUNCT
aiti-5290	999	10	j	j	PROPN
aiti-5290	999	11	=	=	PROPN
aiti-5290	999	12	k.	k.	PROPN
aiti-5290	1000	1	ll	ll	PROPN
aiti-5290	1000	2	,	,	PUNCT
aiti-5290	1000	3	y	y	PROPN
aiti-5290	1000	4	-	-	PUNCT
aiti-5290	1000	5	dir	dir	PROPN
aiti-5290	1000	6	.	.	PUNCT
aiti-5290	1000	7	,	,	PUNCT
aiti-5290	1000	8	exciting	exciting	ADJ
aiti-5290	1000	9	the	the	DET
aiti-5290	1000	10	2nd	2nd	ADJ
aiti-5290	1000	11	mode	mode	NOUN
aiti-5290	1000	12	it	it	PRON
aiti-5290	1000	13	is	be	AUX
aiti-5290	1000	14	noted	note	VERB
aiti-5290	1000	15	that	that	SCONJ
aiti-5290	1000	16	the	the	DET
aiti-5290	1000	17	frequency	frequency	NOUN
aiti-5290	1000	18	analysis	analysis	NOUN
aiti-5290	1000	19	of	of	ADP
aiti-5290	1000	20	the	the	DET
aiti-5290	1000	21	uniform	uniform	ADJ
aiti-5290	1000	22	beam	beam	NOUN
aiti-5290	1000	23	can	can	AUX
aiti-5290	1000	24	also	also	ADV
aiti-5290	1000	25	be	be	AUX
aiti-5290	1000	26	done	do	VERB
aiti-5290	1000	27	by	by	ADP
aiti-5290	1000	28	using	use	VERB
aiti-5290	1000	29	eqs	eqs	PROPN
aiti-5290	1000	30	.	.	PUNCT
aiti-5290	1001	1	(	(	PUNCT
aiti-5290	1001	2	8)-(10	8)-(10	NUM
aiti-5290	1001	3	)	)	PUNCT
aiti-5290	1001	4	and	and	CCONJ
aiti-5290	1001	5	apply	apply	VERB
aiti-5290	1001	6	moms	mom	NOUN
aiti-5290	1001	7	,	,	PUNCT
aiti-5290	1001	8	select	select	VERB
aiti-5290	1001	9	the	the	DET
aiti-5290	1001	10	secular	secular	ADJ
aiti-5290	1001	11	terms	term	NOUN
aiti-5290	1001	12	for	for	ADP
aiti-5290	1001	13	different	different	ADJ
aiti-5290	1001	14	harmonics	harmonic	NOUN
aiti-5290	1001	15	of	of	ADP
aiti-5290	1001	16	different	different	ADJ
aiti-5290	1001	17	modes	mode	NOUN
aiti-5290	1001	18	and	and	CCONJ
aiti-5290	1001	19	solve	solve	VERB
aiti-5290	1001	20	the	the	DET
aiti-5290	1001	21	solvability	solvability	NOUN
aiti-5290	1001	22	conditions	condition	NOUN
aiti-5290	1001	23	to	to	PART
aiti-5290	1001	24	make	make	VERB
aiti-5290	1001	25	the	the	DET
aiti-5290	1001	26	fixed	fix	VERB
aiti-5290	1001	27	point	point	NOUN
aiti-5290	1001	28	plots	plot	NOUN
aiti-5290	1001	29	,	,	PUNCT
aiti-5290	1001	30	since	since	SCONJ
aiti-5290	1001	31	the	the	DET
aiti-5290	1001	32	procedure	procedure	NOUN
aiti-5290	1001	33	is	be	AUX
aiti-5290	1001	34	similar	similar	ADJ
aiti-5290	1001	35	to	to	ADP
aiti-5290	1001	36	the	the	DET
aiti-5290	1001	37	case	case	NOUN
aiti-5290	1001	38	of	of	ADP
aiti-5290	1001	39	double	double	ADJ
aiti-5290	1001	40	-	-	PUNCT
aiti-5290	1001	41	section	section	NOUN
aiti-5290	1001	42	beam	beam	NOUN
aiti-5290	1001	43	,	,	PUNCT
aiti-5290	1001	44	and	and	CCONJ
aiti-5290	1001	45	will	will	AUX
aiti-5290	1001	46	not	not	PART
aiti-5290	1001	47	detail	detail	VERB
aiti-5290	1001	48	here	here	ADV
aiti-5290	1001	49	.	.	PUNCT
aiti-5290	1002	1	(	(	PUNCT
aiti-5290	1002	2	a	a	X
aiti-5290	1002	3	)	)	PUNCT
aiti-5290	1002	4	y	y	NOUN
aiti-5290	1002	5	-	-	PUNCT
aiti-5290	1002	6	dir	dir	PROPN
aiti-5290	1002	7	.	.	PUNCT
aiti-5290	1002	8	,	,	PUNCT
aiti-5290	1002	9	1st	1st	ADJ
aiti-5290	1002	10	mode	mode	NOUN
aiti-5290	1002	11	(	(	PUNCT
aiti-5290	1002	12	e	e	NOUN
aiti-5290	1002	13	�	�	PROPN
aiti-5290	1002	14	0	0	NUM
aiti-5290	1002	15	and	and	CCONJ
aiti-5290	1002	16	ei	ei	NOUN
aiti-5290	1002	17	�	�	PROPN
aiti-5290	1002	18	0	0	NUM
aiti-5290	1002	19	)	)	PUNCT
aiti-5290	1002	20	(	(	PUNCT
aiti-5290	1002	21	b	b	X
aiti-5290	1002	22	)	)	PUNCT
aiti-5290	1002	23	y	y	NOUN
aiti-5290	1002	24	-	-	PUNCT
aiti-5290	1002	25	dir	dir	PROPN
aiti-5290	1002	26	.	.	PUNCT
aiti-5290	1002	27	,	,	PUNCT
aiti-5290	1002	28	2nd	2nd	ADJ
aiti-5290	1002	29	mode	mode	NOUN
aiti-5290	1002	30	(	(	PUNCT
aiti-5290	1002	31	e	e	NOUN
aiti-5290	1002	32	�	�	PROPN
aiti-5290	1002	33	6	6	NUM
aiti-5290	1002	34	and	and	CCONJ
aiti-5290	1002	35	ei	ei	NOUN
aiti-5290	1002	36	�	�	PROPN
aiti-5290	1002	37	6	6	NUM
aiti-5290	1002	38	)	)	PUNCT
aiti-5290	1002	39	(	(	PUNCT
aiti-5290	1002	40	c	c	X
aiti-5290	1002	41	)	)	PUNCT
aiti-5290	1002	42	z	z	NOUN
aiti-5290	1002	43	-	-	PUNCT
aiti-5290	1002	44	dir	dir	PROPN
aiti-5290	1002	45	.	.	PUNCT
aiti-5290	1002	46	,	,	PUNCT
aiti-5290	1002	47	1st	1st	ADJ
aiti-5290	1002	48	mode	mode	NOUN
aiti-5290	1002	49	(	(	PUNCT
aiti-5290	1002	50	e	e	NOUN
aiti-5290	1002	51	�	�	PROPN
aiti-5290	1002	52	0	0	NUM
aiti-5290	1002	53	and	and	CCONJ
aiti-5290	1002	54	ei	ei	PROPN
aiti-5290	1002	55	�	�	PROPN
aiti-5290	1002	56	0	0	NUM
aiti-5290	1002	57	)	)	PUNCT
aiti-5290	1002	58	fig	fig	NOUN
aiti-5290	1002	59	.	.	PUNCT
aiti-5290	1003	1	11	11	NUM
aiti-5290	1003	2	phase	phase	NOUN
aiti-5290	1003	3	plot	plot	NOUN
aiti-5290	1003	4	of	of	ADP
aiti-5290	1003	5	diameter	diameter	NOUN
aiti-5290	1003	6	ratio	ratio	NOUN
aiti-5290	1003	7	=	=	SYM
aiti-5290	1003	8	1/0.75	1/0.75	NUM
aiti-5290	1003	9	,	,	PUNCT
aiti-5290	1003	10	j	j	PROPN
aiti-5290	1003	11	=	=	PROPN
aiti-5290	1003	12	k.	k.	PROPN
aiti-5290	1003	13	mn	mn	PROPN
aiti-5290	1003	14	,	,	PUNCT
aiti-5290	1003	15	y	y	PROPN
aiti-5290	1003	16	-	-	PUNCT
aiti-5290	1003	17	dir	dir	PROPN
aiti-5290	1003	18	.	.	PUNCT
aiti-5290	1003	19	,	,	PUNCT
aiti-5290	1003	20	exciting	exciting	ADJ
aiti-5290	1003	21	the	the	DET
aiti-5290	1003	22	2nd	2nd	ADJ
aiti-5290	1003	23	mode	mode	NOUN
aiti-5290	1003	24	4	4	NUM
aiti-5290	1003	25	.	.	PUNCT
aiti-5290	1004	1	wind	wind	NOUN
aiti-5290	1004	2	pressure	pressure	NOUN
aiti-5290	1004	3	effects	effect	NOUN
aiti-5290	1004	4	4.1	4.1	NUM
aiti-5290	1004	5	.	.	PUNCT
aiti-5290	1005	1	diameter	diameter	NOUN
aiti-5290	1005	2	ratio	ratio	NOUN
aiti-5290	1005	3	and	and	CCONJ
aiti-5290	1005	4	length	length	NOUN
aiti-5290	1005	5	ratio	ratio	NOUN
aiti-5290	1005	6	section	section	NOUN
aiti-5290	1005	7	3.2	3.2	NUM
aiti-5290	1005	8	showed	show	VERB
aiti-5290	1005	9	that	that	SCONJ
aiti-5290	1005	10	when	when	SCONJ
aiti-5290	1005	11	the	the	DET
aiti-5290	1005	12	diameter	diameter	NOUN
aiti-5290	1005	13	ratio	ratio	PROPN
aiti-5290	1005	14	�	�	PROPN
aiti-5290	1005	15	̅0/	̅0/	PROPN
aiti-5290	1005	16	�	�	PROPN
aiti-5290	1005	17	̅6	̅6	NOUN
aiti-5290	1005	18	=	=	SYM
aiti-5290	1005	19	1/0.75	1/0.75	NUM
aiti-5290	1005	20	and	and	CCONJ
aiti-5290	1005	21	the	the	DET
aiti-5290	1005	22	length	length	NOUN
aiti-5290	1005	23	ratio	ratio	NOUN
aiti-5290	1005	24	5	5	NUM
aiti-5290	1005	25	=	=	SYM
aiti-5290	1005	26	0.33&0.51	0.33&0.51	PROPN
aiti-5290	1005	27	,	,	PUNCT
aiti-5290	1005	28	the	the	DET
aiti-5290	1005	29	1:3	1:3	NUM
aiti-5290	1005	30	i.r	i.r	PROPN
aiti-5290	1005	31	.	.	PROPN
aiti-5290	1005	32	internal	internal	ADJ
aiti-5290	1005	33	resonance	resonance	NOUN
aiti-5290	1005	34	occurs	occur	VERB
aiti-5290	1005	35	in	in	ADP
aiti-5290	1005	36	the	the	DET
aiti-5290	1005	37	1st	1st	ADJ
aiti-5290	1005	38	and	and	CCONJ
aiti-5290	1005	39	2nd	2nd	ADJ
aiti-5290	1005	40	modes	mode	NOUN
aiti-5290	1005	41	.	.	PUNCT
aiti-5290	1006	1	various	various	ADJ
aiti-5290	1006	2	diameter	diameter	NOUN
aiti-5290	1006	3	ratios	ratio	NOUN
aiti-5290	1006	4	from	from	ADP
aiti-5290	1006	5	1/0.6	1/0.6	NUM
aiti-5290	1006	6	to	to	ADP
aiti-5290	1006	7	1/0.9	1/0.9	NUM
aiti-5290	1006	8	will	will	AUX
aiti-5290	1006	9	be	be	AUX
aiti-5290	1006	10	discussed	discuss	VERB
aiti-5290	1006	11	in	in	ADP
aiti-5290	1006	12	this	this	DET
aiti-5290	1006	13	section	section	NOUN
aiti-5290	1006	14	.	.	PUNCT
aiti-5290	1007	1	fig	fig	NOUN
aiti-5290	1007	2	.	.	PUNCT
aiti-5290	1008	1	12	12	NUM
aiti-5290	1008	2	shows	show	VERB
aiti-5290	1008	3	that	that	SCONJ
aiti-5290	1008	4	when	when	SCONJ
aiti-5290	1008	5	the	the	DET
aiti-5290	1008	6	diameter	diameter	NOUN
aiti-5290	1008	7	ratios	ratio	NOUN
aiti-5290	1008	8	are	be	AUX
aiti-5290	1008	9	less	less	ADJ
aiti-5290	1008	10	than	than	ADP
aiti-5290	1008	11	1/0.78	1/0.78	NUM
aiti-5290	1008	12	,	,	PUNCT
aiti-5290	1008	13	there	there	PRON
aiti-5290	1008	14	will	will	AUX
aiti-5290	1008	15	be	be	AUX
aiti-5290	1008	16	no	no	DET
aiti-5290	1008	17	i.r	i.r	PROPN
aiti-5290	1008	18	.	.	PROPN
aiti-5290	1008	19	when	when	SCONJ
aiti-5290	1008	20	the	the	DET
aiti-5290	1008	21	diameter	diameter	NOUN
aiti-5290	1008	22	ratios	ratio	NOUN
aiti-5290	1008	23	are	be	AUX
aiti-5290	1008	24	greater	great	ADJ
aiti-5290	1008	25	than	than	ADP
aiti-5290	1008	26	1/0.78	1/0.78	NUM
aiti-5290	1008	27	,	,	PUNCT
aiti-5290	1008	28	there	there	PRON
aiti-5290	1008	29	will	will	AUX
aiti-5290	1008	30	be	be	AUX
aiti-5290	1008	31	two	two	NUM
aiti-5290	1008	32	possible	possible	ADJ
aiti-5290	1008	33	combinations	combination	NOUN
aiti-5290	1008	34	for	for	ADP
aiti-5290	1008	35	the	the	DET
aiti-5290	1008	36	length	length	NOUN
aiti-5290	1008	37	ratios	ratio	NOUN
aiti-5290	1008	38	to	to	PART
aiti-5290	1008	39	trigger	trigger	VERB
aiti-5290	1008	40	i.r	i.r	PROPN
aiti-5290	1008	41	.	.	PROPN
aiti-5290	1009	1	since	since	SCONJ
aiti-5290	1009	2	there	there	PRON
aiti-5290	1009	3	is	be	VERB
aiti-5290	1009	4	no	no	DET
aiti-5290	1009	5	integer	integer	NOUN
aiti-5290	1009	6	multiple	multiple	NOUN
aiti-5290	1009	7	of	of	ADP
aiti-5290	1009	8	the	the	DET
aiti-5290	1009	9	frequency	frequency	NOUN
aiti-5290	1009	10	ratio	ratio	NOUN
aiti-5290	1009	11	for	for	ADP
aiti-5290	1009	12	the	the	DET
aiti-5290	1009	13	first	first	ADJ
aiti-5290	1009	14	3	3	NUM
aiti-5290	1009	15	modes	mode	NOUN
aiti-5290	1009	16	in	in	ADP
aiti-5290	1009	17	the	the	DET
aiti-5290	1009	18	uniform	uniform	NOUN
aiti-5290	1009	19	beam	beam	NOUN
aiti-5290	1009	20	,	,	PUNCT
aiti-5290	1009	21	the	the	DET
aiti-5290	1009	22	i.r	i.r	PROPN
aiti-5290	1009	23	.	.	PROPN
aiti-5290	1009	24	will	will	AUX
aiti-5290	1009	25	not	not	PART
aiti-5290	1009	26	occur	occur	VERB
aiti-5290	1009	27	.	.	PUNCT
aiti-5290	1010	1	however	however	ADV
aiti-5290	1010	2	,	,	PUNCT
aiti-5290	1010	3	the	the	DET
aiti-5290	1010	4	primary	primary	ADJ
aiti-5290	1010	5	resonance	resonance	NOUN
aiti-5290	1010	6	will	will	AUX
aiti-5290	1010	7	be	be	AUX
aiti-5290	1010	8	examined	examine	VERB
aiti-5290	1010	9	for	for	ADP
aiti-5290	1010	10	the	the	DET
aiti-5290	1010	11	uniform	uniform	ADJ
aiti-5290	1010	12	beam	beam	NOUN
aiti-5290	1010	13	in	in	ADP
aiti-5290	1010	14	the	the	DET
aiti-5290	1010	15	following	follow	VERB
aiti-5290	1010	16	section	section	NOUN
aiti-5290	1010	17	.	.	PUNCT
aiti-5290	1011	1	4.2	4.2	NUM
aiti-5290	1011	2	.	.	PUNCT
aiti-5290	1012	1	wind	wind	NOUN
aiti-5290	1012	2	pressure	pressure	NOUN
aiti-5290	1012	3	and	and	CCONJ
aiti-5290	1012	4	the	the	DET
aiti-5290	1012	5	beam	beam	NOUN
aiti-5290	1012	6	amplitude	amplitude	NOUN
aiti-5290	1012	7	section	section	NOUN
aiti-5290	1012	8	4.1	4.1	NUM
aiti-5290	1012	9	finds	find	VERB
aiti-5290	1012	10	that	that	SCONJ
aiti-5290	1012	11	the	the	DET
aiti-5290	1012	12	i.r	i.r	PROPN
aiti-5290	1012	13	.	.	PROPN
aiti-5290	1012	14	could	could	AUX
aiti-5290	1012	15	be	be	AUX
aiti-5290	1012	16	triggered	trigger	VERB
aiti-5290	1012	17	in	in	ADP
aiti-5290	1012	18	some	some	DET
aiti-5290	1012	19	certain	certain	ADJ
aiti-5290	1012	20	combinations	combination	NOUN
aiti-5290	1012	21	of	of	ADP
aiti-5290	1012	22	diameter	diameter	NOUN
aiti-5290	1012	23	ratios	ratio	NOUN
aiti-5290	1012	24	and	and	CCONJ
aiti-5290	1012	25	beam	beam	NOUN
aiti-5290	1012	26	sectional	sectional	ADJ
aiti-5290	1012	27	length	length	NOUN
aiti-5290	1012	28	ratios	ratio	NOUN
aiti-5290	1012	29	.	.	PUNCT
aiti-5290	1013	1	the	the	DET
aiti-5290	1013	2	i.r	i.r	PROPN
aiti-5290	1013	3	.	.	PROPN
aiti-5290	1013	4	can	can	AUX
aiti-5290	1013	5	not	not	PART
aiti-5290	1013	6	happen	happen	VERB
aiti-5290	1013	7	in	in	ADP
aiti-5290	1013	8	the	the	DET
aiti-5290	1013	9	uniform	uniform	ADJ
aiti-5290	1013	10	beam	beam	NOUN
aiti-5290	1013	11	,	,	PUNCT
aiti-5290	1013	12	because	because	SCONJ
aiti-5290	1013	13	there	there	PRON
aiti-5290	1013	14	is	be	VERB
aiti-5290	1013	15	no	no	DET
aiti-5290	1013	16	integer	integer	NOUN
aiti-5290	1013	17	multiple	multiple	NOUN
aiti-5290	1013	18	of	of	ADP
aiti-5290	1013	19	frequency	frequency	NOUN
aiti-5290	1013	20	ratios	ratio	NOUN
aiti-5290	1013	21	.	.	PUNCT
aiti-5290	1014	1	next	next	ADJ
aiti-5290	1014	2	step	step	NOUN
aiti-5290	1014	3	is	be	AUX
aiti-5290	1014	4	to	to	PART
aiti-5290	1014	5	study	study	VERB
aiti-5290	1014	6	the	the	DET
aiti-5290	1014	7	effect	effect	NOUN
aiti-5290	1014	8	of	of	ADP
aiti-5290	1014	9	the	the	DET
aiti-5290	1014	10	dimensionless	dimensionless	NOUN
aiti-5290	1014	11	wind	wind	NOUN
aiti-5290	1014	12	pressure	pressure	NOUN
aiti-5290	1014	13	"	"	PUNCT
aiti-5290	1014	14	ot	ot	INTJ
aiti-5290	1014	15	(	(	PUNCT
aiti-5290	1014	16	refer	refer	VERB
aiti-5290	1014	17	to	to	ADP
aiti-5290	1014	18	appendix	appendix	VERB
aiti-5290	1014	19	for	for	ADP
aiti-5290	1014	20	the	the	DET
aiti-5290	1014	21	definition	definition	NOUN
aiti-5290	1014	22	)	)	PUNCT
aiti-5290	1014	23	on	on	ADP
aiti-5290	1014	24	this	this	DET
aiti-5290	1014	25	beam	beam	NOUN
aiti-5290	1014	26	amplitude	amplitude	NOUN
aiti-5290	1014	27	.	.	PUNCT
aiti-5290	1015	1	for	for	ADP
aiti-5290	1015	2	the	the	DET
aiti-5290	1015	3	case	case	NOUN
aiti-5290	1015	4	of	of	ADP
aiti-5290	1015	5	a	a	DET
aiti-5290	1015	6	uniform	uniform	ADJ
aiti-5290	1015	7	beam	beam	NOUN
aiti-5290	1015	8	,	,	PUNCT
aiti-5290	1015	9	the	the	DET
aiti-5290	1015	10	value	value	NOUN
aiti-5290	1015	11	of	of	ADP
aiti-5290	1015	12	the	the	DET
aiti-5290	1015	13	dimensionless	dimensionless	NOUN
aiti-5290	1015	14	wind	wind	NOUN
aiti-5290	1015	15	pressure	pressure	NOUN
aiti-5290	1015	16	"	"	PUNCT
aiti-5290	1015	17	o	o	NOUN
aiti-5290	1015	18	�	�	X
aiti-5290	1015	19	0	0	NUM
aiti-5290	1015	20	varies	vary	VERB
aiti-5290	1015	21	from	from	ADP
aiti-5290	1015	22	1	1	NUM
aiti-5290	1015	23	-	-	SYM
aiti-5290	1015	24	10	10	NUM
aiti-5290	1015	25	.	.	PUNCT
aiti-5290	1016	1	the	the	DET
aiti-5290	1016	2	responding	respond	VERB
aiti-5290	1016	3	amplitudes	amplitude	NOUN
aiti-5290	1016	4	in	in	ADP
aiti-5290	1016	5	both	both	CCONJ
aiti-5290	1016	6	yand	yand	PROPN
aiti-5290	1016	7	z	z	PROPN
aiti-5290	1016	8	-	-	PUNCT
aiti-5290	1016	9	d.o.f	d.o.f	ADJ
aiti-5290	1016	10	.	.	PUNCT
aiti-5290	1016	11	can	can	AUX
aiti-5290	1016	12	be	be	AUX
aiti-5290	1016	13	found	find	VERB
aiti-5290	1016	14	from	from	ADP
aiti-5290	1016	15	eqs	eqs	PROPN
aiti-5290	1016	16	.	.	PUNCT
aiti-5290	1017	1	(	(	PUNCT
aiti-5290	1017	2	8)-(10	8)-(10	NUM
aiti-5290	1017	3	)	)	PUNCT
aiti-5290	1017	4	by	by	ADP
aiti-5290	1017	5	using	use	VERB
aiti-5290	1017	6	moms	mom	NOUN
aiti-5290	1017	7	method	method	NOUN
aiti-5290	1017	8	.	.	PUNCT
aiti-5290	1018	1	the	the	DET
aiti-5290	1018	2	aerodynamic	aerodynamic	ADJ
aiti-5290	1018	3	force	force	NOUN
aiti-5290	1018	4	is	be	AUX
aiti-5290	1018	5	treated	treat	VERB
aiti-5290	1018	6	as	as	ADP
aiti-5290	1018	7	the	the	DET
aiti-5290	1018	8	external	external	ADJ
aiti-5290	1018	9	load	load	NOUN
aiti-5290	1018	10	in	in	ADP
aiti-5290	1018	11	this	this	DET
aiti-5290	1018	12	study	study	NOUN
aiti-5290	1018	13	.	.	PUNCT
aiti-5290	1019	1	instead	instead	ADV
aiti-5290	1019	2	of	of	ADP
aiti-5290	1019	3	reynolds	reynolds	PROPN
aiti-5290	1019	4	number	number	PROPN
aiti-5290	1019	5	,	,	PUNCT
aiti-5290	1019	6	the	the	DET
aiti-5290	1019	7	dimensionless	dimensionless	NOUN
aiti-5290	1019	8	wind	wind	NOUN
aiti-5290	1019	9	pressure	pressure	NOUN
aiti-5290	1019	10	"	"	PUNCT
aiti-5290	1019	11	o	o	NOUN
aiti-5290	1019	12	�	�	X
aiti-5290	1019	13	0	0	NUM
aiti-5290	1019	14	is	be	AUX
aiti-5290	1019	15	considered	consider	VERB
aiti-5290	1019	16	in	in	ADP
aiti-5290	1019	17	figs	fig	NOUN
aiti-5290	1019	18	.	.	PUNCT
aiti-5290	1020	1	13	13	NUM
aiti-5290	1020	2	-	-	SYM
aiti-5290	1020	3	17	17	NUM
aiti-5290	1020	4	.	.	PUNCT
aiti-5290	1021	1	advances	advance	NOUN
aiti-5290	1021	2	in	in	ADP
aiti-5290	1021	3	technology	technology	NOUN
aiti-5290	1021	4	innovation	innovation	NOUN
aiti-5290	1021	5	,	,	PUNCT
aiti-5290	1021	6	vol	vol	NOUN
aiti-5290	1021	7	.	.	PROPN
aiti-5290	1021	8	5	5	NUM
aiti-5290	1021	9	,	,	PUNCT
aiti-5290	1021	10	no	no	INTJ
aiti-5290	1021	11	.	.	NOUN
aiti-5290	1021	12	4	4	NUM
aiti-5290	1021	13	,	,	PUNCT
aiti-5290	1021	14	2020	2020	NUM
aiti-5290	1021	15	,	,	PUNCT
aiti-5290	1021	16	pp	pp	ADV
aiti-5290	1021	17	.	.	PUNCT
aiti-5290	1022	1	270	270	NUM
aiti-5290	1022	2	-	-	SYM
aiti-5290	1022	3	291	291	NUM
aiti-5290	1022	4	286	286	NUM
aiti-5290	1022	5	fig	fig	NOUN
aiti-5290	1022	6	.	.	PUNCT
aiti-5290	1023	1	13	13	NUM
aiti-5290	1023	2	demonstrates	demonstrate	VERB
aiti-5290	1023	3	the	the	DET
aiti-5290	1023	4	primary	primary	ADJ
aiti-5290	1023	5	resonance	resonance	NOUN
aiti-5290	1023	6	phenomenon	phenomenon	NOUN
aiti-5290	1023	7	in	in	ADP
aiti-5290	1023	8	an	an	DET
aiti-5290	1023	9	isotropic	isotropic	ADJ
aiti-5290	1023	10	uniform	uniform	NOUN
aiti-5290	1023	11	beam	beam	NOUN
aiti-5290	1023	12	when	when	SCONJ
aiti-5290	1023	13	the	the	DET
aiti-5290	1023	14	1st	1st	ADJ
aiti-5290	1023	15	mode	mode	NOUN
aiti-5290	1023	16	’s	’s	PART
aiti-5290	1023	17	natural	natural	ADJ
aiti-5290	1023	18	frequency	frequency	NOUN
aiti-5290	1023	19	in	in	ADP
aiti-5290	1023	20	the	the	DET
aiti-5290	1023	21	y	y	PROPN
aiti-5290	1023	22	-	-	PUNCT
aiti-5290	1023	23	dir	dir	PROPN
aiti-5290	1023	24	.	.	PUNCT
aiti-5290	1024	1	is	be	AUX
aiti-5290	1024	2	excited	excited	ADJ
aiti-5290	1024	3	.	.	PUNCT
aiti-5290	1025	1	fig	fig	NOUN
aiti-5290	1025	2	.	.	PUNCT
aiti-5290	1026	1	13	13	NUM
aiti-5290	1026	2	presents	present	NOUN
aiti-5290	1026	3	that	that	PRON
aiti-5290	1026	4	the	the	DET
aiti-5290	1026	5	amplitudes	amplitude	NOUN
aiti-5290	1026	6	in	in	ADP
aiti-5290	1026	7	the	the	DET
aiti-5290	1026	8	y	y	PROPN
aiti-5290	1026	9	-	-	PUNCT
aiti-5290	1026	10	dir	dir	PROPN
aiti-5290	1026	11	.	.	PUNCT
aiti-5290	1027	1	increases	increase	NOUN
aiti-5290	1027	2	linearly	linearly	ADV
aiti-5290	1027	3	when	when	SCONJ
aiti-5290	1027	4	"	"	PUNCT
aiti-5290	1027	5	o	o	NOUN
aiti-5290	1027	6	�	�	NOUN
aiti-5290	1027	7	0	0	NUM
aiti-5290	1027	8	increases	increase	NOUN
aiti-5290	1027	9	when	when	SCONJ
aiti-5290	1027	10	"	"	PUNCT
aiti-5290	1027	11	o	o	NOUN
aiti-5290	1027	12	�	�	X
aiti-5290	1027	13	0	0	NUM
aiti-5290	1027	14	p	p	NOUN
aiti-5290	1027	15	7	7	NUM
aiti-5290	1027	16	.	.	PUNCT
aiti-5290	1028	1	the	the	DET
aiti-5290	1028	2	amplitudes	amplitude	NOUN
aiti-5290	1028	3	in	in	ADP
aiti-5290	1028	4	the	the	DET
aiti-5290	1028	5	z	z	NOUN
aiti-5290	1028	6	-	-	PUNCT
aiti-5290	1028	7	dir	dir	PROPN
aiti-5290	1028	8	.	.	PUNCT
aiti-5290	1028	9	seem	seem	VERB
aiti-5290	1028	10	to	to	PART
aiti-5290	1028	11	be	be	AUX
aiti-5290	1028	12	unexcited	unexcited	ADJ
aiti-5290	1028	13	.	.	PUNCT
aiti-5290	1029	1	however	however	ADV
aiti-5290	1029	2	,	,	PUNCT
aiti-5290	1029	3	in	in	ADP
aiti-5290	1029	4	the	the	DET
aiti-5290	1029	5	cases	case	NOUN
aiti-5290	1029	6	of	of	ADP
aiti-5290	1029	7	"	"	PUNCT
aiti-5290	1029	8	o	o	NOUN
aiti-5290	1029	9	�	�	PROPN
aiti-5290	1029	10	0	0	NUM
aiti-5290	1029	11	q	q	PROPN
aiti-5290	1029	12	7	7	NUM
aiti-5290	1029	13	,	,	PUNCT
aiti-5290	1029	14	the	the	DET
aiti-5290	1029	15	amplitudes	amplitude	NOUN
aiti-5290	1029	16	in	in	ADP
aiti-5290	1029	17	the	the	DET
aiti-5290	1029	18	z	z	NOUN
aiti-5290	1029	19	-	-	PUNCT
aiti-5290	1029	20	dir	dir	NOUN
aiti-5290	1029	21	.	.	PUNCT
aiti-5290	1029	22	increase	increase	NOUN
aiti-5290	1029	23	notably	notably	ADV
aiti-5290	1029	24	.	.	PUNCT
aiti-5290	1030	1	this	this	PRON
aiti-5290	1030	2	implies	imply	VERB
aiti-5290	1030	3	that	that	SCONJ
aiti-5290	1030	4	the	the	DET
aiti-5290	1030	5	energy	energy	NOUN
aiti-5290	1030	6	is	be	AUX
aiti-5290	1030	7	transferring	transfer	VERB
aiti-5290	1030	8	from	from	ADP
aiti-5290	1030	9	one	one	NUM
aiti-5290	1030	10	d.o.f	d.o.f	NOUN
aiti-5290	1030	11	.	.	PUNCT
aiti-5290	1031	1	to	to	ADP
aiti-5290	1031	2	another	another	DET
aiti-5290	1031	3	d.o.f	d.o.f	NOUN
aiti-5290	1031	4	.	.	PUNCT
aiti-5290	1032	1	under	under	ADP
aiti-5290	1032	2	these	these	DET
aiti-5290	1032	3	conditions	condition	NOUN
aiti-5290	1032	4	.	.	PUNCT
aiti-5290	1033	1	when	when	SCONJ
aiti-5290	1033	2	"	"	PUNCT
aiti-5290	1033	3	o	o	NOUN
aiti-5290	1033	4	�	�	X
aiti-5290	1033	5	0	0	NUM
aiti-5290	1033	6	=	=	SYM
aiti-5290	1033	7	10	10	NUM
aiti-5290	1033	8	,	,	PUNCT
aiti-5290	1033	9	the	the	DET
aiti-5290	1033	10	amplitude	amplitude	NOUN
aiti-5290	1033	11	in	in	ADP
aiti-5290	1033	12	the	the	DET
aiti-5290	1033	13	z	z	NOUN
aiti-5290	1033	14	-	-	PUNCT
aiti-5290	1033	15	dir	dir	PROPN
aiti-5290	1033	16	.	.	PUNCT
aiti-5290	1033	17	is	be	AUX
aiti-5290	1033	18	larger	large	ADJ
aiti-5290	1033	19	than	than	ADP
aiti-5290	1033	20	the	the	DET
aiti-5290	1033	21	y	y	PROPN
aiti-5290	1033	22	-	-	PUNCT
aiti-5290	1033	23	dir	dir	PROPN
aiti-5290	1033	24	.	.	PUNCT
aiti-5290	1034	1	this	this	PRON
aiti-5290	1034	2	is	be	AUX
aiti-5290	1034	3	a	a	DET
aiti-5290	1034	4	typical	typical	ADJ
aiti-5290	1034	5	primary	primary	ADJ
aiti-5290	1034	6	resonance	resonance	NOUN
aiti-5290	1034	7	.	.	PUNCT
aiti-5290	1035	1	the	the	DET
aiti-5290	1035	2	result	result	NOUN
aiti-5290	1035	3	shows	show	VERB
aiti-5290	1035	4	the	the	DET
aiti-5290	1035	5	primary	primary	ADJ
aiti-5290	1035	6	resonance	resonance	NOUN
aiti-5290	1035	7	can	can	AUX
aiti-5290	1035	8	happen	happen	VERB
aiti-5290	1035	9	under	under	ADP
aiti-5290	1035	10	such	such	ADJ
aiti-5290	1035	11	conditions	condition	NOUN
aiti-5290	1035	12	.	.	PUNCT
aiti-5290	1036	1	fig	fig	NOUN
aiti-5290	1036	2	.	.	PUNCT
aiti-5290	1037	1	12	12	NUM
aiti-5290	1037	2	frequency	frequency	NOUN
aiti-5290	1037	3	ratio	ratio	NOUN
aiti-5290	1037	4	plot	plot	NOUN
aiti-5290	1037	5	of	of	ADP
aiti-5290	1037	6	a	a	DET
aiti-5290	1037	7	double	double	ADJ
aiti-5290	1037	8	section	section	NOUN
aiti-5290	1037	9	beam	beam	NOUN
aiti-5290	1037	10	,	,	PUNCT
aiti-5290	1037	11	exciting	exciting	ADJ
aiti-5290	1037	12	the	the	DET
aiti-5290	1037	13	y	y	PROPN
aiti-5290	1037	14	-	-	PUNCT
aiti-5290	1037	15	dir	dir	PROPN
aiti-5290	1037	16	.	.	PUNCT
aiti-5290	1038	1	1st	1st	ADJ
aiti-5290	1038	2	mode	mode	PROPN
aiti-5290	1038	3	fig	fig	PROPN
aiti-5290	1038	4	.	.	PUNCT
aiti-5290	1039	1	13	13	NUM
aiti-5290	1039	2	beam	beam	NOUN
aiti-5290	1039	3	amplitude	amplitude	NOUN
aiti-5290	1039	4	-	-	PUNCT
aiti-5290	1039	5	wind	wind	NOUN
aiti-5290	1039	6	pressure	pressure	NOUN
aiti-5290	1039	7	plot	plot	NOUN
aiti-5290	1039	8	of	of	ADP
aiti-5290	1039	9	the	the	DET
aiti-5290	1039	10	uniform	uniform	ADJ
aiti-5290	1039	11	isotropic	isotropic	NOUN
aiti-5290	1039	12	beam	beam	NOUN
aiti-5290	1039	13	,	,	PUNCT
aiti-5290	1039	14	exciting	exciting	ADJ
aiti-5290	1039	15	the	the	DET
aiti-5290	1039	16	y	y	PROPN
aiti-5290	1039	17	-	-	PUNCT
aiti-5290	1039	18	dir	dir	PROPN
aiti-5290	1039	19	.	.	PUNCT
aiti-5290	1040	1	1st	1st	ADJ
aiti-5290	1040	2	mode	mode	NOUN
aiti-5290	1040	3	’s	’s	PART
aiti-5290	1040	4	natural	natural	ADJ
aiti-5290	1040	5	frequency	frequency	NOUN
aiti-5290	1040	6	fig	fig	NOUN
aiti-5290	1040	7	.	.	PUNCT
aiti-5290	1041	1	14	14	NUM
aiti-5290	1041	2	indicates	indicate	VERB
aiti-5290	1041	3	the	the	DET
aiti-5290	1041	4	beam	beam	NOUN
aiti-5290	1041	5	amplitude	amplitude	NOUN
aiti-5290	1041	6	-	-	PUNCT
aiti-5290	1041	7	wind	wind	NOUN
aiti-5290	1041	8	pressure	pressure	NOUN
aiti-5290	1041	9	plot	plot	NOUN
aiti-5290	1041	10	of	of	ADP
aiti-5290	1041	11	the	the	DET
aiti-5290	1041	12	double	double	ADJ
aiti-5290	1041	13	section	section	NOUN
aiti-5290	1041	14	beam	beam	PROPN
aiti-5290	1041	15	�	�	PROPN
aiti-5290	1041	16	̅0/	̅0/	PROPN
aiti-5290	1041	17	�	�	PROPN
aiti-5290	1041	18	̅6	̅6	NOUN
aiti-5290	1041	19	=	=	SYM
aiti-5290	1041	20	1/0.75	1/0.75	NUM
aiti-5290	1041	21	,	,	PUNCT
aiti-5290	1041	22	5	5	NUM
aiti-5290	1041	23	=	=	SYM
aiti-5290	1041	24	0.33	0.33	NUM
aiti-5290	1041	25	,	,	PUNCT
aiti-5290	1041	26	when	when	SCONJ
aiti-5290	1041	27	the	the	DET
aiti-5290	1041	28	y	y	PROPN
aiti-5290	1041	29	-	-	PUNCT
aiti-5290	1041	30	dir	dir	PROPN
aiti-5290	1041	31	.	.	PUNCT
aiti-5290	1042	1	1st	1st	ADJ
aiti-5290	1042	2	mode	mode	NOUN
aiti-5290	1042	3	is	be	AUX
aiti-5290	1042	4	excited	excited	ADJ
aiti-5290	1042	5	.	.	PUNCT
aiti-5290	1043	1	fig	fig	NOUN
aiti-5290	1043	2	.	.	PUNCT
aiti-5290	1044	1	15	15	NUM
aiti-5290	1044	2	reveals	reveal	VERB
aiti-5290	1044	3	the	the	DET
aiti-5290	1044	4	beam	beam	NOUN
aiti-5290	1044	5	amplitude	amplitude	NOUN
aiti-5290	1044	6	-	-	PUNCT
aiti-5290	1044	7	wind	wind	NOUN
aiti-5290	1044	8	pressure	pressure	NOUN
aiti-5290	1044	9	plot	plot	NOUN
aiti-5290	1044	10	of	of	ADP
aiti-5290	1044	11	the	the	DET
aiti-5290	1044	12	double	double	ADJ
aiti-5290	1044	13	section	section	NOUN
aiti-5290	1044	14	beam	beam	PROPN
aiti-5290	1044	15	�	�	PROPN
aiti-5290	1044	16	̅0/	̅0/	PROPN
aiti-5290	1044	17	�	�	PROPN
aiti-5290	1044	18	̅6	̅6	NOUN
aiti-5290	1044	19	=	=	SYM
aiti-5290	1044	20	1/0.75	1/0.75	NUM
aiti-5290	1044	21	,	,	PUNCT
aiti-5290	1044	22	5	5	NUM
aiti-5290	1044	23	=	=	SYM
aiti-5290	1044	24	0.51	0.51	NUM
aiti-5290	1044	25	,	,	PUNCT
aiti-5290	1044	26	when	when	SCONJ
aiti-5290	1044	27	the	the	DET
aiti-5290	1044	28	y	y	PROPN
aiti-5290	1044	29	-	-	PUNCT
aiti-5290	1044	30	dir	dir	PROPN
aiti-5290	1044	31	.	.	PUNCT
aiti-5290	1045	1	1st	1st	ADJ
aiti-5290	1045	2	mode	mode	NOUN
aiti-5290	1045	3	is	be	AUX
aiti-5290	1045	4	excited	excited	ADJ
aiti-5290	1045	5	.	.	PUNCT
aiti-5290	1046	1	the	the	DET
aiti-5290	1046	2	amplitude	amplitude	NOUN
aiti-5290	1046	3	of	of	ADP
aiti-5290	1046	4	by1	by1	PROPN
aiti-5290	1046	5	is	be	AUX
aiti-5290	1046	6	always	always	ADV
aiti-5290	1046	7	larger	large	ADJ
aiti-5290	1046	8	than	than	ADP
aiti-5290	1046	9	the	the	DET
aiti-5290	1046	10	other	other	ADJ
aiti-5290	1046	11	cases	case	NOUN
aiti-5290	1046	12	and	and	CCONJ
aiti-5290	1046	13	increases	increase	NOUN
aiti-5290	1046	14	linearly	linearly	ADV
aiti-5290	1046	15	as	as	ADP
aiti-5290	1046	16	the	the	DET
aiti-5290	1046	17	wind	wind	NOUN
aiti-5290	1046	18	pressure	pressure	NOUN
aiti-5290	1046	19	increases	increase	NOUN
aiti-5290	1046	20	.	.	PUNCT
aiti-5290	1047	1	the	the	DET
aiti-5290	1047	2	case	case	NOUN
aiti-5290	1047	3	of	of	ADP
aiti-5290	1047	4	5	5	NUM
aiti-5290	1047	5	=	=	SYM
aiti-5290	1047	6	0.33	0.33	NUM
aiti-5290	1047	7	represents	represent	VERB
aiti-5290	1047	8	a	a	DET
aiti-5290	1047	9	more	more	ADV
aiti-5290	1047	10	flexible	flexible	ADJ
aiti-5290	1047	11	beam	beam	NOUN
aiti-5290	1047	12	than	than	ADP
aiti-5290	1047	13	the	the	DET
aiti-5290	1047	14	case	case	NOUN
aiti-5290	1047	15	of	of	ADP
aiti-5290	1047	16	5	5	NUM
aiti-5290	1047	17	=	=	SYM
aiti-5290	1047	18	0.51	0.51	NUM
aiti-5290	1047	19	.	.	PUNCT
aiti-5290	1048	1	this	this	PRON
aiti-5290	1048	2	is	be	AUX
aiti-5290	1048	3	the	the	DET
aiti-5290	1048	4	reason	reason	NOUN
aiti-5290	1048	5	that	that	PRON
aiti-5290	1048	6	by1	by1	NOUN
aiti-5290	1048	7	has	have	VERB
aiti-5290	1048	8	the	the	DET
aiti-5290	1048	9	largest	large	ADJ
aiti-5290	1048	10	amplitude	amplitude	NOUN
aiti-5290	1048	11	than	than	ADP
aiti-5290	1048	12	the	the	DET
aiti-5290	1048	13	other	other	ADJ
aiti-5290	1048	14	cases	case	NOUN
aiti-5290	1048	15	.	.	PUNCT
aiti-5290	1049	1	fig	fig	NOUN
aiti-5290	1049	2	.	.	PUNCT
aiti-5290	1050	1	14	14	NUM
aiti-5290	1050	2	beam	beam	NOUN
aiti-5290	1050	3	amplitude	amplitude	NOUN
aiti-5290	1050	4	-	-	PUNCT
aiti-5290	1050	5	wind	wind	NOUN
aiti-5290	1050	6	pressure	pressure	NOUN
aiti-5290	1050	7	plot	plot	NOUN
aiti-5290	1050	8	of	of	ADP
aiti-5290	1050	9	the	the	DET
aiti-5290	1050	10	double	double	ADJ
aiti-5290	1050	11	section	section	NOUN
aiti-5290	1050	12	beam	beam	PROPN
aiti-5290	1050	13	�	�	PROPN
aiti-5290	1050	14	̅0/	̅0/	PROPN
aiti-5290	1050	15	�	�	PROPN
aiti-5290	1050	16	̅6	̅6	NOUN
aiti-5290	1050	17	=	=	SYM
aiti-5290	1050	18	1/0.75	1/0.75	NUM
aiti-5290	1050	19	,	,	PUNCT
aiti-5290	1050	20	5	5	NUM
aiti-5290	1050	21	=	=	SYM
aiti-5290	1050	22	0.33	0.33	NUM
aiti-5290	1050	23	,	,	PUNCT
aiti-5290	1050	24	exciting	exciting	ADJ
aiti-5290	1050	25	the	the	DET
aiti-5290	1050	26	y	y	PROPN
aiti-5290	1050	27	-	-	PUNCT
aiti-5290	1050	28	dir	dir	PROPN
aiti-5290	1050	29	.	.	PUNCT
aiti-5290	1051	1	1st	1st	ADJ
aiti-5290	1051	2	mode	mode	PROPN
aiti-5290	1051	3	fig	fig	PROPN
aiti-5290	1051	4	.	.	PUNCT
aiti-5290	1052	1	15	15	NUM
aiti-5290	1052	2	beam	beam	NOUN
aiti-5290	1052	3	amplitude	amplitude	NOUN
aiti-5290	1052	4	-	-	PUNCT
aiti-5290	1052	5	wind	wind	NOUN
aiti-5290	1052	6	pressure	pressure	NOUN
aiti-5290	1052	7	plot	plot	NOUN
aiti-5290	1052	8	of	of	ADP
aiti-5290	1052	9	the	the	DET
aiti-5290	1052	10	double	double	ADJ
aiti-5290	1052	11	section	section	NOUN
aiti-5290	1052	12	beam	beam	PROPN
aiti-5290	1052	13	�	�	PROPN
aiti-5290	1052	14	̅0/	̅0/	PROPN
aiti-5290	1052	15	�	�	PROPN
aiti-5290	1052	16	̅6	̅6	NOUN
aiti-5290	1052	17	=	=	SYM
aiti-5290	1052	18	1/0.75	1/0.75	NUM
aiti-5290	1052	19	,	,	PUNCT
aiti-5290	1052	20	5	5	NUM
aiti-5290	1052	21	=	=	SYM
aiti-5290	1052	22	0.51	0.51	NUM
aiti-5290	1052	23	,	,	PUNCT
aiti-5290	1052	24	exciting	exciting	ADJ
aiti-5290	1052	25	the	the	DET
aiti-5290	1052	26	y	y	PROPN
aiti-5290	1052	27	-	-	PUNCT
aiti-5290	1052	28	dir	dir	PROPN
aiti-5290	1052	29	.	.	PUNCT
aiti-5290	1053	1	1st	1st	ADJ
aiti-5290	1053	2	mode	mode	NOUN
aiti-5290	1053	3	figs	fig	NOUN
aiti-5290	1053	4	.	.	PUNCT
aiti-5290	1054	1	16	16	NUM
aiti-5290	1054	2	-	-	SYM
aiti-5290	1054	3	17	17	NUM
aiti-5290	1054	4	are	be	AUX
aiti-5290	1054	5	the	the	DET
aiti-5290	1054	6	beam	beam	ADJ
aiti-5290	1054	7	amplitude	amplitude	NOUN
aiti-5290	1054	8	-	-	PUNCT
aiti-5290	1054	9	wind	wind	NOUN
aiti-5290	1054	10	pressure	pressure	NOUN
aiti-5290	1054	11	plots	plot	NOUN
aiti-5290	1054	12	of	of	ADP
aiti-5290	1054	13	the	the	DET
aiti-5290	1054	14	double	double	ADJ
aiti-5290	1054	15	section	section	NOUN
aiti-5290	1054	16	beam	beam	PROPN
aiti-5290	1054	17	�	�	PROPN
aiti-5290	1054	18	̅0/	̅0/	PROPN
aiti-5290	1054	19	�	�	PROPN
aiti-5290	1054	20	̅6	̅6	NOUN
aiti-5290	1054	21	=	=	PUNCT
aiti-5290	1054	22	1/0.75	1/0.75	NUM
aiti-5290	1054	23	when	when	SCONJ
aiti-5290	1054	24	the	the	DET
aiti-5290	1054	25	y	y	PROPN
aiti-5290	1054	26	-	-	PUNCT
aiti-5290	1054	27	dir	dir	PROPN
aiti-5290	1054	28	.	.	PUNCT
aiti-5290	1055	1	2nd	2nd	ADJ
aiti-5290	1055	2	mode	mode	NOUN
aiti-5290	1055	3	is	be	AUX
aiti-5290	1055	4	excited	excited	ADJ
aiti-5290	1055	5	and	and	CCONJ
aiti-5290	1055	6	when	when	SCONJ
aiti-5290	1055	7	5	5	NUM
aiti-5290	1055	8	=	=	SYM
aiti-5290	1055	9	0.33	0.33	NUM
aiti-5290	1055	10	and	and	CCONJ
aiti-5290	1055	11	5	5	NUM
aiti-5290	1055	12	=	=	SYM
aiti-5290	1055	13	0.51	0.51	NUM
aiti-5290	1055	14	,	,	PUNCT
aiti-5290	1055	15	respectively	respectively	ADV
aiti-5290	1055	16	.	.	PUNCT
aiti-5290	1056	1	even	even	ADV
aiti-5290	1056	2	if	if	SCONJ
aiti-5290	1056	3	the	the	DET
aiti-5290	1056	4	2nd	2nd	ADJ
aiti-5290	1056	5	mode	mode	NOUN
aiti-5290	1056	6	is	be	AUX
aiti-5290	1056	7	excited	excited	ADJ
aiti-5290	1056	8	and	and	CCONJ
aiti-5290	1056	9	by2	by2	NUM
aiti-5290	1056	10	increases	increase	NOUN
aiti-5290	1056	11	as	as	ADP
aiti-5290	1056	12	the	the	DET
aiti-5290	1056	13	wind	wind	NOUN
aiti-5290	1056	14	pressure	pressure	NOUN
aiti-5290	1056	15	increases	increase	NOUN
aiti-5290	1056	16	,	,	PUNCT
aiti-5290	1056	17	the	the	DET
aiti-5290	1056	18	unexcited	unexcited	ADJ
aiti-5290	1056	19	d.o.f	d.o.f	NOUN
aiti-5290	1056	20	.	.	NOUN
aiti-5290	1056	21	amplitude	amplitude	NOUN
aiti-5290	1056	22	by1	by1	NOUN
aiti-5290	1056	23	is	be	AUX
aiti-5290	1056	24	still	still	ADV
aiti-5290	1056	25	larger	large	ADJ
aiti-5290	1056	26	than	than	ADP
aiti-5290	1056	27	that	that	PRON
aiti-5290	1056	28	of	of	ADP
aiti-5290	1056	29	the	the	DET
aiti-5290	1056	30	excited	excited	ADJ
aiti-5290	1056	31	d.o.f	d.o.f	NOUN
aiti-5290	1056	32	.	.	PUNCT
aiti-5290	1057	1	this	this	PRON
aiti-5290	1057	2	implies	imply	VERB
aiti-5290	1057	3	the	the	DET
aiti-5290	1057	4	energy	energy	NOUN
aiti-5290	1057	5	is	be	AUX
aiti-5290	1057	6	transferring	transfer	VERB
aiti-5290	1057	7	in	in	ADP
aiti-5290	1057	8	between	between	ADP
aiti-5290	1057	9	these	these	DET
aiti-5290	1057	10	two	two	NUM
aiti-5290	1057	11	modes	mode	NOUN
aiti-5290	1057	12	.	.	PUNCT
aiti-5290	1058	1	the	the	DET
aiti-5290	1058	2	internal	internal	ADJ
aiti-5290	1058	3	resonance	resonance	NOUN
aiti-5290	1058	4	is	be	AUX
aiti-5290	1058	5	triggered	trigger	VERB
aiti-5290	1058	6	.	.	PUNCT
aiti-5290	1059	1	in	in	ADP
aiti-5290	1059	2	comparing	compare	VERB
aiti-5290	1059	3	with	with	ADP
aiti-5290	1059	4	the	the	DET
aiti-5290	1059	5	primary	primary	ADJ
aiti-5290	1059	6	resonance	resonance	NOUN
aiti-5290	1059	7	,	,	PUNCT
aiti-5290	1059	8	the	the	DET
aiti-5290	1059	9	3:1	3:1	NUM
aiti-5290	1059	10	i.r	i.r	PROPN
aiti-5290	1059	11	.	.	PROPN
aiti-5290	1059	12	happens	happen	VERB
aiti-5290	1059	13	earlier	early	ADV
aiti-5290	1059	14	(	(	PUNCT
aiti-5290	1059	15	less	less	ADJ
aiti-5290	1059	16	wind	wind	NOUN
aiti-5290	1059	17	pressure	pressure	NOUN
aiti-5290	1059	18	)	)	PUNCT
aiti-5290	1059	19	than	than	ADP
aiti-5290	1059	20	the	the	DET
aiti-5290	1059	21	primary	primary	ADJ
aiti-5290	1059	22	resonance	resonance	NOUN
aiti-5290	1059	23	(	(	PUNCT
aiti-5290	1059	24	evidenced	evidence	VERB
aiti-5290	1059	25	by	by	ADP
aiti-5290	1059	26	the	the	DET
aiti-5290	1059	27	growth	growth	NOUN
aiti-5290	1059	28	of	of	ADP
aiti-5290	1059	29	bz1	bz1	NOUN
aiti-5290	1059	30	)	)	PUNCT
aiti-5290	1059	31	.	.	PUNCT
aiti-5290	1060	1	the	the	DET
aiti-5290	1060	2	internal	internal	ADJ
aiti-5290	1060	3	resonance	resonance	NOUN
aiti-5290	1060	4	has	have	VERB
aiti-5290	1060	5	greater	great	ADJ
aiti-5290	1060	6	effects	effect	NOUN
aiti-5290	1060	7	than	than	ADP
aiti-5290	1060	8	the	the	DET
aiti-5290	1060	9	primary	primary	ADJ
aiti-5290	1060	10	resonance	resonance	NOUN
aiti-5290	1060	11	and	and	CCONJ
aiti-5290	1060	12	should	should	AUX
aiti-5290	1060	13	be	be	AUX
aiti-5290	1060	14	noticed	notice	VERB
aiti-5290	1060	15	under	under	ADP
aiti-5290	1060	16	this	this	DET
aiti-5290	1060	17	forcing	force	VERB
aiti-5290	1060	18	condition	condition	NOUN
aiti-5290	1060	19	.	.	PUNCT
aiti-5290	1061	1	advances	advance	NOUN
aiti-5290	1061	2	in	in	ADP
aiti-5290	1061	3	technology	technology	NOUN
aiti-5290	1061	4	innovation	innovation	NOUN
aiti-5290	1061	5	,	,	PUNCT
aiti-5290	1061	6	vol	vol	NOUN
aiti-5290	1061	7	.	.	PROPN
aiti-5290	1061	8	5	5	NUM
aiti-5290	1061	9	,	,	PUNCT
aiti-5290	1061	10	no	no	INTJ
aiti-5290	1061	11	.	.	NOUN
aiti-5290	1061	12	4	4	NUM
aiti-5290	1061	13	,	,	PUNCT
aiti-5290	1061	14	2020	2020	NUM
aiti-5290	1061	15	,	,	PUNCT
aiti-5290	1061	16	pp	pp	ADV
aiti-5290	1061	17	.	.	PUNCT
aiti-5290	1062	1	270	270	NUM
aiti-5290	1062	2	-	-	SYM
aiti-5290	1062	3	291	291	NUM
aiti-5290	1062	4	287	287	NUM
aiti-5290	1062	5	fig	fig	NOUN
aiti-5290	1062	6	.	.	PUNCT
aiti-5290	1063	1	16	16	NUM
aiti-5290	1063	2	beam	beam	NOUN
aiti-5290	1063	3	amplitude	amplitude	NOUN
aiti-5290	1063	4	-	-	PUNCT
aiti-5290	1063	5	wind	wind	NOUN
aiti-5290	1063	6	pressure	pressure	NOUN
aiti-5290	1063	7	plot	plot	NOUN
aiti-5290	1063	8	of	of	ADP
aiti-5290	1063	9	the	the	DET
aiti-5290	1063	10	double	double	ADJ
aiti-5290	1063	11	section	section	NOUN
aiti-5290	1063	12	beam	beam	PROPN
aiti-5290	1063	13	�	�	PROPN
aiti-5290	1063	14	̅0/	̅0/	PROPN
aiti-5290	1063	15	�	�	PROPN
aiti-5290	1063	16	̅6	̅6	NOUN
aiti-5290	1063	17	=	=	SYM
aiti-5290	1063	18	1/0.75	1/0.75	NUM
aiti-5290	1063	19	,	,	PUNCT
aiti-5290	1063	20	5	5	NUM
aiti-5290	1063	21	=	=	SYM
aiti-5290	1063	22	0.33	0.33	NUM
aiti-5290	1063	23	,	,	PUNCT
aiti-5290	1063	24	exciting	exciting	ADJ
aiti-5290	1063	25	the	the	DET
aiti-5290	1063	26	y	y	PROPN
aiti-5290	1063	27	-	-	PUNCT
aiti-5290	1063	28	dir	dir	PROPN
aiti-5290	1063	29	.	.	PUNCT
aiti-5290	1064	1	2nd	2nd	ADJ
aiti-5290	1064	2	mode	mode	PROPN
aiti-5290	1064	3	fig	fig	PROPN
aiti-5290	1064	4	.	.	PUNCT
aiti-5290	1065	1	17	17	NUM
aiti-5290	1065	2	beam	beam	NOUN
aiti-5290	1065	3	amplitude	amplitude	NOUN
aiti-5290	1065	4	-	-	PUNCT
aiti-5290	1065	5	wind	wind	NOUN
aiti-5290	1065	6	pressure	pressure	NOUN
aiti-5290	1065	7	plot	plot	NOUN
aiti-5290	1065	8	of	of	ADP
aiti-5290	1065	9	the	the	DET
aiti-5290	1065	10	double	double	ADJ
aiti-5290	1065	11	section	section	NOUN
aiti-5290	1065	12	beam	beam	PROPN
aiti-5290	1065	13	�	�	PROPN
aiti-5290	1065	14	̅0/	̅0/	PROPN
aiti-5290	1065	15	�	�	PROPN
aiti-5290	1065	16	̅6	̅6	NOUN
aiti-5290	1065	17	=	=	SYM
aiti-5290	1065	18	1/0.75	1/0.75	NUM
aiti-5290	1065	19	,	,	PUNCT
aiti-5290	1065	20	5	5	NUM
aiti-5290	1065	21	=	=	SYM
aiti-5290	1065	22	0.51	0.51	NUM
aiti-5290	1065	23	,	,	PUNCT
aiti-5290	1065	24	exciting	exciting	ADJ
aiti-5290	1065	25	the	the	DET
aiti-5290	1065	26	y	y	PROPN
aiti-5290	1065	27	-	-	PUNCT
aiti-5290	1065	28	dir	dir	PROPN
aiti-5290	1065	29	.	.	PUNCT
aiti-5290	1066	1	2nd	2nd	ADJ
aiti-5290	1066	2	mode	mode	NOUN
aiti-5290	1066	3	5	5	NUM
aiti-5290	1066	4	.	.	PUNCT
aiti-5290	1066	5	conclusions	conclusion	NOUN
aiti-5290	1066	6	this	this	DET
aiti-5290	1066	7	study	study	NOUN
aiti-5290	1066	8	investigates	investigate	VERB
aiti-5290	1066	9	the	the	DET
aiti-5290	1066	10	internal	internal	ADJ
aiti-5290	1066	11	resonance	resonance	NOUN
aiti-5290	1066	12	of	of	ADP
aiti-5290	1066	13	a	a	DET
aiti-5290	1066	14	double	double	ADJ
aiti-5290	1066	15	-	-	PUNCT
aiti-5290	1066	16	section	section	NOUN
aiti-5290	1066	17	beam	beam	NOUN
aiti-5290	1066	18	with	with	ADP
aiti-5290	1066	19	cubic	cubic	ADJ
aiti-5290	1066	20	nonlinearities	nonlinearitie	NOUN
aiti-5290	1066	21	.	.	PUNCT
aiti-5290	1067	1	this	this	DET
aiti-5290	1067	2	model	model	NOUN
aiti-5290	1067	3	can	can	AUX
aiti-5290	1067	4	be	be	AUX
aiti-5290	1067	5	applied	apply	VERB
aiti-5290	1067	6	in	in	ADP
aiti-5290	1067	7	a	a	DET
aiti-5290	1067	8	wide	wide	ADJ
aiti-5290	1067	9	range	range	NOUN
aiti-5290	1067	10	of	of	ADP
aiti-5290	1067	11	engineering	engineering	NOUN
aiti-5290	1067	12	problems	problem	NOUN
aiti-5290	1067	13	,	,	PUNCT
aiti-5290	1067	14	such	such	ADJ
aiti-5290	1067	15	as	as	ADP
aiti-5290	1067	16	rocket	rocket	NOUN
aiti-5290	1067	17	and	and	CCONJ
aiti-5290	1067	18	missile	missile	NOUN
aiti-5290	1067	19	structures	structure	NOUN
aiti-5290	1067	20	.	.	PUNCT
aiti-5290	1068	1	different	different	ADJ
aiti-5290	1068	2	ratios	ratio	NOUN
aiti-5290	1068	3	of	of	ADP
aiti-5290	1068	4	beam	beam	NOUN
aiti-5290	1068	5	section	section	NOUN
aiti-5290	1068	6	lengths	length	NOUN
aiti-5290	1068	7	and	and	CCONJ
aiti-5290	1068	8	diameters	diameter	NOUN
aiti-5290	1068	9	in	in	ADP
aiti-5290	1068	10	a	a	DET
aiti-5290	1068	11	variety	variety	NOUN
aiti-5290	1068	12	of	of	ADP
aiti-5290	1068	13	external	external	ADJ
aiti-5290	1068	14	loads	load	NOUN
aiti-5290	1068	15	(	(	PUNCT
aiti-5290	1068	16	aerodynamic	aerodynamic	ADJ
aiti-5290	1068	17	forces	force	NOUN
aiti-5290	1068	18	or	or	CCONJ
aiti-5290	1068	19	flight	flight	NOUN
aiti-5290	1068	20	speeds	speed	NOUN
aiti-5290	1068	21	of	of	ADP
aiti-5290	1068	22	the	the	DET
aiti-5290	1068	23	rockets	rocket	NOUN
aiti-5290	1068	24	or	or	CCONJ
aiti-5290	1068	25	missiles	missile	NOUN
aiti-5290	1068	26	)	)	PUNCT
aiti-5290	1068	27	are	be	AUX
aiti-5290	1068	28	studied	study	VERB
aiti-5290	1068	29	.	.	PUNCT
aiti-5290	1069	1	a	a	DET
aiti-5290	1069	2	primary	primary	ADJ
aiti-5290	1069	3	resonance	resonance	NOUN
aiti-5290	1069	4	occurs	occur	VERB
aiti-5290	1069	5	on	on	ADP
aiti-5290	1069	6	a	a	DET
aiti-5290	1069	7	uniform	uniform	ADJ
aiti-5290	1069	8	free	free	ADV
aiti-5290	1069	9	-	-	PUNCT
aiti-5290	1069	10	free	free	ADJ
aiti-5290	1069	11	beam	beam	NOUN
aiti-5290	1069	12	at	at	ADP
aiti-5290	1069	13	certain	certain	ADJ
aiti-5290	1069	14	flight	flight	NOUN
aiti-5290	1069	15	speed	speed	NOUN
aiti-5290	1069	16	.	.	PUNCT
aiti-5290	1070	1	the	the	DET
aiti-5290	1070	2	three	three	NUM
aiti-5290	1070	3	-	-	PUNCT
aiti-5290	1070	4	to	to	ADP
aiti-5290	1070	5	-	-	PUNCT
aiti-5290	1070	6	one	one	NUM
aiti-5290	1070	7	internal	internal	ADJ
aiti-5290	1070	8	resonance	resonance	NOUN
aiti-5290	1070	9	is	be	AUX
aiti-5290	1070	10	also	also	ADV
aiti-5290	1070	11	triggered	trigger	VERB
aiti-5290	1070	12	within	within	ADP
aiti-5290	1070	13	the	the	DET
aiti-5290	1070	14	1st	1st	NOUN
aiti-5290	1070	15	and	and	CCONJ
aiti-5290	1070	16	the	the	DET
aiti-5290	1070	17	2nd	2nd	ADJ
aiti-5290	1070	18	modes	mode	NOUN
aiti-5290	1070	19	in	in	ADP
aiti-5290	1070	20	certain	certain	ADJ
aiti-5290	1070	21	combinations	combination	NOUN
aiti-5290	1070	22	of	of	ADP
aiti-5290	1070	23	beam	beam	NOUN
aiti-5290	1070	24	length	length	NOUN
aiti-5290	1070	25	and	and	CCONJ
aiti-5290	1070	26	diameter	diameter	NOUN
aiti-5290	1070	27	ratios	ratio	NOUN
aiti-5290	1070	28	.	.	PUNCT
aiti-5290	1071	1	the	the	DET
aiti-5290	1071	2	phase	phase	NOUN
aiti-5290	1071	3	plots	plot	VERB
aiti-5290	1071	4	and	and	CCONJ
aiti-5290	1071	5	the	the	DET
aiti-5290	1071	6	time	time	NOUN
aiti-5290	1071	7	marching	march	VERB
aiti-5290	1071	8	numerical	numerical	ADJ
aiti-5290	1071	9	method	method	NOUN
aiti-5290	1071	10	are	be	AUX
aiti-5290	1071	11	used	use	VERB
aiti-5290	1071	12	to	to	PART
aiti-5290	1071	13	verify	verify	VERB
aiti-5290	1071	14	the	the	DET
aiti-5290	1071	15	semi	semi	ADJ
aiti-5290	1071	16	-	-	ADJ
aiti-5290	1071	17	analytical	analytical	ADJ
aiti-5290	1071	18	results	result	NOUN
aiti-5290	1071	19	.	.	PUNCT
aiti-5290	1072	1	the	the	DET
aiti-5290	1072	2	findings	finding	NOUN
aiti-5290	1072	3	are	be	AUX
aiti-5290	1072	4	concluded	conclude	VERB
aiti-5290	1072	5	as	as	SCONJ
aiti-5290	1072	6	follows	follow	VERB
aiti-5290	1072	7	:	:	PUNCT
aiti-5290	1072	8	(	(	PUNCT
aiti-5290	1072	9	1	1	X
aiti-5290	1072	10	)	)	PUNCT
aiti-5290	1072	11	for	for	ADP
aiti-5290	1072	12	a	a	DET
aiti-5290	1072	13	uniform	uniform	ADJ
aiti-5290	1072	14	beam	beam	NOUN
aiti-5290	1072	15	,	,	PUNCT
aiti-5290	1072	16	and	and	CCONJ
aiti-5290	1072	17	when	when	SCONJ
aiti-5290	1072	18	wind	wind	NOUN
aiti-5290	1072	19	pressure	pressure	NOUN
aiti-5290	1072	20	"	"	PUNCT
aiti-5290	1072	21	�	�	PROPN
aiti-5290	1072	22	0	0	NUM
aiti-5290	1072	23	r	r	NOUN
aiti-5290	1072	24	10	10	NUM
aiti-5290	1072	25	,	,	PUNCT
aiti-5290	1072	26	primary	primary	ADJ
aiti-5290	1072	27	resonance	resonance	NOUN
aiti-5290	1072	28	occurs	occur	VERB
aiti-5290	1072	29	.	.	PUNCT
aiti-5290	1073	1	(	(	PUNCT
aiti-5290	1073	2	2	2	X
aiti-5290	1073	3	)	)	PUNCT
aiti-5290	1073	4	the	the	DET
aiti-5290	1073	5	internal	internal	ADJ
aiti-5290	1073	6	resonance	resonance	NOUN
aiti-5290	1073	7	does	do	AUX
aiti-5290	1073	8	not	not	PART
aiti-5290	1073	9	happen	happen	VERB
aiti-5290	1073	10	in	in	ADP
aiti-5290	1073	11	the	the	DET
aiti-5290	1073	12	uniform	uniform	ADJ
aiti-5290	1073	13	beam	beam	NOUN
aiti-5290	1073	14	case	case	NOUN
aiti-5290	1073	15	,	,	PUNCT
aiti-5290	1073	16	because	because	SCONJ
aiti-5290	1073	17	the	the	DET
aiti-5290	1073	18	frequency	frequency	NOUN
aiti-5290	1073	19	ratios	ratio	NOUN
aiti-5290	1073	20	of	of	ADP
aiti-5290	1073	21	different	different	ADJ
aiti-5290	1073	22	modes	mode	NOUN
aiti-5290	1073	23	in	in	ADP
aiti-5290	1073	24	the	the	DET
aiti-5290	1073	25	uniform	uniform	ADJ
aiti-5290	1073	26	beam	beam	NOUN
aiti-5290	1073	27	are	be	AUX
aiti-5290	1073	28	not	not	PART
aiti-5290	1073	29	equal	equal	ADJ
aiti-5290	1073	30	to	to	ADP
aiti-5290	1073	31	integer	integer	NOUN
aiti-5290	1073	32	multiples	multiple	NOUN
aiti-5290	1073	33	.	.	PUNCT
aiti-5290	1074	1	(	(	PUNCT
aiti-5290	1074	2	3	3	X
aiti-5290	1074	3	)	)	PUNCT
aiti-5290	1074	4	for	for	ADP
aiti-5290	1074	5	the	the	DET
aiti-5290	1074	6	double	double	ADJ
aiti-5290	1074	7	sectional	sectional	ADJ
aiti-5290	1074	8	beam	beam	NOUN
aiti-5290	1074	9	and	and	CCONJ
aiti-5290	1074	10	the	the	DET
aiti-5290	1074	11	diameter	diameter	NOUN
aiti-5290	1074	12	ratio	ratio	PROPN
aiti-5290	1074	13	�	�	PROPN
aiti-5290	1074	14	̅0/	̅0/	PROPN
aiti-5290	1074	15	�	�	PROPN
aiti-5290	1074	16	̅6	̅6	NOUN
aiti-5290	1074	17	=	=	SYM
aiti-5290	1074	18	1/0.75	1/0.75	NUM
aiti-5290	1074	19	,	,	PUNCT
aiti-5290	1074	20	the	the	DET
aiti-5290	1074	21	length	length	NOUN
aiti-5290	1074	22	ratio	ratio	NOUN
aiti-5290	1074	23	5	5	NUM
aiti-5290	1074	24	=	=	SYM
aiti-5290	1074	25	0.33&0.51	0.33&0.51	PROPN
aiti-5290	1074	26	,	,	PUNCT
aiti-5290	1074	27	the	the	DET
aiti-5290	1074	28	1:3	1:3	NUM
aiti-5290	1074	29	internal	internal	ADJ
aiti-5290	1074	30	resonance	resonance	NOUN
aiti-5290	1074	31	in	in	ADP
aiti-5290	1074	32	the	the	DET
aiti-5290	1074	33	1st	1st	ADJ
aiti-5290	1074	34	and	and	CCONJ
aiti-5290	1074	35	2nd	2nd	ADJ
aiti-5290	1074	36	modes	mode	NOUN
aiti-5290	1074	37	occurs	occur	VERB
aiti-5290	1074	38	.	.	PUNCT
aiti-5290	1075	1	(	(	PUNCT
aiti-5290	1075	2	4	4	X
aiti-5290	1075	3	)	)	PUNCT
aiti-5290	1075	4	when	when	SCONJ
aiti-5290	1075	5	the	the	DET
aiti-5290	1075	6	diameter	diameter	NOUN
aiti-5290	1075	7	ratios	ratio	NOUN
aiti-5290	1075	8	are	be	AUX
aiti-5290	1075	9	less	less	ADJ
aiti-5290	1075	10	than	than	ADP
aiti-5290	1075	11	1/0.78	1/0.78	NUM
aiti-5290	1075	12	,	,	PUNCT
aiti-5290	1075	13	there	there	PRON
aiti-5290	1075	14	will	will	AUX
aiti-5290	1075	15	be	be	AUX
aiti-5290	1075	16	no	no	DET
aiti-5290	1075	17	i.r	i.r	PROPN
aiti-5290	1075	18	.	.	PROPN
aiti-5290	1076	1	while	while	SCONJ
aiti-5290	1076	2	the	the	DET
aiti-5290	1076	3	diameter	diameter	NOUN
aiti-5290	1076	4	ratios	ratio	NOUN
aiti-5290	1076	5	are	be	AUX
aiti-5290	1076	6	greater	great	ADJ
aiti-5290	1076	7	than	than	ADP
aiti-5290	1076	8	1/0.78	1/0.78	NUM
aiti-5290	1076	9	,	,	PUNCT
aiti-5290	1076	10	there	there	PRON
aiti-5290	1076	11	will	will	AUX
aiti-5290	1076	12	be	be	AUX
aiti-5290	1076	13	two	two	NUM
aiti-5290	1076	14	possible	possible	ADJ
aiti-5290	1076	15	combinations	combination	NOUN
aiti-5290	1076	16	for	for	ADP
aiti-5290	1076	17	the	the	DET
aiti-5290	1076	18	length	length	NOUN
aiti-5290	1076	19	ratios	ratio	NOUN
aiti-5290	1076	20	to	to	PART
aiti-5290	1076	21	trigger	trigger	VERB
aiti-5290	1076	22	i.r	i.r	PROPN
aiti-5290	1076	23	.	.	PUNCT
aiti-5290	1077	1	(	(	PUNCT
aiti-5290	1077	2	5	5	NUM
aiti-5290	1077	3	)	)	PUNCT
aiti-5290	1077	4	for	for	ADP
aiti-5290	1077	5	the	the	DET
aiti-5290	1077	6	case	case	NOUN
aiti-5290	1077	7	of	of	ADP
aiti-5290	1077	8	the	the	DET
aiti-5290	1077	9	double	double	ADJ
aiti-5290	1077	10	section	section	NOUN
aiti-5290	1077	11	beam	beam	NOUN
aiti-5290	1077	12	,	,	PUNCT
aiti-5290	1077	13	the	the	DET
aiti-5290	1077	14	internal	internal	ADJ
aiti-5290	1077	15	resonance	resonance	NOUN
aiti-5290	1077	16	has	have	VERB
aiti-5290	1077	17	greater	great	ADJ
aiti-5290	1077	18	effects	effect	NOUN
aiti-5290	1077	19	than	than	ADP
aiti-5290	1077	20	the	the	DET
aiti-5290	1077	21	primary	primary	ADJ
aiti-5290	1077	22	resonance	resonance	NOUN
aiti-5290	1077	23	and	and	CCONJ
aiti-5290	1077	24	should	should	AUX
aiti-5290	1077	25	be	be	AUX
aiti-5290	1077	26	noticed	notice	VERB
aiti-5290	1077	27	in	in	ADP
aiti-5290	1077	28	this	this	DET
aiti-5290	1077	29	forcing	force	VERB
aiti-5290	1077	30	condition	condition	NOUN
aiti-5290	1077	31	.	.	PUNCT
aiti-5290	1078	1	this	this	DET
aiti-5290	1078	2	study	study	NOUN
aiti-5290	1078	3	reveals	reveal	VERB
aiti-5290	1078	4	the	the	DET
aiti-5290	1078	5	fight	fight	NOUN
aiti-5290	1078	6	conditions	condition	NOUN
aiti-5290	1078	7	to	to	PART
aiti-5290	1078	8	trigger	trigger	VERB
aiti-5290	1078	9	primary	primary	ADJ
aiti-5290	1078	10	resonance	resonance	NOUN
aiti-5290	1078	11	or	or	CCONJ
aiti-5290	1078	12	internal	internal	ADJ
aiti-5290	1078	13	resonance	resonance	NOUN
aiti-5290	1078	14	.	.	PUNCT
aiti-5290	1079	1	however	however	ADV
aiti-5290	1079	2	,	,	PUNCT
aiti-5290	1079	3	the	the	DET
aiti-5290	1079	4	vibration	vibration	NOUN
aiti-5290	1079	5	of	of	ADP
aiti-5290	1079	6	the	the	DET
aiti-5290	1079	7	beam	beam	NOUN
aiti-5290	1079	8	structure	structure	NOUN
aiti-5290	1079	9	still	still	ADV
aiti-5290	1079	10	exists	exist	VERB
aiti-5290	1079	11	.	.	PUNCT
aiti-5290	1080	1	the	the	DET
aiti-5290	1080	2	investigations	investigation	NOUN
aiti-5290	1080	3	of	of	ADP
aiti-5290	1080	4	vibration	vibration	NOUN
aiti-5290	1080	5	reduction	reduction	NOUN
aiti-5290	1080	6	on	on	ADP
aiti-5290	1080	7	the	the	DET
aiti-5290	1080	8	3d	3d	NOUN
aiti-5290	1080	9	beam	beam	NOUN
aiti-5290	1080	10	or	or	CCONJ
aiti-5290	1080	11	rocket	rocket	NOUN
aiti-5290	1080	12	model	model	NOUN
aiti-5290	1080	13	deserve	deserve	VERB
aiti-5290	1080	14	an	an	DET
aiti-5290	1080	15	extension	extension	NOUN
aiti-5290	1080	16	study	study	NOUN
aiti-5290	1080	17	on	on	ADP
aiti-5290	1080	18	this	this	DET
aiti-5290	1080	19	research	research	NOUN
aiti-5290	1080	20	.	.	PUNCT
aiti-5290	1081	1	the	the	DET
aiti-5290	1081	2	tuned	tune	VERB
aiti-5290	1081	3	mass	mass	ADJ
aiti-5290	1081	4	damper	damper	NOUN
aiti-5290	1081	5	(	(	PUNCT
aiti-5290	1081	6	tmd	tmd	NOUN
aiti-5290	1081	7	)	)	PUNCT
aiti-5290	1081	8	or	or	CCONJ
aiti-5290	1081	9	the	the	DET
aiti-5290	1081	10	damping	damp	VERB
aiti-5290	1081	11	ring	ring	NOUN
aiti-5290	1081	12	may	may	AUX
aiti-5290	1081	13	be	be	AUX
aiti-5290	1081	14	added	add	VERB
aiti-5290	1081	15	to	to	PART
aiti-5290	1081	16	see	see	VERB
aiti-5290	1081	17	the	the	DET
aiti-5290	1081	18	damping	damp	VERB
aiti-5290	1081	19	effects	effect	NOUN
aiti-5290	1081	20	on	on	ADP
aiti-5290	1081	21	the	the	DET
aiti-5290	1081	22	vibration	vibration	NOUN
aiti-5290	1081	23	beam	beam	NOUN
aiti-5290	1081	24	.	.	PUNCT
aiti-5290	1082	1	since	since	SCONJ
aiti-5290	1082	2	the	the	DET
aiti-5290	1082	3	nonlinear	nonlinear	ADJ
aiti-5290	1082	4	phenomenon	phenomenon	NOUN
aiti-5290	1082	5	is	be	AUX
aiti-5290	1082	6	difficult	difficult	ADJ
aiti-5290	1082	7	to	to	PART
aiti-5290	1082	8	be	be	AUX
aiti-5290	1082	9	observed	observe	VERB
aiti-5290	1082	10	experimentally	experimentally	ADV
aiti-5290	1082	11	,	,	PUNCT
aiti-5290	1082	12	the	the	DET
aiti-5290	1082	13	experimental	experimental	ADJ
aiti-5290	1082	14	setup	setup	NOUN
aiti-5290	1082	15	for	for	ADP
aiti-5290	1082	16	verification	verification	NOUN
aiti-5290	1082	17	of	of	ADP
aiti-5290	1082	18	the	the	DET
aiti-5290	1082	19	present	present	ADJ
aiti-5290	1082	20	predictions	prediction	NOUN
aiti-5290	1082	21	is	be	AUX
aiti-5290	1082	22	suggested	suggest	VERB
aiti-5290	1082	23	in	in	ADP
aiti-5290	1082	24	future	future	ADJ
aiti-5290	1082	25	research	research	NOUN
aiti-5290	1082	26	.	.	PUNCT
aiti-5290	1083	1	acknowledgement	acknowledgement	NOUN
aiti-5290	1083	2	this	this	DET
aiti-5290	1083	3	research	research	NOUN
aiti-5290	1083	4	was	be	AUX
aiti-5290	1083	5	supported	support	VERB
aiti-5290	1083	6	by	by	ADP
aiti-5290	1083	7	the	the	DET
aiti-5290	1083	8	ministry	ministry	PROPN
aiti-5290	1083	9	of	of	ADP
aiti-5290	1083	10	science	science	NOUN
aiti-5290	1083	11	and	and	CCONJ
aiti-5290	1083	12	technology	technology	NOUN
aiti-5290	1083	13	of	of	ADP
aiti-5290	1083	14	taiwan	taiwan	PROPN
aiti-5290	1083	15	,	,	PUNCT
aiti-5290	1083	16	republic	republic	NOUN
aiti-5290	1083	17	of	of	ADP
aiti-5290	1083	18	china	china	PROPN
aiti-5290	1083	19	(	(	PUNCT
aiti-5290	1083	20	grant	grant	PROPN
aiti-5290	1083	21	number	number	NOUN
aiti-5290	1083	22	:	:	PUNCT
aiti-5290	1083	23	most	most	ADJ
aiti-5290	1083	24	108	108	NUM
aiti-5290	1083	25	-	-	SYM
aiti-5290	1083	26	2218	2218	NUM
aiti-5290	1083	27	-	-	PUNCT
aiti-5290	1083	28	e-006	e-006	NOUN
aiti-5290	1083	29	-	-	NUM
aiti-5290	1083	30	021	021	NUM
aiti-5290	1083	31	)	)	PUNCT
aiti-5290	1083	32	.	.	PUNCT
aiti-5290	1084	1	conflicts	conflict	NOUN
aiti-5290	1084	2	of	of	ADP
aiti-5290	1084	3	interest	interest	NOUN
aiti-5290	1084	4	the	the	DET
aiti-5290	1084	5	authors	author	NOUN
aiti-5290	1084	6	declare	declare	VERB
aiti-5290	1084	7	no	no	DET
aiti-5290	1084	8	conflict	conflict	NOUN
aiti-5290	1084	9	of	of	ADP
aiti-5290	1084	10	interest	interest	NOUN
aiti-5290	1084	11	advances	advance	NOUN
aiti-5290	1084	12	in	in	ADP
aiti-5290	1084	13	technology	technology	NOUN
aiti-5290	1084	14	innovation	innovation	NOUN
aiti-5290	1084	15	,	,	PUNCT
aiti-5290	1084	16	vol	vol	NOUN
aiti-5290	1084	17	.	.	PROPN
aiti-5290	1084	18	5	5	NUM
aiti-5290	1084	19	,	,	PUNCT
aiti-5290	1084	20	no	no	INTJ
aiti-5290	1084	21	.	.	NOUN
aiti-5290	1084	22	4	4	NUM
aiti-5290	1084	23	,	,	PUNCT
aiti-5290	1084	24	2020	2020	NUM
aiti-5290	1084	25	,	,	PUNCT
aiti-5290	1084	26	pp	pp	ADV
aiti-5290	1084	27	.	.	PUNCT
aiti-5290	1085	1	270	270	NUM
aiti-5290	1085	2	-	-	SYM
aiti-5290	1085	3	291	291	NUM
aiti-5290	1085	4	288	288	NUM
aiti-5290	1085	5	appendix	appendix	NOUN
aiti-5290	1085	6	the	the	DET
aiti-5290	1085	7	secular	secular	ADJ
aiti-5290	1085	8	terms	term	NOUN
aiti-5290	1085	9	for	for	ADP
aiti-5290	1085	10	s0	s0	PROPN
aiti-5290	1085	11	,	,	PUNCT
aiti-5290	1085	12	s6	s6	PROPN
aiti-5290	1085	13	−	−	PROPN
aiti-5290	1085	14	2s0	2s0	NUM
aiti-5290	1085	15	harmonics	harmonic	NOUN
aiti-5290	1085	16	of	of	ADP
aiti-5290	1085	17	the	the	DET
aiti-5290	1085	18	y	y	PROPN
aiti-5290	1085	19	-	-	PUNCT
aiti-5290	1085	20	dir	dir	PROPN
aiti-5290	1085	21	.	.	PUNCT
aiti-5290	1086	1	1st	1st	ADJ
aiti-5290	1086	2	mode	mode	NOUN
aiti-5290	1086	3	(	(	PUNCT
aiti-5290	1086	4	m	m	NOUN
aiti-5290	1086	5	=	=	NOUN
aiti-5290	1086	6	1	1	NUM
aiti-5290	1086	7	)	)	PUNCT
aiti-5290	1086	8	are	be	AUX
aiti-5290	1086	9	:	:	PUNCT
aiti-5290	1086	10	1	1	NUM
aiti-5290	1086	11	1	1	NUM
aiti-5290	1086	12	1	1	NUM
aiti-5290	1086	13	1	1	NUM
aiti-5290	1086	14	1	1	NUM
aiti-5290	1086	15	2	2	NUM
aiti-5290	1086	16	1	1	NUM
aiti-5290	1086	17	1	1	NUM
aiti-5290	1086	18	1	1	NUM
aiti-5290	1086	19	1	1	NUM
aiti-5290	1086	20	1	1	NUM
aiti-5290	1086	21	1	1	NUM
aiti-5290	1086	22	2	2	NUM
aiti-5290	1086	23	(	(	PUNCT
aiti-5290	1086	24	2	2	NUM
aiti-5290	1086	25	)	)	SYM
aiti-5290	1086	26	2	2	NUM
aiti-5290	1086	27	2	2	NUM
aiti-5290	1086	28	1	1	NUM
aiti-5290	1086	29	1	1	NUM
aiti-5290	1086	30	1	1	NUM
aiti-5290	1086	31	1	1	NUM
aiti-5290	1086	32	1	1	NUM
aiti-5290	1086	33	1	1	NUM
aiti-5290	1086	34	1	1	NUM
aiti-5290	1086	35	1	1	NUM
aiti-5290	1086	36	1	1	NUM
aiti-5290	1086	37	1	1	NUM
aiti-5290	1086	38	1	1	NUM
aiti-5290	1086	39	1	1	NUM
aiti-5290	1086	40	2	2	NUM
aiti-5290	1086	41	2	2	NUM
aiti-5290	1086	42	(	(	PUNCT
aiti-5290	1086	43	2	2	NUM
aiti-5290	1086	44	)	)	PUNCT
aiti-5290	1086	45	(	(	PUNCT
aiti-5290	1086	46	)	)	SYM
aiti-5290	1086	47	2	2	NUM
aiti-5290	1086	48	1	1	NUM
aiti-5290	1086	49	2	2	NUM
aiti-5290	1086	50	2	2	NUM
aiti-5290	1086	51	3	3	NUM
aiti-5290	1086	52	1	1	NUM
aiti-5290	1086	53	1	1	NUM
aiti-5290	1086	54	1	1	NUM
aiti-5290	1086	55	1	1	NUM
aiti-5290	1086	56	1	1	NUM
aiti-5290	1086	57	1	1	NUM
aiti-5290	1086	58	1	1	NUM
aiti-5290	1086	59	1	1	NUM
aiti-5290	1086	60	2	2	NUM
aiti-5290	1086	61	4	4	NUM
aiti-5290	1086	62	2	2	NUM
aiti-5290	1086	63	2	2	NUM
aiti-5290	1086	64	1	1	NUM
aiti-5290	1086	65	ˆ2	ˆ2	NOUN
aiti-5290	1086	66	(	(	PUNCT
aiti-5290	1086	67	)	)	PUNCT
aiti-5290	1086	68	(	(	PUNCT
aiti-5290	1086	69	)	)	PUNCT
aiti-5290	1086	70	3	3	NUM
aiti-5290	1086	71	2	2	NUM
aiti-5290	1086	72	(	(	PUNCT
aiti-5290	1086	73	2	2	NUM
aiti-5290	1086	74	)	)	PUNCT
aiti-5290	1086	75	y	y	PROPN
aiti-5290	1087	1	y	y	PROPN
aiti-5290	1087	2	y	y	PROPN
aiti-5290	1087	3	y	y	PROPN
aiti-5290	1087	4	y	y	PROPN
aiti-5290	1087	5	y	y	PROPN
aiti-5290	1087	6	y	y	PROPN
aiti-5290	1087	7	y	y	PROPN
aiti-5290	1087	8	y	y	PROPN
aiti-5290	1087	9	z	z	PROPN
aiti-5290	1087	10	y	y	PROPN
aiti-5290	1087	11	z	z	NOUN
aiti-5290	1087	12	z	z	NOUN
aiti-5290	1088	1	i	i	PRON
aiti-5290	1088	2	i	i	PRON
aiti-5290	1089	1	i	i	PRON
aiti-5290	1089	2	i	i	PRON
aiti-5290	1090	1	i	i	VERB
aiti-5290	1090	2	y	y	VERB
aiti-5290	1091	1	y	y	VERB
aiti-5290	1091	2	y	y	PROPN
aiti-5290	1091	3	y	y	PROPN
aiti-5290	1091	4	d	d	PROPN
aiti-5290	1091	5	u	u	X
aiti-5290	1091	6	y	y	PROPN
aiti-5290	1091	7	y	y	PROPN
aiti-5290	1091	8	y	y	PROPN
aiti-5290	1091	9	y	y	PROPN
aiti-5290	1092	1	y	y	INTJ
aiti-5290	1092	2	i	i	PRON
aiti-5290	1093	1	i	i	VERB
aiti-5290	1093	2	y	y	VERB
aiti-5290	1093	3	y	y	VERB
aiti-5290	1093	4	y	y	PROPN
aiti-5290	1093	5	y	y	PROPN
aiti-5290	1094	1	z	z	PROPN
aiti-5290	1094	2	z	z	VERB
aiti-5290	1095	1	y	y	PROPN
aiti-5290	1095	2	z	z	NOUN
aiti-5290	1095	3	y	y	PROPN
aiti-5290	1095	4	z	z	PROPN
aiti-5290	1095	5	z	z	VERB
aiti-5290	1096	1	y	y	PROPN
aiti-5290	1096	2	z	z	NOUN
aiti-5290	1097	1	i	i	PRON
aiti-5290	1097	2	b	b	X
aiti-5290	1097	3	e	e	X
aiti-5290	1097	4	b	b	PROPN
aiti-5290	1098	1	e	e	X
aiti-5290	1098	2	c	c	PROPN
aiti-5290	1098	3	a	a	PRON
aiti-5290	1098	4	i	i	NOUN
aiti-5290	1098	5	b	b	PROPN
aiti-5290	1098	6	e	e	PROPN
aiti-5290	1098	7	b	b	PROPN
aiti-5290	1098	8	b	b	PROPN
aiti-5290	1098	9	e	e	PROPN
aiti-5290	1098	10	c	c	PROPN
aiti-5290	1098	11	b	b	PROPN
aiti-5290	1098	12	b	b	PROPN
aiti-5290	1098	13	e	e	PROPN
aiti-5290	1098	14	c	c	PROPN
aiti-5290	1098	15	b	b	PROPN
aiti-5290	1098	16	b	b	PROPN
aiti-5290	1098	17	b	b	PROPN
aiti-5290	1098	18	e	e	PROPN
aiti-5290	1098	19	c	c	PROPN
aiti-5290	1098	20	b	b	PROPN
aiti-5290	1098	21	b	b	PROPN
aiti-5290	1098	22	b	b	PROPN
aiti-5290	1098	23	e	e	PROPN
aiti-5290	1098	24	b	b	PROPN
aiti-5290	1098	25	b	b	PROPN
aiti-5290	1098	26	e	e	PROPN
aiti-5290	1098	27	c	c	PROPN
aiti-5290	1098	28	b	b	PROPN
aiti-5290	1098	29	b	b	PROPN
aiti-5290	1098	30	b	b	PROPN
aiti-5290	1098	31	e	e	PROPN
aiti-5290	1098	32	c	c	PROPN
aiti-5290	1098	33	b	b	PROPN
aiti-5290	1098	34	b	b	PROPN
aiti-5290	1098	35	e	e	X
aiti-5290	1098	36	ς	ς	PROPN
aiti-5290	1098	37	ς	ς	PROPN
aiti-5290	1098	38	ς	ς	PROPN
aiti-5290	1098	39	ς	ς	PROPN
aiti-5290	1098	40	ς	ς	PROPN
aiti-5290	1098	41	ς	ς	PROPN
aiti-5290	1098	42	ς	ς	PROPN
aiti-5290	1098	43	ς	ς	PROPN
aiti-5290	1098	44	ς	ς	PROPN
aiti-5290	1098	45	ς	ς	PROPN
aiti-5290	1098	46	ς	ς	PROPN
aiti-5290	1098	47	ς	ς	PROPN
aiti-5290	1098	48	ς	ς	PROPN
aiti-5290	1098	49	ω	ω	PROPN
aiti-5290	1098	50	ω	ω	PROPN
aiti-5290	1098	51	ς	ς	PROPN
aiti-5290	1098	52	ω	ω	NUM
aiti-5290	1098	53	−	−	PROPN
aiti-5290	1098	54	−	−	PROPN
aiti-5290	1098	55	−	−	PROPN
aiti-5290	1098	56	−	−	PROPN
aiti-5290	1098	57	−	−	PROPN
aiti-5290	1098	58	−	−	PROPN
aiti-5290	1099	1	+	+	CCONJ
aiti-5290	1099	2	−	−	PROPN
aiti-5290	1099	3	−	−	NUM
aiti-5290	1099	4	−	−	NOUN
aiti-5290	1100	1	−	−	PROPN
aiti-5290	1101	1	+	+	CCONJ
aiti-5290	1101	2	−	−	PROPN
aiti-5290	1101	3	−	−	NUM
aiti-5290	1101	4	−	−	PROPN
aiti-5290	1102	1	+	+	CCONJ
aiti-5290	1102	2	′	′	NUM
aiti-5290	1102	3	′−	′−	NOUN
aiti-5290	1102	4	+	+	CCONJ
aiti-5290	1102	5	−	−	PROPN
aiti-5290	1102	6	−	−	NUM
aiti-5290	1102	7	−	−	PROPN
aiti-5290	1102	8	−	−	PROPN
aiti-5290	1102	9	−	−	PROPN
aiti-5290	1102	10	−	−	PROPN
aiti-5290	1103	1	+	+	CCONJ
aiti-5290	1103	2	−	−	PROPN
aiti-5290	1103	3	−	−	PROPN
aiti-5290	1103	4	ɶ	ɶ	PROPN
aiti-5290	1103	5	ɶ	ɶ	PROPN
aiti-5290	1103	6	ɶ	ɶ	PROPN
aiti-5290	1103	7	ɶ	ɶ	PROPN
aiti-5290	1103	8	ɶ	ɶ	ADP
aiti-5290	1103	9	2	2	NUM
aiti-5290	1103	10	1	1	NUM
aiti-5290	1103	11	1	1	NUM
aiti-5290	1103	12	2	2	NUM
aiti-5290	1103	13	1	1	NUM
aiti-5290	1103	14	2	2	NUM
aiti-5290	1103	15	2	2	NUM
aiti-5290	1103	16	1	1	NUM
aiti-5290	1103	17	2	2	NUM
aiti-5290	1103	18	1	1	NUM
aiti-5290	1103	19	1	1	NUM
aiti-5290	1103	20	2	2	NUM
aiti-5290	1103	21	1	1	NUM
aiti-5290	1103	22	1	1	NUM
aiti-5290	1103	23	2	2	NUM
aiti-5290	1103	24	(	(	PUNCT
aiti-5290	1103	25	2	2	NUM
aiti-5290	1103	26	)	)	PUNCT
aiti-5290	1103	27	(	(	PUNCT
aiti-5290	1103	28	)	)	PUNCT
aiti-5290	1103	29	(	(	PUNCT
aiti-5290	1103	30	)	)	PUNCT
aiti-5290	1103	31	5	5	NUM
aiti-5290	1103	32	1	1	NUM
aiti-5290	1103	33	2	2	NUM
aiti-5290	1103	34	2	2	NUM
aiti-5290	1103	35	6	6	NUM
aiti-5290	1103	36	2	2	NUM
aiti-5290	1103	37	1	1	NUM
aiti-5290	1103	38	2	2	NUM
aiti-5290	1103	39	2	2	NUM
aiti-5290	1103	40	1	1	NUM
aiti-5290	1103	41	2	2	NUM
aiti-5290	1103	42	7	7	NUM
aiti-5290	1103	43	(	(	PUNCT
aiti-5290	1103	44	2	2	NUM
aiti-5290	1103	45	)	)	PUNCT
aiti-5290	1103	46	(	(	PUNCT
aiti-5290	1103	47	2	2	NUM
aiti-5290	1103	48	)	)	SYM
aiti-5290	1103	49	2	2	NUM
aiti-5290	1103	50	2	2	NUM
aiti-5290	1103	51	2	2	NUM
aiti-5290	1103	52	2	2	NUM
aiti-5290	1103	53	2	2	NUM
aiti-5290	1103	54	1	1	NUM
aiti-5290	1103	55	1	1	NUM
aiti-5290	1103	56	1	1	NUM
aiti-5290	1103	57	16	16	NUM
aiti-5290	1103	58	1	1	NUM
aiti-5290	1103	59	2	2	NUM
aiti-5290	1103	60	17	17	NUM
aiti-5290	1103	61	18	18	NUM
aiti-5290	1103	62	1	1	NUM
aiti-5290	1103	63	2	2	NUM
aiti-5290	1103	64	2	2	NUM
aiti-5290	1103	65	19	19	NUM
aiti-5290	1103	66	2	2	NUM
aiti-5290	1103	67	1	1	NUM
aiti-5290	1103	68	2	2	NUM
aiti-5290	1103	69	17	17	NUM
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aiti-5290	1120	25	2	2	NUM
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aiti-5290	1120	82	(	(	PUNCT
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aiti-5290	1120	85	y	y	PROPN
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aiti-5290	1123	2	i	i	VERB
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aiti-5290	1124	2	y	y	VERB
aiti-5290	1124	3	y	y	PROPN
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aiti-5290	1124	5	y	y	PROPN
aiti-5290	1124	6	y	y	PROPN
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aiti-5290	1126	4	y	y	PROPN
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aiti-5290	1128	1	y	y	PROPN
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aiti-5290	1128	41	ς	ς	PROPN
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aiti-5290	1128	52	ω	ω	PROPN
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aiti-5290	1130	4	−	−	NOUN
aiti-5290	1131	1	−	−	PROPN
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aiti-5290	1132	4	−	−	PROPN
aiti-5290	1133	1	+	+	CCONJ
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aiti-5290	1135	2	−	−	PROPN
aiti-5290	1136	1	+	+	CCONJ
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aiti-5290	1136	4	ɶ	ɶ	PROPN
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aiti-5290	1138	5	y	y	PROPN
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aiti-5290	1139	4	y	y	PROPN
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aiti-5290	1141	1	i	i	PRON
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aiti-5290	1142	1	i	i	VERB
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aiti-5290	1142	4	z	z	VERB
aiti-5290	1143	1	y	y	PROPN
aiti-5290	1143	2	z	z	NOUN
aiti-5290	1143	3	z	z	NOUN
aiti-5290	1143	4	y	y	PROPN
aiti-5290	1143	5	z	z	NOUN
aiti-5290	1143	6	z	z	NOUN
aiti-5290	1143	7	c	c	PROPN
aiti-5290	1143	8	b	b	X
aiti-5290	1143	9	b	b	PROPN
aiti-5290	1143	10	e	e	PROPN
aiti-5290	1143	11	c	c	PROPN
aiti-5290	1143	12	b	b	PROPN
aiti-5290	1143	13	b	b	PROPN
aiti-5290	1143	14	b	b	PROPN
aiti-5290	1143	15	e	e	PROPN
aiti-5290	1143	16	b	b	PROPN
aiti-5290	1143	17	b	b	PROPN
aiti-5290	1143	18	b	b	PROPN
aiti-5290	1143	19	e	e	PROPN
aiti-5290	1143	20	c	c	PROPN
aiti-5290	1143	21	b	b	PROPN
aiti-5290	1143	22	b	b	PROPN
aiti-5290	1143	23	b	b	PROPN
aiti-5290	1143	24	e	e	PROPN
aiti-5290	1143	25	c	c	PROPN
aiti-5290	1143	26	b	b	PROPN
aiti-5290	1143	27	b	b	PROPN
aiti-5290	1143	28	b	b	PROPN
aiti-5290	1143	29	e	e	PROPN
aiti-5290	1143	30	c	c	PROPN
aiti-5290	1143	31	b	b	PROPN
aiti-5290	1143	32	b	b	PROPN
aiti-5290	1143	33	b	b	PROPN
aiti-5290	1143	34	e	e	PROPN
aiti-5290	1143	35	b	b	PROPN
aiti-5290	1143	36	b	b	PROPN
aiti-5290	1143	37	b	b	PROPN
aiti-5290	1143	38	e	e	X
aiti-5290	1143	39	ς	ς	PROPN
aiti-5290	1143	40	ς	ς	PROPN
aiti-5290	1143	41	ς	ς	PROPN
aiti-5290	1143	42	ς	ς	PROPN
aiti-5290	1143	43	ς	ς	PROPN
aiti-5290	1143	44	ς	ς	PROPN
aiti-5290	1143	45	ς	ς	PROPN
aiti-5290	1143	46	ς	ς	PROPN
aiti-5290	1143	47	ς	ς	PROPN
aiti-5290	1143	48	ς	ς	PROPN
aiti-5290	1143	49	ς	ς	PROPN
aiti-5290	1143	50	ς	ς	PROPN
aiti-5290	1143	51	ς	ς	PROPN
aiti-5290	1143	52	ς	ς	PROPN
aiti-5290	1143	53	ς	ς	PROPN
aiti-5290	1143	54	ς	ς	PROPN
aiti-5290	1143	55	ς	ς	PROPN
aiti-5290	1143	56	ς	ς	PROPN
aiti-5290	1143	57	ς	ς	PROPN
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aiti-5290	1143	59	+	+	CCONJ
aiti-5290	1143	60	−	−	PROPN
aiti-5290	1143	61	−	−	NUM
aiti-5290	1143	62	−	−	PROPN
aiti-5290	1144	1	+	+	CCONJ
aiti-5290	1144	2	−	−	PROPN
aiti-5290	1144	3	−	−	NOUN
aiti-5290	1144	4	−	−	PROPN
aiti-5290	1145	1	+	+	CCONJ
aiti-5290	1146	1	+	+	NUM
aiti-5290	1146	2	−	−	NOUN
aiti-5290	1146	3	−	−	NUM
aiti-5290	1146	4	−	−	PROPN
aiti-5290	1147	1	+	+	CCONJ
aiti-5290	1147	2	−	−	PROPN
aiti-5290	1147	3	−	−	PROPN
aiti-5290	1148	1	+	+	CCONJ
aiti-5290	1148	2	−	−	PROPN
aiti-5290	1148	3	−	−	NOUN
aiti-5290	1148	4	−	−	PROPN
aiti-5290	1149	1	+	+	CCONJ
aiti-5290	1149	2	+	+	PUNCT
aiti-5290	1150	1	+	+	PUNCT
aiti-5290	1150	2	+	+	PUNCT
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aiti-5290	1150	11	ɶ	ɶ	ADP
aiti-5290	1150	12	2	2	NUM
aiti-5290	1150	13	1	1	NUM
aiti-5290	1150	14	1	1	NUM
aiti-5290	1150	15	1	1	NUM
aiti-5290	1150	16	1	1	NUM
aiti-5290	1150	17	1	1	NUM
aiti-5290	1150	18	1	1	NUM
aiti-5290	1150	19	2	2	NUM
aiti-5290	1150	20	2	2	NUM
aiti-5290	1150	21	1	1	NUM
aiti-5290	1150	22	2	2	NUM
aiti-5290	1150	23	1	1	NUM
aiti-5290	1150	24	2	2	NUM
aiti-5290	1150	25	2	2	NUM
aiti-5290	1150	26	1	1	NUM
aiti-5290	1150	27	)	)	PUNCT
aiti-5290	1150	28	2	2	NUM
aiti-5290	1150	29	19	19	NUM
aiti-5290	1150	30	1	1	NUM
aiti-5290	1150	31	1	1	NUM
aiti-5290	1150	32	1	1	NUM
aiti-5290	1150	33	1	1	NUM
aiti-5290	1150	34	(	(	PUNCT
aiti-5290	1150	35	2	2	NUM
aiti-5290	1150	36	)	)	PUNCT
aiti-5290	1150	37	(	(	PUNCT
aiti-5290	1150	38	)	)	PUNCT
aiti-5290	1150	39	(	(	PUNCT
aiti-5290	1150	40	2	2	NUM
aiti-5290	1150	41	)	)	SYM
aiti-5290	1150	42	2	2	NUM
aiti-5290	1150	43	2	2	NUM
aiti-5290	1150	44	2	2	NUM
aiti-5290	1150	45	2	2	NUM
aiti-5290	1150	46	1	1	NUM
aiti-5290	1150	47	1	1	NUM
aiti-5290	1150	48	16	16	NUM
aiti-5290	1150	49	2	2	NUM
aiti-5290	1150	50	1	1	NUM
aiti-5290	1150	51	2	2	NUM
aiti-5290	1150	52	2	2	NUM
aiti-5290	1150	53	20	20	NUM
aiti-5290	1150	54	1	1	NUM
aiti-5290	1150	55	2	2	NUM
aiti-5290	1150	56	1	1	NUM
aiti-5290	1150	57	1	1	NUM
aiti-5290	1150	58	2	2	NUM
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aiti-5290	1150	60	1	1	NUM
aiti-5290	1150	61	2	2	NUM
aiti-5290	1150	62	1	1	NUM
aiti-5290	1150	63	18	18	NUM
aiti-5290	1150	64	(	(	PUNCT
aiti-5290	1150	65	)	)	PUNCT
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aiti-5290	1150	67	1	1	NUM
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aiti-5290	1150	69	2	2	NUM
aiti-5290	1150	70	1	1	NUM
aiti-5290	1150	71	2	2	NUM
aiti-5290	1150	72	2	2	NUM
aiti-5290	1150	73	1	1	NUM
aiti-5290	1150	74	2	2	NUM
aiti-5290	1150	75	)	)	PUNCT
aiti-5290	1150	76	]	]	PUNCT
aiti-5290	1150	77	(	(	PUNCT
aiti-5290	1150	78	2	2	X
aiti-5290	1150	79	)	)	PUNCT
aiti-5290	1150	80	2	2	NUM
aiti-5290	1150	81	2	2	NUM
aiti-5290	1150	82	2	2	NUM
aiti-5290	1150	83	(	(	PUNCT
aiti-5290	1150	84	z	z	NOUN
aiti-5290	1150	85	y	y	PROPN
aiti-5290	1150	86	y	y	PROPN
aiti-5290	1150	87	z	z	PROPN
aiti-5290	1150	88	y	y	PROPN
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aiti-5290	1150	91	z	z	VERB
aiti-5290	1151	1	y	y	PROPN
aiti-5290	1151	2	z	z	NOUN
aiti-5290	1151	3	y	y	PROPN
aiti-5290	1151	4	z	z	PROPN
aiti-5290	1151	5	z	z	VERB
aiti-5290	1152	1	y	y	PROPN
aiti-5290	1152	2	z	z	NOUN
aiti-5290	1153	1	i	i	PRON
aiti-5290	1153	2	y	y	VERB
aiti-5290	1153	3	z	z	NOUN
aiti-5290	1153	4	z	z	NOUN
aiti-5290	1154	1	i	i	PRON
aiti-5290	1154	2	y	y	PROPN
aiti-5290	1154	3	z	z	VERB
aiti-5290	1154	4	y	y	PROPN
aiti-5290	1154	5	z	z	PROPN
aiti-5290	1154	6	z	z	VERB
aiti-5290	1155	1	y	y	PROPN
aiti-5290	1155	2	z	z	NOUN
aiti-5290	1155	3	z	z	NOUN
aiti-5290	1156	1	y	y	PROPN
aiti-5290	1156	2	z	z	NOUN
aiti-5290	1157	1	i	i	PRON
aiti-5290	1157	2	i	i	VERB
aiti-5290	1157	3	y	y	VERB
aiti-5290	1157	4	z	z	NOUN
aiti-5290	1157	5	z	z	VERB
aiti-5290	1158	1	y	y	PROPN
aiti-5290	1158	2	z	z	NOUN
aiti-5290	1158	3	z	z	NOUN
aiti-5290	1158	4	c	c	PROPN
aiti-5290	1158	5	b	b	X
aiti-5290	1158	6	b	b	PROPN
aiti-5290	1158	7	b	b	PROPN
aiti-5290	1158	8	e	e	PROPN
aiti-5290	1158	9	b	b	PROPN
aiti-5290	1158	10	b	b	PROPN
aiti-5290	1158	11	e	e	PROPN
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aiti-5290	1158	14	b	b	PROPN
aiti-5290	1158	15	b	b	PROPN
aiti-5290	1158	16	e	e	PROPN
aiti-5290	1158	17	c	c	PROPN
aiti-5290	1158	18	b	b	PROPN
aiti-5290	1158	19	b	b	PROPN
aiti-5290	1158	20	b	b	PROPN
aiti-5290	1158	21	e	e	PROPN
aiti-5290	1158	22	c	c	PROPN
aiti-5290	1158	23	b	b	PROPN
aiti-5290	1158	24	b	b	PROPN
aiti-5290	1158	25	e	e	PROPN
aiti-5290	1158	26	c	c	PROPN
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aiti-5290	1158	28	b	b	PROPN
aiti-5290	1158	29	b	b	PROPN
aiti-5290	1158	30	e	e	PROPN
aiti-5290	1158	31	b	b	PROPN
aiti-5290	1158	32	b	b	PROPN
aiti-5290	1158	33	b	b	PROPN
aiti-5290	1158	34	e	e	X
aiti-5290	1158	35	ς	ς	PROPN
aiti-5290	1158	36	ς	ς	PROPN
aiti-5290	1158	37	ς	ς	PROPN
aiti-5290	1158	38	ς	ς	PROPN
aiti-5290	1158	39	ς	ς	PROPN
aiti-5290	1158	40	ς	ς	PROPN
aiti-5290	1158	41	ς	ς	PROPN
aiti-5290	1158	42	ς	ς	PROPN
aiti-5290	1158	43	ς	ς	PROPN
aiti-5290	1158	44	ς	ς	PROPN
aiti-5290	1158	45	ς	ς	PROPN
aiti-5290	1158	46	ς	ς	PROPN
aiti-5290	1158	47	ς	ς	PROPN
aiti-5290	1158	48	ς	ς	PROPN
aiti-5290	1158	49	ς	ς	PROPN
aiti-5290	1158	50	ω	ω	PROPN
aiti-5290	1158	51	ω	ω	PROPN
aiti-5290	1158	52	ω	ω	PROPN
aiti-5290	1158	53	ω	ω	PROPN
aiti-5290	1158	54	ω	ω	PROPN
aiti-5290	1158	55	ω	ω	PROPN
aiti-5290	1158	56	ω	ω	PROPN
aiti-5290	1159	1	+	+	CCONJ
aiti-5290	1159	2	−	−	PROPN
aiti-5290	1159	3	−	−	NUM
aiti-5290	1160	1	−	−	PROPN
aiti-5290	1161	1	+	+	CCONJ
aiti-5290	1161	2	−	−	PROPN
aiti-5290	1161	3	−	−	NUM
aiti-5290	1161	4	−	−	NOUN
aiti-5290	1162	1	−	−	PROPN
aiti-5290	1163	1	+	+	CCONJ
aiti-5290	1163	2	−	−	PROPN
aiti-5290	1163	3	−	−	NUM
aiti-5290	1163	4	−	−	PROPN
aiti-5290	1164	1	+	+	CCONJ
aiti-5290	1164	2	−	−	PROPN
aiti-5290	1164	3	−	−	NOUN
aiti-5290	1164	4	−	−	PROPN
aiti-5290	1165	1	+	+	CCONJ
aiti-5290	1166	1	+	+	CCONJ
aiti-5290	1166	2	−	−	X
aiti-5290	1167	1	+	+	CCONJ
aiti-5290	1167	2	−	−	PROPN
aiti-5290	1167	3	−	−	PROPN
aiti-5290	1168	1	+	+	CCONJ
aiti-5290	1168	2	−	−	PROPN
aiti-5290	1168	3	−	−	PROPN
aiti-5290	1169	1	+	+	CCONJ
aiti-5290	1170	1	ɶ	ɶ	PROPN
aiti-5290	1170	2	ɶ	ɶ	PROPN
aiti-5290	1170	3	ɶ	ɶ	PROPN
aiti-5290	1170	4	ɶ	ɶ	PROPN
aiti-5290	1170	5	ɶ	ɶ	PROPN
aiti-5290	1170	6	2	2	NUM
aiti-5290	1170	7	1	1	NUM
aiti-5290	1170	8	)	)	PUNCT
aiti-5290	1170	9	19	19	NUM
aiti-5290	1170	10	1)z	1)z	NUM
aiti-5290	1171	1	i	i	PRON
aiti-5290	1171	2	t	t	VERB
aiti-5290	1171	3	y	y	PROPN
aiti-5290	1171	4	c	c	NOUN
aiti-5290	1171	5	q	q	X
aiti-5290	1171	6	e	e	X
aiti-5290	1171	7	ς	ς	X
aiti-5290	1171	8	σ+	σ+	X
aiti-5290	1171	9	+	+	NOUN
aiti-5290	1171	10	ɶ	ɶ	NOUN
aiti-5290	1171	11	ɶ	ɶ	NOUN
aiti-5290	1171	12	the	the	DET
aiti-5290	1171	13	secular	secular	ADJ
aiti-5290	1171	14	terms	term	NOUN
aiti-5290	1171	15	for	for	ADP
aiti-5290	1171	16	s6	s6	PROPN
aiti-5290	1171	17	,	,	PUNCT
aiti-5290	1171	18	3s0	3s0	NUM
aiti-5290	1171	19	harmonics	harmonic	NOUN
aiti-5290	1171	20	of	of	ADP
aiti-5290	1171	21	the	the	DET
aiti-5290	1171	22	y	y	PROPN
aiti-5290	1171	23	-	-	PUNCT
aiti-5290	1171	24	dir	dir	PROPN
aiti-5290	1171	25	.	.	PUNCT
aiti-5290	1172	1	2nd	2nd	ADJ
aiti-5290	1172	2	mode	mode	NOUN
aiti-5290	1172	3	are	be	AUX
aiti-5290	1172	4	:	:	PUNCT
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aiti-5290	1172	7	2	2	NUM
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aiti-5290	1172	9	2	2	NUM
aiti-5290	1172	10	2	2	NUM
aiti-5290	1172	11	1	1	NUM
aiti-5290	1172	12	1	1	NUM
aiti-5290	1172	13	1	1	NUM
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aiti-5290	1172	15	2	2	NUM
aiti-5290	1172	16	1	1	NUM
aiti-5290	1172	17	1	1	NUM
aiti-5290	1172	18	2	2	NUM
aiti-5290	1172	19	33	33	NUM
aiti-5290	1172	20	2	2	NUM
aiti-5290	1172	21	2	2	NUM
aiti-5290	1172	22	2	2	NUM
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aiti-5290	1172	24	2	2	NUM
aiti-5290	1172	25	2	2	NUM
aiti-5290	1172	26	1	1	NUM
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aiti-5290	1172	28	2	2	NUM
aiti-5290	1172	29	1	1	NUM
aiti-5290	1172	30	8	8	NUM
aiti-5290	1172	31	1	1	NUM
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aiti-5290	1172	38	(	(	PUNCT
aiti-5290	1172	39	2	2	NUM
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aiti-5290	1172	41	(	(	PUNCT
aiti-5290	1172	42	)	)	PUNCT
aiti-5290	1172	43	(	(	PUNCT
aiti-5290	1172	44	)	)	SYM
aiti-5290	1172	45	2	2	NUM
aiti-5290	1172	46	1	1	NUM
aiti-5290	1172	47	1	1	NUM
aiti-5290	1172	48	8	8	NUM
aiti-5290	1172	49	1	1	NUM
aiti-5290	1172	50	1	1	NUM
aiti-5290	1172	51	2	2	NUM
aiti-5290	1172	52	1	1	NUM
aiti-5290	1172	53	1	1	NUM
aiti-5290	1172	54	2	2	NUM
aiti-5290	1172	55	11	11	NUM
aiti-5290	1172	56	2	2	NUM
aiti-5290	1172	57	ˆ2	ˆ2	NOUN
aiti-5290	1172	58	(	(	PUNCT
aiti-5290	1172	59	)	)	PUNCT
aiti-5290	1172	60	(	(	PUNCT
aiti-5290	1172	61	)	)	PUNCT
aiti-5290	1172	62	2	2	NUM
aiti-5290	1172	63	3	3	NUM
aiti-5290	1172	64	(	(	PUNCT
aiti-5290	1172	65	)	)	PUNCT
aiti-5290	1172	66	2	2	NUM
aiti-5290	1172	67	y	y	NOUN
aiti-5290	1172	68	y	y	PROPN
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aiti-5290	1172	70	y	y	PROPN
aiti-5290	1172	71	y	y	PROPN
aiti-5290	1172	72	y	y	PROPN
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aiti-5290	1172	75	y	y	PROPN
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aiti-5290	1172	77	z	z	VERB
aiti-5290	1172	78	y	y	PROPN
aiti-5290	1172	79	z	z	NOUN
aiti-5290	1172	80	z	z	NOUN
aiti-5290	1173	1	i	i	PRON
aiti-5290	1173	2	i	i	PRON
aiti-5290	1174	1	i	i	PRON
aiti-5290	1174	2	i	i	PRON
aiti-5290	1175	1	i	i	PRON
aiti-5290	1176	1	i	i	VERB
aiti-5290	1176	2	y	y	VERB
aiti-5290	1177	1	y	y	VERB
aiti-5290	1177	2	y	y	PROPN
aiti-5290	1177	3	y	y	PROPN
aiti-5290	1177	4	d	d	PROPN
aiti-5290	1177	5	u	u	X
aiti-5290	1177	6	y	y	PROPN
aiti-5290	1177	7	y	y	PROPN
aiti-5290	1177	8	y	y	PROPN
aiti-5290	1177	9	y	y	PROPN
aiti-5290	1177	10	y	y	PROPN
aiti-5290	1177	11	y	y	PROPN
aiti-5290	1178	1	y	y	INTJ
aiti-5290	1178	2	i	i	PRON
aiti-5290	1179	1	i	i	PRON
aiti-5290	1180	1	i	i	VERB
aiti-5290	1180	2	y	y	VERB
aiti-5290	1180	3	z	z	VERB
aiti-5290	1180	4	y	y	PROPN
aiti-5290	1181	1	z	z	PROPN
aiti-5290	1181	2	z	z	VERB
aiti-5290	1182	1	y	y	PROPN
aiti-5290	1182	2	z	z	NOUN
aiti-5290	1182	3	z	z	NOUN
aiti-5290	1183	1	y	y	PROPN
aiti-5290	1183	2	z	z	NOUN
aiti-5290	1184	1	i	i	PRON
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aiti-5290	1214	48	ς	ς	PROPN
aiti-5290	1214	49	ς	ς	PROPN
aiti-5290	1214	50	ς	ς	PROPN
aiti-5290	1214	51	ς	ς	PROPN
aiti-5290	1214	52	ς	ς	PROPN
aiti-5290	1214	53	ω	ω	PROPN
aiti-5290	1214	54	ω	ω	PROPN
aiti-5290	1214	55	ω	ω	PROPN
aiti-5290	1214	56	ω	ω	PROPN
aiti-5290	1215	1	−	−	PROPN
aiti-5290	1215	2	−	−	PROPN
aiti-5290	1216	1	+	+	CCONJ
aiti-5290	1216	2	−	−	PROPN
aiti-5290	1216	3	−	−	PROPN
aiti-5290	1217	1	+	+	CCONJ
aiti-5290	1217	2	−	−	PROPN
aiti-5290	1217	3	−	−	PROPN
aiti-5290	1218	1	+	+	CCONJ
aiti-5290	1218	2	+	+	NUM
aiti-5290	1218	3	−	−	NOUN
aiti-5290	1218	4	−	−	NUM
aiti-5290	1218	5	−	−	NOUN
aiti-5290	1218	6	−	−	PROPN
aiti-5290	1219	1	+	+	CCONJ
aiti-5290	1219	2	−	−	PROPN
aiti-5290	1219	3	−	−	PROPN
aiti-5290	1220	1	+	+	CCONJ
aiti-5290	1220	2	+	+	PUNCT
aiti-5290	1220	3	+	+	PUNCT
aiti-5290	1221	1	+	+	CCONJ
aiti-5290	1221	2	−	−	X
aiti-5290	1221	3	+	+	CCONJ
aiti-5290	1221	4	+	+	CCONJ
aiti-5290	1221	5	ɶ	ɶ	PROPN
aiti-5290	1221	6	ɶ	ɶ	PROPN
aiti-5290	1221	7	ɶ	ɶ	PROPN
aiti-5290	1221	8	ɶ	ɶ	PROPN
aiti-5290	1221	9	ɶ	ɶ	PROPN
aiti-5290	1221	10	(	(	PUNCT
aiti-5290	1221	11	)	)	PUNCT
aiti-5290	1221	12	1	1	NUM
aiti-5290	1221	13	1	1	NUM
aiti-5290	1221	14	2	2	NUM
aiti-5290	1221	15	1	1	NUM
aiti-5290	1221	16	12	12	NUM
aiti-5290	1221	17	2	2	NUM
aiti-5290	1221	18	2	2	NUM
aiti-5290	1221	19	1	1	NUM
aiti-5290	1221	20	1	1	NUM
aiti-5290	1221	21	2	2	NUM
aiti-5290	1221	22	1	1	NUM
aiti-5290	1221	23	1	1	NUM
aiti-5290	1221	24	2	2	NUM
aiti-5290	1221	25	2	2	NUM
aiti-5290	1221	26	2	2	NUM
aiti-5290	1221	27	2	2	NUM
aiti-5290	1221	28	)	)	PUNCT
aiti-5290	1221	29	22	22	NUM
aiti-5290	1221	30	2	2	NUM
aiti-5290	1221	31	(	(	PUNCT
aiti-5290	1221	32	2	2	NUM
aiti-5290	1221	33	)	)	SYM
aiti-5290	1221	34	2	2	NUM
aiti-5290	1221	35	2	2	NUM
aiti-5290	1221	36	2	2	NUM
aiti-5290	1221	37	2	2	NUM
aiti-5290	1221	38	2	2	NUM
aiti-5290	1221	39	2	2	NUM
aiti-5290	1221	40	2	2	NUM
aiti-5290	1221	41	2	2	NUM
aiti-5290	1221	42	24	24	NUM
aiti-5290	1221	43	1	1	NUM
aiti-5290	1221	44	1	1	NUM
aiti-5290	1221	45	1	1	NUM
aiti-5290	1221	46	21	21	NUM
aiti-5290	1221	47	(	(	PUNCT
aiti-5290	1221	48	)	)	PUNCT
aiti-5290	1221	49	(	(	PUNCT
aiti-5290	1221	50	)	)	PUNCT
aiti-5290	1221	51	1	1	NUM
aiti-5290	1221	52	2	2	NUM
aiti-5290	1221	53	1	1	NUM
aiti-5290	1221	54	1	1	NUM
aiti-5290	1221	55	2	2	NUM
aiti-5290	1221	56	1	1	NUM
aiti-5290	1221	57	1	1	NUM
aiti-5290	1221	58	2	2	NUM
aiti-5290	1221	59	22	22	NUM
aiti-5290	1221	60	(	(	PUNCT
aiti-5290	1221	61	2	2	NUM
aiti-5290	1221	62	)	)	SYM
aiti-5290	1221	63	2	2	NUM
aiti-5290	1221	64	2	2	NUM
aiti-5290	1221	65	2	2	NUM
aiti-5290	1221	66	2	2	NUM
aiti-5290	1221	67	2	2	NUM
aiti-5290	1221	68	2	2	NUM
aiti-5290	1221	69	2	2	NUM
aiti-5290	1221	70	2	2	NUM
aiti-5290	1221	71	)	)	PUNCT
aiti-5290	1221	72	(	(	PUNCT
aiti-5290	1221	73	2	2	NUM
aiti-5290	1221	74	)	)	PUNCT
aiti-5290	1221	75	]	]	PUNCT
aiti-5290	1221	76	2	2	NUM
aiti-5290	1221	77	(	(	PUNCT
aiti-5290	1221	78	)	)	PUNCT
aiti-5290	1221	79	(	(	PUNCT
aiti-5290	1221	80	2	2	X
aiti-5290	1221	81	)	)	PUNCT
aiti-5290	1221	82	y	y	PROPN
aiti-5290	1222	1	z	z	NOUN
aiti-5290	1222	2	z	z	VERB
aiti-5290	1222	3	y	y	PROPN
aiti-5290	1222	4	zy	zy	PROPN
aiti-5290	1222	5	y	y	PROPN
aiti-5290	1222	6	z	z	PROPN
aiti-5290	1222	7	y	y	PROPN
aiti-5290	1222	8	z	z	PROPN
aiti-5290	1222	9	z	z	VERB
aiti-5290	1222	10	y	y	PROPN
aiti-5290	1222	11	z	z	NOUN
aiti-5290	1222	12	z	z	VERB
aiti-5290	1222	13	y	y	PROPN
aiti-5290	1222	14	y	y	PROPN
aiti-5290	1222	15	z	z	PROPN
aiti-5290	1222	16	ii	ii	PROPN
aiti-5290	1223	1	i	i	INTJ
aiti-5290	1223	2	y	y	PROPN
aiti-5290	1223	3	z	z	NOUN
aiti-5290	1223	4	z	z	VERB
aiti-5290	1223	5	y	y	PROPN
aiti-5290	1223	6	z	z	NOUN
aiti-5290	1223	7	y	y	PROPN
aiti-5290	1224	1	z	z	NOUN
aiti-5290	1225	1	i	i	PRON
aiti-5290	1226	1	i	i	VERB
aiti-5290	1226	2	y	y	VERB
aiti-5290	1227	1	z	z	NOUN
aiti-5290	1227	2	z	z	VERB
aiti-5290	1228	1	y	y	PROPN
aiti-5290	1228	2	z	z	NOUN
aiti-5290	1229	1	z	z	NOUN
aiti-5290	1230	1	i	i	PRON
aiti-5290	1230	2	i	i	VERB
aiti-5290	1230	3	y	y	VERB
aiti-5290	1230	4	z	z	NOUN
aiti-5290	1230	5	z	z	VERB
aiti-5290	1231	1	y	y	PROPN
aiti-5290	1231	2	z	z	NOUN
aiti-5290	1231	3	c	c	PROPN
aiti-5290	1231	4	b	b	PROPN
aiti-5290	1231	5	b	b	PROPN
aiti-5290	1231	6	b	b	PROPN
aiti-5290	1231	7	e	e	PROPN
aiti-5290	1231	8	b	b	PROPN
aiti-5290	1231	9	b	b	PROPN
aiti-5290	1231	10	e	e	PROPN
aiti-5290	1231	11	c	c	PROPN
aiti-5290	1231	12	b	b	PROPN
aiti-5290	1231	13	b	b	PROPN
aiti-5290	1231	14	e	e	PROPN
aiti-5290	1231	15	c	c	PROPN
aiti-5290	1231	16	b	b	PROPN
aiti-5290	1231	17	b	b	PROPN
aiti-5290	1231	18	b	b	PROPN
aiti-5290	1231	19	e	e	PROPN
aiti-5290	1231	20	b	b	PROPN
aiti-5290	1231	21	b	b	PROPN
aiti-5290	1231	22	b	b	PROPN
aiti-5290	1231	23	e	e	PROPN
aiti-5290	1231	24	c	c	PROPN
aiti-5290	1231	25	b	b	PROPN
aiti-5290	1231	26	b	b	PROPN
aiti-5290	1231	27	b	b	PROPN
aiti-5290	1231	28	e	e	PROPN
aiti-5290	1231	29	b	b	PROPN
aiti-5290	1231	30	b	b	PROPN
aiti-5290	1231	31	e	e	X
aiti-5290	1231	32	ς	ς	PROPN
aiti-5290	1231	33	ς	ς	PROPN
aiti-5290	1231	34	ς	ς	PROPN
aiti-5290	1231	35	ς	ς	PROPN
aiti-5290	1231	36	ςς	ςς	X
aiti-5290	1231	37	ς	ς	PROPN
aiti-5290	1231	38	ς	ς	PROPN
aiti-5290	1231	39	ς	ς	PROPN
aiti-5290	1231	40	ς	ς	PROPN
aiti-5290	1231	41	ς	ς	PROPN
aiti-5290	1231	42	ς	ς	PROPN
aiti-5290	1231	43	ς	ς	PROPN
aiti-5290	1231	44	ς	ς	PROPN
aiti-5290	1231	45	ς	ς	PROPN
aiti-5290	1231	46	ς	ς	PROPN
aiti-5290	1231	47	ς	ς	PROPN
aiti-5290	1231	48	ω	ω	PROPN
aiti-5290	1231	49	ω	ω	PROPN
aiti-5290	1231	50	ω	ω	PROPN
aiti-5290	1231	51	ω	ω	PROPN
aiti-5290	1232	1	+	+	PROPN
aiti-5290	1233	1	+	+	CCONJ
aiti-5290	1234	1	−	−	X
aiti-5290	1234	2	+	+	NOUN
aiti-5290	1234	3	−	−	NOUN
aiti-5290	1234	4	−	−	NUM
aiti-5290	1234	5	−	−	PROPN
aiti-5290	1235	1	+	+	CCONJ
aiti-5290	1235	2	−	−	PROPN
aiti-5290	1235	3	−	−	PROPN
aiti-5290	1236	1	+	+	CCONJ
aiti-5290	1236	2	−	−	PROPN
aiti-5290	1236	3	−	−	PROPN
aiti-5290	1237	1	+	+	CCONJ
aiti-5290	1237	2	+	+	NUM
aiti-5290	1237	3	−	−	NOUN
aiti-5290	1237	4	−	−	NOUN
aiti-5290	1237	5	−	−	PROPN
aiti-5290	1238	1	+	+	CCONJ
aiti-5290	1238	2	+	+	PUNCT
aiti-5290	1238	3	+	+	PUNCT
aiti-5290	1238	4	+	+	PUNCT
aiti-5290	1239	1	+	+	CCONJ
aiti-5290	1239	2	−	−	X
aiti-5290	1240	1	+	+	CCONJ
aiti-5290	1241	1	+	+	CCONJ
aiti-5290	1242	1	−	−	PROPN
aiti-5290	1242	2	+	+	CCONJ
aiti-5290	1242	3	ɶ	ɶ	PROPN
aiti-5290	1242	4	ɶ	ɶ	PROPN
aiti-5290	1242	5	ɶ	ɶ	PROPN
aiti-5290	1242	6	ɶ	ɶ	PROPN
aiti-5290	1242	7	ɶ	ɶ	PROPN
aiti-5290	1242	8	1	1	NUM
aiti-5290	1242	9	24	24	NUM
aiti-5290	1242	10	2	2	NUM
aiti-5290	1242	11	i	i	PRON
aiti-5290	1242	12	t	t	X
aiti-5290	1242	13	yc	yc	NOUN
aiti-5290	1242	14	q	q	PROPN
aiti-5290	1243	1	e	e	X
aiti-5290	1243	2	σ+	σ+	X
aiti-5290	1243	3	ɶ	ɶ	ADP
aiti-5290	1243	4	the	the	DET
aiti-5290	1243	5	secular	secular	ADJ
aiti-5290	1243	6	terms	term	NOUN
aiti-5290	1243	7	for	for	ADP
aiti-5290	1243	8	s0	s0	PROPN
aiti-5290	1243	9	,	,	PUNCT
aiti-5290	1243	10	s6	s6	PROPN
aiti-5290	1243	11	−	−	PROPN
aiti-5290	1243	12	2s0	2s0	NUM
aiti-5290	1243	13	harmonics	harmonic	NOUN
aiti-5290	1243	14	of	of	ADP
aiti-5290	1243	15	the	the	DET
aiti-5290	1243	16	z	z	NOUN
aiti-5290	1243	17	-	-	PUNCT
aiti-5290	1243	18	dir	dir	NOUN
aiti-5290	1243	19	and	and	CCONJ
aiti-5290	1243	20	1st	1st	ADJ
aiti-5290	1243	21	mode	mode	NOUN
aiti-5290	1243	22	are	be	AUX
aiti-5290	1243	23	:	:	PUNCT
aiti-5290	1243	24	1	1	NUM
aiti-5290	1243	25	1	1	NUM
aiti-5290	1243	26	1	1	NUM
aiti-5290	1243	27	1	1	NUM
aiti-5290	1243	28	1	1	NUM
aiti-5290	1243	29	2	2	NUM
aiti-5290	1243	30	1	1	NUM
aiti-5290	1243	31	1	1	NUM
aiti-5290	1243	32	1	1	NUM
aiti-5290	1243	33	1	1	NUM
aiti-5290	1243	34	1	1	NUM
aiti-5290	1243	35	21	21	NUM
aiti-5290	1243	36	(	(	PUNCT
aiti-5290	1243	37	2	2	NUM
aiti-5290	1243	38	)	)	SYM
aiti-5290	1243	39	2	2	NUM
aiti-5290	1243	40	2	2	NUM
aiti-5290	1243	41	1	1	NUM
aiti-5290	1243	42	1	1	NUM
aiti-5290	1243	43	1	1	NUM
aiti-5290	1243	44	1	1	NUM
aiti-5290	1243	45	1	1	NUM
aiti-5290	1243	46	1	1	NUM
aiti-5290	1243	47	1	1	NUM
aiti-5290	1243	48	1	1	NUM
aiti-5290	1243	49	1	1	NUM
aiti-5290	1243	50	1	1	NUM
aiti-5290	1243	51	1	1	NUM
aiti-5290	1243	52	1	1	NUM
aiti-5290	1243	53	2	2	NUM
aiti-5290	1243	54	2	2	NUM
aiti-5290	1243	55	1	1	NUM
aiti-5290	1243	56	2	2	NUM
aiti-5290	1243	57	2	2	NUM
aiti-5290	1243	58	3	3	NUM
aiti-5290	1243	59	(	(	PUNCT
aiti-5290	1243	60	2	2	NUM
aiti-5290	1243	61	)	)	PUNCT
aiti-5290	1243	62	(	(	PUNCT
aiti-5290	1243	63	)	)	SYM
aiti-5290	1243	64	2	2	NUM
aiti-5290	1243	65	2	2	NUM
aiti-5290	1243	66	1	1	NUM
aiti-5290	1243	67	1	1	NUM
aiti-5290	1243	68	1	1	NUM
aiti-5290	1243	69	1	1	NUM
aiti-5290	1243	70	1	1	NUM
aiti-5290	1243	71	1	1	NUM
aiti-5290	1243	72	1	1	NUM
aiti-5290	1243	73	1	1	NUM
aiti-5290	1243	74	2	2	NUM
aiti-5290	1243	75	4	4	NUM
aiti-5290	1243	76	2	2	NUM
aiti-5290	1243	77	1	1	NUM
aiti-5290	1243	78	ˆ2	ˆ2	NOUN
aiti-5290	1243	79	(	(	PUNCT
aiti-5290	1243	80	)	)	PUNCT
aiti-5290	1243	81	(	(	PUNCT
aiti-5290	1243	82	)	)	PUNCT
aiti-5290	1243	83	3	3	NUM
aiti-5290	1243	84	2	2	NUM
aiti-5290	1243	85	(	(	PUNCT
aiti-5290	1243	86	2	2	NUM
aiti-5290	1243	87	)	)	PUNCT
aiti-5290	1243	88	z	z	NOUN
aiti-5290	1244	1	z	z	NOUN
aiti-5290	1245	1	z	z	NOUN
aiti-5290	1246	1	z	z	NOUN
aiti-5290	1247	1	z	z	NOUN
aiti-5290	1248	1	z	z	NOUN
aiti-5290	1249	1	z	z	NOUN
aiti-5290	1250	1	z	z	NOUN
aiti-5290	1251	1	y	y	PROPN
aiti-5290	1251	2	z	z	NOUN
aiti-5290	1251	3	y	y	PROPN
aiti-5290	1252	1	yz	yz	INTJ
aiti-5290	1252	2	i	i	PRON
aiti-5290	1253	1	i	i	PRON
aiti-5290	1253	2	i	i	PRON
aiti-5290	1254	1	i	i	PRON
aiti-5290	1254	2	i	i	PRON
aiti-5290	1255	1	i	i	VERB
aiti-5290	1255	2	z	z	VERB
aiti-5290	1256	1	z	z	NOUN
aiti-5290	1257	1	z	z	NOUN
aiti-5290	1257	2	z	z	NOUN
aiti-5290	1257	3	a	a	DET
aiti-5290	1257	4	u	u	NOUN
aiti-5290	1257	5	z	z	PROPN
aiti-5290	1257	6	z	z	NOUN
aiti-5290	1257	7	z	z	NOUN
aiti-5290	1257	8	z	z	NOUN
aiti-5290	1257	9	z	z	NOUN
aiti-5290	1257	10	z	z	NOUN
aiti-5290	1257	11	z	z	NOUN
aiti-5290	1258	1	z	z	NOUN
aiti-5290	1259	1	i	i	PRON
aiti-5290	1259	2	z	z	VERB
aiti-5290	1259	3	y	y	VERB
aiti-5290	1259	4	y	y	PROPN
aiti-5290	1259	5	z	z	PROPN
aiti-5290	1259	6	y	y	PROPN
aiti-5290	1259	7	z	z	VERB
aiti-5290	1259	8	y	y	PROPN
aiti-5290	1259	9	y	y	PROPN
aiti-5290	1259	10	z	z	NOUN
aiti-5290	1259	11	y	y	PROPN
aiti-5290	1260	1	i	i	PRON
aiti-5290	1260	2	b	b	PROPN
aiti-5290	1260	3	e	e	X
aiti-5290	1260	4	b	b	PROPN
aiti-5290	1260	5	e	e	X
aiti-5290	1260	6	c	c	PROPN
aiti-5290	1260	7	a	a	DET
aiti-5290	1260	8	i	i	NOUN
aiti-5290	1260	9	b	b	PROPN
aiti-5290	1260	10	e	e	PROPN
aiti-5290	1260	11	b	b	PROPN
aiti-5290	1260	12	b	b	PROPN
aiti-5290	1260	13	e	e	PROPN
aiti-5290	1260	14	c	c	PROPN
aiti-5290	1260	15	b	b	PROPN
aiti-5290	1260	16	b	b	PROPN
aiti-5290	1260	17	e	e	PROPN
aiti-5290	1260	18	c	c	PROPN
aiti-5290	1260	19	b	b	PROPN
aiti-5290	1260	20	b	b	PROPN
aiti-5290	1260	21	b	b	PROPN
aiti-5290	1260	22	e	e	PROPN
aiti-5290	1260	23	c	c	PROPN
aiti-5290	1260	24	b	b	PROPN
aiti-5290	1260	25	b	b	PROPN
aiti-5290	1260	26	b	b	PROPN
aiti-5290	1260	27	e	e	PROPN
aiti-5290	1260	28	b	b	PROPN
aiti-5290	1260	29	b	b	PROPN
aiti-5290	1260	30	e	e	PROPN
aiti-5290	1260	31	c	c	PROPN
aiti-5290	1260	32	b	b	PROPN
aiti-5290	1260	33	b	b	PROPN
aiti-5290	1260	34	b	b	PROPN
aiti-5290	1260	35	e	e	PROPN
aiti-5290	1260	36	c	c	PROPN
aiti-5290	1260	37	b	b	PROPN
aiti-5290	1260	38	b	b	PROPN
aiti-5290	1260	39	e	e	X
aiti-5290	1260	40	ς	ς	PROPN
aiti-5290	1260	41	ς	ς	PROPN
aiti-5290	1260	42	ς	ς	PROPN
aiti-5290	1260	43	ς	ς	PROPN
aiti-5290	1260	44	ς	ς	PROPN
aiti-5290	1260	45	ς	ς	PROPN
aiti-5290	1260	46	ς	ς	PROPN
aiti-5290	1260	47	ς	ς	PROPN
aiti-5290	1260	48	ς	ς	PROPN
aiti-5290	1260	49	ς	ς	PROPN
aiti-5290	1260	50	ς	ς	PROPN
aiti-5290	1260	51	ςς	ςς	PROPN
aiti-5290	1260	52	ω	ω	NUM
aiti-5290	1260	53	ω	ω	PROPN
aiti-5290	1260	54	ς	ς	PROPN
aiti-5290	1261	1	ω−	ω−	ADP
aiti-5290	1261	2	−	−	PROPN
aiti-5290	1261	3	−	−	PROPN
aiti-5290	1262	1	−	−	NOUN
aiti-5290	1262	2	−	−	PROPN
aiti-5290	1263	1	−	−	PROPN
aiti-5290	1264	1	+	+	CCONJ
aiti-5290	1264	2	−	−	PROPN
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aiti-5290	1311	35	17	17	NUM
aiti-5290	1311	36	2	2	NUM
aiti-5290	1311	37	1	1	NUM
aiti-5290	1311	38	18	18	NUM
aiti-5290	1311	39	(	(	PUNCT
aiti-5290	1311	40	)	)	PUNCT
aiti-5290	1311	41	(	(	PUNCT
aiti-5290	1311	42	)	)	PUNCT
aiti-5290	1311	43	(	(	PUNCT
aiti-5290	1311	44	)	)	SYM
aiti-5290	1311	45	2	2	NUM
aiti-5290	1311	46	2	2	NUM
aiti-5290	1311	47	1	1	NUM
aiti-5290	1311	48	2	2	NUM
aiti-5290	1311	49	2	2	NUM
aiti-5290	1311	50	1	1	NUM
aiti-5290	1311	51	2	2	NUM
aiti-5290	1311	52	19	19	NUM
aiti-5290	1311	53	2	2	NUM
aiti-5290	1311	54	1	1	NUM
aiti-5290	1311	55	1	1	NUM
aiti-5290	1311	56	2	2	NUM
aiti-5290	1311	57	17	17	NUM
aiti-5290	1311	58	1	1	NUM
aiti-5290	1311	59	2	2	NUM
aiti-5290	1311	60	2	2	NUM
aiti-5290	1311	61	20	20	NUM
aiti-5290	1311	62	(	(	PUNCT
aiti-5290	1311	63	)	)	PUNCT
aiti-5290	1311	64	(	(	PUNCT
aiti-5290	1311	65	2	2	NUM
aiti-5290	1311	66	1	1	NUM
aiti-5290	1311	67	2	2	NUM
aiti-5290	1311	68	2	2	NUM
aiti-5290	1311	69	1	1	NUM
aiti-5290	1311	70	2	2	NUM
aiti-5290	1311	71	(	(	PUNCT
aiti-5290	1311	72	)	)	PUNCT
aiti-5290	1311	73	]	]	PUNCT
aiti-5290	1312	1	[	[	PUNCT
aiti-5290	1312	2	2	2	NUM
aiti-5290	1312	3	(	(	PUNCT
aiti-5290	1312	4	y	y	NOUN
aiti-5290	1312	5	y	y	PROPN
aiti-5290	1312	6	z	z	PROPN
aiti-5290	1312	7	y	y	PROPN
aiti-5290	1312	8	z	z	VERB
aiti-5290	1312	9	y	y	PROPN
aiti-5290	1312	10	y	y	PROPN
aiti-5290	1312	11	z	z	PROPN
aiti-5290	1312	12	y	y	PROPN
aiti-5290	1312	13	y	y	PROPN
aiti-5290	1312	14	z	z	PROPN
aiti-5290	1312	15	y	y	PROPN
aiti-5290	1312	16	y	y	PROPN
aiti-5290	1312	17	z	z	PROPN
aiti-5290	1312	18	z	z	VERB
aiti-5290	1312	19	y	y	PROPN
aiti-5290	1312	20	y	y	PROPN
aiti-5290	1312	21	z	z	PROPN
aiti-5290	1312	22	y	y	PROPN
aiti-5290	1312	23	z	z	NOUN
aiti-5290	1312	24	y	y	NOUN
aiti-5290	1312	25	i	i	PRON
aiti-5290	1313	1	i	i	INTJ
aiti-5290	1314	1	i	i	PRON
aiti-5290	1314	2	z	z	VERB
aiti-5290	1315	1	y	y	VERB
aiti-5290	1315	2	y	y	PROPN
aiti-5290	1315	3	z	z	PROPN
aiti-5290	1315	4	y	y	PROPN
aiti-5290	1315	5	y	y	PROPN
aiti-5290	1315	6	z	z	PROPN
aiti-5290	1315	7	y	y	PROPN
aiti-5290	1315	8	y	y	PROPN
aiti-5290	1315	9	z	z	PROPN
aiti-5290	1315	10	y	y	PROPN
aiti-5290	1316	1	y	y	INTJ
aiti-5290	1316	2	i	i	PRON
aiti-5290	1317	1	i	i	PRON
aiti-5290	1317	2	z	z	VERB
aiti-5290	1318	1	y	y	VERB
aiti-5290	1318	2	y	y	PROPN
aiti-5290	1318	3	z	z	PROPN
aiti-5290	1318	4	y	y	PROPN
aiti-5290	1318	5	y	y	PROPN
aiti-5290	1318	6	c	c	PROPN
aiti-5290	1318	7	b	b	PROPN
aiti-5290	1318	8	b	b	PROPN
aiti-5290	1318	9	e	e	PROPN
aiti-5290	1318	10	c	c	PROPN
aiti-5290	1318	11	b	b	PROPN
aiti-5290	1318	12	b	b	PROPN
aiti-5290	1318	13	b	b	PROPN
aiti-5290	1318	14	e	e	PROPN
aiti-5290	1318	15	b	b	PROPN
aiti-5290	1318	16	b	b	PROPN
aiti-5290	1318	17	b	b	PROPN
aiti-5290	1318	18	e	e	PROPN
aiti-5290	1318	19	c	c	PROPN
aiti-5290	1318	20	b	b	PROPN
aiti-5290	1318	21	b	b	PROPN
aiti-5290	1318	22	b	b	PROPN
aiti-5290	1318	23	e	e	PROPN
aiti-5290	1318	24	c	c	PROPN
aiti-5290	1318	25	b	b	PROPN
aiti-5290	1318	26	b	b	PROPN
aiti-5290	1318	27	b	b	PROPN
aiti-5290	1318	28	e	e	PROPN
aiti-5290	1318	29	c	c	PROPN
aiti-5290	1318	30	b	b	PROPN
aiti-5290	1318	31	b	b	PROPN
aiti-5290	1318	32	b	b	PROPN
aiti-5290	1318	33	e	e	PROPN
aiti-5290	1318	34	b	b	PROPN
aiti-5290	1318	35	b	b	PROPN
aiti-5290	1318	36	b	b	PROPN
aiti-5290	1318	37	e	e	X
aiti-5290	1318	38	ς	ς	PROPN
aiti-5290	1318	39	ς	ς	PROPN
aiti-5290	1318	40	ς	ς	PROPN
aiti-5290	1318	41	ς	ς	PROPN
aiti-5290	1318	42	ς	ς	PROPN
aiti-5290	1318	43	ς	ς	PROPN
aiti-5290	1318	44	ς	ς	PROPN
aiti-5290	1318	45	ς	ς	PROPN
aiti-5290	1318	46	ς	ς	PROPN
aiti-5290	1318	47	ς	ς	PROPN
aiti-5290	1318	48	ς	ς	PROPN
aiti-5290	1318	49	ς	ς	PROPN
aiti-5290	1318	50	ς	ς	PROPN
aiti-5290	1318	51	ς	ς	PROPN
aiti-5290	1318	52	ς	ς	PROPN
aiti-5290	1318	53	ς	ς	PROPN
aiti-5290	1318	54	ς	ς	PROPN
aiti-5290	1318	55	ς	ς	PROPN
aiti-5290	1318	56	ς	ς	PROPN
aiti-5290	1318	57	ω	ω	PROPN
aiti-5290	1319	1	+	+	CCONJ
aiti-5290	1319	2	−	−	PROPN
aiti-5290	1319	3	−	−	NUM
aiti-5290	1320	1	−	−	PROPN
aiti-5290	1321	1	+	+	CCONJ
aiti-5290	1321	2	−	−	PROPN
aiti-5290	1321	3	−	−	NOUN
aiti-5290	1321	4	−	−	PROPN
aiti-5290	1322	1	+	+	CCONJ
aiti-5290	1323	1	+	+	NUM
aiti-5290	1323	2	−	−	NOUN
aiti-5290	1323	3	−	−	NUM
aiti-5290	1323	4	−	−	PROPN
aiti-5290	1324	1	+	+	CCONJ
aiti-5290	1324	2	−	−	PROPN
aiti-5290	1324	3	−	−	PROPN
aiti-5290	1325	1	+	+	CCONJ
aiti-5290	1325	2	−	−	PROPN
aiti-5290	1325	3	−	−	NOUN
aiti-5290	1325	4	−	−	PROPN
aiti-5290	1326	1	+	+	CCONJ
aiti-5290	1326	2	+	+	PUNCT
aiti-5290	1327	1	+	+	PUNCT
aiti-5290	1327	2	+	+	PUNCT
aiti-5290	1327	3	+	+	PUNCT
aiti-5290	1327	4	+	+	PUNCT
aiti-5290	1327	5	+	+	CCONJ
aiti-5290	1327	6	+	+	CCONJ
aiti-5290	1327	7	ɶ	ɶ	PROPN
aiti-5290	1327	8	ɶ	ɶ	PROPN
aiti-5290	1327	9	ɶ	ɶ	PROPN
aiti-5290	1327	10	ɶ	ɶ	PROPN
aiti-5290	1327	11	ɶ	ɶ	ADP
aiti-5290	1327	12	2	2	NUM
aiti-5290	1327	13	1	1	NUM
aiti-5290	1327	14	11	11	NUM
aiti-5290	1327	15	1	1	NUM
aiti-5290	1327	16	1	1	NUM
aiti-5290	1327	17	2	2	NUM
aiti-5290	1327	18	2	2	NUM
aiti-5290	1327	19	11	11	NUM
aiti-5290	1327	20	2	2	NUM
aiti-5290	1327	21	1	1	NUM
aiti-5290	1327	22	2	2	NUM
aiti-5290	1327	23	2	2	NUM
aiti-5290	1327	24	)	)	PUNCT
aiti-5290	1327	25	(	(	PUNCT
aiti-5290	1327	26	2	2	NUM
aiti-5290	1327	27	)	)	SYM
aiti-5290	1327	28	2	2	NUM
aiti-5290	1327	29	2	2	NUM
aiti-5290	1327	30	19	19	NUM
aiti-5290	1327	31	1	1	NUM
aiti-5290	1327	32	1	1	NUM
aiti-5290	1327	33	1	1	NUM
aiti-5290	1327	34	1	1	NUM
aiti-5290	1327	35	1	1	NUM
aiti-5290	1327	36	1	1	NUM
aiti-5290	1327	37	16	16	NUM
aiti-5290	1327	38	(	(	PUNCT
aiti-5290	1327	39	)	)	PUNCT
aiti-5290	1327	40	(	(	PUNCT
aiti-5290	1327	41	2	2	NUM
aiti-5290	1327	42	)	)	SYM
aiti-5290	1327	43	2	2	NUM
aiti-5290	1327	44	2	2	NUM
aiti-5290	1327	45	2	2	NUM
aiti-5290	1327	46	1	1	NUM
aiti-5290	1327	47	2	2	NUM
aiti-5290	1327	48	1	1	NUM
aiti-5290	1327	49	2	2	NUM
aiti-5290	1327	50	2	2	NUM
aiti-5290	1327	51	20	20	NUM
aiti-5290	1327	52	1	1	NUM
aiti-5290	1327	53	2	2	NUM
aiti-5290	1327	54	1	1	NUM
aiti-5290	1327	55	1	1	NUM
aiti-5290	1327	56	2	2	NUM
aiti-5290	1327	57	17	17	NUM
aiti-5290	1327	58	1	1	NUM
aiti-5290	1327	59	2	2	NUM
aiti-5290	1327	60	1	1	NUM
aiti-5290	1327	61	18	18	NUM
aiti-5290	1327	62	(	(	PUNCT
aiti-5290	1327	63	)	)	PUNCT
aiti-5290	1327	64	(	(	PUNCT
aiti-5290	1327	65	1	1	NUM
aiti-5290	1327	66	2	2	NUM
aiti-5290	1327	67	2	2	NUM
aiti-5290	1327	68	1	1	NUM
aiti-5290	1327	69	2	2	NUM
aiti-5290	1327	70	2	2	NUM
aiti-5290	1327	71	1	1	NUM
aiti-5290	1327	72	2	2	NUM
aiti-5290	1327	73	)	)	PUNCT
aiti-5290	1327	74	]	]	PUNCT
aiti-5290	1328	1	(	(	PUNCT
aiti-5290	1328	2	2	2	X
aiti-5290	1328	3	)	)	PUNCT
aiti-5290	1328	4	2	2	NUM
aiti-5290	1328	5	2	2	NUM
aiti-5290	1328	6	2	2	NUM
aiti-5290	1328	7	(	(	PUNCT
aiti-5290	1328	8	y	y	PROPN
aiti-5290	1328	9	z	z	PROPN
aiti-5290	1328	10	yz	yz	PROPN
aiti-5290	1328	11	z	z	PROPN
aiti-5290	1328	12	y	y	PROPN
aiti-5290	1328	13	y	y	PROPN
aiti-5290	1328	14	z	z	PROPN
aiti-5290	1328	15	yz	yz	PROPN
aiti-5290	1328	16	z	z	PROPN
aiti-5290	1328	17	y	y	PROPN
aiti-5290	1328	18	y	y	PROPN
aiti-5290	1328	19	z	z	NOUN
aiti-5290	1329	1	i	i	PRON
aiti-5290	1329	2	z	z	VERB
aiti-5290	1329	3	y	y	VERB
aiti-5290	1329	4	y	y	PROPN
aiti-5290	1329	5	z	z	NOUN
aiti-5290	1329	6	y	y	NOUN
aiti-5290	1330	1	i	i	PRON
aiti-5290	1330	2	z	z	VERB
aiti-5290	1330	3	y	y	VERB
aiti-5290	1330	4	y	y	PROPN
aiti-5290	1330	5	z	z	PROPN
aiti-5290	1330	6	y	y	PROPN
aiti-5290	1330	7	y	y	PROPN
aiti-5290	1330	8	z	z	NOUN
aiti-5290	1330	9	y	y	PROPN
aiti-5290	1331	1	i	i	PRON
aiti-5290	1331	2	i	i	PRON
aiti-5290	1331	3	z	z	VERB
aiti-5290	1331	4	y	y	VERB
aiti-5290	1331	5	y	y	PROPN
aiti-5290	1331	6	z	z	PROPN
aiti-5290	1331	7	y	y	PROPN
aiti-5290	1332	1	y	y	PROPN
aiti-5290	1332	2	c	c	PROPN
aiti-5290	1332	3	b	b	PROPN
aiti-5290	1332	4	b	b	PROPN
aiti-5290	1332	5	b	b	PROPN
aiti-5290	1332	6	e	e	PROPN
aiti-5290	1332	7	b	b	PROPN
aiti-5290	1332	8	b	b	PROPN
aiti-5290	1332	9	e	e	X
aiti-5290	1332	10	c	c	PROPN
aiti-5290	1332	11	g	g	PROPN
aiti-5290	1332	12	b	b	PROPN
aiti-5290	1332	13	b	b	PROPN
aiti-5290	1332	14	b	b	PROPN
aiti-5290	1332	15	e	e	PROPN
aiti-5290	1332	16	c	c	PROPN
aiti-5290	1332	17	b	b	PROPN
aiti-5290	1332	18	b	b	PROPN
aiti-5290	1332	19	b	b	PROPN
aiti-5290	1332	20	e	e	PROPN
aiti-5290	1332	21	c	c	PROPN
aiti-5290	1332	22	b	b	PROPN
aiti-5290	1332	23	b	b	PROPN
aiti-5290	1332	24	e	e	PROPN
aiti-5290	1332	25	c	c	PROPN
aiti-5290	1332	26	b	b	PROPN
aiti-5290	1332	27	b	b	PROPN
aiti-5290	1332	28	b	b	PROPN
aiti-5290	1332	29	e	e	PROPN
aiti-5290	1332	30	b	b	PROPN
aiti-5290	1332	31	b	b	PROPN
aiti-5290	1332	32	b	b	PROPN
aiti-5290	1332	33	e	e	X
aiti-5290	1332	34	ς	ς	PROPN
aiti-5290	1332	35	ς	ς	PROPN
aiti-5290	1332	36	ςς	ςς	X
aiti-5290	1332	37	ς	ς	PROPN
aiti-5290	1332	38	ς	ς	PROPN
aiti-5290	1332	39	ς	ς	PROPN
aiti-5290	1332	40	ς	ς	PROPN
aiti-5290	1332	41	ςς	ςς	X
aiti-5290	1332	42	ς	ς	PROPN
aiti-5290	1332	43	ς	ς	PROPN
aiti-5290	1332	44	ς	ς	PROPN
aiti-5290	1332	45	ς	ς	PROPN
aiti-5290	1332	46	ω	ω	PROPN
aiti-5290	1332	47	ω	ω	PROPN
aiti-5290	1332	48	ω	ω	PROPN
aiti-5290	1332	49	ω	ω	PROPN
aiti-5290	1332	50	ω	ω	PROPN
aiti-5290	1332	51	ω	ω	PROPN
aiti-5290	1332	52	ω	ω	PROPN
aiti-5290	1333	1	+	+	CCONJ
aiti-5290	1333	2	−	−	PROPN
aiti-5290	1333	3	−	−	PROPN
aiti-5290	1334	1	+	+	NOUN
aiti-5290	1334	2	−	−	PROPN
aiti-5290	1334	3	−	−	NUM
aiti-5290	1334	4	−	−	PROPN
aiti-5290	1334	5	−	−	PROPN
aiti-5290	1335	1	+	+	CCONJ
aiti-5290	1335	2	−	−	PROPN
aiti-5290	1335	3	−−	−−	NOUN
aiti-5290	1335	4	−	−	PROPN
aiti-5290	1336	1	+	+	CCONJ
aiti-5290	1336	2	−	−	PROPN
aiti-5290	1336	3	−	−	NOUN
aiti-5290	1336	4	−	−	PROPN
aiti-5290	1337	1	+	+	CCONJ
aiti-5290	1338	1	+	+	CCONJ
aiti-5290	1338	2	−	−	X
aiti-5290	1339	1	+	+	CCONJ
aiti-5290	1339	2	−	−	PROPN
aiti-5290	1339	3	−	−	PROPN
aiti-5290	1340	1	+	+	CCONJ
aiti-5290	1340	2	−	−	PROPN
aiti-5290	1340	3	−	−	PROPN
aiti-5290	1341	1	+	+	CCONJ
aiti-5290	1342	1	ɶ	ɶ	PROPN
aiti-5290	1342	2	ɶ	ɶ	PROPN
aiti-5290	1342	3	ɶ	ɶ	PROPN
aiti-5290	1342	4	ɶ	ɶ	PROPN
aiti-5290	1342	5	ɶ	ɶ	PROPN
aiti-5290	1342	6	ɶ	ɶ	PROPN
aiti-5290	1342	7	1	1	NUM
aiti-5290	1342	8	2	2	NUM
aiti-5290	1342	9	1	1	NUM
aiti-5290	1342	10	)	)	PUNCT
aiti-5290	1342	11	19	19	NUM
aiti-5290	1342	12	1)y	1)y	NUM
aiti-5290	1342	13	y	y	NOUN
aiti-5290	1343	1	i	i	PRON
aiti-5290	1343	2	t	t	X
aiti-5290	1343	3	z	z	NOUN
aiti-5290	1343	4	c	c	NOUN
aiti-5290	1343	5	q	q	X
aiti-5290	1343	6	e	e	X
aiti-5290	1343	7	ς	ς	X
aiti-5290	1343	8	ς	ς	PROPN
aiti-5290	1343	9	σ+	σ+	X
aiti-5290	1343	10	+	+	NOUN
aiti-5290	1343	11	ɶ	ɶ	NOUN
aiti-5290	1343	12	ɶ	ɶ	NOUN
aiti-5290	1343	13	the	the	DET
aiti-5290	1343	14	secular	secular	ADJ
aiti-5290	1343	15	terms	term	NOUN
aiti-5290	1343	16	for	for	ADP
aiti-5290	1343	17	s6	s6	PROPN
aiti-5290	1343	18	,	,	PUNCT
aiti-5290	1343	19	3s0	3s0	NUM
aiti-5290	1343	20	harmonics	harmonic	NOUN
aiti-5290	1343	21	of	of	ADP
aiti-5290	1343	22	the	the	DET
aiti-5290	1343	23	z	z	NOUN
aiti-5290	1343	24	-	-	PUNCT
aiti-5290	1343	25	dir	dir	NOUN
aiti-5290	1343	26	and	and	CCONJ
aiti-5290	1343	27	2nd	2nd	ADJ
aiti-5290	1343	28	mode	mode	NOUN
aiti-5290	1343	29	are	be	AUX
aiti-5290	1343	30	:	:	PUNCT
aiti-5290	1343	31	advances	advance	NOUN
aiti-5290	1343	32	in	in	ADP
aiti-5290	1343	33	technology	technology	NOUN
aiti-5290	1343	34	innovation	innovation	NOUN
aiti-5290	1343	35	,	,	PUNCT
aiti-5290	1343	36	vol	vol	NOUN
aiti-5290	1343	37	.	.	PROPN
aiti-5290	1344	1	5	5	NUM
aiti-5290	1344	2	,	,	PUNCT
aiti-5290	1344	3	no	no	INTJ
aiti-5290	1344	4	.	.	NOUN
aiti-5290	1344	5	4	4	NUM
aiti-5290	1344	6	,	,	PUNCT
aiti-5290	1344	7	2020	2020	NUM
aiti-5290	1344	8	,	,	PUNCT
aiti-5290	1344	9	pp	pp	ADV
aiti-5290	1344	10	.	.	PUNCT
aiti-5290	1345	1	270	270	NUM
aiti-5290	1345	2	-	-	SYM
aiti-5290	1345	3	291	291	NUM
aiti-5290	1346	1	289	289	NUM
aiti-5290	1346	2	2	2	NUM
aiti-5290	1346	3	2	2	NUM
aiti-5290	1346	4	2	2	NUM
aiti-5290	1346	5	1	1	NUM
aiti-5290	1346	6	2	2	NUM
aiti-5290	1346	7	2	2	NUM
aiti-5290	1346	8	1	1	NUM
aiti-5290	1346	9	1	1	NUM
aiti-5290	1346	10	1	1	NUM
aiti-5290	1346	11	1	1	NUM
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aiti-5290	1379	2	(	(	PUNCT
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aiti-5290	1383	2	i	i	PRON
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aiti-5290	1384	3	y	y	PROPN
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aiti-5290	1387	2	y	y	PROPN
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aiti-5290	1392	2	−	−	PROPN
aiti-5290	1392	3	−−	−−	NOUN
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aiti-5290	1393	1	+	+	PUNCT
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aiti-5290	1393	3	+	+	CCONJ
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aiti-5290	1394	1	+	+	CCONJ
aiti-5290	1394	2	+	+	CCONJ
aiti-5290	1394	3	ɶ	ɶ	PROPN
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aiti-5290	1394	5	ɶ	ɶ	PROPN
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aiti-5290	1394	7	ɶ	ɶ	PROPN
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aiti-5290	1394	22	ω	ω	PROPN
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aiti-5290	1394	25	1	1	NUM
aiti-5290	1394	26	2	2	NUM
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aiti-5290	1394	29	1	1	NUM
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aiti-5290	1394	31	1	1	NUM
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aiti-5290	1394	42	2	2	NUM
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aiti-5290	1394	45	2	2	NUM
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aiti-5290	1394	86	2	2	NUM
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aiti-5290	1394	90	(	(	PUNCT
aiti-5290	1394	91	)	)	PUNCT
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aiti-5290	1394	93	2	2	X
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aiti-5290	1394	95	y	y	PROPN
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aiti-5290	1395	3	y	y	PROPN
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aiti-5290	1395	13	yz	yz	INTJ
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aiti-5290	1396	2	ii	ii	VERB
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aiti-5290	1397	2	y	y	PROPN
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aiti-5290	1398	5	y	y	PROPN
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aiti-5290	1398	47	−	−	ADP
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aiti-5290	1402	3	−	−	ADP
aiti-5290	1403	1	−	−	NOUN
aiti-5290	1404	1	+	+	NOUN
aiti-5290	1404	2	−	−	PROPN
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aiti-5290	1404	4	+	+	PUNCT
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aiti-5290	1407	1	+	+	CCONJ
aiti-5290	1408	1	+	+	CCONJ
aiti-5290	1409	1	−	−	PROPN
aiti-5290	1409	2	+	+	CCONJ
aiti-5290	1409	3	ɶ	ɶ	PROPN
aiti-5290	1409	4	ɶ	ɶ	PROPN
aiti-5290	1409	5	ɶ	ɶ	PROPN
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aiti-5290	1409	7	ɶ	ɶ	PROPN
aiti-5290	1409	8	ς	ς	PROPN
aiti-5290	1409	9	ς	ς	PROPN
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aiti-5290	1409	13	ςς	ςς	X
aiti-5290	1409	14	ς	ς	PROPN
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aiti-5290	1409	22	ω	ω	PROPN
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aiti-5290	1409	32	e+	e+	VERB
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aiti-5290	1409	87	a2	a2	PROPN
aiti-5290	1409	88	)	)	PUNCT
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aiti-5290	1409	110	ϕ	ϕ	X
aiti-5290	1409	111	ϕ	ϕ	X
aiti-5290	1409	112	ϕ	ϕ	X
aiti-5290	1409	113	ϕ′′	ϕ′′	NOUN
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aiti-5290	1410	1	′′	′′	PROPN
aiti-5290	1410	2	′′′	′′′	PROPN
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aiti-5290	1410	5	+	+	ADJ
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aiti-5290	1410	9	a3	a3	NOUN
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aiti-5290	1410	28	1	1	NUM
aiti-5290	1410	29	2	2	NUM
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aiti-5290	1410	39	)	)	PUNCT
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aiti-5290	1410	44	dxϕ	dxϕ	PROPN
aiti-5290	1410	45	ϕ	ϕ	PROPN
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aiti-5290	1410	49	ϕ	ϕ	X
aiti-5290	1410	50	ϕ	ϕ	X
aiti-5290	1410	51	ϕ	ϕ	X
aiti-5290	1410	52	ϕ	ϕ	X
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aiti-5290	1413	2	′′′	′′′	ADV
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aiti-5290	1415	2	+	+	PUNCT
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aiti-5290	1416	8	a4	a4	NOUN
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aiti-5290	1416	22	1	1	NUM
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aiti-5290	1417	14	ϕ	ϕ	X
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aiti-5290	1417	20	ϕ′′	ϕ′′	VERB
aiti-5290	1417	21	′′	′′	PROPN
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aiti-5290	1420	2	′′′	′′′	ADV
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aiti-5290	1422	2	+	+	PUNCT
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aiti-5290	1423	49	ϕ	ϕ	X
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aiti-5290	1426	5	′′′	′′′	INTJ
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aiti-5290	1429	44	′′	′′	PROPN
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aiti-5290	1444	28	1	1	NUM
aiti-5290	1444	29	2	2	NUM
aiti-5290	1444	30	1	1	NUM
aiti-5290	1444	31	2	2	NUM
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aiti-5290	1444	39	)	)	PUNCT
aiti-5290	1444	40	iv	iv	X
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aiti-5290	1444	42	c	c	NOUN
aiti-5290	1444	43	g	g	PROPN
aiti-5290	1444	44	dxϕ	dxϕ	PROPN
aiti-5290	1444	45	ϕ	ϕ	PROPN
aiti-5290	1444	46	ϕ	ϕ	X
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aiti-5290	1444	48	ϕ	ϕ	X
aiti-5290	1444	49	ϕ	ϕ	X
aiti-5290	1444	50	ϕ	ϕ	X
aiti-5290	1444	51	ϕ	ϕ	X
aiti-5290	1444	52	ϕ	ϕ	X
aiti-5290	1444	53	ϕ	ϕ	X
aiti-5290	1444	54	ϕ	ϕ	X
aiti-5290	1444	55	ϕ	ϕ	X
aiti-5290	1444	56	ϕ	ϕ	X
aiti-5290	1444	57	ϕ	ϕ	X
aiti-5290	1444	58	ϕ	ϕ	X
aiti-5290	1444	59	ϕ	ϕ	NOUN
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aiti-5290	1444	61	′′	′′	PROPN
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aiti-5290	1445	1	′′	′′	PROPN
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aiti-5290	1446	1	′′	′′	PROPN
aiti-5290	1446	2	′′′	′′′	NOUN
aiti-5290	1446	3	′	′	NUM
aiti-5290	1447	1	′′	′′	PROPN
aiti-5290	1447	2	′′′	′′′	ADV
aiti-5290	1448	1	′	′	NUM
aiti-5290	1448	2	′	′	NUM
aiti-5290	1449	1	′=	′=	PROPN
aiti-5290	1449	2	+	+	PUNCT
aiti-5290	1450	1	+	+	PUNCT
aiti-5290	1450	2	+	+	PUNCT
aiti-5290	1450	3	+	+	CCONJ
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aiti-5290	1450	5	∫ɶ	∫ɶ	ADJ
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aiti-5290	1450	7	(	(	PUNCT
aiti-5290	1450	8	a11	a11	PROPN
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aiti-5290	1450	16	2	2	NUM
aiti-5290	1450	17	2	2	NUM
aiti-5290	1450	18	2	2	NUM
aiti-5290	1450	19	2	2	NUM
aiti-5290	1450	20	2	2	NUM
aiti-5290	1450	21	20	20	NUM
aiti-5290	1450	22	(	(	PUNCT
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aiti-5290	1450	24	)	)	PUNCT
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aiti-5290	1450	34	ϕ′′	ϕ′′	NOUN
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aiti-5290	1451	1	′′	′′	PROPN
aiti-5290	1451	2	′′′	′′′	PROPN
aiti-5290	1451	3	′=	′=	PROPN
aiti-5290	1451	4	+	+	X
aiti-5290	1451	5	+	+	ADJ
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aiti-5290	1451	8	(	(	PUNCT
aiti-5290	1451	9	a12	a12	PROPN
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aiti-5290	1451	11	1	1	NUM
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aiti-5290	1451	13	2	2	NUM
aiti-5290	1451	14	11	11	NUM
aiti-5290	1451	15	2	2	NUM
aiti-5290	1451	16	2	2	NUM
aiti-5290	1451	17	1	1	NUM
aiti-5290	1451	18	2	2	NUM
aiti-5290	1451	19	1	1	NUM
aiti-5290	1451	20	1	1	NUM
aiti-5290	1451	21	2	2	NUM
aiti-5290	1451	22	1	1	NUM
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aiti-5290	1451	24	1	1	NUM
aiti-5290	1451	25	2	2	NUM
aiti-5290	1451	26	1	1	NUM
aiti-5290	1451	27	1	1	NUM
aiti-5290	1451	28	2	2	NUM
aiti-5290	1451	29	1	1	NUM
aiti-5290	1451	30	1	1	NUM
aiti-5290	1451	31	2	2	NUM
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aiti-5290	1451	46	ϕ	ϕ	X
aiti-5290	1451	47	ϕ	ϕ	X
aiti-5290	1451	48	ϕ	ϕ	X
aiti-5290	1451	49	ϕ	ϕ	X
aiti-5290	1451	50	ϕ	ϕ	X
aiti-5290	1451	51	ϕ	ϕ	X
aiti-5290	1451	52	ϕ	ϕ	X
aiti-5290	1451	53	ϕ	ϕ	X
aiti-5290	1451	54	ϕ	ϕ	X
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aiti-5290	1451	58	ϕ′′	ϕ′′	VERB
aiti-5290	1451	59	′′	′′	PROPN
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aiti-5290	1452	1	′′	′′	PROPN
aiti-5290	1452	2	′′′	′′′	VERB
aiti-5290	1453	1	′	′	NUM
aiti-5290	1453	2	′	′	NUM
aiti-5290	1454	1	′′	′′	PROPN
aiti-5290	1454	2	′′′	′′′	VERB
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aiti-5290	1454	5	′′′	′′′	INTJ
aiti-5290	1455	1	′	′	NUM
aiti-5290	1455	2	′=	′=	PROPN
aiti-5290	1456	1	+	+	PUNCT
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aiti-5290	1457	7	(	(	PUNCT
aiti-5290	1457	8	a13	a13	PROPN
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aiti-5290	1457	39	ϕ	ϕ	X
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aiti-5290	1457	41	ϕ	ϕ	X
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aiti-5290	1457	43	ϕ′′	ϕ′′	VERB
aiti-5290	1458	1	′′	′′	PROPN
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aiti-5290	1459	2	′=	′=	PROPN
aiti-5290	1460	1	+	+	PUNCT
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aiti-5290	1461	5	(	(	PUNCT
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aiti-5290	1478	2	i	i	VERB
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aiti-5290	1482	1	l	l	X
aiti-5290	1482	2	l	l	NOUN
aiti-5290	1482	3	l	l	NOUN
aiti-5290	1483	1	i	i	PRON
aiti-5290	1483	2	c	c	VERB
aiti-5290	1483	3	g	g	PROPN
aiti-5290	1483	4	dx	dx	PROPN
aiti-5290	1483	5	dx	dx	PROPN
aiti-5290	1483	6	dx	dx	PROPN
aiti-5290	1483	7	dx	dx	PROPN
aiti-5290	1483	8	dxϕ	dxϕ	PROPN
aiti-5290	1484	1	ϕ	ϕ	PROPN
aiti-5290	1484	2	ϕ	ϕ	X
aiti-5290	1484	3	ϕ	ϕ	X
aiti-5290	1484	4	ϕ	ϕ	PROPN
aiti-5290	1484	5	−	−	PROPN
aiti-5290	1484	6	−=	−=	NOUN
aiti-5290	1484	7			PROPN
aiti-5290	1484	8	′′	′′	NOUN
aiti-5290	1484	9	′	′	NUM
aiti-5290	1484	10	′	′	NUM
aiti-5290	1485	1	′	′	NUM
aiti-5290	1486	1	′=	′=	PROPN
aiti-5290	1487	1	+	+	CCONJ
aiti-5290	1488	1			ADJ
aiti-5290	1488	2			NOUN
aiti-5290	1488	3	∑∫	∑∫	ADJ
aiti-5290	1488	4	∫	∫	PROPN
aiti-5290	1488	5	∫	∫	PROPN
aiti-5290	1488	6	∫	∫	PROPN
aiti-5290	1488	7	∫ɶ	∫ɶ	PROPN
aiti-5290	1488	8	ɶ	ɶ	PROPN
aiti-5290	1488	9	(	(	PUNCT
aiti-5290	1488	10	a18	a18	PROPN
aiti-5290	1488	11	)	)	PUNCT
aiti-5290	1488	12	1	1	NUM
aiti-5290	1488	13	1	1	NUM
aiti-5290	1488	14	21	21	NUM
aiti-5290	1488	15	17	17	NUM
aiti-5290	1488	16	1	1	NUM
aiti-5290	1488	17	1	1	NUM
aiti-5290	1488	18	1	1	NUM
aiti-5290	1488	19	1	1	NUM
aiti-5290	1488	20	2	2	NUM
aiti-5290	1488	21	1	1	NUM
aiti-5290	1488	22	1	1	NUM
aiti-5290	1488	23	20	20	NUM
aiti-5290	1488	24	1	1	NUM
aiti-5290	1488	25	(	(	PUNCT
aiti-5290	1488	26	)	)	PUNCT
aiti-5290	1489	1	i	i	PRON
aiti-5290	1489	2	i	i	PRON
aiti-5290	1490	1	i	i	PRON
aiti-5290	1490	2	i	i	PRON
aiti-5290	1491	1	i	i	PRON
aiti-5290	1491	2	i	i	PRON
aiti-5290	1492	1	i	i	PRON
aiti-5290	1492	2	i	i	VERB
aiti-5290	1492	3	x	x	VERB
aiti-5290	1493	1	x	x	PUNCT
aiti-5290	1493	2	x	x	PUNCT
aiti-5290	1493	3	x	x	PUNCT
aiti-5290	1493	4	i	i	PRON
aiti-5290	1494	1	i	i	PRON
aiti-5290	1494	2	i	i	PRON
aiti-5290	1495	1	i	i	VERB
aiti-5290	1495	2	l	l	VERB
aiti-5290	1496	1	l	l	X
aiti-5290	1496	2	l	l	NOUN
aiti-5290	1496	3	l	l	NOUN
aiti-5290	1497	1	i	i	PRON
aiti-5290	1497	2	c	c	VERB
aiti-5290	1497	3	g	g	PROPN
aiti-5290	1497	4	dx	dx	PROPN
aiti-5290	1497	5	dx	dx	PROPN
aiti-5290	1497	6	dx	dx	PROPN
aiti-5290	1497	7	dx	dx	PROPN
aiti-5290	1497	8	dxϕ	dxϕ	PROPN
aiti-5290	1498	1	ϕ	ϕ	PROPN
aiti-5290	1498	2	ϕ	ϕ	X
aiti-5290	1498	3	ϕ	ϕ	X
aiti-5290	1498	4	ϕ	ϕ	X
aiti-5290	1498	5	ϕ	ϕ	X
aiti-5290	1498	6	ϕ	ϕ	PROPN
aiti-5290	1498	7	−	−	PROPN
aiti-5290	1498	8	−=	−=	NOUN
aiti-5290	1498	9			PROPN
aiti-5290	1498	10	′′	′′	NOUN
aiti-5290	1498	11	′	′	NUM
aiti-5290	1498	12	′	′	NUM
aiti-5290	1499	1	′	′	NUM
aiti-5290	1500	1	′	′	NUM
aiti-5290	1501	1	′	′	NUM
aiti-5290	1502	1	′=	′=	PROPN
aiti-5290	1503	1	+	+	CCONJ
aiti-5290	1504	1			ADJ
aiti-5290	1504	2			NOUN
aiti-5290	1504	3	∑∫	∑∫	ADJ
aiti-5290	1504	4	∫	∫	PROPN
aiti-5290	1504	5	∫	∫	PROPN
aiti-5290	1504	6	∫	∫	PROPN
aiti-5290	1504	7	∫ɶ	∫ɶ	PROPN
aiti-5290	1504	8	ɶ	ɶ	PROPN
aiti-5290	1504	9	(	(	PUNCT
aiti-5290	1504	10	a19	a19	PROPN
aiti-5290	1504	11	)	)	PUNCT
aiti-5290	1504	12	1	1	NUM
aiti-5290	1504	13	1	1	NUM
aiti-5290	1504	14	21	21	NUM
aiti-5290	1504	15	2	2	NUM
aiti-5290	1504	16	2	2	NUM
aiti-5290	1504	17	18	18	NUM
aiti-5290	1504	18	1	1	NUM
aiti-5290	1504	19	1	1	NUM
aiti-5290	1504	20	2	2	NUM
aiti-5290	1504	21	1	1	NUM
aiti-5290	1504	22	2	2	NUM
aiti-5290	1504	23	10	10	NUM
aiti-5290	1504	24	1	1	NUM
aiti-5290	1504	25	(	(	PUNCT
aiti-5290	1504	26	)	)	PUNCT
aiti-5290	1505	1	i	i	PRON
aiti-5290	1505	2	i	i	PRON
aiti-5290	1506	1	i	i	PRON
aiti-5290	1506	2	i	i	PRON
aiti-5290	1507	1	i	i	PRON
aiti-5290	1507	2	i	i	PRON
aiti-5290	1508	1	i	i	PRON
aiti-5290	1508	2	i	i	VERB
aiti-5290	1508	3	x	x	VERB
aiti-5290	1509	1	x	x	PUNCT
aiti-5290	1509	2	x	x	PUNCT
aiti-5290	1509	3	x	x	PUNCT
aiti-5290	1509	4	i	i	PRON
aiti-5290	1510	1	i	i	PRON
aiti-5290	1510	2	i	i	PRON
aiti-5290	1511	1	i	i	VERB
aiti-5290	1511	2	l	l	VERB
aiti-5290	1512	1	l	l	X
aiti-5290	1512	2	l	l	NOUN
aiti-5290	1512	3	l	l	NOUN
aiti-5290	1513	1	i	i	PRON
aiti-5290	1513	2	c	c	VERB
aiti-5290	1513	3	g	g	PROPN
aiti-5290	1513	4	dx	dx	PROPN
aiti-5290	1513	5	dx	dx	PROPN
aiti-5290	1513	6	dx	dx	PROPN
aiti-5290	1513	7	dx	dx	PROPN
aiti-5290	1513	8	dxϕ	dxϕ	PROPN
aiti-5290	1514	1	ϕ	ϕ	PROPN
aiti-5290	1514	2	ϕ	ϕ	X
aiti-5290	1514	3	ϕ	ϕ	X
aiti-5290	1514	4	ϕ	ϕ	PROPN
aiti-5290	1514	5	−	−	PROPN
aiti-5290	1514	6	−=	−=	NOUN
aiti-5290	1514	7			PROPN
aiti-5290	1514	8	′′	′′	NOUN
aiti-5290	1514	9	′	′	NUM
aiti-5290	1514	10	′	′	NUM
aiti-5290	1515	1	′	′	NUM
aiti-5290	1516	1	′=	′=	PROPN
aiti-5290	1517	1	+	+	CCONJ
aiti-5290	1517	2			ADJ
aiti-5290	1517	3			NOUN
aiti-5290	1517	4	∑∫	∑∫	ADJ
aiti-5290	1517	5	∫	∫	PROPN
aiti-5290	1517	6	∫	∫	PROPN
aiti-5290	1517	7	∫	∫	PROPN
aiti-5290	1517	8	∫ɶ	∫ɶ	PROPN
aiti-5290	1517	9	ɶ	ɶ	PROPN
aiti-5290	1517	10	(	(	PUNCT
aiti-5290	1517	11	a20	a20	PROPN
aiti-5290	1517	12	)	)	PUNCT
aiti-5290	1517	13	1	1	NUM
aiti-5290	1517	14	1	1	NUM
aiti-5290	1517	15	21	21	NUM
aiti-5290	1517	16	19	19	NUM
aiti-5290	1517	17	1	1	NUM
aiti-5290	1517	18	1	1	NUM
aiti-5290	1517	19	2	2	NUM
aiti-5290	1517	20	1	1	NUM
aiti-5290	1517	21	2	2	NUM
aiti-5290	1517	22	2	2	NUM
aiti-5290	1517	23	1	1	NUM
aiti-5290	1517	24	20	20	NUM
aiti-5290	1517	25	1	1	NUM
aiti-5290	1517	26	(	(	PUNCT
aiti-5290	1517	27	)	)	PUNCT
aiti-5290	1518	1	i	i	PRON
aiti-5290	1518	2	i	i	PRON
aiti-5290	1519	1	i	i	PRON
aiti-5290	1519	2	i	i	PRON
aiti-5290	1520	1	i	i	PRON
aiti-5290	1520	2	i	i	PRON
aiti-5290	1521	1	i	i	PRON
aiti-5290	1521	2	i	i	VERB
aiti-5290	1521	3	x	x	VERB
aiti-5290	1522	1	x	x	PUNCT
aiti-5290	1522	2	x	x	PUNCT
aiti-5290	1522	3	x	x	PUNCT
aiti-5290	1522	4	i	i	PRON
aiti-5290	1523	1	i	i	PRON
aiti-5290	1523	2	i	i	PRON
aiti-5290	1524	1	i	i	VERB
aiti-5290	1524	2	l	l	VERB
aiti-5290	1525	1	l	l	X
aiti-5290	1525	2	l	l	NOUN
aiti-5290	1525	3	l	l	NOUN
aiti-5290	1526	1	i	i	PRON
aiti-5290	1526	2	c	c	VERB
aiti-5290	1526	3	g	g	PROPN
aiti-5290	1526	4	dx	dx	PROPN
aiti-5290	1526	5	dx	dx	PROPN
aiti-5290	1526	6	dx	dx	PROPN
aiti-5290	1526	7	dx	dx	PROPN
aiti-5290	1526	8	dxϕ	dxϕ	PROPN
aiti-5290	1527	1	ϕ	ϕ	PROPN
aiti-5290	1527	2	ϕ	ϕ	X
aiti-5290	1527	3	ϕ	ϕ	X
aiti-5290	1527	4	ϕ	ϕ	X
aiti-5290	1527	5	ϕ	ϕ	X
aiti-5290	1527	6	ϕ	ϕ	PROPN
aiti-5290	1527	7	−	−	PROPN
aiti-5290	1527	8	−=	−=	NOUN
aiti-5290	1527	9			PROPN
aiti-5290	1527	10	′′	′′	NOUN
aiti-5290	1527	11	′	′	NUM
aiti-5290	1527	12	′	′	NUM
aiti-5290	1528	1	′	′	NUM
aiti-5290	1529	1	′	′	NUM
aiti-5290	1530	1	′	′	NUM
aiti-5290	1531	1	′=	′=	PROPN
aiti-5290	1532	1	+	+	CCONJ
aiti-5290	1533	1			ADJ
aiti-5290	1533	2			NOUN
aiti-5290	1533	3	∑∫	∑∫	ADJ
aiti-5290	1533	4	∫	∫	PROPN
aiti-5290	1533	5	∫	∫	PROPN
aiti-5290	1533	6	∫	∫	PROPN
aiti-5290	1533	7	∫ɶ	∫ɶ	PROPN
aiti-5290	1533	8	ɶ	ɶ	PROPN
aiti-5290	1533	9	(	(	PUNCT
aiti-5290	1533	10	a21	a21	PROPN
aiti-5290	1533	11	)	)	PUNCT
aiti-5290	1533	12	1	1	NUM
aiti-5290	1533	13	1	1	NUM
aiti-5290	1533	14	21	21	NUM
aiti-5290	1533	15	2	2	NUM
aiti-5290	1533	16	2	2	NUM
aiti-5290	1533	17	20	20	NUM
aiti-5290	1533	18	1	1	NUM
aiti-5290	1533	19	1	1	NUM
aiti-5290	1533	20	1	1	NUM
aiti-5290	1533	21	2	2	NUM
aiti-5290	1533	22	1	1	NUM
aiti-5290	1533	23	20	20	NUM
aiti-5290	1533	24	1	1	NUM
aiti-5290	1533	25	(	(	PUNCT
aiti-5290	1533	26	)	)	PUNCT
aiti-5290	1534	1	i	i	PRON
aiti-5290	1534	2	i	i	PRON
aiti-5290	1535	1	i	i	PRON
aiti-5290	1535	2	i	i	PRON
aiti-5290	1536	1	i	i	PRON
aiti-5290	1536	2	i	i	PRON
aiti-5290	1537	1	i	i	PRON
aiti-5290	1537	2	i	i	VERB
aiti-5290	1537	3	x	x	VERB
aiti-5290	1538	1	x	x	PUNCT
aiti-5290	1538	2	x	x	PUNCT
aiti-5290	1538	3	x	x	PUNCT
aiti-5290	1538	4	i	i	PRON
aiti-5290	1539	1	i	i	PRON
aiti-5290	1539	2	i	i	PRON
aiti-5290	1540	1	i	i	VERB
aiti-5290	1540	2	l	l	VERB
aiti-5290	1541	1	l	l	X
aiti-5290	1541	2	l	l	NOUN
aiti-5290	1541	3	l	l	NOUN
aiti-5290	1542	1	i	i	PRON
aiti-5290	1542	2	c	c	VERB
aiti-5290	1542	3	g	g	PROPN
aiti-5290	1542	4	dx	dx	PROPN
aiti-5290	1542	5	dx	dx	PROPN
aiti-5290	1542	6	dx	dx	PROPN
aiti-5290	1542	7	dx	dx	PROPN
aiti-5290	1542	8	dxϕ	dxϕ	PROPN
aiti-5290	1543	1	ϕ	ϕ	PROPN
aiti-5290	1543	2	ϕ	ϕ	X
aiti-5290	1543	3	ϕ	ϕ	X
aiti-5290	1543	4	ϕ	ϕ	PROPN
aiti-5290	1543	5	−	−	PROPN
aiti-5290	1543	6	−=	−=	NOUN
aiti-5290	1543	7			PROPN
aiti-5290	1543	8	′′	′′	NOUN
aiti-5290	1543	9	′	′	NUM
aiti-5290	1543	10	′	′	NUM
aiti-5290	1544	1	′	′	NUM
aiti-5290	1545	1	′=	′=	PROPN
aiti-5290	1546	1	+	+	CCONJ
aiti-5290	1547	1			ADJ
aiti-5290	1547	2			NOUN
aiti-5290	1547	3	∑∫	∑∫	ADJ
aiti-5290	1547	4	∫	∫	PROPN
aiti-5290	1547	5	∫	∫	PROPN
aiti-5290	1547	6	∫	∫	PROPN
aiti-5290	1547	7	∫ɶ	∫ɶ	PROPN
aiti-5290	1547	8	ɶ	ɶ	PROPN
aiti-5290	1547	9	(	(	PUNCT
aiti-5290	1547	10	a22	a22	PROPN
aiti-5290	1547	11	)	)	PUNCT
aiti-5290	1547	12	1	1	NUM
aiti-5290	1547	13	1	1	NUM
aiti-5290	1547	14	21	21	NUM
aiti-5290	1547	15	2	2	NUM
aiti-5290	1547	16	2	2	NUM
aiti-5290	1547	17	21	21	NUM
aiti-5290	1547	18	2	2	NUM
aiti-5290	1547	19	2	2	NUM
aiti-5290	1547	20	1	1	NUM
aiti-5290	1547	21	1	1	NUM
aiti-5290	1547	22	1	1	NUM
aiti-5290	1547	23	10	10	NUM
aiti-5290	1547	24	1	1	NUM
aiti-5290	1547	25	(	(	PUNCT
aiti-5290	1547	26	)	)	PUNCT
aiti-5290	1548	1	i	i	PRON
aiti-5290	1548	2	i	i	PRON
aiti-5290	1549	1	i	i	PRON
aiti-5290	1549	2	i	i	PRON
aiti-5290	1550	1	i	i	PRON
aiti-5290	1550	2	i	i	PRON
aiti-5290	1551	1	i	i	PRON
aiti-5290	1551	2	i	i	VERB
aiti-5290	1551	3	x	x	VERB
aiti-5290	1552	1	x	x	PUNCT
aiti-5290	1552	2	x	x	PUNCT
aiti-5290	1552	3	x	x	PUNCT
aiti-5290	1552	4	i	i	PRON
aiti-5290	1553	1	i	i	PRON
aiti-5290	1553	2	i	i	PRON
aiti-5290	1554	1	i	i	VERB
aiti-5290	1554	2	l	l	VERB
aiti-5290	1555	1	l	l	X
aiti-5290	1555	2	l	l	NOUN
aiti-5290	1555	3	l	l	NOUN
aiti-5290	1556	1	i	i	PRON
aiti-5290	1556	2	c	c	VERB
aiti-5290	1556	3	g	g	PROPN
aiti-5290	1556	4	dx	dx	PROPN
aiti-5290	1556	5	dx	dx	PROPN
aiti-5290	1556	6	dx	dx	PROPN
aiti-5290	1556	7	dx	dx	PROPN
aiti-5290	1556	8	dxϕ	dxϕ	PROPN
aiti-5290	1557	1	ϕ	ϕ	PROPN
aiti-5290	1557	2	ϕ	ϕ	X
aiti-5290	1557	3	ϕ	ϕ	X
aiti-5290	1557	4	ϕ	ϕ	PROPN
aiti-5290	1557	5	−	−	PROPN
aiti-5290	1557	6	−=	−=	NOUN
aiti-5290	1557	7			PROPN
aiti-5290	1557	8	′′	′′	NOUN
aiti-5290	1557	9	′	′	NUM
aiti-5290	1557	10	′	′	NUM
aiti-5290	1558	1	′	′	NUM
aiti-5290	1559	1	′=	′=	PROPN
aiti-5290	1560	1	+	+	CCONJ
aiti-5290	1561	1			ADJ
aiti-5290	1561	2			NOUN
aiti-5290	1561	3	∑∫	∑∫	ADJ
aiti-5290	1561	4	∫	∫	PROPN
aiti-5290	1561	5	∫	∫	PROPN
aiti-5290	1561	6	∫	∫	PROPN
aiti-5290	1561	7	∫ɶ	∫ɶ	PROPN
aiti-5290	1561	8	ɶ	ɶ	PROPN
aiti-5290	1561	9	(	(	PUNCT
aiti-5290	1561	10	a23	a23	PROPN
aiti-5290	1561	11	)	)	PUNCT
aiti-5290	1561	12	1	1	NUM
aiti-5290	1561	13	1	1	NUM
aiti-5290	1561	14	21	21	NUM
aiti-5290	1561	15	22	22	NUM
aiti-5290	1561	16	2	2	NUM
aiti-5290	1561	17	2	2	NUM
aiti-5290	1561	18	1	1	NUM
aiti-5290	1561	19	1	1	NUM
aiti-5290	1561	20	2	2	NUM
aiti-5290	1561	21	1	1	NUM
aiti-5290	1561	22	1	1	NUM
aiti-5290	1561	23	20	20	NUM
aiti-5290	1561	24	1	1	NUM
aiti-5290	1561	25	(	(	PUNCT
aiti-5290	1561	26	)	)	PUNCT
aiti-5290	1562	1	i	i	PRON
aiti-5290	1562	2	i	i	PRON
aiti-5290	1563	1	i	i	PRON
aiti-5290	1563	2	i	i	PRON
aiti-5290	1564	1	i	i	PRON
aiti-5290	1564	2	i	i	PRON
aiti-5290	1565	1	i	i	PRON
aiti-5290	1565	2	i	i	VERB
aiti-5290	1565	3	x	x	VERB
aiti-5290	1566	1	x	x	PUNCT
aiti-5290	1566	2	x	x	PUNCT
aiti-5290	1566	3	x	x	PUNCT
aiti-5290	1566	4	i	i	PRON
aiti-5290	1567	1	i	i	PRON
aiti-5290	1567	2	i	i	PRON
aiti-5290	1568	1	i	i	VERB
aiti-5290	1568	2	l	l	VERB
aiti-5290	1569	1	l	l	X
aiti-5290	1569	2	l	l	NOUN
aiti-5290	1569	3	l	l	NOUN
aiti-5290	1570	1	i	i	PRON
aiti-5290	1570	2	c	c	VERB
aiti-5290	1570	3	g	g	PROPN
aiti-5290	1570	4	dx	dx	PROPN
aiti-5290	1570	5	dx	dx	PROPN
aiti-5290	1570	6	dx	dx	PROPN
aiti-5290	1570	7	dx	dx	PROPN
aiti-5290	1570	8	dxϕ	dxϕ	PROPN
aiti-5290	1571	1	ϕ	ϕ	PROPN
aiti-5290	1571	2	ϕ	ϕ	X
aiti-5290	1571	3	ϕ	ϕ	X
aiti-5290	1571	4	ϕ	ϕ	X
aiti-5290	1571	5	ϕ	ϕ	X
aiti-5290	1571	6	ϕ	ϕ	PROPN
aiti-5290	1571	7	−	−	PROPN
aiti-5290	1571	8	−=	−=	NOUN
aiti-5290	1571	9			PROPN
aiti-5290	1571	10	′′	′′	NOUN
aiti-5290	1571	11	′	′	NUM
aiti-5290	1571	12	′	′	NUM
aiti-5290	1572	1	′	′	NUM
aiti-5290	1573	1	′	′	NUM
aiti-5290	1574	1	′	′	NUM
aiti-5290	1575	1	′=	′=	PROPN
aiti-5290	1576	1	+	+	CCONJ
aiti-5290	1576	2			ADJ
aiti-5290	1576	3			NOUN
aiti-5290	1576	4	∑∫	∑∫	ADJ
aiti-5290	1576	5	∫	∫	PROPN
aiti-5290	1576	6	∫	∫	PROPN
aiti-5290	1576	7	∫	∫	PROPN
aiti-5290	1576	8	∫ɶ	∫ɶ	PROPN
aiti-5290	1576	9	ɶ	ɶ	PROPN
aiti-5290	1576	10	(	(	PUNCT
aiti-5290	1576	11	a24	a24	PROPN
aiti-5290	1576	12	)	)	PUNCT
aiti-5290	1576	13	1	1	NUM
aiti-5290	1576	14	1	1	NUM
aiti-5290	1576	15	21	21	NUM
aiti-5290	1576	16	2	2	NUM
aiti-5290	1576	17	2	2	NUM
aiti-5290	1576	18	23	23	NUM
aiti-5290	1576	19	2	2	NUM
aiti-5290	1576	20	2	2	NUM
aiti-5290	1576	21	2	2	NUM
aiti-5290	1576	22	1	1	NUM
aiti-5290	1576	23	2	2	NUM
aiti-5290	1576	24	10	10	NUM
aiti-5290	1576	25	1	1	NUM
aiti-5290	1576	26	(	(	PUNCT
aiti-5290	1576	27	)	)	PUNCT
aiti-5290	1577	1	i	i	PRON
aiti-5290	1577	2	i	i	PRON
aiti-5290	1578	1	i	i	PRON
aiti-5290	1578	2	i	i	PRON
aiti-5290	1579	1	i	i	PRON
aiti-5290	1579	2	i	i	PRON
aiti-5290	1580	1	i	i	PRON
aiti-5290	1580	2	i	i	VERB
aiti-5290	1580	3	x	x	VERB
aiti-5290	1581	1	x	x	PUNCT
aiti-5290	1581	2	x	x	PUNCT
aiti-5290	1581	3	x	x	PUNCT
aiti-5290	1581	4	i	i	PRON
aiti-5290	1582	1	i	i	PRON
aiti-5290	1582	2	i	i	PRON
aiti-5290	1583	1	i	i	VERB
aiti-5290	1583	2	l	l	VERB
aiti-5290	1584	1	l	l	X
aiti-5290	1584	2	l	l	NOUN
aiti-5290	1584	3	l	l	NOUN
aiti-5290	1585	1	i	i	PRON
aiti-5290	1585	2	c	c	VERB
aiti-5290	1585	3	g	g	PROPN
aiti-5290	1585	4	dx	dx	PROPN
aiti-5290	1585	5	dx	dx	PROPN
aiti-5290	1585	6	dx	dx	PROPN
aiti-5290	1585	7	dx	dx	PROPN
aiti-5290	1585	8	dxϕ	dxϕ	PROPN
aiti-5290	1586	1	ϕ	ϕ	PROPN
aiti-5290	1586	2	ϕ	ϕ	X
aiti-5290	1586	3	ϕ	ϕ	X
aiti-5290	1586	4	ϕ	ϕ	PROPN
aiti-5290	1586	5	−	−	PROPN
aiti-5290	1586	6	−=	−=	NOUN
aiti-5290	1586	7			PROPN
aiti-5290	1586	8	′′	′′	NOUN
aiti-5290	1586	9	′	′	NUM
aiti-5290	1586	10	′	′	NUM
aiti-5290	1587	1	′	′	NUM
aiti-5290	1588	1	′=	′=	PROPN
aiti-5290	1589	1	+	+	CCONJ
aiti-5290	1590	1			ADJ
aiti-5290	1590	2			NOUN
aiti-5290	1590	3	∑∫	∑∫	ADJ
aiti-5290	1590	4	∫	∫	PROPN
aiti-5290	1590	5	∫	∫	PROPN
aiti-5290	1590	6	∫	∫	PROPN
aiti-5290	1590	7	∫ɶ	∫ɶ	PROPN
aiti-5290	1590	8	ɶ	ɶ	PROPN
aiti-5290	1590	9	(	(	PUNCT
aiti-5290	1590	10	a25	a25	PROPN
aiti-5290	1590	11	)	)	PUNCT
aiti-5290	1590	12	1	1	NUM
aiti-5290	1590	13	1	1	NUM
aiti-5290	1590	14	21	21	NUM
aiti-5290	1590	15	2	2	NUM
aiti-5290	1590	16	2	2	NUM
aiti-5290	1590	17	24	24	NUM
aiti-5290	1590	18	2	2	NUM
aiti-5290	1590	19	2	2	NUM
aiti-5290	1590	20	2	2	NUM
aiti-5290	1590	21	2	2	NUM
aiti-5290	1590	22	2	2	NUM
aiti-5290	1590	23	20	20	NUM
aiti-5290	1590	24	1	1	NUM
aiti-5290	1590	25	(	(	PUNCT
aiti-5290	1590	26	)	)	PUNCT
aiti-5290	1591	1	i	i	PRON
aiti-5290	1591	2	i	i	PRON
aiti-5290	1592	1	i	i	PRON
aiti-5290	1592	2	i	i	PRON
aiti-5290	1593	1	i	i	PRON
aiti-5290	1593	2	i	i	PRON
aiti-5290	1594	1	i	i	PRON
aiti-5290	1594	2	i	i	VERB
aiti-5290	1594	3	x	x	VERB
aiti-5290	1595	1	x	x	PUNCT
aiti-5290	1595	2	x	x	PUNCT
aiti-5290	1595	3	x	x	PUNCT
aiti-5290	1595	4	i	i	PRON
aiti-5290	1596	1	i	i	PRON
aiti-5290	1596	2	i	i	PRON
aiti-5290	1597	1	i	i	VERB
aiti-5290	1597	2	l	l	VERB
aiti-5290	1598	1	l	l	X
aiti-5290	1598	2	l	l	NOUN
aiti-5290	1598	3	l	l	NOUN
aiti-5290	1599	1	i	i	PRON
aiti-5290	1599	2	c	c	VERB
aiti-5290	1599	3	g	g	PROPN
aiti-5290	1599	4	dx	dx	PROPN
aiti-5290	1599	5	dx	dx	PROPN
aiti-5290	1599	6	dx	dx	PROPN
aiti-5290	1599	7	dx	dx	PROPN
aiti-5290	1599	8	dxϕ	dxϕ	PROPN
aiti-5290	1600	1	ϕ	ϕ	PROPN
aiti-5290	1600	2	ϕ	ϕ	X
aiti-5290	1600	3	ϕ	ϕ	X
aiti-5290	1600	4	ϕ	ϕ	PROPN
aiti-5290	1600	5	−	−	PROPN
aiti-5290	1600	6	−=	−=	NOUN
aiti-5290	1600	7			PROPN
aiti-5290	1600	8	′′	′′	NOUN
aiti-5290	1600	9	′	′	NUM
aiti-5290	1600	10	′	′	NUM
aiti-5290	1601	1	′	′	NUM
aiti-5290	1602	1	′=	′=	PROPN
aiti-5290	1603	1	+	+	CCONJ
aiti-5290	1604	1			ADJ
aiti-5290	1604	2			NOUN
aiti-5290	1604	3	∑∫	∑∫	ADJ
aiti-5290	1604	4	∫	∫	PROPN
aiti-5290	1604	5	∫	∫	PROPN
aiti-5290	1604	6	∫	∫	PROPN
aiti-5290	1604	7	∫ɶ	∫ɶ	PROPN
aiti-5290	1604	8	ɶ	ɶ	PROPN
aiti-5290	1604	9	(	(	PUNCT
aiti-5290	1604	10	a26	a26	PROPN
aiti-5290	1604	11	)	)	PUNCT
aiti-5290	1604	12	1	1	NUM
aiti-5290	1604	13	1	1	NUM
aiti-5290	1604	14	21	21	NUM
aiti-5290	1604	15	2	2	NUM
aiti-5290	1604	16	2	2	NUM
aiti-5290	1604	17	25	25	NUM
aiti-5290	1604	18	2	2	NUM
aiti-5290	1604	19	1	1	NUM
aiti-5290	1604	20	2	2	NUM
aiti-5290	1604	21	2	2	NUM
aiti-5290	1604	22	2	2	NUM
aiti-5290	1604	23	20	20	NUM
aiti-5290	1604	24	1	1	NUM
aiti-5290	1604	25	(	(	PUNCT
aiti-5290	1604	26	)	)	PUNCT
aiti-5290	1605	1	i	i	PRON
aiti-5290	1605	2	i	i	PRON
aiti-5290	1606	1	i	i	PRON
aiti-5290	1606	2	i	i	PRON
aiti-5290	1607	1	i	i	PRON
aiti-5290	1607	2	i	i	PRON
aiti-5290	1608	1	i	i	PRON
aiti-5290	1608	2	i	i	VERB
aiti-5290	1608	3	x	x	VERB
aiti-5290	1609	1	x	x	PUNCT
aiti-5290	1609	2	x	x	PUNCT
aiti-5290	1609	3	x	x	PUNCT
aiti-5290	1609	4	i	i	PRON
aiti-5290	1610	1	i	i	PRON
aiti-5290	1610	2	i	i	PRON
aiti-5290	1611	1	i	i	VERB
aiti-5290	1611	2	l	l	VERB
aiti-5290	1612	1	l	l	X
aiti-5290	1612	2	l	l	NOUN
aiti-5290	1612	3	l	l	NOUN
aiti-5290	1613	1	i	i	PRON
aiti-5290	1613	2	c	c	VERB
aiti-5290	1613	3	g	g	PROPN
aiti-5290	1613	4	dx	dx	PROPN
aiti-5290	1613	5	dx	dx	PROPN
aiti-5290	1613	6	dx	dx	PROPN
aiti-5290	1613	7	dx	dx	PROPN
aiti-5290	1613	8	dxϕ	dxϕ	PROPN
aiti-5290	1614	1	ϕ	ϕ	PROPN
aiti-5290	1614	2	ϕ	ϕ	X
aiti-5290	1614	3	ϕ	ϕ	X
aiti-5290	1614	4	ϕ	ϕ	PROPN
aiti-5290	1614	5	−	−	PROPN
aiti-5290	1614	6	−=	−=	NOUN
aiti-5290	1614	7			PROPN
aiti-5290	1614	8	′′	′′	NOUN
aiti-5290	1614	9	′	′	NUM
aiti-5290	1614	10	′	′	NUM
aiti-5290	1615	1	′	′	NUM
aiti-5290	1616	1	′=	′=	PROPN
aiti-5290	1617	1	+	+	CCONJ
aiti-5290	1617	2			ADJ
aiti-5290	1617	3			NOUN
aiti-5290	1617	4	∑∫	∑∫	ADJ
aiti-5290	1617	5	∫	∫	PROPN
aiti-5290	1617	6	∫	∫	PROPN
aiti-5290	1617	7	∫	∫	PROPN
aiti-5290	1617	8	∫ɶ	∫ɶ	PROPN
aiti-5290	1617	9	ɶ	ɶ	PROPN
aiti-5290	1617	10	(	(	PUNCT
aiti-5290	1617	11	a27	a27	PROPN
aiti-5290	1617	12	)	)	PUNCT
aiti-5290	1617	13	1	1	NUM
aiti-5290	1617	14	1	1	NUM
aiti-5290	1617	15	21	21	NUM
aiti-5290	1617	16	26	26	NUM
aiti-5290	1617	17	2	2	NUM
aiti-5290	1617	18	2	2	NUM
aiti-5290	1617	19	2	2	NUM
aiti-5290	1617	20	1	1	NUM
aiti-5290	1617	21	2	2	NUM
aiti-5290	1617	22	2	2	NUM
aiti-5290	1617	23	1	1	NUM
aiti-5290	1617	24	20	20	NUM
aiti-5290	1617	25	1	1	NUM
aiti-5290	1617	26	(	(	PUNCT
aiti-5290	1617	27	)	)	PUNCT
aiti-5290	1618	1	i	i	PRON
aiti-5290	1618	2	i	i	PRON
aiti-5290	1619	1	i	i	PRON
aiti-5290	1619	2	i	i	PRON
aiti-5290	1620	1	i	i	PRON
aiti-5290	1620	2	i	i	PRON
aiti-5290	1621	1	i	i	PRON
aiti-5290	1621	2	i	i	VERB
aiti-5290	1621	3	x	x	VERB
aiti-5290	1622	1	x	x	PUNCT
aiti-5290	1622	2	x	x	PUNCT
aiti-5290	1622	3	x	x	PUNCT
aiti-5290	1622	4	i	i	PRON
aiti-5290	1623	1	i	i	PRON
aiti-5290	1623	2	i	i	PRON
aiti-5290	1624	1	i	i	VERB
aiti-5290	1624	2	l	l	VERB
aiti-5290	1625	1	l	l	X
aiti-5290	1625	2	l	l	NOUN
aiti-5290	1625	3	l	l	NOUN
aiti-5290	1626	1	i	i	PRON
aiti-5290	1626	2	c	c	VERB
aiti-5290	1626	3	g	g	PROPN
aiti-5290	1626	4	dx	dx	PROPN
aiti-5290	1626	5	dx	dx	PROPN
aiti-5290	1626	6	dx	dx	PROPN
aiti-5290	1626	7	dx	dx	PROPN
aiti-5290	1626	8	dxϕ	dxϕ	PROPN
aiti-5290	1627	1	ϕ	ϕ	PROPN
aiti-5290	1627	2	ϕ	ϕ	X
aiti-5290	1627	3	ϕ	ϕ	X
aiti-5290	1627	4	ϕ	ϕ	X
aiti-5290	1627	5	ϕ	ϕ	X
aiti-5290	1627	6	ϕ	ϕ	PROPN
aiti-5290	1627	7	−	−	PROPN
aiti-5290	1627	8	−=	−=	NOUN
aiti-5290	1627	9			PROPN
aiti-5290	1627	10	′′	′′	NOUN
aiti-5290	1627	11	′	′	NUM
aiti-5290	1627	12	′	′	NUM
aiti-5290	1628	1	′	′	NUM
aiti-5290	1629	1	′	′	NUM
aiti-5290	1630	1	′	′	NUM
aiti-5290	1631	1	′=	′=	PROPN
aiti-5290	1632	1	+	+	CCONJ
aiti-5290	1632	2			ADJ
aiti-5290	1632	3			NOUN
aiti-5290	1632	4	∑∫	∑∫	ADJ
aiti-5290	1632	5	∫	∫	PROPN
aiti-5290	1632	6	∫	∫	PROPN
aiti-5290	1632	7	∫	∫	PROPN
aiti-5290	1632	8	∫ɶ	∫ɶ	PROPN
aiti-5290	1632	9	ɶ	ɶ	PROPN
aiti-5290	1632	10	(	(	PUNCT
aiti-5290	1632	11	a28	a28	PROPN
aiti-5290	1632	12	)	)	PUNCT
aiti-5290	1632	13	references	reference	NOUN
aiti-5290	1632	14	[	[	X
aiti-5290	1632	15	1	1	NUM
aiti-5290	1632	16	]	]	PUNCT
aiti-5290	1632	17	e.	e.	PROPN
aiti-5290	1632	18	özkaya	özkaya	PROPN
aiti-5290	1632	19	,	,	PUNCT
aiti-5290	1632	20	“	"	PUNCT
aiti-5290	1632	21	non	non	ADJ
aiti-5290	1632	22	-	-	ADJ
aiti-5290	1632	23	linear	linear	ADJ
aiti-5290	1632	24	transverse	transverse	NOUN
aiti-5290	1632	25	vibrations	vibration	NOUN
aiti-5290	1632	26	of	of	ADP
aiti-5290	1632	27	a	a	DET
aiti-5290	1632	28	simply	simply	ADV
aiti-5290	1632	29	supported	support	VERB
aiti-5290	1632	30	beam	beam	NOUN
aiti-5290	1632	31	carrying	carry	VERB
aiti-5290	1632	32	concentrated	concentrate	VERB
aiti-5290	1632	33	masses	masse	NOUN
aiti-5290	1632	34	,	,	PUNCT
aiti-5290	1632	35	”	"	PUNCT
aiti-5290	1632	36	journal	journal	NOUN
aiti-5290	1632	37	of	of	ADP
aiti-5290	1632	38	sound	sound	NOUN
aiti-5290	1632	39	and	and	CCONJ
aiti-5290	1632	40	vibration	vibration	NOUN
aiti-5290	1632	41	,	,	PUNCT
aiti-5290	1632	42	vol	vol	NOUN
aiti-5290	1632	43	.	.	PROPN
aiti-5290	1632	44	257	257	NUM
aiti-5290	1632	45	,	,	PUNCT
aiti-5290	1632	46	no	no	INTJ
aiti-5290	1632	47	.	.	NOUN
aiti-5290	1632	48	3	3	NUM
aiti-5290	1632	49	,	,	PUNCT
aiti-5290	1632	50	pp	pp	ADJ
aiti-5290	1632	51	.	.	PUNCT
aiti-5290	1633	1	413	413	NUM
aiti-5290	1633	2	-	-	SYM
aiti-5290	1633	3	424	424	NUM
aiti-5290	1633	4	,	,	PUNCT
aiti-5290	1633	5	october	october	PROPN
aiti-5290	1633	6	2002	2002	NUM
aiti-5290	1633	7	.	.	PUNCT
aiti-5290	1634	1	[	[	X
aiti-5290	1634	2	2	2	X
aiti-5290	1634	3	]	]	PUNCT
aiti-5290	1634	4	j.	j.	PROPN
aiti-5290	1634	5	s.	s.	PROPN
aiti-5290	1634	6	mundrey	mundrey	PROPN
aiti-5290	1634	7	,	,	PUNCT
aiti-5290	1634	8	railway	railway	NOUN
aiti-5290	1634	9	track	track	NOUN
aiti-5290	1634	10	engineering	engineering	NOUN
aiti-5290	1634	11	,	,	PUNCT
aiti-5290	1634	12	tata	tata	PROPN
aiti-5290	1634	13	mcgraw	mcgraw	PROPN
aiti-5290	1634	14	-	-	PUNCT
aiti-5290	1634	15	hill	hill	PROPN
aiti-5290	1634	16	,	,	PUNCT
aiti-5290	1634	17	2000	2000	NUM
aiti-5290	1634	18	.	.	PUNCT
aiti-5290	1635	1	[	[	X
aiti-5290	1635	2	3	3	X
aiti-5290	1635	3	]	]	PUNCT
aiti-5290	1635	4	t.	t.	PROPN
aiti-5290	1635	5	phuoc	phuoc	PROPN
aiti-5290	1635	6	nguyen	nguyen	PROPN
aiti-5290	1635	7	,	,	PUNCT
aiti-5290	1635	8	d.	d.	PROPN
aiti-5290	1635	9	trung	trung	PROPN
aiti-5290	1635	10	pham	pham	PROPN
aiti-5290	1635	11	,	,	PUNCT
aiti-5290	1635	12	and	and	CCONJ
aiti-5290	1635	13	p.	p.	PROPN
aiti-5290	1635	14	hoa	hoa	PROPN
aiti-5290	1635	15	hoang	hoang	PROPN
aiti-5290	1635	16	,	,	PUNCT
aiti-5290	1635	17	“	"	PUNCT
aiti-5290	1635	18	effects	effect	NOUN
aiti-5290	1635	19	of	of	ADP
aiti-5290	1635	20	foundation	foundation	NOUN
aiti-5290	1635	21	mass	mass	NOUN
aiti-5290	1635	22	on	on	ADP
aiti-5290	1635	23	dynamic	dynamic	ADJ
aiti-5290	1635	24	responses	response	NOUN
aiti-5290	1635	25	of	of	ADP
aiti-5290	1635	26	beams	beam	NOUN
aiti-5290	1635	27	subjected	subject	VERB
aiti-5290	1635	28	to	to	ADP
aiti-5290	1635	29	moving	move	VERB
aiti-5290	1635	30	oscillators	oscillator	NOUN
aiti-5290	1635	31	,	,	PUNCT
aiti-5290	1635	32	”	"	PUNCT
aiti-5290	1635	33	journal	journal	NOUN
aiti-5290	1635	34	of	of	ADP
aiti-5290	1635	35	vibroengineering	vibroengineere	VERB
aiti-5290	1635	36	,	,	PUNCT
aiti-5290	1635	37	vol	vol	NOUN
aiti-5290	1635	38	.	.	PROPN
aiti-5290	1635	39	22	22	NUM
aiti-5290	1635	40	,	,	PUNCT
aiti-5290	1635	41	no	no	INTJ
aiti-5290	1635	42	.	.	NOUN
aiti-5290	1635	43	2	2	NUM
aiti-5290	1635	44	,	,	PUNCT
aiti-5290	1635	45	pp	pp	ADJ
aiti-5290	1635	46	.	.	PUNCT
aiti-5290	1636	1	280	280	NUM
aiti-5290	1636	2	-	-	SYM
aiti-5290	1636	3	297	297	NUM
aiti-5290	1636	4	,	,	PUNCT
aiti-5290	1636	5	march	march	PROPN
aiti-5290	1636	6	2020	2020	NUM
aiti-5290	1636	7	.	.	PUNCT
aiti-5290	1637	1	[	[	X
aiti-5290	1637	2	4	4	X
aiti-5290	1637	3	]	]	PUNCT
aiti-5290	1637	4	t.	t.	PROPN
aiti-5290	1637	5	p.	p.	PROPN
aiti-5290	1637	6	chang	chang	PROPN
aiti-5290	1637	7	,	,	PUNCT
aiti-5290	1637	8	“	"	PUNCT
aiti-5290	1637	9	nonlinear	nonlinear	ADJ
aiti-5290	1637	10	free	free	ADJ
aiti-5290	1637	11	vibration	vibration	NOUN
aiti-5290	1637	12	analysis	analysis	NOUN
aiti-5290	1637	13	of	of	ADP
aiti-5290	1637	14	nano	nano	NOUN
aiti-5290	1637	15	-	-	PUNCT
aiti-5290	1637	16	beams	beam	NOUN
aiti-5290	1637	17	under	under	ADP
aiti-5290	1637	18	magnetic	magnetic	ADJ
aiti-5290	1637	19	field	field	NOUN
aiti-5290	1637	20	based	base	VERB
aiti-5290	1637	21	on	on	ADP
aiti-5290	1637	22	non	non	ADJ
aiti-5290	1637	23	-	-	ADJ
aiti-5290	1637	24	local	local	ADJ
aiti-5290	1637	25	elasticity	elasticity	NOUN
aiti-5290	1637	26	theory	theory	NOUN
aiti-5290	1637	27	,	,	PUNCT
aiti-5290	1637	28	”	"	PUNCT
aiti-5290	1637	29	journal	journal	NOUN
aiti-5290	1637	30	of	of	ADP
aiti-5290	1637	31	vibroengineering	vibroengineere	VERB
aiti-5290	1637	32	,	,	PUNCT
aiti-5290	1637	33	vol	vol	NOUN
aiti-5290	1637	34	.	.	PROPN
aiti-5290	1637	35	18	18	NUM
aiti-5290	1637	36	,	,	PUNCT
aiti-5290	1637	37	no	no	INTJ
aiti-5290	1637	38	.	.	NOUN
aiti-5290	1637	39	3	3	NUM
aiti-5290	1637	40	,	,	PUNCT
aiti-5290	1637	41	pp	pp	ADJ
aiti-5290	1637	42	.	.	PUNCT
aiti-5290	1637	43	1912	1912	NUM
aiti-5290	1637	44	-	-	SYM
aiti-5290	1637	45	1919	1919	NUM
aiti-5290	1637	46	,	,	PUNCT
aiti-5290	1637	47	may	may	AUX
aiti-5290	1637	48	2016	2016	NUM
aiti-5290	1637	49	.	.	PUNCT
aiti-5290	1638	1	[	[	X
aiti-5290	1638	2	5	5	X
aiti-5290	1638	3	]	]	PUNCT
aiti-5290	1638	4	z.	z.	PROPN
aiti-5290	1638	5	zhang	zhang	PROPN
aiti-5290	1638	6	,	,	PUNCT
aiti-5290	1638	7	s.	s.	PROPN
aiti-5290	1638	8	r.	r.	PROPN
aiti-5290	1638	9	nielsen	nielsen	PROPN
aiti-5290	1638	10	,	,	PUNCT
aiti-5290	1638	11	f.	f.	PROPN
aiti-5290	1638	12	blaabjerg	blaabjerg	PROPN
aiti-5290	1638	13	,	,	PUNCT
aiti-5290	1638	14	and	and	CCONJ
aiti-5290	1638	15	d.	d.	PROPN
aiti-5290	1638	16	zhou	zhou	PROPN
aiti-5290	1638	17	,	,	PUNCT
aiti-5290	1638	18	“	"	PUNCT
aiti-5290	1638	19	dynamics	dynamic	NOUN
aiti-5290	1638	20	and	and	CCONJ
aiti-5290	1638	21	control	control	NOUN
aiti-5290	1638	22	of	of	ADP
aiti-5290	1638	23	lateral	lateral	ADJ
aiti-5290	1638	24	tower	tower	NOUN
aiti-5290	1638	25	vibrations	vibration	NOUN
aiti-5290	1638	26	in	in	ADP
aiti-5290	1638	27	offshore	offshore	ADJ
aiti-5290	1638	28	wind	wind	NOUN
aiti-5290	1638	29	turbines	turbine	NOUN
aiti-5290	1638	30	by	by	ADP
aiti-5290	1638	31	means	mean	NOUN
aiti-5290	1638	32	of	of	ADP
aiti-5290	1638	33	active	active	ADJ
aiti-5290	1638	34	generator	generator	NOUN
aiti-5290	1638	35	torque	torque	NOUN
aiti-5290	1638	36	,	,	PUNCT
aiti-5290	1638	37	”	"	PUNCT
aiti-5290	1638	38	energies	energy	NOUN
aiti-5290	1638	39	,	,	PUNCT
aiti-5290	1638	40	vol	vol	NOUN
aiti-5290	1638	41	.	.	PROPN
aiti-5290	1638	42	7	7	NUM
aiti-5290	1638	43	,	,	PUNCT
aiti-5290	1638	44	no	no	INTJ
aiti-5290	1638	45	.	.	NOUN
aiti-5290	1638	46	11	11	NUM
aiti-5290	1638	47	,	,	PUNCT
aiti-5290	1638	48	pp	pp	ADJ
aiti-5290	1638	49	.	.	PUNCT
aiti-5290	1639	1	7746	7746	NUM
aiti-5290	1639	2	-	-	SYM
aiti-5290	1639	3	7772	7772	NUM
aiti-5290	1639	4	,	,	PUNCT
aiti-5290	1639	5	november	november	PROPN
aiti-5290	1639	6	2014	2014	NUM
aiti-5290	1639	7	.	.	PUNCT
aiti-5290	1640	1	[	[	X
aiti-5290	1640	2	6	6	NUM
aiti-5290	1640	3	]	]	PUNCT
aiti-5290	1640	4	a.	a.	NOUN
aiti-5290	1640	5	h.	h.	PROPN
aiti-5290	1640	6	nayfeh	nayfeh	PROPN
aiti-5290	1640	7	and	and	CCONJ
aiti-5290	1640	8	d.	d.	PROPN
aiti-5290	1640	9	t.	t.	PROPN
aiti-5290	1640	10	mook	mook	PROPN
aiti-5290	1640	11	,	,	PUNCT
aiti-5290	1640	12	nonlinear	nonlinear	ADJ
aiti-5290	1640	13	oscillations	oscillation	NOUN
aiti-5290	1640	14	,	,	PUNCT
aiti-5290	1640	15	wiley	wiley	NOUN
aiti-5290	1640	16	-	-	PUNCT
aiti-5290	1640	17	interscience	interscience	NOUN
aiti-5290	1640	18	publication	publication	NOUN
aiti-5290	1640	19	,	,	PUNCT
aiti-5290	1640	20	new	new	PROPN
aiti-5290	1640	21	york	york	PROPN
aiti-5290	1640	22	,	,	PUNCT
aiti-5290	1640	23	pp.95	pp.95	NOUN
aiti-5290	1640	24	-	-	PUNCT
aiti-5290	1640	25	160	160	NUM
aiti-5290	1640	26	,	,	PUNCT
aiti-5290	1640	27	1995	1995	NUM
aiti-5290	1640	28	.	.	PUNCT
aiti-5290	1641	1	advances	advance	NOUN
aiti-5290	1641	2	in	in	ADP
aiti-5290	1641	3	technology	technology	NOUN
aiti-5290	1641	4	innovation	innovation	NOUN
aiti-5290	1641	5	,	,	PUNCT
aiti-5290	1641	6	vol	vol	NOUN
aiti-5290	1641	7	.	.	PROPN
aiti-5290	1641	8	5	5	NUM
aiti-5290	1641	9	,	,	PUNCT
aiti-5290	1641	10	no	no	INTJ
aiti-5290	1641	11	.	.	NOUN
aiti-5290	1641	12	4	4	NUM
aiti-5290	1641	13	,	,	PUNCT
aiti-5290	1641	14	2020	2020	NUM
aiti-5290	1641	15	,	,	PUNCT
aiti-5290	1641	16	pp	pp	ADV
aiti-5290	1641	17	.	.	PUNCT
aiti-5290	1642	1	270	270	NUM
aiti-5290	1642	2	-	-	SYM
aiti-5290	1642	3	291	291	NUM
aiti-5290	1642	4	291	291	NUM
aiti-5290	1642	5	[	[	X
aiti-5290	1642	6	7	7	X
aiti-5290	1642	7	]	]	PUNCT
aiti-5290	1642	8	p.	p.	PROPN
aiti-5290	1642	9	f.	f.	PROPN
aiti-5290	1642	10	pai	pai	PROPN
aiti-5290	1642	11	,	,	PUNCT
aiti-5290	1642	12	“	"	PUNCT
aiti-5290	1642	13	nonlinear	nonlinear	ADJ
aiti-5290	1642	14	flexural	flexural	ADJ
aiti-5290	1642	15	-	-	PUNCT
aiti-5290	1642	16	flexural	flexural	ADJ
aiti-5290	1642	17	-	-	PUNCT
aiti-5290	1642	18	torsional	torsional	NOUN
aiti-5290	1642	19	dynamics	dynamic	NOUN
aiti-5290	1642	20	of	of	ADP
aiti-5290	1642	21	metallic	metallic	ADJ
aiti-5290	1642	22	and	and	CCONJ
aiti-5290	1642	23	composite	composite	ADJ
aiti-5290	1642	24	beams	beam	NOUN
aiti-5290	1642	25	,	,	PUNCT
aiti-5290	1642	26	”	"	PUNCT
aiti-5290	1642	27	ph.d	ph.d	PROPN
aiti-5290	1642	28	.	.	PUNCT
aiti-5290	1643	1	dissertation	dissertation	NOUN
aiti-5290	1643	2	,	,	PUNCT
aiti-5290	1643	3	department	department	NOUN
aiti-5290	1643	4	of	of	ADP
aiti-5290	1643	5	engineering	engineering	NOUN
aiti-5290	1643	6	science	science	NOUN
aiti-5290	1643	7	and	and	CCONJ
aiti-5290	1643	8	mechanics	mechanic	NOUN
aiti-5290	1643	9	,	,	PUNCT
aiti-5290	1643	10	virginia	virginia	PROPN
aiti-5290	1643	11	polytechnic	polytechnic	PROPN
aiti-5290	1643	12	institute	institute	PROPN
aiti-5290	1643	13	and	and	CCONJ
aiti-5290	1643	14	state	state	PROPN
aiti-5290	1643	15	university	university	NOUN
aiti-5290	1643	16	,	,	PUNCT
aiti-5290	1643	17	1990	1990	NUM
aiti-5290	1643	18	.	.	PUNCT
aiti-5290	1644	1	[	[	X
aiti-5290	1644	2	8	8	NUM
aiti-5290	1644	3	]	]	PUNCT
aiti-5290	1644	4	s.	s.	PROPN
aiti-5290	1644	5	stoykov	stoykov	PROPN
aiti-5290	1644	6	and	and	CCONJ
aiti-5290	1644	7	p.	p.	PROPN
aiti-5290	1644	8	ribeiro	ribeiro	PROPN
aiti-5290	1644	9	,	,	PUNCT
aiti-5290	1644	10	“	"	PUNCT
aiti-5290	1644	11	stability	stability	NOUN
aiti-5290	1644	12	of	of	ADP
aiti-5290	1644	13	nonlinear	nonlinear	ADJ
aiti-5290	1644	14	periodic	periodic	ADJ
aiti-5290	1644	15	vibrations	vibration	NOUN
aiti-5290	1644	16	of	of	ADP
aiti-5290	1644	17	3d	3d	NUM
aiti-5290	1644	18	beams	beam	NOUN
aiti-5290	1644	19	,	,	PUNCT
aiti-5290	1644	20	”	"	PUNCT
aiti-5290	1644	21	nonlinear	nonlinear	ADJ
aiti-5290	1644	22	dynamics	dynamic	NOUN
aiti-5290	1644	23	,	,	PUNCT
aiti-5290	1644	24	vol	vol	NOUN
aiti-5290	1644	25	.	.	PROPN
aiti-5290	1645	1	66	66	NUM
aiti-5290	1645	2	,	,	PUNCT
aiti-5290	1645	3	no	no	INTJ
aiti-5290	1645	4	.	.	NOUN
aiti-5290	1645	5	3	3	NUM
aiti-5290	1645	6	,	,	PUNCT
aiti-5290	1645	7	pp	pp	ADJ
aiti-5290	1645	8	.	.	PUNCT
aiti-5290	1646	1	335	335	NUM
aiti-5290	1646	2	,	,	PUNCT
aiti-5290	1646	3	august	august	PROPN
aiti-5290	1646	4	2011	2011	NUM
aiti-5290	1646	5	.	.	PUNCT
aiti-5290	1647	1	[	[	X
aiti-5290	1647	2	9	9	NUM
aiti-5290	1647	3	]	]	PUNCT
aiti-5290	1647	4	w.	w.	PROPN
aiti-5290	1647	5	t.	t.	PROPN
aiti-5290	1647	6	van	van	PROPN
aiti-5290	1647	7	horssen	horssen	PROPN
aiti-5290	1647	8	and	and	CCONJ
aiti-5290	1647	9	g.	g.	PROPN
aiti-5290	1647	10	j.	j.	PROPN
aiti-5290	1647	11	boertjens	boertjens	PROPN
aiti-5290	1647	12	,	,	PUNCT
aiti-5290	1647	13	“	"	PUNCT
aiti-5290	1647	14	on	on	ADP
aiti-5290	1647	15	mode	mode	NOUN
aiti-5290	1647	16	interactions	interaction	NOUN
aiti-5290	1647	17	for	for	ADP
aiti-5290	1647	18	a	a	DET
aiti-5290	1647	19	weakly	weakly	ADJ
aiti-5290	1647	20	nonlinear	nonlinear	ADJ
aiti-5290	1647	21	beam	beam	NOUN
aiti-5290	1647	22	equation	equation	NOUN
aiti-5290	1647	23	,	,	PUNCT
aiti-5290	1647	24	”	"	PUNCT
aiti-5290	1647	25	nonlinear	nonlinear	ADJ
aiti-5290	1647	26	dynamics	dynamic	NOUN
aiti-5290	1647	27	,	,	PUNCT
aiti-5290	1647	28	vol	vol	NOUN
aiti-5290	1647	29	.	.	PROPN
aiti-5290	1647	30	17	17	NUM
aiti-5290	1647	31	,	,	PUNCT
aiti-5290	1647	32	no	no	INTJ
aiti-5290	1647	33	.	.	NOUN
aiti-5290	1647	34	1	1	NUM
aiti-5290	1647	35	,	,	PUNCT
aiti-5290	1647	36	pp	pp	ADJ
aiti-5290	1647	37	.	.	PUNCT
aiti-5290	1648	1	23	23	NUM
aiti-5290	1648	2	-	-	SYM
aiti-5290	1648	3	40	40	NUM
aiti-5290	1648	4	,	,	PUNCT
aiti-5290	1648	5	september	september	PROPN
aiti-5290	1648	6	1998	1998	NUM
aiti-5290	1648	7	.	.	PUNCT
aiti-5290	1649	1	[	[	X
aiti-5290	1649	2	10	10	NUM
aiti-5290	1649	3	]	]	X
aiti-5290	1649	4	w.	w.	PROPN
aiti-5290	1649	5	t.	t.	PROPN
aiti-5290	1649	6	van	van	PROPN
aiti-5290	1649	7	horssen	horssen	PROPN
aiti-5290	1649	8	and	and	CCONJ
aiti-5290	1649	9	g.	g.	PROPN
aiti-5290	1649	10	j.	j.	PROPN
aiti-5290	1649	11	boertjens	boertjens	PROPN
aiti-5290	1649	12	,	,	PUNCT
aiti-5290	1649	13	“	"	PUNCT
aiti-5290	1649	14	an	an	DET
aiti-5290	1649	15	asymptotic	asymptotic	ADJ
aiti-5290	1649	16	theory	theory	NOUN
aiti-5290	1649	17	for	for	ADP
aiti-5290	1649	18	a	a	DET
aiti-5290	1649	19	weakly	weakly	ADJ
aiti-5290	1649	20	nonlinear	nonlinear	ADJ
aiti-5290	1649	21	beam	beam	NOUN
aiti-5290	1649	22	equation	equation	NOUN
aiti-5290	1649	23	with	with	ADP
aiti-5290	1649	24	a	a	DET
aiti-5290	1649	25	quadratic	quadratic	ADJ
aiti-5290	1649	26	perturbation	perturbation	NOUN
aiti-5290	1649	27	,	,	PUNCT
aiti-5290	1649	28	”	"	PUNCT
aiti-5290	1649	29	siam	siam	ADJ
aiti-5290	1649	30	journal	journal	NOUN
aiti-5290	1649	31	on	on	ADP
aiti-5290	1649	32	applied	applied	ADJ
aiti-5290	1649	33	mathematics	mathematic	NOUN
aiti-5290	1649	34	,	,	PUNCT
aiti-5290	1649	35	vol	vol	NOUN
aiti-5290	1649	36	.	.	PROPN
aiti-5290	1649	37	60	60	NUM
aiti-5290	1649	38	,	,	PUNCT
aiti-5290	1649	39	no	no	INTJ
aiti-5290	1649	40	.	.	NOUN
aiti-5290	1649	41	2	2	NUM
aiti-5290	1649	42	,	,	PUNCT
aiti-5290	1649	43	pp	pp	ADJ
aiti-5290	1649	44	.	.	PUNCT
aiti-5290	1650	1	602	602	NUM
aiti-5290	1650	2	-	-	SYM
aiti-5290	1650	3	632	632	NUM
aiti-5290	1650	4	,	,	PUNCT
aiti-5290	1650	5	2000	2000	NUM
aiti-5290	1650	6	.	.	PUNCT
aiti-5290	1651	1	[	[	X
aiti-5290	1651	2	11	11	NUM
aiti-5290	1651	3	]	]	X
aiti-5290	1651	4	y.	y.	PROPN
aiti-5290	1651	5	r.	r.	PROPN
aiti-5290	1651	6	wang	wang	PROPN
aiti-5290	1651	7	,	,	PUNCT
aiti-5290	1651	8	c.	c.	PROPN
aiti-5290	1651	9	k.	k.	PROPN
aiti-5290	1651	10	feng	feng	PROPN
aiti-5290	1651	11	,	,	PUNCT
aiti-5290	1651	12	and	and	CCONJ
aiti-5290	1651	13	s.	s.	PROPN
aiti-5290	1651	14	y.	y.	PROPN
aiti-5290	1651	15	chen	chen	PROPN
aiti-5290	1651	16	,	,	PUNCT
aiti-5290	1651	17	“	"	PUNCT
aiti-5290	1651	18	damping	damp	VERB
aiti-5290	1651	19	effects	effect	NOUN
aiti-5290	1651	20	of	of	ADP
aiti-5290	1651	21	linear	linear	ADJ
aiti-5290	1651	22	and	and	CCONJ
aiti-5290	1651	23	nonlinear	nonlinear	ADJ
aiti-5290	1651	24	tuned	tune	VERB
aiti-5290	1651	25	mass	mass	ADJ
aiti-5290	1651	26	dampers	damper	NOUN
aiti-5290	1651	27	on	on	ADP
aiti-5290	1651	28	nonlinear	nonlinear	ADJ
aiti-5290	1651	29	hinged	hinge	VERB
aiti-5290	1651	30	-	-	PUNCT
aiti-5290	1651	31	hinged	hinge	VERB
aiti-5290	1651	32	beam	beam	NOUN
aiti-5290	1651	33	,	,	PUNCT
aiti-5290	1651	34	”	"	PUNCT
aiti-5290	1651	35	journal	journal	NOUN
aiti-5290	1651	36	of	of	ADP
aiti-5290	1651	37	sound	sound	NOUN
aiti-5290	1651	38	and	and	CCONJ
aiti-5290	1651	39	vibration	vibration	NOUN
aiti-5290	1651	40	,	,	PUNCT
aiti-5290	1651	41	vol	vol	NOUN
aiti-5290	1651	42	.	.	PROPN
aiti-5290	1651	43	430	430	NUM
aiti-5290	1651	44	,	,	PUNCT
aiti-5290	1651	45	pp	pp	ADJ
aiti-5290	1651	46	.	.	PUNCT
aiti-5290	1652	1	150	150	NUM
aiti-5290	1652	2	-	-	SYM
aiti-5290	1652	3	173	173	NUM
aiti-5290	1652	4	,	,	PUNCT
aiti-5290	1652	5	2018	2018	NUM
aiti-5290	1652	6	.	.	PUNCT
aiti-5290	1653	1	[	[	X
aiti-5290	1653	2	12	12	NUM
aiti-5290	1653	3	]	]	X
aiti-5290	1653	4	y.	y.	PROPN
aiti-5290	1653	5	r.	r.	PROPN
aiti-5290	1653	6	wang	wang	PROPN
aiti-5290	1653	7	and	and	CCONJ
aiti-5290	1653	8	w.	w.	PROPN
aiti-5290	1653	9	c.	c.	PROPN
aiti-5290	1653	10	hsiao	hsiao	PROPN
aiti-5290	1653	11	,	,	PUNCT
aiti-5290	1653	12	“	"	PUNCT
aiti-5290	1653	13	vibration	vibration	NOUN
aiti-5290	1653	14	reduction	reduction	NOUN
aiti-5290	1653	15	of	of	ADP
aiti-5290	1653	16	damping	damp	VERB
aiti-5290	1653	17	rings	ring	NOUN
aiti-5290	1653	18	on	on	ADP
aiti-5290	1653	19	3d	3d	NUM
aiti-5290	1653	20	nonlinear	nonlinear	ADJ
aiti-5290	1653	21	multi	multi	ADJ
aiti-5290	1653	22	-	-	ADJ
aiti-5290	1653	23	loaded	load	VERB
aiti-5290	1653	24	slender	slender	ADJ
aiti-5290	1653	25	beams	beam	NOUN
aiti-5290	1653	26	,	,	PUNCT
aiti-5290	1653	27	”	"	PUNCT
aiti-5290	1653	28	journal	journal	NOUN
aiti-5290	1653	29	of	of	ADP
aiti-5290	1653	30	chinese	chinese	ADJ
aiti-5290	1653	31	society	society	NOUN
aiti-5290	1653	32	of	of	ADP
aiti-5290	1653	33	mechanical	mechanical	ADJ
aiti-5290	1653	34	engineers	engineer	NOUN
aiti-5290	1653	35	,	,	PUNCT
aiti-5290	1653	36	vol	vol	NOUN
aiti-5290	1653	37	.	.	PROPN
aiti-5290	1653	38	40	40	NUM
aiti-5290	1653	39	,	,	PUNCT
aiti-5290	1653	40	no.4	no.4	PROPN
aiti-5290	1653	41	,	,	PUNCT
aiti-5290	1653	42	pp	pp	X
aiti-5290	1653	43	.	.	PUNCT
aiti-5290	1653	44	327	327	NUM
aiti-5290	1653	45	-	-	SYM
aiti-5290	1653	46	339	339	NUM
aiti-5290	1653	47	,	,	PUNCT
aiti-5290	1653	48	june	june	PROPN
aiti-5290	1653	49	2019	2019	NUM
aiti-5290	1653	50	.	.	PUNCT
aiti-5290	1654	1	[	[	X
aiti-5290	1654	2	13	13	NUM
aiti-5290	1654	3	]	]	PUNCT
aiti-5290	1654	4	a.	a.	NOUN
aiti-5290	1654	5	tekin	tekin	PROPN
aiti-5290	1654	6	,	,	PUNCT
aiti-5290	1654	7	e.	e.	PROPN
aiti-5290	1654	8	özkaya	özkaya	PROPN
aiti-5290	1654	9	,	,	PUNCT
aiti-5290	1654	10	and	and	CCONJ
aiti-5290	1654	11	s.	s.	PROPN
aiti-5290	1654	12	m.	m.	PROPN
aiti-5290	1654	13	bağdatlı	bağdatlı	PROPN
aiti-5290	1654	14	,	,	PUNCT
aiti-5290	1654	15	“	"	PUNCT
aiti-5290	1654	16	three	three	NUM
aiti-5290	1654	17	-	-	PUNCT
aiti-5290	1654	18	to	to	ADP
aiti-5290	1654	19	-	-	PUNCT
aiti-5290	1654	20	one	one	NUM
aiti-5290	1654	21	internal	internal	ADJ
aiti-5290	1654	22	resonance	resonance	NOUN
aiti-5290	1654	23	in	in	ADP
aiti-5290	1654	24	multiple	multiple	ADJ
aiti-5290	1654	25	stepped	step	VERB
aiti-5290	1654	26	beam	beam	NOUN
aiti-5290	1654	27	systems	system	NOUN
aiti-5290	1654	28	,	,	PUNCT
aiti-5290	1654	29	”	"	PUNCT
aiti-5290	1654	30	applied	apply	VERB
aiti-5290	1654	31	mathematics	mathematic	NOUN
aiti-5290	1654	32	and	and	CCONJ
aiti-5290	1654	33	mechanics	mechanic	NOUN
aiti-5290	1654	34	,	,	PUNCT
aiti-5290	1654	35	vol	vol	NOUN
aiti-5290	1654	36	.	.	PROPN
aiti-5290	1654	37	30	30	NUM
aiti-5290	1654	38	,	,	PUNCT
aiti-5290	1654	39	no	no	INTJ
aiti-5290	1654	40	.	.	NOUN
aiti-5290	1654	41	9	9	NUM
aiti-5290	1654	42	,	,	PUNCT
aiti-5290	1654	43	pp	pp	ADJ
aiti-5290	1654	44	.	.	PUNCT
aiti-5290	1655	1	1131	1131	NUM
aiti-5290	1655	2	-	-	SYM
aiti-5290	1655	3	1142	1142	NUM
aiti-5290	1655	4	,	,	PUNCT
aiti-5290	1655	5	september	september	PROPN
aiti-5290	1655	6	2009	2009	NUM
aiti-5290	1655	7	.	.	PUNCT
aiti-5290	1656	1	[	[	X
aiti-5290	1656	2	14	14	NUM
aiti-5290	1656	3	]	]	PUNCT
aiti-5290	1656	4	a.	a.	NOUN
aiti-5290	1656	5	h.	h.	PROPN
aiti-5290	1656	6	nayfeh	nayfeh	PROPN
aiti-5290	1656	7	and	and	CCONJ
aiti-5290	1656	8	p.	p.	PROPN
aiti-5290	1656	9	f.	f.	PROPN
aiti-5290	1656	10	pai	pai	PROPN
aiti-5290	1656	11	,	,	PUNCT
aiti-5290	1656	12	linear	linear	ADJ
aiti-5290	1656	13	and	and	CCONJ
aiti-5290	1656	14	nonlinear	nonlinear	ADJ
aiti-5290	1656	15	structural	structural	ADJ
aiti-5290	1656	16	mechanics	mechanic	NOUN
aiti-5290	1656	17	,	,	PUNCT
aiti-5290	1656	18	new	new	PROPN
aiti-5290	1656	19	york	york	PROPN
aiti-5290	1656	20	:	:	PUNCT
aiti-5290	1657	1	john	john	PROPN
aiti-5290	1657	2	wiley	wiley	PROPN
aiti-5290	1657	3	&	&	CCONJ
aiti-5290	1657	4	sons	son	NOUN
aiti-5290	1657	5	,	,	PUNCT
aiti-5290	1657	6	2004	2004	NUM
aiti-5290	1657	7	.	.	PUNCT
aiti-5290	1658	1	[	[	X
aiti-5290	1658	2	15	15	NUM
aiti-5290	1658	3	]	]	PUNCT
aiti-5290	1658	4	z.	z.	PROPN
aiti-5290	1658	5	ji	ji	PROPN
aiti-5290	1658	6	and	and	CCONJ
aiti-5290	1658	7	j.	j.	PROPN
aiti-5290	1658	8	w.	w.	PROPN
aiti-5290	1658	9	zu	zu	PROPN
aiti-5290	1658	10	,	,	PUNCT
aiti-5290	1658	11	“	"	PUNCT
aiti-5290	1658	12	method	method	NOUN
aiti-5290	1658	13	of	of	ADP
aiti-5290	1658	14	multiple	multiple	ADJ
aiti-5290	1658	15	scales	scale	NOUN
aiti-5290	1658	16	for	for	ADP
aiti-5290	1658	17	vibration	vibration	NOUN
aiti-5290	1658	18	analysis	analysis	NOUN
aiti-5290	1658	19	of	of	ADP
aiti-5290	1658	20	rotor	rotor	NOUN
aiti-5290	1658	21	-	-	PUNCT
aiti-5290	1658	22	shaft	shaft	NOUN
aiti-5290	1658	23	systems	system	NOUN
aiti-5290	1658	24	with	with	ADP
aiti-5290	1658	25	non	non	ADJ
aiti-5290	1658	26	-	-	ADJ
aiti-5290	1658	27	linear	linear	ADJ
aiti-5290	1658	28	bearing	bear	VERB
aiti-5290	1658	29	pedestal	pedestal	ADJ
aiti-5290	1658	30	model	model	NOUN
aiti-5290	1658	31	,	,	PUNCT
aiti-5290	1658	32	”	"	PUNCT
aiti-5290	1658	33	journal	journal	NOUN
aiti-5290	1658	34	of	of	ADP
aiti-5290	1658	35	sound	sound	NOUN
aiti-5290	1658	36	and	and	CCONJ
aiti-5290	1658	37	vibration	vibration	NOUN
aiti-5290	1658	38	,	,	PUNCT
aiti-5290	1658	39	vol	vol	NOUN
aiti-5290	1658	40	.	.	PROPN
aiti-5290	1658	41	218	218	NUM
aiti-5290	1658	42	,	,	PUNCT
aiti-5290	1658	43	no	no	INTJ
aiti-5290	1658	44	.	.	NOUN
aiti-5290	1658	45	2	2	NUM
aiti-5290	1658	46	,	,	PUNCT
aiti-5290	1658	47	pp	pp	ADJ
aiti-5290	1658	48	.	.	PUNCT
aiti-5290	1659	1	293	293	NUM
aiti-5290	1659	2	-	-	SYM
aiti-5290	1659	3	305	305	NUM
aiti-5290	1659	4	,	,	PUNCT
aiti-5290	1659	5	november	november	PROPN
aiti-5290	1659	6	1998	1998	NUM
aiti-5290	1659	7	.	.	PUNCT
aiti-5290	1660	1	[	[	X
aiti-5290	1660	2	16	16	NUM
aiti-5290	1660	3	]	]	PUNCT
aiti-5290	1660	4	a.	a.	NOUN
aiti-5290	1660	5	h.	h.	PROPN
aiti-5290	1660	6	nayfeh	nayfeh	PROPN
aiti-5290	1660	7	and	and	CCONJ
aiti-5290	1660	8	s.	s.	PROPN
aiti-5290	1660	9	a.	a.	PROPN
aiti-5290	1660	10	nayfeh	nayfeh	PROPN
aiti-5290	1660	11	,	,	PUNCT
aiti-5290	1660	12	“	"	PUNCT
aiti-5290	1660	13	on	on	ADP
aiti-5290	1660	14	nonlinear	nonlinear	ADJ
aiti-5290	1660	15	modes	mode	NOUN
aiti-5290	1660	16	of	of	ADP
aiti-5290	1660	17	continuous	continuous	ADJ
aiti-5290	1660	18	systems	system	NOUN
aiti-5290	1660	19	,	,	PUNCT
aiti-5290	1660	20	”	"	PUNCT
aiti-5290	1660	21	journal	journal	NOUN
aiti-5290	1660	22	of	of	ADP
aiti-5290	1660	23	vibration	vibration	NOUN
aiti-5290	1660	24	and	and	CCONJ
aiti-5290	1660	25	acoustics	acoustic	NOUN
aiti-5290	1660	26	,	,	PUNCT
aiti-5290	1660	27	vol	vol	NOUN
aiti-5290	1660	28	.	.	PROPN
aiti-5290	1660	29	116	116	NUM
aiti-5290	1660	30	,	,	PUNCT
aiti-5290	1660	31	no	no	INTJ
aiti-5290	1660	32	.	.	NOUN
aiti-5290	1660	33	1	1	NUM
aiti-5290	1660	34	,	,	PUNCT
aiti-5290	1660	35	pp	pp	ADJ
aiti-5290	1660	36	.	.	PUNCT
aiti-5290	1661	1	129	129	NUM
aiti-5290	1661	2	-	-	SYM
aiti-5290	1661	3	136	136	NUM
aiti-5290	1661	4	,	,	PUNCT
aiti-5290	1661	5	january	january	PROPN
aiti-5290	1661	6	1994	1994	NUM
aiti-5290	1661	7	.	.	PUNCT
aiti-5290	1662	1	[	[	X
aiti-5290	1662	2	17	17	NUM
aiti-5290	1662	3	]	]	X
aiti-5290	1662	4	q.	q.	PROPN
aiti-5290	1662	5	mao	mao	PROPN
aiti-5290	1662	6	,	,	PUNCT
aiti-5290	1662	7	“	"	PUNCT
aiti-5290	1662	8	free	free	ADJ
aiti-5290	1662	9	vibration	vibration	NOUN
aiti-5290	1662	10	analysis	analysis	NOUN
aiti-5290	1662	11	of	of	ADP
aiti-5290	1662	12	multiple	multiple	ADJ
aiti-5290	1662	13	-	-	PUNCT
aiti-5290	1662	14	stepped	step	VERB
aiti-5290	1662	15	beams	beam	NOUN
aiti-5290	1662	16	by	by	ADP
aiti-5290	1662	17	using	use	VERB
aiti-5290	1662	18	adomian	adomian	NOUN
aiti-5290	1662	19	decomposition	decomposition	NOUN
aiti-5290	1662	20	method	method	NOUN
aiti-5290	1662	21	,	,	PUNCT
aiti-5290	1662	22	”	"	PUNCT
aiti-5290	1662	23	mathematical	mathematical	ADJ
aiti-5290	1662	24	and	and	CCONJ
aiti-5290	1662	25	computer	computer	NOUN
aiti-5290	1662	26	modeling	modeling	NOUN
aiti-5290	1662	27	,	,	PUNCT
aiti-5290	1662	28	vol	vol	NOUN
aiti-5290	1662	29	.	.	PROPN
aiti-5290	1662	30	54	54	NUM
aiti-5290	1662	31	,	,	PUNCT
aiti-5290	1662	32	no.1	no.1	NOUN
aiti-5290	1662	33	-	-	SYM
aiti-5290	1662	34	2	2	NUM
aiti-5290	1662	35	,	,	PUNCT
aiti-5290	1662	36	pp	pp	ADJ
aiti-5290	1662	37	.	.	PUNCT
aiti-5290	1663	1	756	756	NUM
aiti-5290	1663	2	-	-	SYM
aiti-5290	1663	3	764	764	NUM
aiti-5290	1663	4	,	,	PUNCT
aiti-5290	1663	5	march	march	PROPN
aiti-5290	1663	6	2011	2011	NUM
aiti-5290	1663	7	.	.	PUNCT
aiti-5290	1664	1	[	[	X
aiti-5290	1664	2	18	18	NUM
aiti-5290	1664	3	]	]	X
aiti-5290	1664	4	d.	d.	PROPN
aiti-5290	1664	5	jeyakumar	jeyakumar	PROPN
aiti-5290	1664	6	,	,	PUNCT
aiti-5290	1664	7	k.	k.	PROPN
aiti-5290	1664	8	k.	k.	PROPN
aiti-5290	1664	9	blswas	blswas	PROPN
aiti-5290	1664	10	,	,	PUNCT
aiti-5290	1664	11	and	and	CCONJ
aiti-5290	1664	12	b.	b.	PROPN
aiti-5290	1664	13	nageswara	nageswara	PROPN
aiti-5290	1664	14	rao	rao	PROPN
aiti-5290	1664	15	,	,	PUNCT
aiti-5290	1664	16	“	"	PUNCT
aiti-5290	1664	17	stage	stage	NOUN
aiti-5290	1664	18	separation	separation	NOUN
aiti-5290	1664	19	dynamic	dynamic	ADJ
aiti-5290	1664	20	analysis	analysis	NOUN
aiti-5290	1664	21	of	of	ADP
aiti-5290	1664	22	upper	upper	ADJ
aiti-5290	1664	23	stage	stage	NOUN
aiti-5290	1664	24	of	of	ADP
aiti-5290	1664	25	a	a	DET
aiti-5290	1664	26	multistage	multistage	NOUN
aiti-5290	1664	27	launch	launch	NOUN
aiti-5290	1664	28	,	,	PUNCT
aiti-5290	1664	29	”	"	PUNCT
aiti-5290	1664	30	mathematical	mathematical	ADJ
aiti-5290	1664	31	and	and	CCONJ
aiti-5290	1664	32	computer	computer	NOUN
aiti-5290	1664	33	modeling	modeling	NOUN
aiti-5290	1664	34	,	,	PUNCT
aiti-5290	1664	35	vol	vol	NOUN
aiti-5290	1664	36	.	.	PROPN
aiti-5290	1664	37	41	41	NUM
aiti-5290	1664	38	,	,	PUNCT
aiti-5290	1664	39	no	no	INTJ
aiti-5290	1664	40	.	.	NOUN
aiti-5290	1664	41	8	8	NUM
aiti-5290	1664	42	-	-	SYM
aiti-5290	1664	43	9	9	NUM
aiti-5290	1664	44	,	,	PUNCT
aiti-5290	1664	45	pp	pp	ADJ
aiti-5290	1664	46	.	.	PUNCT
aiti-5290	1665	1	849	849	NUM
aiti-5290	1665	2	-	-	SYM
aiti-5290	1665	3	866	866	NUM
aiti-5290	1665	4	,	,	PUNCT
aiti-5290	1665	5	april	april	PROPN
aiti-5290	1665	6	-	-	PUNCT
aiti-5290	1665	7	may	may	PROPN
aiti-5290	1665	8	2005	2005	NUM
aiti-5290	1665	9	.	.	PUNCT
aiti-5290	1666	1	[	[	X
aiti-5290	1666	2	19	19	NUM
aiti-5290	1666	3	]	]	X
aiti-5290	1666	4	g.	g.	PROPN
aiti-5290	1666	5	srinivas	srinivas	PROPN
aiti-5290	1666	6	and	and	CCONJ
aiti-5290	1666	7	m.	m.	PROPN
aiti-5290	1666	8	v.	v.	PROPN
aiti-5290	1666	9	s.	s.	PROPN
aiti-5290	1666	10	prakash	prakash	PROPN
aiti-5290	1666	11	,	,	PUNCT
aiti-5290	1666	12	“	"	PUNCT
aiti-5290	1666	13	aerodynamics	aerodynamic	NOUN
aiti-5290	1666	14	and	and	CCONJ
aiti-5290	1666	15	flow	flow	NOUN
aiti-5290	1666	16	characterization	characterization	NOUN
aiti-5290	1666	17	of	of	ADP
aiti-5290	1666	18	multistage	multistage	NOUN
aiti-5290	1666	19	rockets	rocket	NOUN
aiti-5290	1666	20	,	,	PUNCT
aiti-5290	1666	21	”	"	PUNCT
aiti-5290	1666	22	iop	iop	PROPN
aiti-5290	1666	23	conference	conference	NOUN
aiti-5290	1666	24	series	series	PROPN
aiti-5290	1666	25	:	:	PUNCT
aiti-5290	1666	26	materials	material	NOUN
aiti-5290	1666	27	science	science	NOUN
aiti-5290	1666	28	and	and	CCONJ
aiti-5290	1666	29	engineering	engineering	NOUN
aiti-5290	1666	30	,	,	PUNCT
aiti-5290	1666	31	vol	vol	NOUN
aiti-5290	1666	32	.	.	PROPN
aiti-5290	1666	33	197	197	NUM
aiti-5290	1666	34	,	,	PUNCT
aiti-5290	1666	35	no	no	INTJ
aiti-5290	1666	36	.	.	NOUN
aiti-5290	1666	37	1	1	NUM
aiti-5290	1666	38	,	,	PUNCT
aiti-5290	1666	39	article	article	NOUN
aiti-5290	1666	40	number	number	NOUN
aiti-5290	1666	41	012077	012077	NUM
aiti-5290	1666	42	,	,	PUNCT
aiti-5290	1666	43	july	july	PROPN
aiti-5290	1666	44	2017	2017	NUM
aiti-5290	1666	45	.	.	PUNCT
aiti-5290	1667	1	[	[	X
aiti-5290	1667	2	20	20	NUM
aiti-5290	1667	3	]	]	X
aiti-5290	1667	4	w.	w.	PROPN
aiti-5290	1667	5	t.	t.	PROPN
aiti-5290	1667	6	van	van	PROPN
aiti-5290	1667	7	horssen	horssen	PROPN
aiti-5290	1667	8	,	,	PUNCT
aiti-5290	1667	9	“	"	PUNCT
aiti-5290	1667	10	an	an	DET
aiti-5290	1667	11	asymptotic	asymptotic	ADJ
aiti-5290	1667	12	theory	theory	NOUN
aiti-5290	1667	13	for	for	ADP
aiti-5290	1667	14	a	a	DET
aiti-5290	1667	15	class	class	NOUN
aiti-5290	1667	16	of	of	ADP
aiti-5290	1667	17	initial	initial	ADJ
aiti-5290	1667	18	-	-	PUNCT
aiti-5290	1667	19	boundary	boundary	NOUN
aiti-5290	1667	20	value	value	NOUN
aiti-5290	1667	21	problems	problem	NOUN
aiti-5290	1667	22	for	for	ADP
aiti-5290	1667	23	weakly	weakly	ADJ
aiti-5290	1667	24	nonlinear	nonlinear	ADJ
aiti-5290	1667	25	wave	wave	NOUN
aiti-5290	1667	26	equations	equation	NOUN
aiti-5290	1667	27	with	with	ADP
aiti-5290	1667	28	an	an	DET
aiti-5290	1667	29	application	application	NOUN
aiti-5290	1667	30	to	to	ADP
aiti-5290	1667	31	a	a	DET
aiti-5290	1667	32	model	model	NOUN
aiti-5290	1667	33	of	of	ADP
aiti-5290	1667	34	the	the	DET
aiti-5290	1667	35	galloping	gallop	VERB
aiti-5290	1667	36	oscillations	oscillation	NOUN
aiti-5290	1667	37	of	of	ADP
aiti-5290	1667	38	overhead	overhead	ADJ
aiti-5290	1667	39	transmission	transmission	NOUN
aiti-5290	1667	40	lines	line	NOUN
aiti-5290	1667	41	,	,	PUNCT
aiti-5290	1667	42	”	"	PUNCT
aiti-5290	1667	43	siam	siam	ADJ
aiti-5290	1667	44	journal	journal	NOUN
aiti-5290	1667	45	of	of	ADP
aiti-5290	1667	46	applied	apply	VERB
aiti-5290	1667	47	mathematics	mathematic	NOUN
aiti-5290	1667	48	,	,	PUNCT
aiti-5290	1667	49	vol	vol	NOUN
aiti-5290	1667	50	.	.	PROPN
aiti-5290	1667	51	48	48	NUM
aiti-5290	1667	52	,	,	PUNCT
aiti-5290	1667	53	no	no	INTJ
aiti-5290	1667	54	.	.	NOUN
aiti-5290	1667	55	6	6	NUM
aiti-5290	1667	56	,	,	PUNCT
aiti-5290	1667	57	pp	pp	ADJ
aiti-5290	1667	58	.	.	PUNCT
aiti-5290	1668	1	1227	1227	NUM
aiti-5290	1668	2	-	-	SYM
aiti-5290	1668	3	1243	1243	NUM
aiti-5290	1668	4	,	,	PUNCT
aiti-5290	1668	5	1988	1988	NUM
aiti-5290	1668	6	.	.	PUNCT
aiti-5290	1669	1	[	[	X
aiti-5290	1669	2	21	21	NUM
aiti-5290	1669	3	]	]	PUNCT
aiti-5290	1669	4	“	"	PUNCT
aiti-5290	1669	5	wayback	wayback	NOUN
aiti-5290	1669	6	machine	machine	NOUN
aiti-5290	1669	7	,	,	PUNCT
aiti-5290	1669	8	”	"	PUNCT
aiti-5290	1669	9	https://web.archive.org/web/20150824115334/.	https://web.archive.org/web/20150824115334/.	NOUN
aiti-5290	1669	10	[	[	X
aiti-5290	1669	11	22	22	NUM
aiti-5290	1669	12	]	]	PUNCT
aiti-5290	1669	13	“	"	PUNCT
aiti-5290	1669	14	european	european	ADJ
aiti-5290	1669	15	space	space	NOUN
aiti-5290	1669	16	agency	agency	NOUN
aiti-5290	1669	17	,	,	PUNCT
aiti-5290	1669	18	”	"	PUNCT
aiti-5290	1669	19	http://wsn.spaceflight.esa.int/docs/eug2lgpr3/eug2lgpr3-6-soundingrockets.pdf/.	http://wsn.spaceflight.esa.int/docs/eug2lgpr3/eug2lgpr3-6-soundingrockets.pdf/.	X
aiti-5290	1669	20	[	[	X
aiti-5290	1669	21	23	23	NUM
aiti-5290	1669	22	]	]	PUNCT
aiti-5290	1669	23	k.	k.	PROPN
aiti-5290	1669	24	torabi	torabi	PROPN
aiti-5290	1669	25	,	,	PUNCT
aiti-5290	1669	26	h.	h.	PROPN
aiti-5290	1669	27	afshari	afshari	PROPN
aiti-5290	1669	28	,	,	PUNCT
aiti-5290	1669	29	and	and	CCONJ
aiti-5290	1669	30	h.	h.	PROPN
aiti-5290	1669	31	najafi	najafi	PROPN
aiti-5290	1669	32	,	,	PUNCT
aiti-5290	1669	33	“	"	PUNCT
aiti-5290	1669	34	vibration	vibration	NOUN
aiti-5290	1669	35	analysis	analysis	NOUN
aiti-5290	1669	36	of	of	ADP
aiti-5290	1669	37	multi	multi	ADJ
aiti-5290	1669	38	-	-	ADJ
aiti-5290	1669	39	step	step	ADJ
aiti-5290	1669	40	bernoulli	bernoulli	NOUN
aiti-5290	1669	41	-	-	PUNCT
aiti-5290	1669	42	euler	euler	NOUN
aiti-5290	1669	43	and	and	CCONJ
aiti-5290	1669	44	timoshenko	timoshenko	NOUN
aiti-5290	1669	45	beams	beam	NOUN
aiti-5290	1669	46	carrying	carry	VERB
aiti-5290	1669	47	concentrated	concentrate	VERB
aiti-5290	1669	48	masses	masse	NOUN
aiti-5290	1669	49	,	,	PUNCT
aiti-5290	1669	50	”	"	PUNCT
aiti-5290	1669	51	journal	journal	NOUN
aiti-5290	1669	52	of	of	ADP
aiti-5290	1669	53	solid	solid	ADJ
aiti-5290	1669	54	mechanics	mechanic	NOUN
aiti-5290	1669	55	,	,	PUNCT
aiti-5290	1669	56	vol	vol	NOUN
aiti-5290	1669	57	.	.	PROPN
aiti-5290	1669	58	5	5	NUM
aiti-5290	1669	59	,	,	PUNCT
aiti-5290	1669	60	no	no	INTJ
aiti-5290	1669	61	.	.	NOUN
aiti-5290	1669	62	4	4	NUM
aiti-5290	1669	63	,	,	PUNCT
aiti-5290	1669	64	pp	pp	ADJ
aiti-5290	1669	65	.	.	PUNCT
aiti-5290	1669	66	336	336	NUM
aiti-5290	1669	67	-	-	SYM
aiti-5290	1669	68	349	349	NUM
aiti-5290	1669	69	,	,	PUNCT
aiti-5290	1669	70	2013	2013	NUM
aiti-5290	1669	71	.	.	PUNCT
aiti-5290	1670	1	copyright	copyright	NOUN
aiti-5290	1670	2	©	©	PROPN
aiti-5290	1670	3	by	by	ADP
aiti-5290	1670	4	the	the	DET
aiti-5290	1670	5	authors	author	NOUN
aiti-5290	1670	6	.	.	PUNCT
aiti-5290	1671	1	licensee	licensee	PROPN
aiti-5290	1671	2	taeti	taeti	PROPN
aiti-5290	1671	3	,	,	PUNCT
aiti-5290	1671	4	taiwan	taiwan	PROPN
aiti-5290	1671	5	.	.	PUNCT
aiti-5290	1672	1	this	this	DET
aiti-5290	1672	2	article	article	NOUN
aiti-5290	1672	3	is	be	AUX
aiti-5290	1672	4	an	an	DET
aiti-5290	1672	5	open	open	ADJ
aiti-5290	1672	6	access	access	NOUN
aiti-5290	1672	7	article	article	NOUN
aiti-5290	1672	8	distributed	distribute	VERB
aiti-5290	1672	9	under	under	ADP
aiti-5290	1672	10	the	the	DET
aiti-5290	1672	11	terms	term	NOUN
aiti-5290	1672	12	and	and	CCONJ
aiti-5290	1672	13	conditions	condition	NOUN
aiti-5290	1672	14	of	of	ADP
aiti-5290	1672	15	the	the	DET
aiti-5290	1672	16	creative	creative	ADJ
aiti-5290	1672	17	commons	common	NOUN
aiti-5290	1672	18	attribution	attribution	NOUN
aiti-5290	1672	19	(	(	PUNCT
aiti-5290	1672	20	cc	cc	NOUN
aiti-5290	1672	21	by	by	ADP
aiti-5290	1672	22	-	-	PUNCT
aiti-5290	1672	23	nc	nc	NOUN
aiti-5290	1672	24	)	)	PUNCT
aiti-5290	1672	25	license	license	NOUN
aiti-5290	1672	26	(	(	PUNCT
aiti-5290	1672	27	https://creativecommons.org/licenses/by-nc/4.0/	https://creativecommons.org/licenses/by-nc/4.0/	NOUN
aiti-5290	1672	28	)	)	PUNCT
aiti-5290	1672	29	.	.	PUNCT