id	sid	tid	token	lemma	pos
cana-4511	1	1	communications	communication	NOUN
cana-4511	1	2	on	on	ADP
cana-4511	1	3	applied	apply	VERB
cana-4511	1	4	nonlinear	nonlinear	ADJ
cana-4511	1	5	analysis	analysis	NOUN
cana-4511	1	6	issn	issn	NOUN
cana-4511	1	7	:	:	PUNCT
cana-4511	1	8	1074	1074	NUM
cana-4511	1	9	-	-	PUNCT
cana-4511	1	10	133x	133x	NUM
cana-4511	1	11	vol	vol	NOUN
cana-4511	1	12	32	32	NUM
cana-4511	1	13	no	no	NOUN
cana-4511	1	14	.	.	PUNCT
cana-4511	2	1	9s	9s	NUM
cana-4511	2	2	(	(	PUNCT
cana-4511	2	3	2025	2025	NUM
cana-4511	2	4	)	)	PUNCT
cana-4511	2	5	2258	2258	NUM
cana-4511	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4511	3	1	static	static	ADJ
cana-4511	3	2	response	response	NOUN
cana-4511	3	3	of	of	ADP
cana-4511	3	4	rail	rail	NOUN
cana-4511	3	5	track	track	NOUN
cana-4511	3	6	supported	support	VERB
cana-4511	3	7	by	by	ADP
cana-4511	3	8	linear	linear	PROPN
cana-4511	3	9	and	and	CCONJ
cana-4511	3	10	non	non	ADJ
cana-4511	3	11	-	-	ADJ
cana-4511	3	12	linear	linear	ADJ
cana-4511	3	13	stiffness	stiffness	NOUN
cana-4511	3	14	sandeep	sandeep	PROPN
cana-4511	3	15	valji	valji	PROPN
cana-4511	3	16	shinde1	shinde1	PROPN
cana-4511	3	17	,	,	PUNCT
cana-4511	3	18	dr	dr	PROPN
cana-4511	3	19	.	.	PROPN
cana-4511	3	20	dhananjay	dhananjay	PROPN
cana-4511	3	21	khankal2	khankal2	PROPN
cana-4511	3	22	,	,	PUNCT
cana-4511	3	23	prof	prof	PROPN
cana-4511	3	24	.	.	PUNCT
cana-4511	4	1	s.	s.	PROPN
cana-4511	4	2	k.	k.	PROPN
cana-4511	4	3	agarwal3	agarwal3	PROPN
cana-4511	5	1	1	1	X
cana-4511	5	2	.	.	X
cana-4511	5	3	pursuing	pursue	VERB
cana-4511	5	4	ph.d	ph.d	PROPN
cana-4511	5	5	.	.	PROPN
cana-4511	5	6	,	,	PUNCT
cana-4511	5	7	sinhgad	sinhgad	VERB
cana-4511	5	8	college	college	NOUN
cana-4511	5	9	of	of	ADP
cana-4511	5	10	engineering	engineering	PROPN
cana-4511	5	11	,	,	PUNCT
cana-4511	5	12	vadgaon	vadgaon	X
cana-4511	5	13	(	(	PUNCT
cana-4511	5	14	bk	bk	PROPN
cana-4511	5	15	)	)	PUNCT
cana-4511	5	16	,	,	PUNCT
cana-4511	5	17	pune	pune	NOUN
cana-4511	5	18	,	,	PUNCT
cana-4511	5	19	sandy106@rediff.com	sandy106@rediff.com	PROPN
cana-4511	5	20	2	2	X
cana-4511	6	1	.	.	X
cana-4511	6	2	professor	professor	NOUN
cana-4511	6	3	,	,	PUNCT
cana-4511	6	4	production	production	NOUN
cana-4511	6	5	dept	dept	NOUN
cana-4511	6	6	,	,	PUNCT
cana-4511	6	7	sinhgad	sinhgad	VERB
cana-4511	6	8	college	college	NOUN
cana-4511	6	9	of	of	ADP
cana-4511	6	10	engineering	engineering	NOUN
cana-4511	6	11	,	,	PUNCT
cana-4511	6	12	pune	pune	PROPN
cana-4511	6	13	,	,	PUNCT
cana-4511	6	14	maharashtra	maharashtra	PROPN
cana-4511	6	15	,	,	PUNCT
cana-4511	6	16	india	india	PROPN
cana-4511	6	17	3	3	NUM
cana-4511	6	18	.	.	PUNCT
cana-4511	7	1	professor	professor	NOUN
cana-4511	7	2	,	,	PUNCT
cana-4511	7	3	bridge	bridge	NOUN
cana-4511	7	4	engineering	engineering	PROPN
cana-4511	7	5	department	department	PROPN
cana-4511	7	6	,	,	PUNCT
cana-4511	7	7	iricen	iricen	NOUN
cana-4511	7	8	,	,	PUNCT
cana-4511	7	9	pune	pune	NOUN
cana-4511	7	10	,	,	PUNCT
cana-4511	7	11	maharashtra	maharashtra	PROPN
cana-4511	7	12	,	,	PUNCT
cana-4511	7	13	india	india	PROPN
cana-4511	7	14	article	article	PROPN
cana-4511	7	15	history	history	NOUN
cana-4511	7	16	:	:	PUNCT
cana-4511	7	17	received	receive	VERB
cana-4511	7	18	:	:	PUNCT
cana-4511	7	19	12	12	NUM
cana-4511	7	20	-	-	SYM
cana-4511	7	21	01	01	NUM
cana-4511	7	22	-	-	PUNCT
cana-4511	7	23	2025	2025	NUM
cana-4511	7	24	revised	revise	VERB
cana-4511	7	25	:	:	PUNCT
cana-4511	7	26	15	15	NUM
cana-4511	7	27	-	-	NUM
cana-4511	7	28	02	02	NUM
cana-4511	7	29	-	-	PUNCT
cana-4511	7	30	2025	2025	NUM
cana-4511	7	31	accepted	accept	VERB
cana-4511	7	32	:	:	PUNCT
cana-4511	7	33	01	01	NUM
cana-4511	7	34	-	-	SYM
cana-4511	7	35	03	03	NUM
cana-4511	7	36	-	-	PUNCT
cana-4511	7	37	2025	2025	NUM
cana-4511	7	38	abstract	abstract	NOUN
cana-4511	7	39	:	:	PUNCT
cana-4511	7	40	introduction	introduction	NOUN
cana-4511	7	41	:	:	PUNCT
cana-4511	7	42	the	the	DET
cana-4511	7	43	railway	railway	NOUN
cana-4511	7	44	system	system	NOUN
cana-4511	7	45	can	can	AUX
cana-4511	7	46	be	be	AUX
cana-4511	7	47	viewed	view	VERB
cana-4511	7	48	as	as	ADP
cana-4511	7	49	a	a	DET
cana-4511	7	50	collection	collection	NOUN
cana-4511	7	51	of	of	ADP
cana-4511	7	52	structural	structural	ADJ
cana-4511	7	53	components	component	NOUN
cana-4511	7	54	,	,	PUNCT
cana-4511	7	55	each	each	PRON
cana-4511	7	56	with	with	ADP
cana-4511	7	57	distinct	distinct	ADJ
cana-4511	7	58	mechanical	mechanical	ADJ
cana-4511	7	59	properties	property	NOUN
cana-4511	7	60	.	.	PUNCT
cana-4511	8	1	these	these	DET
cana-4511	8	2	components	component	NOUN
cana-4511	8	3	are	be	AUX
cana-4511	8	4	defined	define	VERB
cana-4511	8	5	by	by	ADP
cana-4511	8	6	their	their	PRON
cana-4511	8	7	strength	strength	NOUN
cana-4511	8	8	,	,	PUNCT
cana-4511	8	9	stiffness	stiffness	NOUN
cana-4511	8	10	,	,	PUNCT
cana-4511	8	11	natural	natural	ADJ
cana-4511	8	12	and	and	CCONJ
cana-4511	8	13	forced	force	VERB
cana-4511	8	14	frequency	frequency	NOUN
cana-4511	8	15	response	response	NOUN
cana-4511	8	16	function	function	NOUN
cana-4511	8	17	,	,	PUNCT
cana-4511	8	18	which	which	PRON
cana-4511	8	19	is	be	AUX
cana-4511	8	20	influenced	influence	VERB
cana-4511	8	21	by	by	ADP
cana-4511	8	22	their	their	PRON
cana-4511	8	23	mass	mass	ADJ
cana-4511	8	24	and	and	CCONJ
cana-4511	8	25	elastic	elastic	ADJ
cana-4511	8	26	characteristics	characteristic	NOUN
cana-4511	8	27	.	.	PUNCT
cana-4511	9	1	these	these	DET
cana-4511	9	2	parameters	parameter	NOUN
cana-4511	9	3	determine	determine	VERB
cana-4511	9	4	the	the	DET
cana-4511	9	5	static	static	ADJ
cana-4511	9	6	and	and	CCONJ
cana-4511	9	7	dynamic	dynamic	ADJ
cana-4511	9	8	response	response	NOUN
cana-4511	9	9	or	or	CCONJ
cana-4511	9	10	behavior	behavior	NOUN
cana-4511	9	11	of	of	ADP
cana-4511	9	12	the	the	DET
cana-4511	9	13	rail	rail	NOUN
cana-4511	9	14	.	.	PUNCT
cana-4511	10	1	to	to	PART
cana-4511	10	2	analyze	analyze	VERB
cana-4511	10	3	the	the	DET
cana-4511	10	4	behavior	behavior	NOUN
cana-4511	10	5	of	of	ADP
cana-4511	10	6	the	the	DET
cana-4511	10	7	track	track	NOUN
cana-4511	10	8	,	,	PUNCT
cana-4511	10	9	it	it	PRON
cana-4511	10	10	is	be	AUX
cana-4511	10	11	essential	essential	ADJ
cana-4511	10	12	to	to	PART
cana-4511	10	13	understand	understand	VERB
cana-4511	10	14	the	the	DET
cana-4511	10	15	mechanical	mechanical	ADJ
cana-4511	10	16	properties	property	NOUN
cana-4511	10	17	of	of	ADP
cana-4511	10	18	the	the	DET
cana-4511	10	19	primary	primary	ADJ
cana-4511	10	20	rail	rail	NOUN
cana-4511	10	21	track	track	NOUN
cana-4511	10	22	elements	element	NOUN
cana-4511	10	23	.	.	PUNCT
cana-4511	11	1	objectives	objective	NOUN
cana-4511	11	2	:	:	PUNCT
cana-4511	11	3	this	this	DET
cana-4511	11	4	paper	paper	NOUN
cana-4511	11	5	focuses	focus	VERB
cana-4511	11	6	on	on	ADP
cana-4511	11	7	the	the	DET
cana-4511	11	8	discretely	discretely	ADV
cana-4511	11	9	supported	support	VERB
cana-4511	11	10	rail	rail	NOUN
cana-4511	11	11	beam	beam	NOUN
cana-4511	11	12	model	model	NOUN
cana-4511	11	13	with	with	ADP
cana-4511	11	14	linear	linear	ADJ
cana-4511	11	15	spring	spring	NOUN
cana-4511	11	16	stiffness	stiffness	NOUN
cana-4511	11	17	and	and	CCONJ
cana-4511	11	18	nonlinear	nonlinear	ADJ
cana-4511	11	19	spring	spring	NOUN
cana-4511	11	20	stiffness	stiffness	NOUN
cana-4511	11	21	,	,	PUNCT
cana-4511	11	22	compared	compare	VERB
cana-4511	11	23	the	the	DET
cana-4511	11	24	results	result	NOUN
cana-4511	11	25	using	use	VERB
cana-4511	11	26	ansys	ansys	NOUN
cana-4511	11	27	for	for	ADP
cana-4511	11	28	static	static	ADJ
cana-4511	11	29	analysis	analysis	NOUN
cana-4511	11	30	.	.	PUNCT
cana-4511	12	1	methods	method	NOUN
cana-4511	12	2	:	:	PUNCT
cana-4511	12	3	the	the	DET
cana-4511	12	4	rails	rail	NOUN
cana-4511	12	5	are	be	AUX
cana-4511	12	6	linear	linear	ADJ
cana-4511	12	7	elements	element	NOUN
cana-4511	12	8	of	of	ADP
cana-4511	12	9	infinite	infinite	ADJ
cana-4511	12	10	length	length	NOUN
cana-4511	12	11	,	,	PUNCT
cana-4511	12	12	making	make	VERB
cana-4511	12	13	them	they	PRON
cana-4511	12	14	suitable	suitable	ADJ
cana-4511	12	15	to	to	PART
cana-4511	12	16	be	be	AUX
cana-4511	12	17	modeled	model	VERB
cana-4511	12	18	as	as	ADP
cana-4511	12	19	beams	beam	NOUN
cana-4511	12	20	.	.	PUNCT
cana-4511	13	1	they	they	PRON
cana-4511	13	2	possess	possess	VERB
cana-4511	13	3	flexural	flexural	ADJ
cana-4511	13	4	stiffness	stiffness	NOUN
cana-4511	13	5	in	in	ADP
cana-4511	13	6	both	both	CCONJ
cana-4511	13	7	the	the	DET
cana-4511	13	8	vertical	vertical	ADJ
cana-4511	13	9	and	and	CCONJ
cana-4511	13	10	lateral	lateral	ADJ
cana-4511	13	11	directions	direction	NOUN
cana-4511	13	12	,	,	PUNCT
cana-4511	13	13	as	as	ADV
cana-4511	13	14	well	well	ADV
cana-4511	13	15	as	as	ADP
cana-4511	13	16	compressive	compressive	ADJ
cana-4511	13	17	stiffness	stiffness	NOUN
cana-4511	13	18	in	in	ADP
cana-4511	13	19	the	the	DET
cana-4511	13	20	longitudinal	longitudinal	ADJ
cana-4511	13	21	direction	direction	NOUN
cana-4511	13	22	.	.	PUNCT
cana-4511	14	1	additionally	additionally	ADV
cana-4511	14	2	,	,	PUNCT
cana-4511	14	3	rails	rail	NOUN
cana-4511	14	4	have	have	VERB
cana-4511	14	5	shear	shear	NOUN
cana-4511	14	6	stiffness	stiffness	NOUN
cana-4511	14	7	,	,	PUNCT
cana-4511	14	8	although	although	SCONJ
cana-4511	14	9	this	this	PRON
cana-4511	14	10	is	be	AUX
cana-4511	14	11	often	often	ADV
cana-4511	14	12	overlooked	overlook	VERB
cana-4511	14	13	in	in	ADP
cana-4511	14	14	modeling	modeling	NOUN
cana-4511	14	15	.	.	PUNCT
cana-4511	15	1	the	the	DET
cana-4511	15	2	rail	rail	NOUN
cana-4511	15	3	fastening	fastening	NOUN
cana-4511	15	4	system	system	NOUN
cana-4511	15	5	commonly	commonly	ADV
cana-4511	15	6	used	use	VERB
cana-4511	15	7	with	with	ADP
cana-4511	15	8	prestressed	prestressed	ADJ
cana-4511	15	9	concrete	concrete	ADJ
cana-4511	15	10	sleepers	sleeper	NOUN
cana-4511	15	11	consists	consist	VERB
cana-4511	15	12	of	of	ADP
cana-4511	15	13	a	a	DET
cana-4511	15	14	resilient	resilient	ADJ
cana-4511	15	15	spring	spring	NOUN
cana-4511	15	16	fastener	fastener	NOUN
cana-4511	15	17	,	,	PUNCT
cana-4511	15	18	which	which	PRON
cana-4511	15	19	works	work	VERB
cana-4511	15	20	in	in	ADP
cana-4511	15	21	parallel	parallel	NOUN
cana-4511	15	22	with	with	ADP
cana-4511	15	23	a	a	DET
cana-4511	15	24	much	much	ADV
cana-4511	15	25	stiffer	stiff	ADJ
cana-4511	15	26	rail	rail	NOUN
cana-4511	15	27	pad	pad	NOUN
cana-4511	15	28	.	.	PUNCT
cana-4511	16	1	the	the	DET
cana-4511	16	2	load	load	NOUN
cana-4511	16	3	/	/	SYM
cana-4511	16	4	deflection	deflection	NOUN
cana-4511	16	5	behavior	behavior	NOUN
cana-4511	16	6	of	of	ADP
cana-4511	16	7	the	the	DET
cana-4511	16	8	fastening	fastening	NOUN
cana-4511	16	9	system	system	NOUN
cana-4511	16	10	is	be	AUX
cana-4511	16	11	non	non	ADJ
cana-4511	16	12	-	-	ADJ
cana-4511	16	13	linear	linear	ADJ
cana-4511	16	14	;	;	PUNCT
cana-4511	16	15	however	however	ADV
cana-4511	16	16	,	,	PUNCT
cana-4511	16	17	some	some	DET
cana-4511	16	18	linearization	linearization	NOUN
cana-4511	16	19	of	of	ADP
cana-4511	16	20	this	this	DET
cana-4511	16	21	behavior	behavior	NOUN
cana-4511	16	22	can	can	AUX
cana-4511	16	23	be	be	AUX
cana-4511	16	24	justified	justify	VERB
cana-4511	16	25	.	.	PUNCT
cana-4511	17	1	rail	rail	NOUN
cana-4511	17	2	pads	pad	NOUN
cana-4511	17	3	are	be	AUX
cana-4511	17	4	primarily	primarily	ADV
cana-4511	17	5	subjected	subject	VERB
cana-4511	17	6	to	to	ADP
cana-4511	17	7	compression	compression	NOUN
cana-4511	17	8	,	,	PUNCT
cana-4511	17	9	which	which	PRON
cana-4511	17	10	is	be	AUX
cana-4511	17	11	constant	constant	ADJ
cana-4511	17	12	due	due	ADP
cana-4511	17	13	to	to	ADP
cana-4511	17	14	the	the	DET
cana-4511	17	15	fastening	fastening	NOUN
cana-4511	17	16	system	system	NOUN
cana-4511	17	17	and	and	CCONJ
cana-4511	17	18	rail	rail	NOUN
cana-4511	17	19	traffic	traffic	NOUN
cana-4511	17	20	.	.	PUNCT
cana-4511	18	1	the	the	DET
cana-4511	18	2	inclusion	inclusion	NOUN
cana-4511	18	3	of	of	ADP
cana-4511	18	4	rail	rail	NOUN
cana-4511	18	5	pads	pad	NOUN
cana-4511	18	6	helps	help	VERB
cana-4511	18	7	reduce	reduce	VERB
cana-4511	18	8	the	the	DET
cana-4511	18	9	impact	impact	NOUN
cana-4511	18	10	of	of	ADP
cana-4511	18	11	this	this	DET
cana-4511	18	12	force	force	NOUN
cana-4511	18	13	by	by	ADP
cana-4511	18	14	lowering	lower	VERB
cana-4511	18	15	the	the	DET
cana-4511	18	16	effective	effective	ADJ
cana-4511	18	17	track	track	NOUN
cana-4511	18	18	mass	mass	NOUN
cana-4511	18	19	acting	act	VERB
cana-4511	18	20	on	on	ADP
cana-4511	18	21	the	the	DET
cana-4511	18	22	sleepers	sleeper	NOUN
cana-4511	18	23	and	and	CCONJ
cana-4511	18	24	ballast	ballast	NOUN
cana-4511	18	25	.	.	PUNCT
cana-4511	19	1	the	the	DET
cana-4511	19	2	track	track	NOUN
cana-4511	19	3	components	component	NOUN
cana-4511	19	4	,	,	PUNCT
cana-4511	19	5	initially	initially	ADV
cana-4511	19	6	considered	consider	VERB
cana-4511	19	7	to	to	PART
cana-4511	19	8	be	be	AUX
cana-4511	19	9	exhibiting	exhibit	VERB
cana-4511	19	10	the	the	DET
cana-4511	19	11	linear	linear	ADJ
cana-4511	19	12	behaviors	behavior	NOUN
cana-4511	19	13	,	,	PUNCT
cana-4511	19	14	and	and	CCONJ
cana-4511	19	15	later	later	ADV
cana-4511	19	16	for	for	ADP
cana-4511	19	17	more	more	ADJ
cana-4511	19	18	accuracy	accuracy	NOUN
cana-4511	19	19	,	,	PUNCT
cana-4511	19	20	they	they	PRON
cana-4511	19	21	were	be	AUX
cana-4511	19	22	studied	study	VERB
cana-4511	19	23	for	for	ADP
cana-4511	19	24	their	their	PRON
cana-4511	19	25	nonlinear	nonlinear	ADJ
cana-4511	19	26	behavior	behavior	NOUN
cana-4511	19	27	by	by	ADP
cana-4511	19	28	many	many	ADJ
cana-4511	19	29	researchers	researcher	NOUN
cana-4511	19	30	.	.	PUNCT
cana-4511	20	1	the	the	DET
cana-4511	20	2	static	static	ADJ
cana-4511	20	3	response	response	NOUN
cana-4511	20	4	is	be	AUX
cana-4511	20	5	often	often	ADV
cana-4511	20	6	determined	determined	ADJ
cana-4511	20	7	for	for	ADP
cana-4511	20	8	the	the	DET
cana-4511	20	9	track	track	NOUN
cana-4511	20	10	modulus	modulus	NOUN
cana-4511	20	11	,	,	PUNCT
cana-4511	20	12	an	an	DET
cana-4511	20	13	important	important	ADJ
cana-4511	20	14	parameter	parameter	NOUN
cana-4511	20	15	with	with	ADP
cana-4511	20	16	respect	respect	NOUN
cana-4511	20	17	to	to	ADP
cana-4511	20	18	design	design	NOUN
cana-4511	20	19	,	,	PUNCT
cana-4511	20	20	and	and	CCONJ
cana-4511	20	21	maintenance	maintenance	NOUN
cana-4511	20	22	of	of	ADP
cana-4511	20	23	the	the	DET
cana-4511	20	24	railway	railway	NOUN
cana-4511	20	25	track	track	NOUN
cana-4511	20	26	structure	structure	NOUN
cana-4511	20	27	.	.	PUNCT
cana-4511	21	1	there	there	PRON
cana-4511	21	2	are	be	VERB
cana-4511	21	3	different	different	ADJ
cana-4511	21	4	mathematical	mathematical	ADJ
cana-4511	21	5	models	model	NOUN
cana-4511	21	6	suggested	suggest	VERB
cana-4511	21	7	for	for	ADP
cana-4511	21	8	obtaining	obtain	VERB
cana-4511	21	9	the	the	DET
cana-4511	21	10	track	track	NOUN
cana-4511	21	11	modulus	modulus	NOUN
cana-4511	21	12	.	.	PUNCT
cana-4511	22	1	the	the	DET
cana-4511	22	2	traditional	traditional	ADJ
cana-4511	22	3	method	method	NOUN
cana-4511	22	4	is	be	AUX
cana-4511	22	5	beam	beam	ADJ
cana-4511	22	6	on	on	ADP
cana-4511	22	7	continuous	continuous	ADJ
cana-4511	22	8	elastic	elastic	ADJ
cana-4511	22	9	foundation	foundation	NOUN
cana-4511	22	10	(	(	PUNCT
cana-4511	22	11	boef	boef	PROPN
cana-4511	22	12	)	)	PUNCT
cana-4511	22	13	model	model	NOUN
cana-4511	22	14	,	,	PUNCT
cana-4511	22	15	most	most	ADV
cana-4511	22	16	widely	widely	ADV
cana-4511	22	17	discussed	discuss	VERB
cana-4511	22	18	and	and	CCONJ
cana-4511	22	19	studied	study	VERB
cana-4511	22	20	in	in	ADP
cana-4511	22	21	different	different	ADJ
cana-4511	22	22	aspects	aspect	NOUN
cana-4511	22	23	.	.	PUNCT
cana-4511	23	1	the	the	DET
cana-4511	23	2	winkler	winkler	NOUN
cana-4511	23	3	’s	’s	PART
cana-4511	23	4	hypothesis	hypothesis	NOUN
cana-4511	23	5	,	,	PUNCT
cana-4511	23	6	considers	consider	VERB
cana-4511	23	7	elastic	elastic	ADJ
cana-4511	23	8	foundation	foundation	NOUN
cana-4511	23	9	as	as	ADP
cana-4511	23	10	a	a	DET
cana-4511	23	11	system	system	NOUN
cana-4511	23	12	of	of	ADP
cana-4511	23	13	identical	identical	ADJ
cana-4511	23	14	,	,	PUNCT
cana-4511	23	15	independent	independent	ADJ
cana-4511	23	16	,	,	PUNCT
cana-4511	23	17	closely	closely	ADV
cana-4511	23	18	spaced	spaced	ADJ
cana-4511	23	19	,	,	PUNCT
cana-4511	23	20	discrete	discrete	ADJ
cana-4511	23	21	and	and	CCONJ
cana-4511	23	22	linear	linear	ADJ
cana-4511	23	23	elastic	elastic	ADJ
cana-4511	23	24	springs	spring	NOUN
cana-4511	23	25	.	.	PUNCT
cana-4511	24	1	in	in	ADP
cana-4511	24	2	actual	actual	ADJ
cana-4511	24	3	,	,	PUNCT
cana-4511	24	4	the	the	DET
cana-4511	24	5	track	track	NOUN
cana-4511	24	6	components	component	NOUN
cana-4511	24	7	do	do	AUX
cana-4511	24	8	not	not	PART
cana-4511	24	9	behave	behave	VERB
cana-4511	24	10	linearly	linearly	ADV
cana-4511	24	11	.	.	PUNCT
cana-4511	25	1	results	result	NOUN
cana-4511	25	2	:	:	PUNCT
cana-4511	25	3	the	the	DET
cana-4511	25	4	rail	rail	NOUN
cana-4511	25	5	beam	beam	NOUN
cana-4511	25	6	model	model	NOUN
cana-4511	25	7	with	with	ADP
cana-4511	25	8	linear	linear	ADJ
cana-4511	25	9	spring	spring	NOUN
cana-4511	25	10	stiffness	stiffness	NOUN
cana-4511	25	11	and	and	CCONJ
cana-4511	25	12	nonlinear	nonlinear	ADJ
cana-4511	25	13	spring	spring	NOUN
cana-4511	25	14	stiffness	stiffness	NOUN
cana-4511	25	15	are	be	AUX
cana-4511	25	16	compared	compare	VERB
cana-4511	25	17	against	against	ADP
cana-4511	25	18	the	the	DET
cana-4511	25	19	results	result	NOUN
cana-4511	25	20	using	use	VERB
cana-4511	25	21	ansys	ansys	NOUN
cana-4511	25	22	for	for	ADP
cana-4511	25	23	static	static	ADJ
cana-4511	25	24	analysis	analysis	NOUN
cana-4511	25	25	.	.	PUNCT
cana-4511	26	1	conclusions	conclusion	NOUN
cana-4511	26	2	:	:	PUNCT
cana-4511	26	3	experimental	experimental	ADJ
cana-4511	26	4	and	and	CCONJ
cana-4511	26	5	simulated	simulate	VERB
cana-4511	26	6	results	result	NOUN
cana-4511	26	7	validate	validate	VERB
cana-4511	26	8	the	the	DET
cana-4511	26	9	non	non	ADJ
cana-4511	26	10	-	-	ADJ
cana-4511	26	11	linear	linear	ADJ
cana-4511	26	12	stiffness	stiffness	NOUN
cana-4511	26	13	varies	vary	VERB
cana-4511	26	14	non	non	ADJ
cana-4511	26	15	-	-	ADJ
cana-4511	26	16	linearly	linearly	ADV
cana-4511	26	17	having	have	VERB
cana-4511	26	18	a	a	DET
cana-4511	26	19	quadratic	quadratic	ADJ
cana-4511	26	20	behavior	behavior	NOUN
cana-4511	26	21	.	.	PUNCT
cana-4511	27	1	the	the	DET
cana-4511	27	2	band	band	NOUN
cana-4511	27	3	of	of	ADP
cana-4511	27	4	track	track	NOUN
cana-4511	27	5	between	between	ADP
cana-4511	27	6	the	the	DET
cana-4511	27	7	zero	zero	NUM
cana-4511	27	8	deflection	deflection	NOUN
cana-4511	27	9	and	and	CCONJ
cana-4511	27	10	maximum	maximum	ADJ
cana-4511	27	11	displacement	displacement	NOUN
cana-4511	27	12	with	with	ADP
cana-4511	27	13	the	the	DET
cana-4511	27	14	rail	rail	NOUN
cana-4511	27	15	having	have	VERB
cana-4511	27	16	non	non	ADJ
cana-4511	27	17	-	-	ADJ
cana-4511	27	18	linear	linear	ADJ
cana-4511	27	19	stiffness	stiffness	NOUN
cana-4511	27	20	is	be	AUX
cana-4511	27	21	two	two	NUM
cana-4511	27	22	times	time	NOUN
cana-4511	27	23	against	against	ADP
cana-4511	27	24	the	the	DET
cana-4511	27	25	rail	rail	NOUN
cana-4511	27	26	with	with	ADP
cana-4511	27	27	linear	linear	ADJ
cana-4511	27	28	stiffness	stiffness	NOUN
cana-4511	27	29	.	.	PUNCT
cana-4511	28	1	keywords	keyword	NOUN
cana-4511	28	2	:	:	PUNCT
cana-4511	28	3	track	track	NOUN
cana-4511	28	4	modulus	modulus	NOUN
cana-4511	28	5	,	,	PUNCT
cana-4511	28	6	visco	visco	ADJ
cana-4511	28	7	-	-	ADJ
cana-4511	28	8	elastic	elastic	ADJ
cana-4511	28	9	material	material	NOUN
cana-4511	28	10	,	,	PUNCT
cana-4511	28	11	beam	beam	NOUN
cana-4511	28	12	on	on	ADP
cana-4511	28	13	continuous	continuous	ADJ
cana-4511	28	14	elastic	elastic	ADJ
cana-4511	28	15	foundation	foundation	NOUN
cana-4511	28	16	–	–	PUNCT
cana-4511	28	17	boef	boef	NOUN
cana-4511	28	18	,	,	PUNCT
cana-4511	28	19	discretely	discretely	ADV
cana-4511	28	20	supported	support	VERB
cana-4511	28	21	beam	beam	NOUN
cana-4511	28	22	,	,	PUNCT
cana-4511	28	23	track	track	NOUN
cana-4511	28	24	modulus	modulus	NOUN
cana-4511	28	25	,	,	PUNCT
cana-4511	28	26	fem	fem	NOUN
cana-4511	28	27	.	.	PUNCT
cana-4511	29	1	communications	communication	NOUN
cana-4511	29	2	on	on	ADP
cana-4511	29	3	applied	apply	VERB
cana-4511	29	4	nonlinear	nonlinear	ADJ
cana-4511	29	5	analysis	analysis	NOUN
cana-4511	29	6	issn	issn	NOUN
cana-4511	29	7	:	:	PUNCT
cana-4511	29	8	1074	1074	NUM
cana-4511	29	9	-	-	PUNCT
cana-4511	29	10	133x	133x	NUM
cana-4511	29	11	vol	vol	NOUN
cana-4511	29	12	32	32	NUM
cana-4511	29	13	no	no	NOUN
cana-4511	29	14	.	.	PUNCT
cana-4511	30	1	9s	9s	NUM
cana-4511	30	2	(	(	PUNCT
cana-4511	30	3	2025	2025	NUM
cana-4511	30	4	)	)	PUNCT
cana-4511	30	5	2259	2259	NUM
cana-4511	30	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4511	30	7	1	1	X
cana-4511	30	8	.	.	PUNCT
cana-4511	30	9	introduction	introduction	NOUN
cana-4511	30	10	the	the	DET
cana-4511	30	11	structure	structure	NOUN
cana-4511	30	12	of	of	ADP
cana-4511	30	13	the	the	DET
cana-4511	30	14	railway	railway	NOUN
cana-4511	30	15	track	track	NOUN
cana-4511	30	16	consists	consist	VERB
cana-4511	30	17	of	of	ADP
cana-4511	30	18	(	(	PUNCT
cana-4511	30	19	i	i	NOUN
cana-4511	30	20	)	)	PUNCT
cana-4511	30	21	super	super	ADJ
cana-4511	30	22	-	-	NOUN
cana-4511	30	23	structure	structure	VERB
cana-4511	30	24	the	the	DET
cana-4511	30	25	rail	rail	NOUN
cana-4511	30	26	,	,	PUNCT
cana-4511	30	27	fastening	fastening	NOUN
cana-4511	30	28	system	system	NOUN
cana-4511	30	29	and	and	CCONJ
cana-4511	30	30	sleepers	sleeper	NOUN
cana-4511	30	31	;	;	PUNCT
cana-4511	30	32	(	(	PUNCT
cana-4511	30	33	ii	ii	NOUN
cana-4511	30	34	)	)	PUNCT
cana-4511	30	35	sub	sub	ADJ
cana-4511	30	36	-	-	ADJ
cana-4511	30	37	structure	structure	ADJ
cana-4511	30	38	non	non	ADJ
cana-4511	30	39	-	-	ADJ
cana-4511	30	40	cohesive	cohesive	ADJ
cana-4511	30	41	granular	granular	ADJ
cana-4511	30	42	materials	material	NOUN
cana-4511	30	43	viz	viz	NOUN
cana-4511	30	44	stone	stone	NOUN
cana-4511	30	45	ballast	ballast	NOUN
cana-4511	30	46	.	.	PUNCT
cana-4511	31	1	the	the	DET
cana-4511	31	2	railway	railway	NOUN
cana-4511	31	3	track	track	NOUN
cana-4511	31	4	is	be	AUX
cana-4511	31	5	a	a	DET
cana-4511	31	6	continuous	continuous	ADJ
cana-4511	31	7	beam	beam	NOUN
cana-4511	31	8	structure	structure	NOUN
cana-4511	31	9	supported	support	VERB
cana-4511	31	10	on	on	ADP
cana-4511	31	11	the	the	DET
cana-4511	31	12	elastic	elastic	ADJ
cana-4511	31	13	foundation	foundation	NOUN
cana-4511	31	14	having	have	VERB
cana-4511	31	15	sleepers	sleeper	NOUN
cana-4511	31	16	,	,	PUNCT
cana-4511	31	17	grp	grp	PROPN
cana-4511	31	18	,	,	PUNCT
cana-4511	31	19	liners	liner	NOUN
cana-4511	31	20	and	and	CCONJ
cana-4511	31	21	elastic	elastic	ADJ
cana-4511	31	22	clips	clip	NOUN
cana-4511	31	23	tied	tie	VERB
cana-4511	31	24	to	to	ADP
cana-4511	31	25	the	the	DET
cana-4511	31	26	rail	rail	NOUN
cana-4511	31	27	.	.	PUNCT
cana-4511	32	1	the	the	DET
cana-4511	32	2	standard	standard	ADJ
cana-4511	32	3	rail	rail	NOUN
cana-4511	32	4	sections	section	NOUN
cana-4511	32	5	in	in	ADP
cana-4511	32	6	use	use	NOUN
cana-4511	32	7	on	on	ADP
cana-4511	32	8	indian	indian	ADJ
cana-4511	32	9	railways	railway	NOUN
cana-4511	32	10	are	be	AUX
cana-4511	32	11	60	60	NUM
cana-4511	32	12	kg	kg	NOUN
cana-4511	32	13	,	,	PUNCT
cana-4511	32	14	and	and	CCONJ
cana-4511	32	15	52	52	NUM
cana-4511	32	16	kg	kg	NOUN
cana-4511	32	17	.	.	PUNCT
cana-4511	33	1	figure	figure	NOUN
cana-4511	33	2	1	1	NUM
cana-4511	33	3	:	:	PUNCT
cana-4511	33	4	a	a	DET
cana-4511	33	5	schematic	schematic	ADJ
cana-4511	33	6	of	of	ADP
cana-4511	33	7	rail	rail	NOUN
cana-4511	33	8	track	track	NOUN
cana-4511	33	9	and	and	CCONJ
cana-4511	33	10	rail	rail	NOUN
cana-4511	33	11	fastening	fastening	NOUN
cana-4511	33	12	system	system	NOUN
cana-4511	33	13	using	use	VERB
cana-4511	33	14	erc	erc	PROPN
cana-4511	34	1	[	[	X
cana-4511	34	2	source	source	NOUN
cana-4511	34	3	:	:	PUNCT
cana-4511	34	4	http://www.pandrolrahee.com/	http://www.pandrolrahee.com/	X
cana-4511	34	5	]	]	PUNCT
cana-4511	34	6	the	the	DET
cana-4511	34	7	traditional	traditional	ADJ
cana-4511	34	8	method	method	NOUN
cana-4511	34	9	is	be	AUX
cana-4511	34	10	beam	beam	ADJ
cana-4511	34	11	on	on	ADP
cana-4511	34	12	continuous	continuous	ADJ
cana-4511	34	13	elastic	elastic	ADJ
cana-4511	34	14	foundation	foundation	NOUN
cana-4511	34	15	(	(	PUNCT
cana-4511	34	16	boef	boef	NOUN
cana-4511	34	17	)	)	PUNCT
cana-4511	34	18	model	model	NOUN
cana-4511	34	19	.	.	PUNCT
cana-4511	35	1	the	the	DET
cana-4511	35	2	winkler	winkler	NOUN
cana-4511	35	3	’s	’s	PART
cana-4511	35	4	hypothesis	hypothesis	NOUN
cana-4511	35	5	,	,	PUNCT
cana-4511	35	6	considers	consider	VERB
cana-4511	35	7	elastic	elastic	ADJ
cana-4511	35	8	foundation	foundation	NOUN
cana-4511	35	9	as	as	ADP
cana-4511	35	10	a	a	DET
cana-4511	35	11	system	system	NOUN
cana-4511	35	12	of	of	ADP
cana-4511	35	13	identical	identical	ADJ
cana-4511	35	14	,	,	PUNCT
cana-4511	35	15	independent	independent	ADJ
cana-4511	35	16	,	,	PUNCT
cana-4511	35	17	closely	closely	ADV
cana-4511	35	18	spaced	spaced	ADJ
cana-4511	35	19	,	,	PUNCT
cana-4511	35	20	discrete	discrete	ADJ
cana-4511	35	21	and	and	CCONJ
cana-4511	35	22	linear	linear	ADJ
cana-4511	35	23	elastic	elastic	ADJ
cana-4511	35	24	springs	spring	NOUN
cana-4511	35	25	.	.	PUNCT
cana-4511	36	1	another	another	DET
cana-4511	36	2	modelling	modelling	NOUN
cana-4511	36	3	approach	approach	NOUN
cana-4511	36	4	is	be	AUX
cana-4511	36	5	using	use	VERB
cana-4511	36	6	the	the	DET
cana-4511	36	7	continuously	continuously	ADV
cana-4511	36	8	supported	support	VERB
cana-4511	36	9	rail	rail	NOUN
cana-4511	36	10	beam	beam	NOUN
cana-4511	36	11	and	and	CCONJ
cana-4511	36	12	those	those	PRON
cana-4511	36	13	that	that	PRON
cana-4511	36	14	represent	represent	VERB
cana-4511	36	15	the	the	DET
cana-4511	36	16	track	track	NOUN
cana-4511	36	17	as	as	ADP
cana-4511	36	18	a	a	DET
cana-4511	36	19	discretely	discretely	ADV
cana-4511	36	20	supported	support	VERB
cana-4511	36	21	rail	rail	NOUN
cana-4511	36	22	beam	beam	NOUN
cana-4511	36	23	.	.	PUNCT
cana-4511	37	1	continuously	continuously	ADV
cana-4511	37	2	supported	support	VERB
cana-4511	37	3	models	model	NOUN
cana-4511	37	4	of	of	ADP
cana-4511	37	5	infinite	infinite	ADJ
cana-4511	37	6	length	length	NOUN
cana-4511	37	7	are	be	AUX
cana-4511	37	8	based	base	VERB
cana-4511	37	9	on	on	ADP
cana-4511	37	10	the	the	DET
cana-4511	37	11	beam	beam	NOUN
cana-4511	37	12	on	on	ADP
cana-4511	37	13	elastic	elastic	ADJ
cana-4511	37	14	foundation	foundation	NOUN
cana-4511	37	15	theory	theory	NOUN
cana-4511	37	16	.	.	PUNCT
cana-4511	38	1	zimmermann	zimmermann	PROPN
cana-4511	38	2	(	(	PUNCT
cana-4511	38	3	1888	1888	NUM
cana-4511	38	4	)	)	PUNCT
cana-4511	38	5	presented	present	VERB
cana-4511	38	6	a	a	DET
cana-4511	38	7	solution	solution	NOUN
cana-4511	38	8	for	for	ADP
cana-4511	38	9	the	the	DET
cana-4511	38	10	winkler	winkler	NOUN
cana-4511	38	11	hypothesis	hypothesis	NOUN
cana-4511	38	12	(	(	PUNCT
cana-4511	38	13	model	model	NOUN
cana-4511	38	14	)	)	PUNCT
cana-4511	38	15	by	by	ADP
cana-4511	38	16	assuming	assume	VERB
cana-4511	38	17	the	the	DET
cana-4511	38	18	rail	rail	NOUN
cana-4511	38	19	as	as	ADP
cana-4511	38	20	1	1	NUM
cana-4511	38	21	–	–	PUNCT
cana-4511	38	22	d	d	NOUN
cana-4511	38	23	analysis	analysis	NOUN
cana-4511	38	24	of	of	ADP
cana-4511	38	25	a	a	DET
cana-4511	38	26	railway	railway	NOUN
cana-4511	38	27	structure	structure	NOUN
cana-4511	38	28	supported	support	VERB
cana-4511	38	29	by	by	ADP
cana-4511	38	30	elastic	elastic	ADJ
cana-4511	38	31	springs	spring	NOUN
cana-4511	38	32	at	at	ADP
cana-4511	38	33	discrete	discrete	ADJ
cana-4511	38	34	points	point	NOUN
cana-4511	38	35	of	of	ADP
cana-4511	38	36	a	a	DET
cana-4511	38	37	beam	beam	NOUN
cana-4511	38	38	laid	lay	VERB
cana-4511	38	39	on	on	ADP
cana-4511	38	40	a	a	DET
cana-4511	38	41	continuous	continuous	ADJ
cana-4511	38	42	support	support	NOUN
cana-4511	38	43	(	(	PUNCT
cana-4511	38	44	soil	soil	NOUN
cana-4511	38	45	subgrade	subgrade	NOUN
cana-4511	38	46	or	or	CCONJ
cana-4511	38	47	foundation	foundation	NOUN
cana-4511	38	48	)	)	PUNCT
cana-4511	38	49	.	.	PUNCT
cana-4511	39	1	in	in	ADP
cana-4511	39	2	1970	1970	NUM
cana-4511	39	3	,	,	PUNCT
cana-4511	39	4	meacham	meacham	PROPN
cana-4511	39	5	et	et	PROPN
cana-4511	39	6	.	.	PUNCT
cana-4511	40	1	al	al	PROPN
cana-4511	40	2	.	.	PROPN
cana-4511	41	1	(	(	PUNCT
cana-4511	41	2	1970	1970	NUM
cana-4511	41	3	)	)	PUNCT
cana-4511	41	4	introduced	introduce	VERB
cana-4511	41	5	a	a	DET
cana-4511	41	6	track	track	NOUN
cana-4511	41	7	model	model	NOUN
cana-4511	41	8	,	,	PUNCT
cana-4511	41	9	assuming	assume	VERB
cana-4511	41	10	the	the	DET
cana-4511	41	11	track	track	NOUN
cana-4511	41	12	components	component	NOUN
cana-4511	41	13	to	to	PART
cana-4511	41	14	be	be	AUX
cana-4511	41	15	replaced	replace	VERB
cana-4511	41	16	by	by	ADP
cana-4511	41	17	a	a	DET
cana-4511	41	18	series	series	NOUN
cana-4511	41	19	of	of	ADP
cana-4511	41	20	springs	spring	NOUN
cana-4511	41	21	,	,	PUNCT
cana-4511	41	22	with	with	ADP
cana-4511	41	23	individual	individual	ADJ
cana-4511	41	24	spring	spring	NOUN
cana-4511	41	25	constants	constant	NOUN
cana-4511	41	26	.	.	PUNCT
cana-4511	42	1	lundgren	lundgren	PROPN
cana-4511	42	2	and	and	CCONJ
cana-4511	42	3	martin	martin	PROPN
cana-4511	42	4	(	(	PUNCT
cana-4511	42	5	1970	1970	NUM
cana-4511	42	6	)	)	PUNCT
cana-4511	42	7	,	,	PUNCT
cana-4511	42	8	and	and	CCONJ
cana-4511	42	9	thompson	thompson	NOUN
cana-4511	42	10	and	and	CCONJ
cana-4511	42	11	tayabji	tayabji	NOUN
cana-4511	42	12	(	(	PUNCT
cana-4511	42	13	1976	1976	NUM
cana-4511	42	14	)	)	PUNCT
cana-4511	42	15	considered	consider	VERB
cana-4511	42	16	discrete	discrete	ADJ
cana-4511	42	17	support	support	NOUN
cana-4511	42	18	for	for	ADP
cana-4511	42	19	the	the	DET
cana-4511	42	20	rail	rail	NOUN
cana-4511	42	21	in	in	ADP
cana-4511	42	22	the	the	DET
cana-4511	42	23	static	static	ADJ
cana-4511	42	24	model	model	NOUN
cana-4511	42	25	of	of	ADP
cana-4511	42	26	the	the	DET
cana-4511	42	27	track	track	NOUN
cana-4511	42	28	.	.	PUNCT
cana-4511	43	1	ahlbeck	ahlbeck	PROPN
cana-4511	43	2	et	et	PROPN
cana-4511	43	3	.	.	PUNCT
cana-4511	44	1	al	al	PROPN
cana-4511	44	2	(	(	PUNCT
cana-4511	44	3	1978	1978	NUM
cana-4511	44	4	)	)	PUNCT
cana-4511	44	5	simulated	simulate	VERB
cana-4511	44	6	linear	linear	ADJ
cana-4511	44	7	railroad	railroad	NOUN
cana-4511	44	8	track	track	NOUN
cana-4511	44	9	structures	structure	NOUN
cana-4511	45	1	[	[	X
cana-4511	45	2	based	base	VERB
cana-4511	45	3	on	on	ADP
cana-4511	45	4	linear	linear	PROPN
cana-4511	45	5	theory	theory	NOUN
cana-4511	45	6	]	]	PUNCT
cana-4511	45	7	using	use	VERB
cana-4511	45	8	one	one	NUM
cana-4511	45	9	or	or	CCONJ
cana-4511	45	10	two	two	NUM
cana-4511	45	11	degrees	degree	NOUN
cana-4511	45	12	of	of	ADP
cana-4511	45	13	freedom	freedom	NOUN
cana-4511	45	14	with	with	ADP
cana-4511	45	15	lumped	lump	VERB
cana-4511	45	16	-	-	PUNCT
cana-4511	45	17	parameter	parameter	NOUN
cana-4511	45	18	model	model	NOUN
cana-4511	45	19	.	.	PUNCT
cana-4511	46	1	the	the	DET
cana-4511	46	2	above	above	ADJ
cana-4511	46	3	developments	development	NOUN
cana-4511	46	4	have	have	AUX
cana-4511	46	5	improved	improve	VERB
cana-4511	46	6	the	the	DET
cana-4511	46	7	winkler	winkler	NOUN
cana-4511	46	8	model	model	NOUN
cana-4511	46	9	by	by	ADP
cana-4511	46	10	taking	take	VERB
cana-4511	46	11	into	into	ADP
cana-4511	46	12	consideration	consideration	NOUN
cana-4511	46	13	the	the	DET
cana-4511	46	14	discrete	discrete	ADJ
cana-4511	46	15	properties	property	NOUN
cana-4511	46	16	of	of	ADP
cana-4511	46	17	the	the	DET
cana-4511	46	18	support	support	NOUN
cana-4511	46	19	system	system	NOUN
cana-4511	46	20	of	of	ADP
cana-4511	46	21	the	the	DET
cana-4511	46	22	rail	rail	NOUN
cana-4511	46	23	.	.	PUNCT
cana-4511	47	1	however	however	ADV
cana-4511	47	2	,	,	PUNCT
cana-4511	47	3	kerr	kerr	PROPN
cana-4511	47	4	(	(	PUNCT
cana-4511	47	5	1976	1976	NUM
cana-4511	47	6	)	)	PUNCT
cana-4511	47	7	[	[	X
cana-4511	47	8	2	2	NUM
cana-4511	47	9	,	,	PUNCT
cana-4511	47	10	19	19	NUM
cana-4511	47	11	]	]	PUNCT
cana-4511	47	12	proved	prove	VERB
cana-4511	47	13	that	that	SCONJ
cana-4511	47	14	the	the	DET
cana-4511	47	15	results	result	NOUN
cana-4511	47	16	obtained	obtain	VERB
cana-4511	47	17	from	from	ADP
cana-4511	47	18	the	the	DET
cana-4511	47	19	discrete	discrete	ADJ
cana-4511	47	20	support	support	NOUN
cana-4511	47	21	model	model	NOUN
cana-4511	47	22	are	be	AUX
cana-4511	47	23	not	not	PART
cana-4511	47	24	significantly	significantly	ADV
cana-4511	47	25	different	different	ADJ
cana-4511	47	26	from	from	ADP
cana-4511	47	27	those	those	PRON
cana-4511	47	28	obtained	obtain	VERB
cana-4511	47	29	from	from	ADP
cana-4511	47	30	the	the	DET
cana-4511	47	31	winkler	winkler	PROPN
cana-4511	47	32	model	model	NOUN
cana-4511	47	33	.	.	PUNCT
cana-4511	48	1	hetenyi	hetenyi	PROPN
cana-4511	49	1	[	[	X
cana-4511	49	2	21	21	NUM
cana-4511	49	3	]	]	PUNCT
cana-4511	49	4	studied	study	VERB
cana-4511	49	5	the	the	DET
cana-4511	49	6	different	different	ADJ
cana-4511	49	7	foundations	foundation	NOUN
cana-4511	49	8	and	and	CCONJ
cana-4511	49	9	modelled	model	VERB
cana-4511	49	10	a	a	DET
cana-4511	49	11	hetenyi	hetenyi	PROPN
cana-4511	49	12	foundation	foundation	NOUN
cana-4511	49	13	which	which	PRON
cana-4511	49	14	is	be	AUX
cana-4511	49	15	widely	widely	ADV
cana-4511	49	16	accepted	accept	VERB
cana-4511	49	17	and	and	CCONJ
cana-4511	49	18	used	use	VERB
cana-4511	49	19	by	by	ADP
cana-4511	49	20	many	many	ADJ
cana-4511	49	21	researchers	researcher	NOUN
cana-4511	49	22	.	.	PUNCT
cana-4511	50	1	sandeep	sandeep	PROPN
cana-4511	50	2	shinde	shinde	PROPN
cana-4511	50	3	et	et	PROPN
cana-4511	50	4	.	.	PUNCT
cana-4511	51	1	al	al	PROPN
cana-4511	51	2	.	.	PROPN
cana-4511	52	1	(	(	PUNCT
cana-4511	52	2	2020	2020	NUM
cana-4511	52	3	)	)	PUNCT
cana-4511	53	1	[	[	X
cana-4511	53	2	1	1	X
cana-4511	53	3	]	]	PUNCT
cana-4511	53	4	presented	present	VERB
cana-4511	53	5	a	a	DET
cana-4511	53	6	compact	compact	ADJ
cana-4511	53	7	review	review	NOUN
cana-4511	53	8	–	–	PUNCT
cana-4511	53	9	mathematical	mathematical	ADJ
cana-4511	53	10	modelling	modelling	NOUN
cana-4511	53	11	of	of	ADP
cana-4511	53	12	rail	rail	NOUN
cana-4511	53	13	track	track	NOUN
cana-4511	53	14	stating	state	VERB
cana-4511	53	15	the	the	DET
cana-4511	53	16	different	different	ADJ
cana-4511	53	17	analytical	analytical	ADJ
cana-4511	53	18	and	and	CCONJ
cana-4511	53	19	numerical	numerical	PROPN
cana-4511	53	20	mathematical	mathematical	PROPN
cana-4511	53	21	modelling	modelling	NOUN
cana-4511	53	22	of	of	ADP
cana-4511	53	23	rail	rail	NOUN
cana-4511	53	24	track	track	NOUN
cana-4511	53	25	that	that	PRON
cana-4511	53	26	gave	give	VERB
cana-4511	53	27	a	a	DET
cana-4511	53	28	good	good	ADJ
cana-4511	53	29	overview	overview	NOUN
cana-4511	53	30	of	of	ADP
cana-4511	53	31	the	the	DET
cana-4511	53	32	rail	rail	NOUN
cana-4511	53	33	modelling	modelling	NOUN
cana-4511	53	34	.	.	PUNCT
cana-4511	54	1	following	follow	VERB
cana-4511	54	2	is	be	AUX
cana-4511	54	3	the	the	DET
cana-4511	54	4	mathematical	mathematical	ADJ
cana-4511	54	5	modelling	modelling	NOUN
cana-4511	54	6	of	of	ADP
cana-4511	54	7	train	train	NOUN
cana-4511	54	8	–	–	PUNCT
cana-4511	54	9	track	track	VERB
cana-4511	54	10	dynamic	dynamic	ADJ
cana-4511	54	11	interaction	interaction	NOUN
cana-4511	54	12	are	be	AUX
cana-4511	54	13	discussed	discuss	VERB
cana-4511	54	14	in	in	ADP
cana-4511	54	15	railway	railway	NOUN
cana-4511	54	16	track	track	NOUN
cana-4511	54	17	dynamics	dynamic	NOUN
cana-4511	54	18	a	a	DET
cana-4511	54	19	survey	survey	NOUN
cana-4511	54	20	by	by	ADP
cana-4511	54	21	tore	tore	ADJ
cana-4511	54	22	dahlberg	dahlberg	PROPN
cana-4511	55	1	[	[	X
cana-4511	55	2	2	2	NUM
cana-4511	55	3	]	]	PUNCT
cana-4511	55	4	,	,	PUNCT
cana-4511	55	5	as	as	SCONJ
cana-4511	55	6	follows	follow	VERB
cana-4511	55	7	:	:	PUNCT
cana-4511	55	8	a	a	X
cana-4511	55	9	)	)	PUNCT
cana-4511	55	10	beam	beam	NOUN
cana-4511	55	11	(	(	PUNCT
cana-4511	55	12	rail	rail	NOUN
cana-4511	55	13	)	)	PUNCT
cana-4511	55	14	on	on	ADP
cana-4511	55	15	continuous	continuous	ADJ
cana-4511	55	16	elastic	elastic	ADJ
cana-4511	55	17	foundation	foundation	NOUN
cana-4511	55	18	b	b	NOUN
cana-4511	55	19	)	)	PUNCT
cana-4511	55	20	vehicle	vehicle	NOUN
cana-4511	55	21	–	–	PUNCT
cana-4511	55	22	bridge	bridge	NOUN
cana-4511	55	23	interaction	interaction	NOUN
cana-4511	55	24	(	(	PUNCT
cana-4511	55	25	moving	move	VERB
cana-4511	55	26	mass	mass	NOUN
cana-4511	55	27	on	on	ADP
cana-4511	55	28	simply	simply	ADV
cana-4511	55	29	supported	support	VERB
cana-4511	55	30	beam	beam	NOUN
cana-4511	55	31	)	)	PUNCT
cana-4511	55	32	c	c	NOUN
cana-4511	55	33	)	)	PUNCT
cana-4511	55	34	beam	beam	NOUN
cana-4511	55	35	(	(	PUNCT
cana-4511	55	36	rail	rail	NOUN
cana-4511	55	37	)	)	PUNCT
cana-4511	55	38	on	on	ADP
cana-4511	55	39	discrete	discrete	ADJ
cana-4511	55	40	supports	support	NOUN
cana-4511	55	41	communications	communication	NOUN
cana-4511	55	42	on	on	ADP
cana-4511	55	43	applied	apply	VERB
cana-4511	55	44	nonlinear	nonlinear	ADJ
cana-4511	55	45	analysis	analysis	NOUN
cana-4511	55	46	issn	issn	NOUN
cana-4511	55	47	:	:	PUNCT
cana-4511	55	48	1074	1074	NUM
cana-4511	55	49	-	-	PUNCT
cana-4511	55	50	133x	133x	NUM
cana-4511	55	51	vol	vol	NOUN
cana-4511	55	52	32	32	NUM
cana-4511	55	53	no	no	NOUN
cana-4511	55	54	.	.	PUNCT
cana-4511	56	1	9s	9s	NUM
cana-4511	56	2	(	(	PUNCT
cana-4511	56	3	2025	2025	NUM
cana-4511	56	4	)	)	PUNCT
cana-4511	56	5	2260	2260	NUM
cana-4511	56	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4511	56	7	d	d	X
cana-4511	56	8	)	)	PUNCT
cana-4511	56	9	beam	beam	NOUN
cana-4511	56	10	(	(	PUNCT
cana-4511	56	11	rail	rail	NOUN
cana-4511	56	12	)	)	PUNCT
cana-4511	56	13	on	on	ADP
cana-4511	56	14	discrete	discrete	ADJ
cana-4511	56	15	supports	support	NOUN
cana-4511	56	16	including	include	VERB
cana-4511	56	17	ballast	ballast	NOUN
cana-4511	56	18	model	model	NOUN
cana-4511	56	19	and	and	CCONJ
cana-4511	56	20	e	e	NOUN
cana-4511	56	21	)	)	PUNCT
cana-4511	56	22	beam	beam	NOUN
cana-4511	56	23	(	(	PUNCT
cana-4511	56	24	rail	rail	NOUN
cana-4511	56	25	)	)	PUNCT
cana-4511	56	26	on	on	ADP
cana-4511	56	27	sleepers	sleeper	NOUN
cana-4511	56	28	embedded	embed	VERB
cana-4511	56	29	in	in	ADP
cana-4511	56	30	continuum	continuum	PROPN
cana-4511	56	31	,	,	PUNCT
cana-4511	56	32	including	include	VERB
cana-4511	56	33	3	3	NUM
cana-4511	56	34	-	-	SYM
cana-4511	56	35	d	d	NOUN
cana-4511	56	36	fem	fem	NOUN
cana-4511	56	37	models	model	NOUN
cana-4511	56	38	2	2	NUM
cana-4511	56	39	.	.	PUNCT
cana-4511	57	1	boef	boef	PROPN
cana-4511	57	2	as	as	ADP
cana-4511	57	3	continuously	continuously	ADV
cana-4511	57	4	supported	support	VERB
cana-4511	57	5	models	model	NOUN
cana-4511	57	6	:	:	PUNCT
cana-4511	57	7	the	the	DET
cana-4511	57	8	rail	rail	NOUN
cana-4511	57	9	as	as	ADP
cana-4511	57	10	a	a	DET
cana-4511	57	11	beam	beam	NOUN
cana-4511	57	12	on	on	ADP
cana-4511	57	13	elastic	elastic	ADJ
cana-4511	57	14	foundation	foundation	NOUN
cana-4511	57	15	(	(	PUNCT
cana-4511	57	16	boef	boef	PROPN
cana-4511	57	17	)	)	PUNCT
cana-4511	57	18	can	can	AUX
cana-4511	57	19	be	be	AUX
cana-4511	57	20	modeled	model	VERB
cana-4511	57	21	using	use	VERB
cana-4511	57	22	either	either	CCONJ
cana-4511	57	23	the	the	DET
cana-4511	57	24	classical	classical	ADJ
cana-4511	57	25	beam	beam	NOUN
cana-4511	57	26	theories	theory	NOUN
cana-4511	57	27	using	use	VERB
cana-4511	57	28	euler	euler	NOUN
cana-4511	57	29	-	-	PUNCT
cana-4511	57	30	bernoulli	bernoulli	PROPN
cana-4511	57	31	beam	beam	NOUN
cana-4511	57	32	theory	theory	NOUN
cana-4511	57	33	or	or	CCONJ
cana-4511	57	34	the	the	DET
cana-4511	57	35	rayleigh	rayleigh	PROPN
cana-4511	57	36	-	-	PUNCT
cana-4511	57	37	timoshenko	timoshenko	PROPN
cana-4511	57	38	beam	beam	NOUN
cana-4511	57	39	theory	theory	NOUN
cana-4511	57	40	.	.	PUNCT
cana-4511	58	1	the	the	DET
cana-4511	58	2	rayleigh	rayleigh	PROPN
cana-4511	58	3	-	-	PUNCT
cana-4511	58	4	timoshenko	timoshenko	NOUN
cana-4511	58	5	accounts	account	NOUN
cana-4511	58	6	for	for	ADP
cana-4511	58	7	the	the	DET
cana-4511	58	8	rotary	rotary	NOUN
cana-4511	58	9	inertia	inertia	NOUN
cana-4511	58	10	of	of	ADP
cana-4511	58	11	the	the	DET
cana-4511	58	12	beam	beam	NOUN
cana-4511	58	13	's	's	PART
cana-4511	58	14	cross	cross	NOUN
cana-4511	58	15	-	-	NOUN
cana-4511	58	16	section	section	NOUN
cana-4511	58	17	and	and	CCONJ
cana-4511	58	18	the	the	DET
cana-4511	58	19	beam	beam	NOUN
cana-4511	58	20	deformations	deformation	NOUN
cana-4511	58	21	caused	cause	VERB
cana-4511	58	22	by	by	ADP
cana-4511	58	23	shear	shear	NOUN
cana-4511	58	24	forces	force	NOUN
cana-4511	58	25	.	.	PUNCT
cana-4511	59	1	additionally	additionally	ADV
cana-4511	59	2	,	,	PUNCT
cana-4511	59	3	a	a	DET
cana-4511	59	4	longitudinal	longitudinal	ADJ
cana-4511	59	5	(	(	PUNCT
cana-4511	59	6	axial	axial	ADJ
cana-4511	59	7	)	)	PUNCT
cana-4511	59	8	force	force	NOUN
cana-4511	59	9	in	in	ADP
cana-4511	59	10	the	the	DET
cana-4511	59	11	rail	rail	NOUN
cana-4511	59	12	can	can	AUX
cana-4511	59	13	be	be	AUX
cana-4511	59	14	incorporated	incorporate	VERB
cana-4511	59	15	into	into	ADP
cana-4511	59	16	these	these	DET
cana-4511	59	17	models	model	NOUN
cana-4511	59	18	.	.	PUNCT
cana-4511	60	1	the	the	DET
cana-4511	60	2	boef	boef	PROPN
cana-4511	60	3	model	model	NOUN
cana-4511	60	4	,	,	PUNCT
cana-4511	60	5	first	first	ADV
cana-4511	60	6	introduced	introduce	VERB
cana-4511	60	7	by	by	ADP
cana-4511	60	8	winkler	winkler	X
cana-4511	60	9	(	(	PUNCT
cana-4511	60	10	1867	1867	NUM
cana-4511	60	11	)	)	PUNCT
cana-4511	60	12	for	for	ADP
cana-4511	60	13	railway	railway	NOUN
cana-4511	60	14	system	system	NOUN
cana-4511	60	15	modeling	modeling	NOUN
cana-4511	60	16	,	,	PUNCT
cana-4511	60	17	uses	use	VERB
cana-4511	60	18	the	the	DET
cana-4511	60	19	euler	euler	VERB
cana-4511	60	20	-	-	PUNCT
cana-4511	60	21	bernoulli	bernoulli	PROPN
cana-4511	60	22	beam	beam	NOUN
cana-4511	60	23	theory	theory	NOUN
cana-4511	60	24	to	to	PART
cana-4511	60	25	describe	describe	VERB
cana-4511	60	26	an	an	DET
cana-4511	60	27	infinitely	infinitely	ADV
cana-4511	60	28	long	long	ADJ
cana-4511	60	29	rail	rail	NOUN
cana-4511	60	30	beam	beam	NOUN
cana-4511	60	31	resting	rest	VERB
cana-4511	60	32	on	on	ADP
cana-4511	60	33	a	a	DET
cana-4511	60	34	uniform	uniform	ADJ
cana-4511	60	35	elastic	elastic	ADJ
cana-4511	60	36	foundation	foundation	NOUN
cana-4511	60	37	.	.	PUNCT
cana-4511	61	1	figure	figure	VERB
cana-4511	61	2	2	2	NUM
cana-4511	61	3	:	:	PUNCT
cana-4511	61	4	boef	boef	NOUN
cana-4511	61	5	figure	figure	NOUN
cana-4511	61	6	3	3	NUM
cana-4511	61	7	:	:	PUNCT
cana-4511	61	8	boef	boef	NOUN
cana-4511	61	9	with	with	ADP
cana-4511	61	10	point	point	NOUN
cana-4511	61	11	load	load	NOUN
cana-4511	61	12	2.1	2.1	NUM
cana-4511	61	13	.	.	PUNCT
cana-4511	62	1	continuously	continuously	ADV
cana-4511	62	2	supported	support	VERB
cana-4511	62	3	models	model	NOUN
cana-4511	62	4	in	in	ADP
cana-4511	62	5	this	this	DET
cana-4511	62	6	model	model	NOUN
cana-4511	62	7	,	,	PUNCT
cana-4511	62	8	the	the	DET
cana-4511	62	9	rail	rail	NOUN
cana-4511	62	10	is	be	AUX
cana-4511	62	11	treated	treat	VERB
cana-4511	62	12	as	as	ADP
cana-4511	62	13	a	a	DET
cana-4511	62	14	beam	beam	NOUN
cana-4511	62	15	with	with	ADP
cana-4511	62	16	bending	bend	VERB
cana-4511	62	17	stiffness	stiffness	NOUN
cana-4511	62	18	(	(	PUNCT
cana-4511	62	19	ei	ei	NOUN
cana-4511	62	20	)	)	PUNCT
cana-4511	62	21	supported	support	VERB
cana-4511	62	22	by	by	ADP
cana-4511	62	23	a	a	DET
cana-4511	62	24	continuous	continuous	ADJ
cana-4511	62	25	elastic	elastic	ADJ
cana-4511	62	26	foundation	foundation	NOUN
cana-4511	62	27	(	(	PUNCT
cana-4511	62	28	figure	figure	NOUN
cana-4511	62	29	2	2	NUM
cana-4511	62	30	)	)	PUNCT
cana-4511	62	31	,	,	PUNCT
cana-4511	62	32	which	which	PRON
cana-4511	62	33	represents	represent	VERB
cana-4511	62	34	all	all	DET
cana-4511	62	35	track	track	NOUN
cana-4511	62	36	components	component	NOUN
cana-4511	62	37	and	and	CCONJ
cana-4511	62	38	is	be	AUX
cana-4511	62	39	modeled	model	VERB
cana-4511	62	40	using	use	VERB
cana-4511	62	41	evenly	evenly	ADV
cana-4511	62	42	distributed	distribute	VERB
cana-4511	62	43	linear	linear	ADJ
cana-4511	62	44	spring	spring	NOUN
cana-4511	62	45	stiffness	stiffness	NOUN
cana-4511	62	46	.	.	PUNCT
cana-4511	63	1	the	the	DET
cana-4511	63	2	distributed	distribute	VERB
cana-4511	63	3	force	force	NOUN
cana-4511	63	4	supporting	support	VERB
cana-4511	63	5	the	the	DET
cana-4511	63	6	beam	beam	NOUN
cana-4511	63	7	is	be	AUX
cana-4511	63	8	directly	directly	ADV
cana-4511	63	9	proportional	proportional	ADJ
cana-4511	63	10	to	to	ADP
cana-4511	63	11	the	the	DET
cana-4511	63	12	beam	beam	NOUN
cana-4511	63	13	's	's	PART
cana-4511	63	14	deflection	deflection	NOUN
cana-4511	63	15	.	.	PUNCT
cana-4511	64	1	this	this	DET
cana-4511	64	2	approach	approach	NOUN
cana-4511	64	3	allows	allow	VERB
cana-4511	64	4	the	the	DET
cana-4511	64	5	calculation	calculation	NOUN
cana-4511	64	6	of	of	ADP
cana-4511	64	7	rail	rail	NOUN
cana-4511	64	8	deflection	deflection	NOUN
cana-4511	64	9	and	and	CCONJ
cana-4511	64	10	bending	bend	VERB
cana-4511	64	11	moment	moment	NOUN
cana-4511	64	12	under	under	ADP
cana-4511	64	13	a	a	DET
cana-4511	64	14	moving	move	VERB
cana-4511	64	15	load	load	NOUN
cana-4511	64	16	.	.	PUNCT
cana-4511	65	1	beam	beam	NOUN
cana-4511	65	2	on	on	ADP
cana-4511	65	3	elastic	elastic	ADJ
cana-4511	65	4	foundation	foundation	NOUN
cana-4511	65	5	loaded	load	VERB
cana-4511	65	6	with	with	ADP
cana-4511	65	7	a	a	DET
cana-4511	65	8	point	point	NOUN
cana-4511	65	9	force	force	NOUN
cana-4511	65	10	p	p	NOUN
cana-4511	65	11	from	from	ADP
cana-4511	65	12	the	the	DET
cana-4511	65	13	wheel	wheel	NOUN
cana-4511	65	14	.	.	PUNCT
cana-4511	66	1	the	the	DET
cana-4511	66	2	thick	thick	ADJ
cana-4511	66	3	line	line	NOUN
cana-4511	66	4	indicates	indicate	VERB
cana-4511	66	5	beam	beam	NOUN
cana-4511	66	6	(	(	PUNCT
cana-4511	66	7	rail	rail	NOUN
cana-4511	66	8	)	)	PUNCT
cana-4511	66	9	deflection	deflection	NOUN
cana-4511	66	10	due	due	ADP
cana-4511	66	11	to	to	ADP
cana-4511	66	12	the	the	DET
cana-4511	66	13	wheel	wheel	NOUN
cana-4511	66	14	load	load	NOUN
cana-4511	66	15	p	p	X
cana-4511	66	16	,	,	PUNCT
cana-4511	66	17	(	(	PUNCT
cana-4511	66	18	figure	figure	NOUN
cana-4511	66	19	3	3	NUM
cana-4511	66	20	)	)	PUNCT
cana-4511	66	21	this	this	PRON
cana-4511	66	22	is	be	AUX
cana-4511	66	23	the	the	DET
cana-4511	66	24	simplest	simple	ADJ
cana-4511	66	25	track	track	NOUN
cana-4511	66	26	model	model	NOUN
cana-4511	66	27	and	and	CCONJ
cana-4511	66	28	is	be	AUX
cana-4511	66	29	still	still	ADV
cana-4511	66	30	in	in	ADP
cana-4511	66	31	use	use	NOUN
cana-4511	66	32	for	for	ADP
cana-4511	66	33	easy	easy	ADJ
cana-4511	66	34	and	and	CCONJ
cana-4511	66	35	quick	quick	ADJ
cana-4511	66	36	track	track	NOUN
cana-4511	66	37	deflection	deflection	NOUN
cana-4511	66	38	calculations	calculation	NOUN
cana-4511	66	39	for	for	ADP
cana-4511	66	40	track	track	NOUN
cana-4511	66	41	design	design	NOUN
cana-4511	66	42	and	and	CCONJ
cana-4511	66	43	analysis	analysis	NOUN
cana-4511	66	44	purposes	purpose	NOUN
cana-4511	66	45	.	.	PUNCT
cana-4511	67	1	the	the	DET
cana-4511	67	2	vertical	vertical	ADJ
cana-4511	67	3	deflection	deflection	PROPN
cana-4511	67	4	y	y	PROPN
cana-4511	67	5	,	,	PUNCT
cana-4511	67	6	for	for	ADP
cana-4511	67	7	a	a	DET
cana-4511	67	8	given	give	VERB
cana-4511	67	9	point	point	NOUN
cana-4511	67	10	load	load	NOUN
cana-4511	67	11	p	p	NOUN
cana-4511	67	12	as	as	ADP
cana-4511	67	13	a	a	DET
cana-4511	67	14	function	function	NOUN
cana-4511	67	15	of	of	ADP
cana-4511	67	16	the	the	DET
cana-4511	67	17	distance	distance	NOUN
cana-4511	67	18	from	from	ADP
cana-4511	67	19	the	the	DET
cana-4511	67	20	load	load	NOUN
cana-4511	67	21	x	x	NOUN
cana-4511	67	22	,	,	PUNCT
cana-4511	67	23	is	be	AUX
cana-4511	67	24	:	:	PUNCT
cana-4511	67	25	𝑦(𝑥	𝑦(𝑥	X
cana-4511	67	26	)	)	PUNCT
cana-4511	67	27	=	=	SYM
cana-4511	68	1	−	−	NOUN
cana-4511	68	2	𝑃	𝑃	NOUN
cana-4511	68	3	.	.	PUNCT
cana-4511	69	1	𝛽	𝛽	NOUN
cana-4511	69	2	2	2	NUM
cana-4511	69	3	𝑢	𝑢	NOUN
cana-4511	69	4	𝑒−	𝑒−	NOUN
cana-4511	69	5	𝛽	𝛽	NOUN
cana-4511	69	6	𝑥	𝑥	NOUN
cana-4511	69	7	[	[	X
cana-4511	69	8	cos(𝛽𝑥	cos(𝛽𝑥	NOUN
cana-4511	69	9	)	)	PUNCT
cana-4511	69	10	+	+	NUM
cana-4511	69	11	sin(𝛽𝑥	sin(𝛽𝑥	NOUN
cana-4511	69	12	)	)	PUNCT
cana-4511	69	13	]	]	PUNCT
cana-4511	69	14	–	–	PUNCT
cana-4511	69	15	(	(	PUNCT
cana-4511	69	16	1	1	X
cana-4511	69	17	)	)	PUNCT
cana-4511	69	18	the	the	DET
cana-4511	69	19	bending	bend	VERB
cana-4511	69	20	moment	moment	NOUN
cana-4511	69	21	is	be	AUX
cana-4511	69	22	𝑀	𝑀	PROPN
cana-4511	69	23	=	=	PUNCT
cana-4511	69	24	−	−	NOUN
cana-4511	70	1	𝑃	𝑃	NOUN
cana-4511	70	2	4	4	NUM
cana-4511	70	3	𝛽	𝛽	NOUN
cana-4511	70	4	𝑒−	𝑒−	NOUN
cana-4511	70	5	𝛽	𝛽	NOUN
cana-4511	70	6	𝑥	𝑥	NOUN
cana-4511	70	7	[	[	X
cana-4511	70	8	cos(𝛽𝑥	cos(𝛽𝑥	NOUN
cana-4511	70	9	)	)	PUNCT
cana-4511	70	10	−	−	NOUN
cana-4511	70	11	sin(𝛽𝑥	sin(𝛽𝑥	NOUN
cana-4511	70	12	)	)	PUNCT
cana-4511	70	13	]	]	PUNCT
cana-4511	70	14	–	–	PUNCT
cana-4511	70	15	(	(	PUNCT
cana-4511	70	16	2	2	X
cana-4511	70	17	)	)	PUNCT
cana-4511	70	18	where	where	SCONJ
cana-4511	70	19	,	,	PUNCT
cana-4511	70	20	𝛽	𝛽	NOUN
cana-4511	70	21	=	=	SYM
cana-4511	70	22	(	(	PUNCT
cana-4511	70	23	𝑢	𝑢	PROPN
cana-4511	70	24	4	4	NUM
cana-4511	70	25	𝐸	𝐸	NOUN
cana-4511	70	26	𝐼	𝐼	PROPN
cana-4511	70	27	)	)	PUNCT
cana-4511	70	28	1/4	1/4	NUM
cana-4511	70	29	–	–	PUNCT
cana-4511	70	30	(	(	PUNCT
cana-4511	70	31	3	3	X
cana-4511	70	32	)	)	PUNCT
cana-4511	70	33	p	p	NOUN
cana-4511	70	34	is	be	AUX
cana-4511	70	35	the	the	DET
cana-4511	70	36	load	load	NOUN
cana-4511	70	37	x	x	PUNCT
cana-4511	70	38	is	be	AUX
cana-4511	70	39	the	the	DET
cana-4511	70	40	distance	distance	NOUN
cana-4511	70	41	along	along	ADP
cana-4511	70	42	the	the	DET
cana-4511	70	43	track	track	NOUN
cana-4511	70	44	e	e	NOUN
cana-4511	70	45	is	be	AUX
cana-4511	70	46	the	the	DET
cana-4511	70	47	young	young	ADJ
cana-4511	70	48	’s	’s	PART
cana-4511	70	49	modulus	modulus	NOUN
cana-4511	70	50	of	of	ADP
cana-4511	70	51	elasticity	elasticity	NOUN
cana-4511	70	52	of	of	ADP
cana-4511	70	53	the	the	DET
cana-4511	70	54	rail	rail	NOUN
cana-4511	70	55	steel	steel	NOUN
cana-4511	70	56	(	(	PUNCT
cana-4511	70	57	beam	beam	NOUN
cana-4511	70	58	)	)	PUNCT
cana-4511	70	59	and	and	CCONJ
cana-4511	70	60	iz	iz	ADJ
cana-4511	70	61	is	be	AUX
cana-4511	70	62	the	the	DET
cana-4511	70	63	second	second	ADJ
cana-4511	70	64	moment	moment	NOUN
cana-4511	70	65	of	of	ADP
cana-4511	70	66	area	area	NOUN
cana-4511	70	67	of	of	ADP
cana-4511	70	68	the	the	DET
cana-4511	70	69	beam	beam	NOUN
cana-4511	70	70	.	.	PUNCT
cana-4511	71	1	communications	communication	NOUN
cana-4511	71	2	on	on	ADP
cana-4511	71	3	applied	apply	VERB
cana-4511	71	4	nonlinear	nonlinear	ADJ
cana-4511	71	5	analysis	analysis	NOUN
cana-4511	71	6	issn	issn	NOUN
cana-4511	71	7	:	:	PUNCT
cana-4511	71	8	1074	1074	NUM
cana-4511	71	9	-	-	PUNCT
cana-4511	71	10	133x	133x	NUM
cana-4511	71	11	vol	vol	NOUN
cana-4511	71	12	32	32	NUM
cana-4511	71	13	no	no	NOUN
cana-4511	71	14	.	.	PUNCT
cana-4511	72	1	9s	9s	NUM
cana-4511	72	2	(	(	PUNCT
cana-4511	72	3	2025	2025	NUM
cana-4511	72	4	)	)	PUNCT
cana-4511	72	5	2261	2261	NUM
cana-4511	73	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4511	73	2	u	u	NOUN
cana-4511	73	3	is	be	AUX
cana-4511	73	4	the	the	DET
cana-4511	73	5	estimate	estimate	NOUN
cana-4511	73	6	of	of	ADP
cana-4511	73	7	the	the	DET
cana-4511	73	8	track	track	NOUN
cana-4511	73	9	modulus	modulus	NOUN
cana-4511	73	10	using	use	VERB
cana-4511	73	11	this	this	DET
cana-4511	73	12	model	model	NOUN
cana-4511	73	13	,	,	PUNCT
cana-4511	73	14	it	it	PRON
cana-4511	73	15	is	be	AUX
cana-4511	73	16	also	also	ADV
cana-4511	73	17	possible	possible	ADJ
cana-4511	73	18	to	to	PART
cana-4511	73	19	calculate	calculate	VERB
cana-4511	73	20	,	,	PUNCT
cana-4511	73	21	for	for	ADP
cana-4511	73	22	instance	instance	NOUN
cana-4511	73	23	,	,	PUNCT
cana-4511	73	24	the	the	DET
cana-4511	73	25	individual	individual	ADJ
cana-4511	73	26	sleeper	sleeper	ADJ
cana-4511	73	27	reaction	reaction	NOUN
cana-4511	73	28	by	by	ADP
cana-4511	73	29	multiplying	multiply	VERB
cana-4511	73	30	the	the	DET
cana-4511	73	31	sleeper	sleeper	NOUN
cana-4511	73	32	's	's	PART
cana-4511	73	33	support	support	NOUN
cana-4511	73	34	stiffness	stiffness	NOUN
cana-4511	73	35	by	by	ADP
cana-4511	73	36	its	its	PRON
cana-4511	73	37	deflection	deflection	NOUN
cana-4511	73	38	,	,	PUNCT
cana-4511	73	39	as	as	SCONJ
cana-4511	73	40	the	the	DET
cana-4511	73	41	load	load	NOUN
cana-4511	73	42	is	be	AUX
cana-4511	73	43	proportional	proportional	ADJ
cana-4511	73	44	to	to	ADP
cana-4511	73	45	the	the	DET
cana-4511	73	46	deflection	deflection	NOUN
cana-4511	73	47	.	.	PUNCT
cana-4511	74	1	the	the	DET
cana-4511	74	2	load	load	NOUN
cana-4511	74	3	is	be	AUX
cana-4511	74	4	typically	typically	ADV
cana-4511	74	5	distributed	distribute	VERB
cana-4511	74	6	among	among	ADP
cana-4511	74	7	three	three	NUM
cana-4511	74	8	sleepers	sleeper	NOUN
cana-4511	74	9	,	,	PUNCT
cana-4511	74	10	with	with	ADP
cana-4511	74	11	the	the	DET
cana-4511	74	12	sleeper	sleeper	NOUN
cana-4511	74	13	directly	directly	ADV
cana-4511	74	14	beneath	beneath	ADP
cana-4511	74	15	the	the	DET
cana-4511	74	16	load	load	NOUN
cana-4511	74	17	bearing	bear	VERB
cana-4511	74	18	40	40	NUM
cana-4511	74	19	-	-	SYM
cana-4511	74	20	50	50	NUM
cana-4511	74	21	%	%	NOUN
cana-4511	74	22	of	of	ADP
cana-4511	74	23	the	the	DET
cana-4511	74	24	axle	axle	NOUN
cana-4511	74	25	load	load	NOUN
cana-4511	74	26	.	.	PUNCT
cana-4511	75	1	originally	originally	ADV
cana-4511	75	2	developed	develop	VERB
cana-4511	75	3	for	for	ADP
cana-4511	75	4	longitudinally	longitudinally	ADJ
cana-4511	75	5	sleeper	sleeper	ADJ
cana-4511	75	6	tracks	track	NOUN
cana-4511	75	7	,	,	PUNCT
cana-4511	75	8	the	the	DET
cana-4511	75	9	boef	boef	NOUN
cana-4511	75	10	method	method	NOUN
cana-4511	75	11	has	have	AUX
cana-4511	75	12	since	since	ADV
cana-4511	75	13	been	be	AUX
cana-4511	75	14	adapted	adapt	VERB
cana-4511	75	15	for	for	ADP
cana-4511	75	16	transversely	transversely	ADJ
cana-4511	75	17	sleeper	sleeper	ADJ
cana-4511	75	18	tracks	track	NOUN
cana-4511	75	19	.	.	PUNCT
cana-4511	76	1	it	it	PRON
cana-4511	76	2	is	be	AUX
cana-4511	76	3	widely	widely	ADV
cana-4511	76	4	regarded	regard	VERB
cana-4511	76	5	as	as	ADP
cana-4511	76	6	the	the	DET
cana-4511	76	7	most	most	ADV
cana-4511	76	8	reliable	reliable	ADJ
cana-4511	76	9	method	method	NOUN
cana-4511	76	10	for	for	ADP
cana-4511	76	11	analysing	analyse	VERB
cana-4511	76	12	rail	rail	NOUN
cana-4511	76	13	foot	foot	NOUN
cana-4511	76	14	stress	stress	NOUN
cana-4511	76	15	and	and	CCONJ
cana-4511	76	16	rail	rail	NOUN
cana-4511	76	17	deflections	deflection	NOUN
cana-4511	76	18	.	.	PUNCT
cana-4511	77	1	however	however	ADV
cana-4511	77	2	,	,	PUNCT
cana-4511	77	3	this	this	DET
cana-4511	77	4	model	model	NOUN
cana-4511	77	5	is	be	AUX
cana-4511	77	6	only	only	ADV
cana-4511	77	7	suitable	suitable	ADJ
cana-4511	77	8	for	for	ADP
cana-4511	77	9	static	static	ADJ
cana-4511	77	10	loading	loading	NOUN
cana-4511	77	11	of	of	ADP
cana-4511	77	12	tracks	track	NOUN
cana-4511	77	13	supported	support	VERB
cana-4511	77	14	by	by	ADP
cana-4511	77	15	soft	soft	ADJ
cana-4511	77	16	materials	material	NOUN
cana-4511	77	17	,	,	PUNCT
cana-4511	77	18	such	such	ADJ
cana-4511	77	19	as	as	ADP
cana-4511	77	20	wooden	wooden	ADJ
cana-4511	77	21	sleepers	sleeper	NOUN
cana-4511	77	22	,	,	PUNCT
cana-4511	77	23	as	as	SCONJ
cana-4511	77	24	it	it	PRON
cana-4511	77	25	does	do	AUX
cana-4511	77	26	not	not	PART
cana-4511	77	27	account	account	VERB
cana-4511	77	28	for	for	ADP
cana-4511	77	29	dynamic	dynamic	ADJ
cana-4511	77	30	effects	effect	NOUN
cana-4511	77	31	due	due	ADJ
cana-4511	77	32	to	to	ADP
cana-4511	77	33	the	the	DET
cana-4511	77	34	absence	absence	NOUN
cana-4511	77	35	of	of	ADP
cana-4511	77	36	mass	mass	PROPN
cana-4511	77	37	.	.	PUNCT
cana-4511	78	1	notably	notably	ADV
cana-4511	78	2	,	,	PUNCT
cana-4511	78	3	the	the	DET
cana-4511	78	4	pinned	pin	VERB
cana-4511	78	5	-	-	PUNCT
cana-4511	78	6	pinned	pin	VERB
cana-4511	78	7	frequency	frequency	NOUN
cana-4511	78	8	of	of	ADP
cana-4511	78	9	approximately	approximately	ADV
cana-4511	78	10	800	800	NUM
cana-4511	78	11	-	-	SYM
cana-4511	78	12	1000	1000	NUM
cana-4511	78	13	hz	hz	NOUN
cana-4511	78	14	,	,	PUNCT
cana-4511	78	15	where	where	SCONJ
cana-4511	78	16	the	the	DET
cana-4511	78	17	rail	rail	NOUN
cana-4511	78	18	vibrates	vibrate	VERB
cana-4511	78	19	with	with	ADP
cana-4511	78	20	nodes	node	NOUN
cana-4511	78	21	at	at	ADP
cana-4511	78	22	the	the	DET
cana-4511	78	23	sleepers	sleeper	NOUN
cana-4511	78	24	,	,	PUNCT
cana-4511	78	25	is	be	AUX
cana-4511	78	26	not	not	PART
cana-4511	78	27	captured	capture	VERB
cana-4511	78	28	by	by	ADP
cana-4511	78	29	this	this	DET
cana-4511	78	30	model	model	NOUN
cana-4511	78	31	.	.	PUNCT
cana-4511	79	1	to	to	PART
cana-4511	79	2	better	well	ADV
cana-4511	79	3	simulate	simulate	VERB
cana-4511	79	4	the	the	DET
cana-4511	79	5	function	function	NOUN
cana-4511	79	6	of	of	ADP
cana-4511	79	7	rail	rail	NOUN
cana-4511	79	8	pads	pad	NOUN
cana-4511	79	9	,	,	PUNCT
cana-4511	79	10	sleepers	sleeper	NOUN
cana-4511	79	11	,	,	PUNCT
cana-4511	79	12	and	and	CCONJ
cana-4511	79	13	ballast	ballast	NOUN
cana-4511	79	14	,	,	PUNCT
cana-4511	79	15	multiple	multiple	ADJ
cana-4511	79	16	continuous	continuous	ADJ
cana-4511	79	17	layers	layer	NOUN
cana-4511	79	18	must	must	AUX
cana-4511	79	19	replace	replace	VERB
cana-4511	79	20	the	the	DET
cana-4511	79	21	single	single	ADJ
cana-4511	79	22	layer	layer	NOUN
cana-4511	79	23	shown	show	VERB
cana-4511	79	24	in	in	ADP
cana-4511	79	25	figure	figure	NOUN
cana-4511	79	26	2	2	NUM
cana-4511	79	27	and	and	CCONJ
cana-4511	79	28	figure	figure	VERB
cana-4511	79	29	3	3	NUM
cana-4511	79	30	.	.	PUNCT
cana-4511	80	1	a	a	DET
cana-4511	80	2	continuous	continuous	ADJ
cana-4511	80	3	model	model	NOUN
cana-4511	80	4	like	like	ADP
cana-4511	80	5	this	this	PRON
cana-4511	80	6	was	be	AUX
cana-4511	80	7	used	use	VERB
cana-4511	80	8	to	to	PART
cana-4511	80	9	examine	examine	VERB
cana-4511	80	10	the	the	DET
cana-4511	80	11	behaviour	behaviour	NOUN
cana-4511	80	12	of	of	ADP
cana-4511	80	13	track	track	NOUN
cana-4511	80	14	support	support	NOUN
cana-4511	80	15	.	.	PUNCT
cana-4511	81	1	the	the	DET
cana-4511	81	2	impact	impact	NOUN
cana-4511	81	3	of	of	ADP
cana-4511	81	4	changes	change	NOUN
cana-4511	81	5	in	in	ADP
cana-4511	81	6	the	the	DET
cana-4511	81	7	support	support	NOUN
cana-4511	81	8	,	,	PUNCT
cana-4511	81	9	particularly	particularly	ADV
cana-4511	81	10	rail	rail	NOUN
cana-4511	81	11	pads	pad	NOUN
cana-4511	81	12	,	,	PUNCT
cana-4511	81	13	was	be	AUX
cana-4511	81	14	studied	study	VERB
cana-4511	81	15	,	,	PUNCT
cana-4511	81	16	revealing	reveal	VERB
cana-4511	81	17	that	that	SCONJ
cana-4511	81	18	softer	soft	ADJ
cana-4511	81	19	rail	rail	NOUN
cana-4511	81	20	pads	pad	NOUN
cana-4511	81	21	more	more	ADV
cana-4511	81	22	effectively	effectively	ADV
cana-4511	81	23	isolate	isolate	VERB
cana-4511	81	24	sleepers	sleeper	NOUN
cana-4511	81	25	and	and	CCONJ
cana-4511	81	26	significantly	significantly	ADV
cana-4511	81	27	reduce	reduce	VERB
cana-4511	81	28	sleeper	sleeper	ADJ
cana-4511	81	29	strains	strain	NOUN
cana-4511	81	30	.	.	PUNCT
cana-4511	82	1	while	while	SCONJ
cana-4511	82	2	the	the	DET
cana-4511	82	3	basic	basic	ADJ
cana-4511	82	4	boef	boef	PROPN
cana-4511	82	5	model	model	NOUN
cana-4511	82	6	,	,	PUNCT
cana-4511	82	7	which	which	PRON
cana-4511	82	8	represents	represent	VERB
cana-4511	82	9	the	the	DET
cana-4511	82	10	track	track	NOUN
cana-4511	82	11	with	with	ADP
cana-4511	82	12	a	a	DET
cana-4511	82	13	single	single	ADJ
cana-4511	82	14	moving	moving	NOUN
cana-4511	82	15	load	load	NOUN
cana-4511	82	16	,	,	PUNCT
cana-4511	82	17	provides	provide	VERB
cana-4511	82	18	an	an	DET
cana-4511	82	19	initial	initial	ADJ
cana-4511	82	20	understanding	understanding	NOUN
cana-4511	82	21	of	of	ADP
cana-4511	82	22	track	track	NOUN
cana-4511	82	23	vibrations	vibration	NOUN
cana-4511	82	24	at	at	ADP
cana-4511	82	25	steady	steady	ADJ
cana-4511	82	26	state	state	NOUN
cana-4511	82	27	,	,	PUNCT
cana-4511	82	28	it	it	PRON
cana-4511	82	29	oversimplifies	oversimplify	VERB
cana-4511	82	30	track	track	NOUN
cana-4511	82	31	behaviour	behaviour	NOUN
cana-4511	82	32	under	under	ADP
cana-4511	82	33	high	high	ADJ
cana-4511	82	34	-	-	PUNCT
cana-4511	82	35	frequency	frequency	NOUN
cana-4511	82	36	impacts	impact	NOUN
cana-4511	82	37	typical	typical	ADJ
cana-4511	82	38	of	of	ADP
cana-4511	82	39	modern	modern	ADJ
cana-4511	82	40	railway	railway	NOUN
cana-4511	82	41	systems	system	NOUN
cana-4511	82	42	.	.	PUNCT
cana-4511	83	1	several	several	ADJ
cana-4511	83	2	limitations	limitation	NOUN
cana-4511	83	3	arise	arise	VERB
cana-4511	83	4	from	from	ADP
cana-4511	83	5	using	use	VERB
cana-4511	83	6	the	the	DET
cana-4511	83	7	boef	boef	NOUN
cana-4511	83	8	model	model	NOUN
cana-4511	83	9	in	in	ADP
cana-4511	83	10	such	such	ADJ
cana-4511	83	11	scenarios	scenario	NOUN
cana-4511	83	12	.	.	PUNCT
cana-4511	84	1	2.2	2.2	NUM
cana-4511	84	2	.	.	PUNCT
cana-4511	84	3	rail	rail	NOUN
cana-4511	84	4	as	as	SCONJ
cana-4511	84	5	discretely	discretely	ADV
cana-4511	84	6	supported	support	VERB
cana-4511	84	7	beam	beam	NOUN
cana-4511	84	8	models	model	NOUN
cana-4511	84	9	modern	modern	ADJ
cana-4511	84	10	railway	railway	NOUN
cana-4511	84	11	tracks	track	NOUN
cana-4511	84	12	are	be	AUX
cana-4511	84	13	typically	typically	ADV
cana-4511	84	14	composed	compose	VERB
cana-4511	84	15	of	of	ADP
cana-4511	84	16	precisely	precisely	ADV
cana-4511	84	17	positioned	position	VERB
cana-4511	84	18	continuous	continuous	ADJ
cana-4511	84	19	welded	weld	VERB
cana-4511	84	20	rails	rail	NOUN
cana-4511	84	21	and	and	CCONJ
cana-4511	84	22	sleepers	sleeper	NOUN
cana-4511	84	23	,	,	PUNCT
cana-4511	84	24	which	which	PRON
cana-4511	84	25	simplifies	simplify	VERB
cana-4511	84	26	the	the	DET
cana-4511	84	27	mechanical	mechanical	ADJ
cana-4511	84	28	modelling	modelling	NOUN
cana-4511	84	29	of	of	ADP
cana-4511	84	30	the	the	DET
cana-4511	84	31	track	track	NOUN
cana-4511	84	32	as	as	ADP
cana-4511	84	33	two	two	NUM
cana-4511	84	34	parallel	parallel	ADJ
cana-4511	84	35	beams	beam	NOUN
cana-4511	84	36	supported	support	VERB
cana-4511	84	37	by	by	ADP
cana-4511	84	38	sleepers	sleeper	NOUN
cana-4511	84	39	at	at	ADP
cana-4511	84	40	uniform	uniform	ADJ
cana-4511	84	41	intervals	interval	NOUN
cana-4511	84	42	(	(	PUNCT
cana-4511	84	43	figure	figure	NOUN
cana-4511	84	44	4	4	NUM
cana-4511	84	45	)	)	PUNCT
cana-4511	84	46	.	.	PUNCT
cana-4511	85	1	discretely	discretely	ADV
cana-4511	85	2	supported	support	VERB
cana-4511	85	3	models	model	NOUN
cana-4511	85	4	share	share	VERB
cana-4511	85	5	similarities	similarity	NOUN
cana-4511	85	6	with	with	ADP
cana-4511	85	7	continuously	continuously	ADV
cana-4511	85	8	supported	support	VERB
cana-4511	85	9	models	model	NOUN
cana-4511	85	10	,	,	PUNCT
cana-4511	85	11	but	but	CCONJ
cana-4511	85	12	with	with	ADP
cana-4511	85	13	key	key	ADJ
cana-4511	85	14	differences	difference	NOUN
cana-4511	85	15	:	:	PUNCT
cana-4511	85	16	they	they	PRON
cana-4511	85	17	account	account	VERB
cana-4511	85	18	for	for	ADP
cana-4511	85	19	the	the	DET
cana-4511	85	20	discrete	discrete	ADJ
cana-4511	85	21	spacing	spacing	NOUN
cana-4511	85	22	of	of	ADP
cana-4511	85	23	the	the	DET
cana-4511	85	24	sleepers	sleeper	NOUN
cana-4511	85	25	.	.	PUNCT
cana-4511	86	1	they	they	PRON
cana-4511	86	2	often	often	ADV
cana-4511	86	3	incorporate	incorporate	VERB
cana-4511	86	4	multiple	multiple	ADJ
cana-4511	86	5	layers	layer	NOUN
cana-4511	86	6	,	,	PUNCT
cana-4511	86	7	representing	represent	VERB
cana-4511	86	8	elements	element	NOUN
cana-4511	86	9	like	like	ADP
cana-4511	86	10	rail	rail	NOUN
cana-4511	86	11	pads	pad	NOUN
cana-4511	86	12	,	,	PUNCT
cana-4511	86	13	sleepers	sleeper	NOUN
cana-4511	86	14	,	,	PUNCT
cana-4511	86	15	ballast	ballast	NOUN
cana-4511	86	16	,	,	PUNCT
cana-4511	86	17	subballast	subballast	ADJ
cana-4511	86	18	,	,	PUNCT
cana-4511	86	19	and	and	CCONJ
cana-4511	86	20	subgrade	subgrade	NOUN
cana-4511	86	21	.	.	PUNCT
cana-4511	87	1	as	as	ADP
cana-4511	87	2	a	a	DET
cana-4511	87	3	result	result	NOUN
cana-4511	87	4	,	,	PUNCT
cana-4511	87	5	the	the	DET
cana-4511	87	6	rails	rail	NOUN
cana-4511	87	7	exhibit	exhibit	VERB
cana-4511	87	8	vibration	vibration	NOUN
cana-4511	87	9	modes	mode	NOUN
cana-4511	87	10	that	that	PRON
cana-4511	87	11	correspond	correspond	VERB
cana-4511	87	12	to	to	ADP
cana-4511	87	13	this	this	DET
cana-4511	87	14	discrete	discrete	ADJ
cana-4511	87	15	support	support	NOUN
cana-4511	87	16	structure	structure	NOUN
cana-4511	87	17	.	.	PUNCT
cana-4511	88	1	one	one	NUM
cana-4511	88	2	of	of	ADP
cana-4511	88	3	the	the	DET
cana-4511	88	4	most	most	ADV
cana-4511	88	5	significant	significant	ADJ
cana-4511	88	6	vibration	vibration	NOUN
cana-4511	88	7	modes	mode	NOUN
cana-4511	88	8	resembles	resemble	VERB
cana-4511	88	9	bending	bend	VERB
cana-4511	88	10	between	between	ADP
cana-4511	88	11	the	the	DET
cana-4511	88	12	discrete	discrete	ADJ
cana-4511	88	13	support	support	NOUN
cana-4511	88	14	points	point	NOUN
cana-4511	88	15	or	or	CCONJ
cana-4511	88	16	"	"	PUNCT
cana-4511	88	17	pins	pin	NOUN
cana-4511	88	18	,	,	PUNCT
cana-4511	88	19	"	"	PUNCT
cana-4511	88	20	where	where	SCONJ
cana-4511	88	21	the	the	DET
cana-4511	88	22	rail	rail	NOUN
cana-4511	88	23	vibrates	vibrate	VERB
cana-4511	88	24	with	with	ADP
cana-4511	88	25	nodes	node	NOUN
cana-4511	88	26	at	at	ADP
cana-4511	88	27	the	the	DET
cana-4511	88	28	sleeper	sleeper	ADJ
cana-4511	88	29	locations	location	NOUN
cana-4511	88	30	(	(	PUNCT
cana-4511	88	31	figure	figure	NOUN
cana-4511	88	32	4	4	NUM
cana-4511	88	33	)	)	PUNCT
cana-4511	88	34	.	.	PUNCT
cana-4511	89	1	with	with	ADP
cana-4511	89	2	certain	certain	ADJ
cana-4511	89	3	simplifying	simplifying	NOUN
cana-4511	89	4	assumptions	assumption	NOUN
cana-4511	89	5	,	,	PUNCT
cana-4511	89	6	this	this	DET
cana-4511	89	7	pin	pin	NOUN
cana-4511	89	8	-	-	PUNCT
cana-4511	89	9	pin	pin	NOUN
cana-4511	89	10	vibration	vibration	NOUN
cana-4511	89	11	resonance	resonance	NOUN
cana-4511	89	12	occurs	occur	VERB
cana-4511	89	13	at	at	ADP
cana-4511	89	14	a	a	DET
cana-4511	89	15	specific	specific	ADJ
cana-4511	89	16	frequency	frequency	NOUN
cana-4511	89	17	,	,	PUNCT
cana-4511	89	18	fpp	fpp	PROPN
cana-4511	89	19	,	,	PUNCT
cana-4511	89	20	can	can	AUX
cana-4511	89	21	be	be	AUX
cana-4511	89	22	calculated	calculate	VERB
cana-4511	89	23	as	as	SCONJ
cana-4511	89	24	follows	follow	VERB
cana-4511	89	25	𝒇𝒑𝒑	𝒇𝒑𝒑	NOUN
cana-4511	89	26	=	=	SYM
cana-4511	89	27	𝝅	𝝅	NOUN
cana-4511	89	28	𝟐𝒍𝟐	𝟐𝒍𝟐	NOUN
cana-4511	89	29	√	√	PROPN
cana-4511	90	1	𝑬𝑰	𝑬𝑰	PROPN
cana-4511	90	2	𝒎	𝒎	PROPN
cana-4511	90	3	–	–	PUNCT
cana-4511	90	4	(	(	PUNCT
cana-4511	90	5	4	4	X
cana-4511	90	6	)	)	PUNCT
cana-4511	91	1	where	where	SCONJ
cana-4511	91	2	i	i	PRON
cana-4511	91	3	:	:	PUNCT
cana-4511	91	4	distance	distance	NOUN
cana-4511	91	5	between	between	ADP
cana-4511	91	6	two	two	NUM
cana-4511	91	7	supports	support	NOUN
cana-4511	91	8	[	[	X
cana-4511	91	9	m	m	X
cana-4511	91	10	]	]	X
cana-4511	91	11	ei	ei	NOUN
cana-4511	91	12	:	:	PUNCT
cana-4511	91	13	bending	bend	VERB
cana-4511	91	14	stiffness	stiffness	NOUN
cana-4511	91	15	of	of	ADP
cana-4511	91	16	the	the	DET
cana-4511	91	17	rail	rail	NOUN
cana-4511	91	18	(	(	PUNCT
cana-4511	91	19	static	static	NOUN
cana-4511	91	20	)	)	PUNCT
cana-4511	92	1	[	[	X
cana-4511	92	2	nm2	nm2	X
cana-4511	92	3	]	]	X
cana-4511	92	4	m	m	VERB
cana-4511	92	5	:	:	PUNCT
cana-4511	92	6	mass	mass	NOUN
cana-4511	92	7	of	of	ADP
cana-4511	92	8	the	the	DET
cana-4511	92	9	rail	rail	NOUN
cana-4511	92	10	per	per	ADP
cana-4511	92	11	unit	unit	NOUN
cana-4511	92	12	length	length	NOUN
cana-4511	93	1	[	[	X
cana-4511	93	2	kg	kg	X
cana-4511	93	3	/	/	SYM
cana-4511	93	4	m	m	NOUN
cana-4511	93	5	]	]	X
cana-4511	93	6	communications	communication	NOUN
cana-4511	93	7	on	on	ADP
cana-4511	93	8	applied	apply	VERB
cana-4511	93	9	nonlinear	nonlinear	ADJ
cana-4511	93	10	analysis	analysis	NOUN
cana-4511	93	11	issn	issn	NOUN
cana-4511	93	12	:	:	PUNCT
cana-4511	93	13	1074	1074	NUM
cana-4511	93	14	-	-	PUNCT
cana-4511	93	15	133x	133x	NUM
cana-4511	93	16	vol	vol	NOUN
cana-4511	93	17	32	32	NUM
cana-4511	93	18	no	no	NOUN
cana-4511	93	19	.	.	PUNCT
cana-4511	94	1	9s	9s	NUM
cana-4511	94	2	(	(	PUNCT
cana-4511	94	3	2025	2025	NUM
cana-4511	94	4	)	)	PUNCT
cana-4511	94	5	2262	2262	NUM
cana-4511	94	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4511	95	1	this	this	DET
cana-4511	95	2	assumption	assumption	NOUN
cana-4511	95	3	is	be	AUX
cana-4511	95	4	based	base	VERB
cana-4511	95	5	on	on	ADP
cana-4511	95	6	an	an	DET
cana-4511	95	7	infinitely	infinitely	ADV
cana-4511	95	8	long	long	ADJ
cana-4511	95	9	beam	beam	NOUN
cana-4511	95	10	perfectly	perfectly	ADV
cana-4511	95	11	supported	support	VERB
cana-4511	95	12	at	at	ADP
cana-4511	95	13	small	small	ADJ
cana-4511	95	14	,	,	PUNCT
cana-4511	95	15	rigid	rigid	ADJ
cana-4511	95	16	points	point	NOUN
cana-4511	95	17	,	,	PUNCT
cana-4511	95	18	which	which	PRON
cana-4511	95	19	does	do	AUX
cana-4511	95	20	not	not	PART
cana-4511	95	21	accurately	accurately	ADV
cana-4511	95	22	reflect	reflect	VERB
cana-4511	95	23	reality	reality	NOUN
cana-4511	95	24	.	.	PUNCT
cana-4511	96	1	in	in	ADP
cana-4511	96	2	practice	practice	NOUN
cana-4511	96	3	,	,	PUNCT
cana-4511	96	4	the	the	DET
cana-4511	96	5	rail	rail	NOUN
cana-4511	96	6	rests	rest	VERB
cana-4511	96	7	elastically	elastically	ADV
cana-4511	96	8	on	on	ADP
cana-4511	96	9	the	the	DET
cana-4511	96	10	sleeper	sleeper	NOUN
cana-4511	96	11	with	with	ADP
cana-4511	96	12	an	an	DET
cana-4511	96	13	elastic	elastic	ADJ
cana-4511	96	14	rail	rail	NOUN
cana-4511	96	15	pad	pad	NOUN
cana-4511	96	16	in	in	ADP
cana-4511	96	17	between	between	ADP
cana-4511	96	18	,	,	PUNCT
cana-4511	96	19	and	and	CCONJ
cana-4511	96	20	the	the	DET
cana-4511	96	21	sleeper	sleeper	NOUN
cana-4511	96	22	itself	itself	PRON
cana-4511	96	23	is	be	AUX
cana-4511	96	24	seated	seat	VERB
cana-4511	96	25	elastically	elastically	ADV
cana-4511	96	26	within	within	ADP
cana-4511	96	27	the	the	DET
cana-4511	96	28	ballast	ballast	NOUN
cana-4511	96	29	.	.	PUNCT
cana-4511	97	1	these	these	DET
cana-4511	97	2	factors	factor	NOUN
cana-4511	97	3	,	,	PUNCT
cana-4511	97	4	along	along	ADP
cana-4511	97	5	with	with	ADP
cana-4511	97	6	other	other	ADJ
cana-4511	97	7	elements	element	NOUN
cana-4511	97	8	,	,	PUNCT
cana-4511	97	9	can	can	AUX
cana-4511	97	10	influence	influence	VERB
cana-4511	97	11	the	the	DET
cana-4511	97	12	pin	pin	NOUN
cana-4511	97	13	-	-	PUNCT
cana-4511	97	14	pin	pin	NOUN
cana-4511	97	15	resonance	resonance	NOUN
cana-4511	97	16	.	.	PUNCT
cana-4511	98	1	they	they	PRON
cana-4511	98	2	introduce	introduce	VERB
cana-4511	98	3	additional	additional	ADJ
cana-4511	98	4	significant	significant	ADJ
cana-4511	98	5	vertical	vertical	ADJ
cana-4511	98	6	resonances	resonance	NOUN
cana-4511	98	7	,	,	PUNCT
cana-4511	98	8	with	with	ADP
cana-4511	98	9	the	the	DET
cana-4511	98	10	three	three	NUM
cana-4511	98	11	most	most	ADV
cana-4511	98	12	dominant	dominant	ADJ
cana-4511	98	13	ones	one	NOUN
cana-4511	98	14	typically	typically	ADV
cana-4511	98	15	occurring	occur	VERB
cana-4511	98	16	between	between	ADP
cana-4511	98	17	30.0	30.0	NUM
cana-4511	98	18	hz	hz	VERB
cana-4511	98	19	and	and	CCONJ
cana-4511	98	20	2000.0	2000.0	NUM
cana-4511	98	21	hz	hz	VERB
cana-4511	98	22	in	in	ADP
cana-4511	98	23	most	most	ADJ
cana-4511	98	24	track	track	NOUN
cana-4511	98	25	structures	structure	NOUN
cana-4511	98	26	figure	figure	VERB
cana-4511	98	27	4	4	NUM
cana-4511	98	28	:	:	PUNCT
cana-4511	98	29	discretely	discretely	ADV
cana-4511	98	30	supported	support	VERB
cana-4511	98	31	rail	rail	NOUN
cana-4511	98	32	beam	beam	NOUN
cana-4511	98	33	the	the	DET
cana-4511	98	34	supports	support	NOUN
cana-4511	98	35	could	could	AUX
cana-4511	98	36	then	then	ADV
cana-4511	98	37	be	be	AUX
cana-4511	98	38	either	either	CCONJ
cana-4511	98	39	discrete	discrete	ADJ
cana-4511	98	40	spring	spring	NOUN
cana-4511	98	41	–	–	PUNCT
cana-4511	98	42	damper	damper	NOUN
cana-4511	98	43	systems	system	NOUN
cana-4511	98	44	or	or	CCONJ
cana-4511	98	45	spring	spring	NOUN
cana-4511	98	46	–	–	PUNCT
cana-4511	98	47	mass	mass	ADJ
cana-4511	98	48	–	–	PUNCT
cana-4511	98	49	spring	spring	NOUN
cana-4511	98	50	systems	system	NOUN
cana-4511	98	51	,	,	PUNCT
cana-4511	98	52	modelling	model	VERB
cana-4511	98	53	rail	rail	NOUN
cana-4511	98	54	pads	pad	NOUN
cana-4511	98	55	,	,	PUNCT
cana-4511	98	56	sleepers	sleeper	NOUN
cana-4511	98	57	and	and	CCONJ
cana-4511	98	58	ballast	ballast	NOUN
cana-4511	98	59	bed	bed	NOUN
cana-4511	98	60	.	.	PUNCT
cana-4511	99	1	the	the	DET
cana-4511	99	2	ballast	ballast	NOUN
cana-4511	99	3	and	and	CCONJ
cana-4511	99	4	subgrade	subgrade	NOUN
cana-4511	99	5	masses	masse	NOUN
cana-4511	99	6	influence	influence	VERB
cana-4511	99	7	each	each	DET
cana-4511	99	8	other	other	ADJ
cana-4511	99	9	,	,	PUNCT
cana-4511	99	10	indicating	indicate	VERB
cana-4511	99	11	that	that	SCONJ
cana-4511	99	12	a	a	DET
cana-4511	99	13	deflection	deflection	NOUN
cana-4511	99	14	at	at	ADP
cana-4511	99	15	one	one	NUM
cana-4511	99	16	point	point	NOUN
cana-4511	99	17	(	(	PUNCT
cana-4511	99	18	at	at	ADP
cana-4511	99	19	one	one	NUM
cana-4511	99	20	sleeper	sleeper	NOUN
cana-4511	99	21	)	)	PUNCT
cana-4511	99	22	will	will	AUX
cana-4511	99	23	influence	influence	VERB
cana-4511	99	24	the	the	DET
cana-4511	99	25	deflection	deflection	NOUN
cana-4511	99	26	at	at	ADP
cana-4511	99	27	the	the	DET
cana-4511	99	28	neighbouring	neighbouring	ADJ
cana-4511	99	29	sleepers	sleeper	NOUN
cana-4511	99	30	.	.	PUNCT
cana-4511	100	1	3	3	X
cana-4511	100	2	.	.	X
cana-4511	100	3	elastic	elastic	ADJ
cana-4511	100	4	beams	beam	NOUN
cana-4511	100	5	on	on	ADP
cana-4511	100	6	non	non	ADJ
cana-4511	100	7	-	-	ADJ
cana-4511	100	8	linear	linear	ADJ
cana-4511	100	9	foundations	foundation	NOUN
cana-4511	100	10	the	the	DET
cana-4511	100	11	analysis	analysis	NOUN
cana-4511	100	12	of	of	ADP
cana-4511	100	13	a	a	DET
cana-4511	100	14	linear	linear	ADJ
cana-4511	100	15	elastic	elastic	ADJ
cana-4511	100	16	beam	beam	NOUN
cana-4511	100	17	supported	support	VERB
cana-4511	100	18	on	on	ADP
cana-4511	100	19	a	a	DET
cana-4511	100	20	linear	linear	ADJ
cana-4511	100	21	elastic	elastic	ADJ
cana-4511	100	22	foundation	foundation	NOUN
cana-4511	100	23	and	and	CCONJ
cana-4511	100	24	subjected	subject	VERB
cana-4511	100	25	to	to	ADP
cana-4511	100	26	lateral	lateral	ADJ
cana-4511	100	27	loads	load	NOUN
cana-4511	100	28	has	have	AUX
cana-4511	100	29	been	be	AUX
cana-4511	100	30	accomplished	accomplish	VERB
cana-4511	100	31	by	by	ADP
cana-4511	100	32	many	many	ADJ
cana-4511	100	33	different	different	ADJ
cana-4511	100	34	techniques	technique	NOUN
cana-4511	100	35	[	[	X
cana-4511	100	36	2	2	NUM
cana-4511	100	37	,	,	PUNCT
cana-4511	100	38	3	3	NUM
cana-4511	100	39	]	]	PUNCT
cana-4511	100	40	.	.	PUNCT
cana-4511	101	1	the	the	DET
cana-4511	101	2	basic	basic	ADJ
cana-4511	101	3	differential	differential	NOUN
cana-4511	101	4	equation	equation	NOUN
cana-4511	101	5	describing	describe	VERB
cana-4511	101	6	the	the	DET
cana-4511	101	7	elastic	elastic	ADJ
cana-4511	101	8	deflection	deflection	NOUN
cana-4511	101	9	curve	curve	NOUN
cana-4511	101	10	of	of	ADP
cana-4511	101	11	a	a	DET
cana-4511	101	12	beam	beam	NOUN
cana-4511	101	13	on	on	ADP
cana-4511	101	14	a	a	DET
cana-4511	101	15	linear	linear	ADJ
cana-4511	101	16	elastic	elastic	ADJ
cana-4511	101	17	foundation	foundation	NOUN
cana-4511	101	18	,	,	PUNCT
cana-4511	101	19	considering	consider	VERB
cana-4511	101	20	only	only	ADJ
cana-4511	101	21	flexural	flexural	ADJ
cana-4511	101	22	deformations	deformation	NOUN
cana-4511	101	23	of	of	ADP
cana-4511	101	24	the	the	DET
cana-4511	101	25	beam	beam	NOUN
cana-4511	101	26	,	,	PUNCT
cana-4511	101	27	is	be	AUX
cana-4511	101	28	[	[	X
cana-4511	101	29	2	2	NUM
cana-4511	101	30	]	]	PUNCT
cana-4511	101	31	𝒅𝟐	𝒅𝟐	NOUN
cana-4511	101	32	𝒅𝒙𝟐	𝒅𝒙𝟐	NOUN
cana-4511	101	33	(	(	PUNCT
cana-4511	101	34	𝑬𝑰	𝑬𝑰	PROPN
cana-4511	101	35	𝒅𝟐𝒚	𝒅𝟐𝒚	NUM
cana-4511	101	36	𝒅𝒙𝟐	𝒅𝒙𝟐	NOUN
cana-4511	101	37	)	)	PUNCT
cana-4511	102	1	+	+	CCONJ
cana-4511	102	2	𝑷	𝑷	PROPN
cana-4511	102	3	𝒅𝟐𝒚	𝒅𝟐𝒚	NOUN
cana-4511	102	4	𝒅𝒙𝟐	𝒅𝒙𝟐	NOUN
cana-4511	103	1	+	+	X
cana-4511	104	1	𝑲𝒚	𝑲𝒚	PROPN
cana-4511	104	2	=	=	SYM
cana-4511	104	3	𝒘	𝒘	X
cana-4511	104	4	–	–	PUNCT
cana-4511	104	5	(	(	PUNCT
cana-4511	104	6	5	5	NUM
cana-4511	104	7	)	)	PUNCT
cana-4511	104	8	where	where	SCONJ
cana-4511	104	9	y	y	PROPN
cana-4511	104	10	defines	define	VERB
cana-4511	104	11	the	the	DET
cana-4511	104	12	deflection	deflection	NOUN
cana-4511	104	13	of	of	ADP
cana-4511	104	14	the	the	DET
cana-4511	104	15	beam	beam	NOUN
cana-4511	104	16	,	,	PUNCT
cana-4511	104	17	e	e	X
cana-4511	104	18	is	be	AUX
cana-4511	104	19	the	the	DET
cana-4511	104	20	modulus	modulus	NOUN
cana-4511	104	21	of	of	ADP
cana-4511	104	22	elasticity	elasticity	NOUN
cana-4511	104	23	of	of	ADP
cana-4511	104	24	the	the	DET
cana-4511	104	25	material	material	NOUN
cana-4511	104	26	of	of	ADP
cana-4511	104	27	construction	construction	NOUN
cana-4511	104	28	for	for	ADP
cana-4511	104	29	the	the	DET
cana-4511	104	30	beam	beam	NOUN
cana-4511	104	31	,	,	PUNCT
cana-4511	104	32	z	z	PROPN
cana-4511	104	33	is	be	AUX
cana-4511	104	34	the	the	DET
cana-4511	104	35	moment	moment	NOUN
cana-4511	104	36	of	of	ADP
cana-4511	104	37	inertia	inertia	NOUN
cana-4511	104	38	of	of	ADP
cana-4511	104	39	the	the	DET
cana-4511	104	40	cross	cross	NOUN
cana-4511	104	41	-	-	NOUN
cana-4511	104	42	section	section	NOUN
cana-4511	104	43	at	at	ADP
cana-4511	104	44	distance	distance	NOUN
cana-4511	104	45	x	x	X
cana-4511	104	46	,	,	PUNCT
cana-4511	104	47	p	p	PRON
cana-4511	104	48	is	be	AUX
cana-4511	104	49	the	the	DET
cana-4511	104	50	axial	axial	ADJ
cana-4511	104	51	load	load	NOUN
cana-4511	104	52	applied	apply	VERB
cana-4511	104	53	to	to	ADP
cana-4511	104	54	the	the	DET
cana-4511	104	55	beam	beam	NOUN
cana-4511	104	56	,	,	PUNCT
cana-4511	104	57	w	w	PROPN
cana-4511	104	58	is	be	AUX
cana-4511	104	59	the	the	DET
cana-4511	104	60	applied	apply	VERB
cana-4511	104	61	distributed	distribute	VERB
cana-4511	104	62	load	load	NOUN
cana-4511	104	63	and	and	CCONJ
cana-4511	104	64	k	k	PROPN
cana-4511	104	65	is	be	AUX
cana-4511	104	66	the	the	DET
cana-4511	104	67	foundation	foundation	NOUN
cana-4511	104	68	modulus	modulus	NOUN
cana-4511	104	69	.	.	PUNCT
cana-4511	105	1	the	the	DET
cana-4511	105	2	beam	beam	NOUN
cana-4511	105	3	may	may	AUX
cana-4511	105	4	have	have	VERB
cana-4511	105	5	a	a	DET
cana-4511	105	6	variable	variable	ADJ
cana-4511	105	7	cross	cross	NOUN
cana-4511	105	8	-	-	NOUN
cana-4511	105	9	section	section	NOUN
cana-4511	105	10	over	over	ADP
cana-4511	105	11	all	all	DET
cana-4511	105	12	or	or	CCONJ
cana-4511	105	13	any	any	PRON
cana-4511	105	14	portion	portion	NOUN
cana-4511	105	15	of	of	ADP
cana-4511	105	16	its	its	PRON
cana-4511	105	17	length	length	NOUN
cana-4511	105	18	;	;	PUNCT
cana-4511	105	19	thus	thus	ADV
cana-4511	105	20	,	,	PUNCT
cana-4511	105	21	z	z	NOUN
cana-4511	105	22	or	or	CCONJ
cana-4511	105	23	dz	dz	PROPN
cana-4511	105	24	/	/	SYM
cana-4511	105	25	dx	dx	PROPN
cana-4511	105	26	may	may	AUX
cana-4511	105	27	be	be	AUX
cana-4511	105	28	a	a	DET
cana-4511	105	29	discontinuous	discontinuous	ADJ
cana-4511	105	30	function	function	NOUN
cana-4511	105	31	.	.	PUNCT
cana-4511	106	1	the	the	DET
cana-4511	106	2	solution	solution	NOUN
cana-4511	106	3	of	of	ADP
cana-4511	106	4	eq	eq	PROPN
cana-4511	106	5	.	.	PUNCT
cana-4511	107	1	(	(	PUNCT
cana-4511	107	2	5	5	NUM
cana-4511	107	3	)	)	PUNCT
cana-4511	107	4	is	be	AUX
cana-4511	107	5	complicated	complicate	VERB
cana-4511	107	6	by	by	ADP
cana-4511	107	7	discontinuities	discontinuity	NOUN
cana-4511	107	8	in	in	ADP
cana-4511	107	9	the	the	DET
cana-4511	107	10	applied	apply	VERB
cana-4511	107	11	loads	load	NOUN
cana-4511	107	12	,	,	PUNCT
cana-4511	107	13	both	both	CCONJ
cana-4511	107	14	p	p	NOUN
cana-4511	107	15	and	and	CCONJ
cana-4511	107	16	w	w	PROPN
cana-4511	107	17	and	and	CCONJ
cana-4511	107	18	the	the	DET
cana-4511	107	19	foundation	foundation	NOUN
cana-4511	107	20	modulus	modulus	PROPN
cana-4511	107	21	k.	k.	PROPN
cana-4511	107	22	discontinuities	discontinuities	PROPN
cana-4511	107	23	in	in	ADP
cana-4511	107	24	the	the	DET
cana-4511	107	25	deflection	deflection	NOUN
cana-4511	107	26	curve	curve	NOUN
cana-4511	107	27	or	or	CCONJ
cana-4511	107	28	one	one	NUM
cana-4511	107	29	of	of	ADP
cana-4511	107	30	its	its	PRON
cana-4511	107	31	derivatives	derivative	NOUN
cana-4511	107	32	may	may	AUX
cana-4511	107	33	also	also	ADV
cana-4511	107	34	be	be	AUX
cana-4511	107	35	introduced	introduce	VERB
cana-4511	107	36	into	into	ADP
cana-4511	107	37	the	the	DET
cana-4511	107	38	problem	problem	NOUN
cana-4511	107	39	by	by	ADP
cana-4511	107	40	interior	interior	ADJ
cana-4511	107	41	support	support	NOUN
cana-4511	107	42	constraints	constraint	NOUN
cana-4511	107	43	or	or	CCONJ
cana-4511	107	44	special	special	ADJ
cana-4511	107	45	construction	construction	NOUN
cana-4511	107	46	constraints	constraint	NOUN
cana-4511	107	47	.	.	PUNCT
cana-4511	108	1	the	the	DET
cana-4511	108	2	problem	problem	NOUN
cana-4511	108	3	is	be	AUX
cana-4511	108	4	further	far	ADV
cana-4511	108	5	complicated	complicated	ADJ
cana-4511	108	6	if	if	SCONJ
cana-4511	108	7	the	the	DET
cana-4511	108	8	foundation	foundation	NOUN
cana-4511	108	9	supporting	support	VERB
cana-4511	108	10	the	the	DET
cana-4511	108	11	beam	beam	NOUN
cana-4511	108	12	behaves	behave	VERB
cana-4511	108	13	nonlinearly	nonlinearly	ADV
cana-4511	108	14	.	.	PUNCT
cana-4511	109	1	soil	soil	NOUN
cana-4511	109	2	is	be	AUX
cana-4511	109	3	not	not	PART
cana-4511	109	4	an	an	DET
cana-4511	109	5	linear	linear	ADJ
cana-4511	109	6	material	material	NOUN
cana-4511	109	7	and	and	CCONJ
cana-4511	109	8	to	to	PART
cana-4511	109	9	model	model	VERB
cana-4511	109	10	it	it	PRON
cana-4511	109	11	as	as	ADP
cana-4511	109	12	an	an	DET
cana-4511	109	13	linear	linear	ADJ
cana-4511	109	14	material	material	NOUN
cana-4511	109	15	could	could	AUX
cana-4511	109	16	lead	lead	VERB
cana-4511	109	17	to	to	ADP
cana-4511	109	18	considerable	considerable	ADJ
cana-4511	109	19	error	error	NOUN
cana-4511	109	20	in	in	ADP
cana-4511	109	21	an	an	DET
cana-4511	109	22	analysis	analysis	NOUN
cana-4511	109	23	.	.	PUNCT
cana-4511	110	1	soil	soil	NOUN
cana-4511	110	2	,	,	PUNCT
cana-4511	110	3	in	in	ADP
cana-4511	110	4	fact	fact	NOUN
cana-4511	110	5	,	,	PUNCT
cana-4511	110	6	has	have	VERB
cana-4511	110	7	a	a	DET
cana-4511	110	8	stress	stress	NOUN
cana-4511	110	9	-	-	PUNCT
cana-4511	110	10	strain	strain	NOUN
cana-4511	110	11	relationship	relationship	NOUN
cana-4511	110	12	that	that	PRON
cana-4511	110	13	has	have	AUX
cana-4511	110	14	been	be	AUX
cana-4511	110	15	described	describe	VERB
cana-4511	110	16	with	with	ADP
cana-4511	110	17	a	a	DET
cana-4511	110	18	hyperbolic	hyperbolic	ADJ
cana-4511	110	19	curve	curve	NOUN
cana-4511	110	20	[	[	X
cana-4511	110	21	3	3	NUM
cana-4511	110	22	]	]	PUNCT
cana-4511	110	23	;	;	PUNCT
cana-4511	110	24	a	a	DET
cana-4511	110	25	similar	similar	ADJ
cana-4511	110	26	load	load	NOUN
cana-4511	110	27	-	-	PUNCT
cana-4511	110	28	deflection	deflection	NOUN
cana-4511	110	29	relationship	relationship	NOUN
cana-4511	110	30	could	could	AUX
cana-4511	110	31	be	be	AUX
cana-4511	110	32	assumed	assume	VERB
cana-4511	110	33	to	to	PART
cana-4511	110	34	exist	exist	VERB
cana-4511	110	35	,	,	PUNCT
cana-4511	110	36	as	as	SCONJ
cana-4511	110	37	shown	show	VERB
cana-4511	110	38	in	in	ADP
cana-4511	110	39	fig	fig	NOUN
cana-4511	110	40	.	.	PUNCT
cana-4511	111	1	5	5	NUM
cana-4511	111	2	,	,	PUNCT
cana-4511	111	3	when	when	SCONJ
cana-4511	111	4	modelling	model	VERB
cana-4511	111	5	the	the	DET
cana-4511	111	6	reaction	reaction	NOUN
cana-4511	111	7	of	of	ADP
cana-4511	111	8	a	a	DET
cana-4511	111	9	soil	soil	NOUN
cana-4511	111	10	foundation	foundation	NOUN
cana-4511	111	11	.	.	PUNCT
cana-4511	112	1	the	the	DET
cana-4511	112	2	nonlinear	nonlinear	ADJ
cana-4511	112	3	load	load	NOUN
cana-4511	112	4	-	-	PUNCT
cana-4511	112	5	deflection	deflection	NOUN
cana-4511	112	6	relationship	relationship	NOUN
cana-4511	112	7	for	for	ADP
cana-4511	112	8	a	a	DET
cana-4511	112	9	soil	soil	NOUN
cana-4511	112	10	foundation	foundation	NOUN
cana-4511	112	11	can	can	AUX
cana-4511	112	12	be	be	AUX
cana-4511	112	13	approximated	approximate	VERB
cana-4511	112	14	with	with	ADP
cana-4511	112	15	a	a	DET
cana-4511	112	16	bilinear	bilinear	NOUN
cana-4511	112	17	curve	curve	NOUN
cana-4511	112	18	as	as	SCONJ
cana-4511	112	19	illustrated	illustrate	VERB
cana-4511	112	20	in	in	ADP
cana-4511	112	21	fig	fig	NOUN
cana-4511	112	22	.	.	PUNCT
cana-4511	113	1	6	6	NUM
cana-4511	113	2	.	.	X
cana-4511	113	3	hence	hence	ADV
cana-4511	113	4	,	,	PUNCT
cana-4511	113	5	the	the	DET
cana-4511	113	6	foundation	foundation	NOUN
cana-4511	113	7	modulus	modulus	NOUN
cana-4511	113	8	,	,	PUNCT
cana-4511	113	9	k	k	NOUN
cana-4511	113	10	,	,	PUNCT
cana-4511	113	11	of	of	ADP
cana-4511	113	12	eq	eq	NOUN
cana-4511	113	13	.	.	PUNCT
cana-4511	113	14	communications	communication	NOUN
cana-4511	113	15	on	on	ADP
cana-4511	113	16	applied	apply	VERB
cana-4511	113	17	nonlinear	nonlinear	ADJ
cana-4511	113	18	analysis	analysis	NOUN
cana-4511	113	19	issn	issn	NOUN
cana-4511	113	20	:	:	PUNCT
cana-4511	113	21	1074	1074	NUM
cana-4511	113	22	-	-	PUNCT
cana-4511	113	23	133x	133x	NUM
cana-4511	113	24	vol	vol	NOUN
cana-4511	113	25	32	32	NUM
cana-4511	113	26	no	no	NOUN
cana-4511	113	27	.	.	PUNCT
cana-4511	114	1	9s	9s	NUM
cana-4511	114	2	(	(	PUNCT
cana-4511	114	3	2025	2025	NUM
cana-4511	114	4	)	)	PUNCT
cana-4511	114	5	2263	2263	NUM
cana-4511	114	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4511	114	7	(	(	PUNCT
cana-4511	114	8	1	1	NUM
cana-4511	114	9	)	)	PUNCT
cana-4511	114	10	becomes	become	VERB
cana-4511	114	11	a	a	DET
cana-4511	114	12	nonlinear	nonlinear	ADJ
cana-4511	114	13	coefficient	coefficient	NOUN
cana-4511	114	14	.	.	PUNCT
cana-4511	115	1	it	it	PRON
cana-4511	115	2	is	be	AUX
cana-4511	115	3	the	the	DET
cana-4511	115	4	purpose	purpose	NOUN
cana-4511	115	5	of	of	ADP
cana-4511	115	6	this	this	DET
cana-4511	115	7	paper	paper	NOUN
cana-4511	115	8	to	to	PART
cana-4511	115	9	review	review	VERB
cana-4511	115	10	a	a	DET
cana-4511	115	11	numerical	numerical	ADJ
cana-4511	115	12	method	method	NOUN
cana-4511	115	13	that	that	PRON
cana-4511	115	14	can	can	AUX
cana-4511	115	15	be	be	AUX
cana-4511	115	16	used	use	VERB
cana-4511	115	17	to	to	PART
cana-4511	115	18	solve	solve	VERB
cana-4511	115	19	the	the	DET
cana-4511	115	20	higher	high	ADJ
cana-4511	115	21	order	order	NOUN
cana-4511	115	22	differential	differential	ADJ
cana-4511	115	23	equation	equation	NOUN
cana-4511	115	24	,	,	PUNCT
cana-4511	115	25	eq	eq	NOUN
cana-4511	115	26	.	.	PUNCT
cana-4511	116	1	(	(	PUNCT
cana-4511	116	2	5	5	NUM
cana-4511	116	3	)	)	PUNCT
cana-4511	116	4	,	,	PUNCT
cana-4511	116	5	and	and	CCONJ
cana-4511	116	6	to	to	PART
cana-4511	116	7	describe	describe	VERB
cana-4511	116	8	a	a	DET
cana-4511	116	9	technique	technique	NOUN
cana-4511	116	10	for	for	ADP
cana-4511	116	11	handling	handle	VERB
cana-4511	116	12	the	the	DET
cana-4511	116	13	nonlinear	nonlinear	ADJ
cana-4511	116	14	aspects	aspect	NOUN
cana-4511	116	15	of	of	ADP
cana-4511	116	16	the	the	DET
cana-4511	116	17	problem	problem	NOUN
cana-4511	116	18	which	which	PRON
cana-4511	116	19	provides	provide	VERB
cana-4511	116	20	for	for	ADP
cana-4511	116	21	rather	rather	ADV
cana-4511	116	22	quick	quick	ADJ
cana-4511	116	23	convergence	convergence	NOUN
cana-4511	116	24	of	of	ADP
cana-4511	116	25	the	the	DET
cana-4511	116	26	solution	solution	NOUN
cana-4511	116	27	.	.	PUNCT
cana-4511	117	1	figure	figure	VERB
cana-4511	117	2	5	5	NUM
cana-4511	117	3	:	:	PUNCT
cana-4511	117	4	approximation	approximation	NOUN
cana-4511	117	5	of	of	ADP
cana-4511	117	6	load	load	NOUN
cana-4511	117	7	–	–	PUNCT
cana-4511	117	8	deflection	deflection	NOUN
cana-4511	117	9	curve	curve	NOUN
cana-4511	117	10	;	;	PUNCT
cana-4511	117	11	figure	figure	VERB
cana-4511	117	12	6	6	NUM
cana-4511	117	13	:	:	PUNCT
cana-4511	117	14	free	free	ADJ
cana-4511	117	15	body	body	NOUN
cana-4511	117	16	diagram	diagram	NOUN
cana-4511	117	17	of	of	ADP
cana-4511	117	18	elastic	elastic	ADJ
cana-4511	117	19	beam	beam	NOUN
cana-4511	117	20	on	on	ADP
cana-4511	117	21	nonlinear	nonlinear	ADJ
cana-4511	117	22	foundation	foundation	PROPN
cana-4511	117	23	the	the	DET
cana-4511	117	24	midpoint	midpoint	NOUN
cana-4511	117	25	difference	difference	NOUN
cana-4511	117	26	method	method	NOUN
cana-4511	117	27	is	be	AUX
cana-4511	117	28	formulated	formulate	VERB
cana-4511	117	29	on	on	ADP
cana-4511	117	30	the	the	DET
cana-4511	117	31	concept	concept	NOUN
cana-4511	117	32	of	of	ADP
cana-4511	117	33	replacing	replace	VERB
cana-4511	117	34	the	the	DET
cana-4511	117	35	higher	high	ADJ
cana-4511	117	36	order	order	NOUN
cana-4511	117	37	differential	differential	ADJ
cana-4511	117	38	equation	equation	NOUN
cana-4511	117	39	with	with	ADP
cana-4511	117	40	a	a	DET
cana-4511	117	41	set	set	NOUN
cana-4511	117	42	of	of	ADP
cana-4511	117	43	first	first	ADJ
cana-4511	117	44	order	order	NOUN
cana-4511	117	45	differential	differential	ADJ
cana-4511	117	46	equations	equation	NOUN
cana-4511	117	47	.	.	PUNCT
cana-4511	118	1	in	in	ADP
cana-4511	118	2	the	the	DET
cana-4511	118	3	case	case	NOUN
cana-4511	118	4	of	of	ADP
cana-4511	118	5	eqn	eqn	PROPN
cana-4511	118	6	(	(	PUNCT
cana-4511	118	7	i	i	NOUN
cana-4511	118	8	)	)	PUNCT
cana-4511	118	9	,	,	PUNCT
cana-4511	118	10	it	it	PRON
cana-4511	118	11	can	can	AUX
cana-4511	118	12	be	be	AUX
cana-4511	118	13	replaced	replace	VERB
cana-4511	118	14	with	with	ADP
cana-4511	118	15	the	the	DET
cana-4511	118	16	following	follow	VERB
cana-4511	118	17	set	set	NOUN
cana-4511	118	18	of	of	ADP
cana-4511	118	19	four	four	NUM
cana-4511	118	20	first	first	ADJ
cana-4511	118	21	order	order	NOUN
cana-4511	118	22	differential	differential	ADJ
cana-4511	118	23	equations	equation	NOUN
cana-4511	118	24	:	:	PUNCT
cana-4511	118	25	𝒅	𝒅	PRON
cana-4511	118	26	𝒅𝒙	𝒅𝒙	X
cana-4511	118	27	[	[	PUNCT
cana-4511	118	28	𝒀𝟏	𝒀𝟏	PROPN
cana-4511	118	29	𝒀𝟐	𝒀𝟐	NOUN
cana-4511	118	30	𝒀𝟑	𝒀𝟑	PROPN
cana-4511	118	31	𝒀𝟒	𝒀𝟒	PROPN
cana-4511	118	32	]	]	PUNCT
cana-4511	118	33	=	=	PUNCT
cana-4511	118	34	[	[	PUNCT
cana-4511	118	35	𝟎	𝟎	NUM
cana-4511	118	36	𝟏	𝟏	NUM
cana-4511	118	37	𝟎	𝟎	NUM
cana-4511	118	38	𝟎	𝟎	NUM
cana-4511	118	39	𝟎	𝟎	NUM
cana-4511	118	40	𝟏	𝟏	NUM
cana-4511	118	41	𝑬𝑰⁄	𝑬𝑰⁄	NOUN
cana-4511	118	42	𝟎	𝟎	PROPN
cana-4511	118	43	−𝑲	−𝑲	PROPN
cana-4511	118	44	−𝑷	−𝑷	PROPN
cana-4511	118	45	𝟎	𝟎	PROPN
cana-4511	118	46	𝟎	𝟎	PROPN
cana-4511	118	47	𝟎	𝟎	NUM
cana-4511	118	48	𝟎	𝟎	NUM
cana-4511	118	49	𝟎	𝟎	NUM
cana-4511	118	50	𝟏	𝟏	NUM
cana-4511	118	51	𝟎	𝟎	PROPN
cana-4511	118	52	]	]	PUNCT
cana-4511	118	53	=	=	PUNCT
cana-4511	118	54	[	[	PUNCT
cana-4511	118	55	𝒀𝟏	𝒀𝟏	NOUN
cana-4511	118	56	𝒀𝟐	𝒀𝟐	VERB
cana-4511	118	57	𝒀𝟑	𝒀𝟑	NOUN
cana-4511	118	58	]	]	PUNCT
cana-4511	119	1	+	+	CCONJ
cana-4511	119	2	[	[	PUNCT
cana-4511	119	3	𝟎	𝟎	NUM
cana-4511	119	4	𝟎	𝟎	NUM
cana-4511	119	5	𝟎	𝟎	X
cana-4511	119	6	]	]	PUNCT
cana-4511	119	7	(	(	PUNCT
cana-4511	119	8	𝟔	𝟔	X
cana-4511	119	9	)	)	PUNCT
cana-4511	119	10	where	where	SCONJ
cana-4511	119	11	𝒀𝟏	𝒀𝟏	NOUN
cana-4511	119	12	=	=	SYM
cana-4511	119	13	𝑫𝒆𝒇𝒍𝒆𝒄𝒕𝒊𝒐𝒏	𝑫𝒆𝒇𝒍𝒆𝒄𝒕𝒊𝒐𝒏	PROPN
cana-4511	119	14	(	(	PUNCT
cana-4511	119	15	𝟕𝒂	𝟕𝒂	NOUN
cana-4511	119	16	)	)	PUNCT
cana-4511	119	17	𝒀𝟐	𝒀𝟐	NOUN
cana-4511	119	18	=	=	SYM
cana-4511	119	19	𝒅𝒚	𝒅𝒚	NOUN
cana-4511	119	20	𝒅𝒙	𝒅𝒙	ADP
cana-4511	119	21	=	=	PROPN
cana-4511	119	22	𝑺𝒍𝒐𝒑𝒆	𝑺𝒍𝒐𝒑𝒆	PROPN
cana-4511	119	23	(	(	PUNCT
cana-4511	119	24	𝟕𝒃	𝟕𝒃	NOUN
cana-4511	119	25	)	)	PUNCT
cana-4511	119	26	𝒀𝟑	𝒀𝟑	NOUN
cana-4511	119	27	=	=	SYM
cana-4511	119	28	𝑬𝑰	𝑬𝑰	PROPN
cana-4511	119	29	𝒅𝟐𝒚	𝒅𝟐𝒚	NOUN
cana-4511	119	30	𝒅𝒙𝟐	𝒅𝒙𝟐	NOUN
cana-4511	119	31	=	=	SYM
cana-4511	119	32	𝑩𝒆𝒏𝒅𝒊𝒏𝒈	𝑩𝒆𝒏𝒅𝒊𝒏𝒈	PROPN
cana-4511	119	33	𝑴𝒐𝒎𝒆𝒏𝒕	𝑴𝒐𝒎𝒆𝒏𝒕	PROPN
cana-4511	119	34	(	(	PUNCT
cana-4511	119	35	𝟕𝒄	𝟕𝒄	NOUN
cana-4511	119	36	)	)	PUNCT
cana-4511	119	37	𝒀𝟒	𝒀𝟒	NOUN
cana-4511	119	38	=	=	SYM
cana-4511	119	39	𝒅	𝒅	PRON
cana-4511	119	40	𝒅𝒙	𝒅𝒙	X
cana-4511	119	41	(	(	PUNCT
cana-4511	119	42	𝑬𝑰	𝑬𝑰	PROPN
cana-4511	119	43	𝒅𝟐𝒚	𝒅𝟐𝒚	NOUN
cana-4511	119	44	𝒅𝒙𝟐	𝒅𝒙𝟐	NOUN
cana-4511	119	45	)	)	PUNCT
cana-4511	120	1	+	+	CCONJ
cana-4511	120	2	𝑷	𝑷	NOUN
cana-4511	120	3	𝒅𝒚	𝒅𝒚	ADP
cana-4511	120	4	𝒅𝒙	𝒅𝒙	ADP
cana-4511	120	5	=	=	PROPN
cana-4511	120	6	𝑺𝒉𝒆𝒂𝒓	𝑺𝒉𝒆𝒂𝒓	PROPN
cana-4511	120	7	(	(	PUNCT
cana-4511	120	8	𝟕𝒅	𝟕𝒅	NOUN
cana-4511	120	9	)	)	PUNCT
cana-4511	120	10	the	the	DET
cana-4511	120	11	nonlinear	nonlinear	ADJ
cana-4511	120	12	nature	nature	NOUN
cana-4511	120	13	of	of	ADP
cana-4511	120	14	the	the	DET
cana-4511	120	15	problem	problem	NOUN
cana-4511	120	16	requires	require	VERB
cana-4511	120	17	that	that	SCONJ
cana-4511	120	18	an	an	DET
cana-4511	120	19	iterative	iterative	NOUN
cana-4511	120	20	approach	approach	NOUN
cana-4511	120	21	be	be	AUX
cana-4511	120	22	taken	take	VERB
cana-4511	120	23	.	.	PUNCT
cana-4511	121	1	using	use	VERB
cana-4511	121	2	the	the	DET
cana-4511	121	3	bilinear	bilinear	NOUN
cana-4511	121	4	curve	curve	NOUN
cana-4511	121	5	to	to	PART
cana-4511	121	6	model	model	VERB
cana-4511	121	7	the	the	DET
cana-4511	121	8	load	load	NOUN
cana-4511	121	9	-	-	PUNCT
cana-4511	121	10	displacement	displacement	ADJ
cana-4511	121	11	response	response	NOUN
cana-4511	121	12	of	of	ADP
cana-4511	121	13	the	the	DET
cana-4511	121	14	foundation	foundation	NOUN
cana-4511	121	15	.	.	PUNCT
cana-4511	122	1	all	all	DET
cana-4511	122	2	foundation	foundation	NOUN
cana-4511	122	3	springs	spring	NOUN
cana-4511	122	4	are	be	AUX
cana-4511	122	5	assumed	assume	VERB
cana-4511	122	6	to	to	PART
cana-4511	122	7	be	be	AUX
cana-4511	122	8	active	active	ADJ
cana-4511	122	9	and	and	CCONJ
cana-4511	122	10	to	to	PART
cana-4511	122	11	have	have	VERB
cana-4511	122	12	a	a	DET
cana-4511	122	13	stiffness	stiffness	NOUN
cana-4511	122	14	equal	equal	ADJ
cana-4511	122	15	to	to	ADP
cana-4511	122	16	the	the	DET
cana-4511	122	17	slope	slope	NOUN
cana-4511	122	18	,	,	PUNCT
cana-4511	122	19	&	&	CCONJ
cana-4511	122	20	of	of	ADP
cana-4511	122	21	the	the	DET
cana-4511	122	22	first	first	ADJ
cana-4511	122	23	segment	segment	NOUN
cana-4511	122	24	of	of	ADP
cana-4511	122	25	the	the	DET
cana-4511	122	26	load	load	NOUN
cana-4511	122	27	-	-	PUNCT
cana-4511	122	28	displacement	displacement	NOUN
cana-4511	122	29	communications	communication	NOUN
cana-4511	122	30	on	on	ADP
cana-4511	122	31	applied	apply	VERB
cana-4511	122	32	nonlinear	nonlinear	ADJ
cana-4511	122	33	analysis	analysis	NOUN
cana-4511	122	34	issn	issn	NOUN
cana-4511	122	35	:	:	PUNCT
cana-4511	122	36	1074	1074	NUM
cana-4511	122	37	-	-	PUNCT
cana-4511	122	38	133x	133x	NUM
cana-4511	122	39	vol	vol	NOUN
cana-4511	122	40	32	32	NUM
cana-4511	123	1	no	no	NOUN
cana-4511	123	2	.	.	PUNCT
cana-4511	124	1	9s	9s	NUM
cana-4511	124	2	(	(	PUNCT
cana-4511	124	3	2025	2025	NUM
cana-4511	124	4	)	)	PUNCT
cana-4511	124	5	2264	2264	NUM
cana-4511	124	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4511	124	7	relationship	relationship	NOUN
cana-4511	124	8	in	in	ADP
cana-4511	124	9	the	the	DET
cana-4511	124	10	first	first	ADJ
cana-4511	124	11	iteration	iteration	NOUN
cana-4511	124	12	of	of	ADP
cana-4511	124	13	the	the	DET
cana-4511	124	14	analysis	analysis	NOUN
cana-4511	124	15	.	.	PUNCT
cana-4511	125	1	once	once	SCONJ
cana-4511	125	2	the	the	DET
cana-4511	125	3	beam	beam	NOUN
cana-4511	125	4	has	have	AUX
cana-4511	125	5	been	be	AUX
cana-4511	125	6	analyzed	analyze	VERB
cana-4511	125	7	,	,	PUNCT
cana-4511	125	8	the	the	DET
cana-4511	125	9	displacement	displacement	NOUN
cana-4511	125	10	of	of	ADP
cana-4511	125	11	the	the	DET
cana-4511	125	12	midpoint	midpoint	NOUN
cana-4511	125	13	of	of	ADP
cana-4511	125	14	each	each	DET
cana-4511	125	15	real	real	ADJ
cana-4511	125	16	segment	segment	NOUN
cana-4511	125	17	attached	attach	VERB
cana-4511	125	18	to	to	ADP
cana-4511	125	19	a	a	DET
cana-4511	125	20	foundation	foundation	NOUN
cana-4511	125	21	spring	spring	NOUN
cana-4511	125	22	is	be	AUX
cana-4511	125	23	checked	check	VERB
cana-4511	125	24	to	to	PART
cana-4511	125	25	determine	determine	VERB
cana-4511	125	26	(	(	PUNCT
cana-4511	125	27	a	a	X
cana-4511	125	28	)	)	PUNCT
cana-4511	125	29	if	if	SCONJ
cana-4511	125	30	the	the	DET
cana-4511	125	31	spring	spring	NOUN
cana-4511	125	32	is	be	AUX
cana-4511	125	33	in	in	ADP
cana-4511	125	34	tension	tension	NOUN
cana-4511	125	35	(	(	PUNCT
cana-4511	125	36	positive	positive	ADJ
cana-4511	125	37	deflection	deflection	NOUN
cana-4511	125	38	)	)	PUNCT
cana-4511	125	39	or	or	CCONJ
cana-4511	125	40	(	(	PUNCT
cana-4511	125	41	b	b	X
cana-4511	125	42	)	)	PUNCT
cana-4511	125	43	if	if	SCONJ
cana-4511	125	44	the	the	DET
cana-4511	125	45	displacement	displacement	NOUN
cana-4511	125	46	of	of	ADP
cana-4511	125	47	the	the	DET
cana-4511	125	48	spring	spring	NOUN
cana-4511	125	49	has	have	AUX
cana-4511	125	50	exceeded	exceed	VERB
cana-4511	125	51	the	the	DET
cana-4511	125	52	elastic	elastic	ADJ
cana-4511	125	53	displacement	displacement	NOUN
cana-4511	126	1	a	a	PRON
cana-4511	126	2	,	,	PUNCT
cana-4511	126	3	if	if	SCONJ
cana-4511	126	4	the	the	DET
cana-4511	126	5	spring	spring	NOUN
cana-4511	126	6	is	be	AUX
cana-4511	126	7	in	in	ADP
cana-4511	126	8	tension	tension	NOUN
cana-4511	126	9	,	,	PUNCT
cana-4511	126	10	the	the	DET
cana-4511	126	11	beam	beam	NOUN
cana-4511	126	12	has	have	AUX
cana-4511	126	13	tried	try	VERB
cana-4511	126	14	to	to	PART
cana-4511	126	15	lift	lift	VERB
cana-4511	126	16	off	off	ADP
cana-4511	126	17	of	of	ADP
cana-4511	126	18	the	the	DET
cana-4511	126	19	foundation	foundation	NOUN
cana-4511	126	20	:	:	PUNCT
cana-4511	126	21	hence	hence	ADV
cana-4511	126	22	,	,	PUNCT
cana-4511	126	23	the	the	DET
cana-4511	126	24	spring	spring	NOUN
cana-4511	126	25	stiffness	stiffness	NOUN
cana-4511	126	26	is	be	AUX
cana-4511	126	27	set	set	VERB
cana-4511	126	28	to	to	ADP
cana-4511	126	29	zero	zero	NUM
cana-4511	126	30	for	for	ADP
cana-4511	126	31	the	the	DET
cana-4511	126	32	next	next	ADJ
cana-4511	126	33	iteration	iteration	NOUN
cana-4511	126	34	.	.	PUNCT
cana-4511	127	1	if	if	SCONJ
cana-4511	127	2	the	the	DET
cana-4511	127	3	spring	spring	NOUN
cana-4511	127	4	displacement	displacement	NOUN
cana-4511	127	5	has	have	AUX
cana-4511	127	6	exceeded	exceed	VERB
cana-4511	127	7	the	the	DET
cana-4511	127	8	elastic	elastic	ADJ
cana-4511	127	9	displacement	displacement	NOUN
cana-4511	127	10	∇_e	∇_e	PROPN
cana-4511	127	11	,	,	PUNCT
cana-4511	127	12	a	a	DET
cana-4511	127	13	new	new	ADJ
cana-4511	127	14	spring	spring	NOUN
cana-4511	127	15	stiffness	stiffness	NOUN
cana-4511	127	16	is	be	AUX
cana-4511	127	17	assumed	assume	VERB
cana-4511	127	18	.	.	PUNCT
cana-4511	128	1	using	use	VERB
cana-4511	128	2	the	the	DET
cana-4511	128	3	new	new	ADJ
cana-4511	128	4	stiffnesses	stiffness	NOUN
cana-4511	128	5	for	for	ADP
cana-4511	128	6	those	those	DET
cana-4511	128	7	foundation	foundation	NOUN
cana-4511	128	8	springs	spring	NOUN
cana-4511	128	9	that	that	PRON
cana-4511	128	10	had	have	VERB
cana-4511	128	11	to	to	PART
cana-4511	128	12	be	be	AUX
cana-4511	128	13	modified	modify	VERB
cana-4511	128	14	,	,	PUNCT
cana-4511	128	15	a	a	DET
cana-4511	128	16	second	second	ADJ
cana-4511	128	17	analysis	analysis	NOUN
cana-4511	128	18	is	be	AUX
cana-4511	128	19	made	make	VERB
cana-4511	128	20	.	.	PUNCT
cana-4511	129	1	once	once	ADV
cana-4511	129	2	again	again	ADV
cana-4511	129	3	the	the	DET
cana-4511	129	4	midpoint	midpoint	NOUN
cana-4511	129	5	displacements	displacement	NOUN
cana-4511	129	6	are	be	AUX
cana-4511	129	7	checked	check	VERB
cana-4511	129	8	to	to	PART
cana-4511	129	9	determine	determine	VERB
cana-4511	129	10	(	(	PUNCT
cana-4511	129	11	a	a	X
cana-4511	129	12	)	)	PUNCT
cana-4511	129	13	if	if	SCONJ
cana-4511	129	14	an	an	DET
cana-4511	129	15	active	active	ADJ
cana-4511	129	16	spring	spring	NOUN
cana-4511	129	17	is	be	AUX
cana-4511	129	18	in	in	ADP
cana-4511	129	19	tension	tension	NOUN
cana-4511	129	20	,	,	PUNCT
cana-4511	129	21	(	(	PUNCT
cana-4511	129	22	b	b	X
cana-4511	129	23	)	)	PUNCT
cana-4511	129	24	if	if	SCONJ
cana-4511	129	25	an	an	DET
cana-4511	129	26	inactive	inactive	ADJ
cana-4511	129	27	spring	spring	NOUN
cana-4511	129	28	,	,	PUNCT
cana-4511	129	29	i.e.	i.e.	X
cana-4511	129	30	a	a	DET
cana-4511	129	31	spring	spring	NOUN
cana-4511	129	32	of	of	ADP
cana-4511	129	33	zero	zero	NUM
cana-4511	129	34	stiffness	stiffness	NOUN
cana-4511	129	35	,	,	PUNCT
cana-4511	129	36	is	be	AUX
cana-4511	129	37	in	in	ADP
cana-4511	129	38	compression	compression	NOUN
cana-4511	129	39	and	and	CCONJ
cana-4511	129	40	should	should	AUX
cana-4511	129	41	be	be	AUX
cana-4511	129	42	a	a	DET
cana-4511	129	43	active	active	ADJ
cana-4511	129	44	once	once	ADV
cana-4511	129	45	again	again	ADV
cana-4511	129	46	,	,	PUNCT
cana-4511	129	47	(	(	PUNCT
cana-4511	129	48	c	c	X
cana-4511	129	49	)	)	PUNCT
cana-4511	129	50	if	if	SCONJ
cana-4511	129	51	the	the	DET
cana-4511	129	52	displacement	displacement	NOUN
cana-4511	129	53	of	of	ADP
cana-4511	129	54	a	a	DET
cana-4511	129	55	spring	spring	NOUN
cana-4511	129	56	has	have	AUX
cana-4511	129	57	exceed	exceed	VERB
cana-4511	129	58	a	a	PRON
cana-4511	129	59	,	,	PUNCT
cana-4511	129	60	and	and	CCONJ
cana-4511	129	61	(	(	PUNCT
cana-4511	129	62	d	d	X
cana-4511	129	63	)	)	PUNCT
cana-4511	129	64	if	if	SCONJ
cana-4511	129	65	the	the	DET
cana-4511	129	66	assumed	assume	VERB
cana-4511	129	67	spring	spring	NOUN
cana-4511	129	68	stiffness	stiffness	NOUN
cana-4511	129	69	is	be	AUX
cana-4511	129	70	compatible	compatible	ADJ
cana-4511	129	71	with	with	ADP
cana-4511	129	72	the	the	DET
cana-4511	129	73	actual	actual	ADJ
cana-4511	129	74	load	load	NOUN
cana-4511	129	75	-	-	PUNCT
cana-4511	129	76	displacement	displacement	ADJ
cana-4511	129	77	response	response	NOUN
cana-4511	129	78	of	of	ADP
cana-4511	129	79	the	the	DET
cana-4511	129	80	foundations	foundation	NOUN
cana-4511	129	81	for	for	ADP
cana-4511	129	82	the	the	DET
cana-4511	129	83	computed	computed	ADJ
cana-4511	129	84	displacement	displacement	NOUN
cana-4511	129	85	.	.	PUNCT
cana-4511	130	1	before	before	SCONJ
cana-4511	130	2	the	the	DET
cana-4511	130	3	weighted	weight	VERB
cana-4511	130	4	averages	average	NOUN
cana-4511	130	5	scheme	scheme	NOUN
cana-4511	130	6	can	can	AUX
cana-4511	130	7	be	be	AUX
cana-4511	130	8	utilized	utilize	VERB
cana-4511	130	9	two	two	NUM
cana-4511	130	10	iterations	iteration	NOUN
cana-4511	130	11	of	of	ADP
cana-4511	130	12	analysis	analysis	NOUN
cana-4511	130	13	must	must	AUX
cana-4511	130	14	be	be	AUX
cana-4511	130	15	carried	carry	VERB
cana-4511	130	16	out	out	ADP
cana-4511	130	17	.	.	PUNCT
cana-4511	131	1	for	for	ADP
cana-4511	131	2	the	the	DET
cana-4511	131	3	first	first	ADJ
cana-4511	131	4	iteration	iteration	NOUN
cana-4511	131	5	all	all	DET
cana-4511	131	6	foundation	foundation	NOUN
cana-4511	131	7	springs	spring	NOUN
cana-4511	131	8	are	be	AUX
cana-4511	131	9	assumed	assume	VERB
cana-4511	131	10	to	to	PART
cana-4511	131	11	have	have	VERB
cana-4511	131	12	a	a	DET
cana-4511	131	13	spring	spring	NOUN
cana-4511	131	14	stiffness	stiffness	NOUN
cana-4511	131	15	of	of	ADP
cana-4511	131	16	𝑲𝒊	𝑲𝒊	PROPN
cana-4511	131	17	𝟏	𝟏	X
cana-4511	131	18	=	=	SYM
cana-4511	131	19	𝑲𝒊𝒆	𝑲𝒊𝒆	PROPN
cana-4511	131	20	=	=	SYM
cana-4511	131	21	𝑭𝒊𝒆	𝑭𝒊𝒆	PROPN
cana-4511	131	22	∝𝒊𝒆	∝𝒊𝒆	PROPN
cana-4511	131	23	(	(	PUNCT
cana-4511	131	24	𝟖	𝟖	X
cana-4511	131	25	)	)	PUNCT
cana-4511	131	26	for	for	ADP
cana-4511	131	27	those	those	DET
cana-4511	131	28	springs	spring	NOUN
cana-4511	131	29	where	where	SCONJ
cana-4511	131	30	the	the	DET
cana-4511	131	31	displacement	displacement	NOUN
cana-4511	131	32	of	of	ADP
cana-4511	131	33	the	the	DET
cana-4511	131	34	midpoint	midpoint	NOUN
cana-4511	131	35	of	of	ADP
cana-4511	131	36	the	the	DET
cana-4511	131	37	segment	segment	NOUN
cana-4511	131	38	exceed	exceed	VERB
cana-4511	131	39	;	;	PUNCT
cana-4511	131	40	the	the	DET
cana-4511	131	41	elastic	elastic	ADJ
cana-4511	131	42	limit	limit	NOUN
cana-4511	131	43	a	a	PRON
cana-4511	131	44	,	,	PUNCT
cana-4511	131	45	,	,	PUNCT
cana-4511	131	46	a	a	DET
cana-4511	131	47	new	new	ADJ
cana-4511	131	48	spring	spring	NOUN
cana-4511	131	49	stiffness	stiffness	NOUN
cana-4511	131	50	is	be	AUX
cana-4511	131	51	arbitrarily	arbitrarily	ADV
cana-4511	131	52	defined	define	VERB
cana-4511	131	53	as	as	ADP
cana-4511	132	1	𝑲𝒊	𝑲𝒊	PROPN
cana-4511	132	2	𝟐	𝟐	NUM
cana-4511	132	3	=	=	SYM
cana-4511	132	4	𝑲𝒊𝒆	𝑲𝒊𝒆	PROPN
cana-4511	132	5	=	=	SYM
cana-4511	132	6	𝟐	𝟐	NUM
cana-4511	132	7	𝑭𝒊𝒆+	𝑭𝒊𝒆+	NOUN
cana-4511	132	8	𝑭𝒊𝒖	𝑭𝒊𝒖	PROPN
cana-4511	132	9	𝟐	𝟐	NUM
cana-4511	132	10	∆𝒊𝒆+	∆𝒊𝒆+	NOUN
cana-4511	132	11	∆𝒊𝒖	∆𝒊𝒖	PROPN
cana-4511	132	12	(	(	PUNCT
cana-4511	132	13	𝟗	𝟗	NUM
cana-4511	132	14	)	)	SYM
cana-4511	132	15	4	4	NUM
cana-4511	132	16	.	.	PUNCT
cana-4511	132	17	rail	rail	NOUN
cana-4511	132	18	track	track	NOUN
cana-4511	132	19	–	–	PUNCT
cana-4511	132	20	euler	euler	NOUN
cana-4511	132	21	-	-	PUNCT
cana-4511	132	22	bernoulli	bernoulli	NOUN
cana-4511	132	23	(	(	PUNCT
cana-4511	132	24	e	e	NOUN
cana-4511	132	25	-	-	NOUN
cana-4511	132	26	b	b	NOUN
cana-4511	132	27	)	)	PUNCT
cana-4511	132	28	with	with	ADP
cana-4511	132	29	boef	boef	PROPN
cana-4511	132	30	the	the	DET
cana-4511	132	31	track	track	NOUN
cana-4511	132	32	model	model	NOUN
cana-4511	132	33	is	be	AUX
cana-4511	132	34	consisting	consist	VERB
cana-4511	132	35	of	of	ADP
cana-4511	132	36	a	a	DET
cana-4511	132	37	beam	beam	NOUN
cana-4511	132	38	on	on	ADP
cana-4511	132	39	a	a	DET
cana-4511	132	40	spring	spring	NOUN
cana-4511	132	41	foundation	foundation	NOUN
cana-4511	132	42	representing	represent	VERB
cana-4511	132	43	the	the	DET
cana-4511	132	44	beam	beam	NOUN
cana-4511	132	45	on	on	ADP
cana-4511	132	46	elastic	elastic	ADJ
cana-4511	132	47	foundation	foundation	NOUN
cana-4511	132	48	(	(	PUNCT
cana-4511	132	49	boef	boef	PROPN
cana-4511	132	50	)	)	PUNCT
cana-4511	132	51	,	,	PUNCT
cana-4511	132	52	discretely	discretely	ADV
cana-4511	132	53	supported	support	VERB
cana-4511	132	54	by	by	ADP
cana-4511	132	55	springs	spring	NOUN
cana-4511	132	56	having	have	VERB
cana-4511	132	57	stiffness	stiffness	NOUN
cana-4511	132	58	represented	represent	VERB
cana-4511	132	59	as	as	ADP
cana-4511	132	60	linear	linear	NOUN
cana-4511	132	61	(	(	PUNCT
cana-4511	132	62	constant	constant	ADJ
cana-4511	132	63	)	)	PUNCT
cana-4511	132	64	and	and	CCONJ
cana-4511	132	65	non	non	ADJ
cana-4511	132	66	-	-	ADJ
cana-4511	132	67	linear	linear	ADJ
cana-4511	132	68	stiffness	stiffness	NOUN
cana-4511	132	69	(	(	PUNCT
cana-4511	132	70	load	load	NOUN
cana-4511	132	71	-	-	PUNCT
cana-4511	132	72	deflection	deflection	NOUN
cana-4511	132	73	curve	curve	NOUN
cana-4511	132	74	)	)	PUNCT
cana-4511	132	75	–	–	PUNCT
cana-4511	132	76	as	as	SCONJ
cana-4511	132	77	studied	study	VERB
cana-4511	132	78	by	by	ADP
cana-4511	132	79	grassie	grassie	PROPN
cana-4511	132	80	,	,	PUNCT
cana-4511	132	81	sakdirat	sakdirat	NOUN
cana-4511	132	82	,	,	PUNCT
cana-4511	132	83	konthe	konthe	PROPN
cana-4511	132	84	,	,	PUNCT
cana-4511	132	85	thompson	thompson	PROPN
cana-4511	133	1	[	[	X
cana-4511	133	2	5	5	NUM
cana-4511	133	3	,	,	PUNCT
cana-4511	133	4	6	6	NUM
cana-4511	133	5	,	,	PUNCT
cana-4511	133	6	7	7	NUM
cana-4511	133	7	,	,	PUNCT
cana-4511	133	8	8	8	NUM
cana-4511	133	9	]	]	PUNCT
cana-4511	133	10	.	.	PUNCT
cana-4511	134	1	for	for	ADP
cana-4511	134	2	this	this	DET
cana-4511	134	3	study	study	NOUN
cana-4511	134	4	,	,	PUNCT
cana-4511	134	5	this	this	DET
cana-4511	134	6	paper	paper	NOUN
cana-4511	134	7	considers	consider	VERB
cana-4511	134	8	the	the	DET
cana-4511	134	9	non	non	ADJ
cana-4511	134	10	-	-	ADJ
cana-4511	134	11	linear	linear	ADJ
cana-4511	134	12	stiffness	stiffness	NOUN
cana-4511	134	13	of	of	ADP
cana-4511	134	14	grooved	groove	VERB
cana-4511	134	15	rubber	rubber	NOUN
cana-4511	134	16	pad	pad	NOUN
cana-4511	134	17	by	by	ADP
cana-4511	134	18	considering	consider	VERB
cana-4511	134	19	load	load	NOUN
cana-4511	134	20	-	-	PUNCT
cana-4511	134	21	deflection	deflection	NOUN
cana-4511	134	22	curve	curve	NOUN
cana-4511	134	23	obtained	obtain	VERB
cana-4511	134	24	from	from	ADP
cana-4511	134	25	the	the	DET
cana-4511	134	26	experiment	experiment	NOUN
cana-4511	134	27	and	and	CCONJ
cana-4511	134	28	validated	validate	VERB
cana-4511	134	29	by	by	ADP
cana-4511	134	30	ansys	ansys	PROPN
cana-4511	134	31	software	software	PROPN
cana-4511	134	32	.	.	PUNCT
cana-4511	135	1	the	the	DET
cana-4511	135	2	uic60	uic60	PROPN
cana-4511	135	3	cross	cross	NOUN
cana-4511	135	4	section	section	NOUN
cana-4511	135	5	is	be	AUX
cana-4511	135	6	designed	design	VERB
cana-4511	135	7	as	as	ADP
cana-4511	135	8	the	the	DET
cana-4511	135	9	specifications	specification	NOUN
cana-4511	135	10	given	give	VERB
cana-4511	135	11	by	by	ADP
cana-4511	135	12	the	the	DET
cana-4511	135	13	indian	indian	ADJ
cana-4511	135	14	railways	railway	NOUN
cana-4511	135	15	,	,	PUNCT
cana-4511	135	16	figure	figure	VERB
cana-4511	135	17	7	7	NUM
cana-4511	135	18	.	.	PUNCT
cana-4511	135	19	figure	figure	VERB
cana-4511	135	20	7	7	NUM
cana-4511	135	21	:	:	PUNCT
cana-4511	135	22	uic60	uic60	ADJ
cana-4511	135	23	rail	rail	NOUN
cana-4511	135	24	cross	cross	NOUN
cana-4511	135	25	section	section	NOUN
cana-4511	135	26	specifications	specification	NOUN
cana-4511	135	27	in	in	ADP
cana-4511	135	28	mm	mm	PROPN
cana-4511	135	29	and	and	CCONJ
cana-4511	135	30	free	free	ADJ
cana-4511	135	31	body	body	NOUN
cana-4511	135	32	diagram	diagram	NOUN
cana-4511	135	33	4.1	4.1	NUM
cana-4511	135	34	.	.	PUNCT
cana-4511	136	1	non	non	ADJ
cana-4511	136	2	–	–	PUNCT
cana-4511	136	3	linear	linear	ADJ
cana-4511	136	4	behavior	behavior	NOUN
cana-4511	136	5	of	of	ADP
cana-4511	136	6	the	the	DET
cana-4511	136	7	grooved	groove	VERB
cana-4511	136	8	rail	rail	NOUN
cana-4511	136	9	pad	pad	NOUN
cana-4511	136	10	grp	grp	PROPN
cana-4511	136	11	:	:	PUNCT
cana-4511	136	12	the	the	DET
cana-4511	136	13	track	track	NOUN
cana-4511	136	14	model	model	NOUN
cana-4511	136	15	is	be	AUX
cana-4511	136	16	consisting	consist	VERB
cana-4511	136	17	of	of	ADP
cana-4511	136	18	a	a	DET
cana-4511	136	19	beam	beam	NOUN
cana-4511	136	20	on	on	ADP
cana-4511	136	21	a	a	DET
cana-4511	136	22	spring	spring	NOUN
cana-4511	136	23	foundation	foundation	NOUN
cana-4511	136	24	representing	represent	VERB
cana-4511	136	25	the	the	DET
cana-4511	136	26	rail	rail	NOUN
cana-4511	136	27	pad	pad	NOUN
cana-4511	136	28	.	.	PUNCT
cana-4511	137	1	static	static	ADJ
cana-4511	137	2	stiffness	stiffness	NOUN
cana-4511	137	3	increases	increase	VERB
cana-4511	137	4	linearly	linearly	ADV
cana-4511	137	5	with	with	ADP
cana-4511	137	6	load	load	NOUN
cana-4511	137	7	but	but	CCONJ
cana-4511	137	8	due	due	ADP
cana-4511	137	9	to	to	ADP
cana-4511	137	10	non	non	ADJ
cana-4511	137	11	-	-	ADJ
cana-4511	137	12	linear	linear	ADJ
cana-4511	137	13	properties	property	NOUN
cana-4511	137	14	of	of	ADP
cana-4511	137	15	visco	visco	ADJ
cana-4511	137	16	-	-	ADJ
cana-4511	137	17	elastic	elastic	ADJ
cana-4511	137	18	material	material	NOUN
cana-4511	137	19	(	(	PUNCT
cana-4511	137	20	elastomers	elastomer	NOUN
cana-4511	137	21	)	)	PUNCT
cana-4511	137	22	,	,	PUNCT
cana-4511	137	23	dynamic	dynamic	ADJ
cana-4511	137	24	stiffness	stiffness	NOUN
cana-4511	137	25	at	at	ADP
cana-4511	137	26	higher	high	ADJ
cana-4511	137	27	frequencies	frequency	NOUN
cana-4511	137	28	or	or	CCONJ
cana-4511	137	29	higher	high	ADJ
cana-4511	137	30	load	load	NOUN
cana-4511	137	31	steps	step	NOUN
cana-4511	137	32	is	be	AUX
cana-4511	137	33	generally	generally	ADV
cana-4511	137	34	higher	high	ADJ
cana-4511	137	35	than	than	ADP
cana-4511	137	36	the	the	DET
cana-4511	137	37	static	static	ADJ
cana-4511	137	38	stiffness	stiffness	NOUN
cana-4511	137	39	.	.	PUNCT
cana-4511	138	1	non	non	ADJ
cana-4511	138	2	-	-	ADJ
cana-4511	138	3	linear	linear	ADJ
cana-4511	138	4	properties	property	NOUN
cana-4511	138	5	of	of	ADP
cana-4511	138	6	grooved	groove	VERB
cana-4511	138	7	rubber	rubber	NOUN
cana-4511	138	8	pad	pad	NOUN
cana-4511	138	9	–	–	PUNCT
cana-4511	138	10	grp	grp	NOUN
cana-4511	138	11	;	;	PUNCT
cana-4511	138	12	can	can	AUX
cana-4511	138	13	be	be	AUX
cana-4511	138	14	determined	determine	VERB
cana-4511	138	15	by	by	ADP
cana-4511	138	16	performing	perform	VERB
cana-4511	138	17	material	material	NOUN
cana-4511	138	18	modelling	modelling	NOUN
cana-4511	138	19	like	like	ADP
cana-4511	138	20	mooney	mooney	PROPN
cana-4511	138	21	–	–	PUNCT
cana-4511	138	22	rivlin	rivlin	PROPN
cana-4511	138	23	,	,	PUNCT
cana-4511	138	24	neo	neo	ADJ
cana-4511	138	25	-	-	ADJ
cana-4511	138	26	hookean	hookean	ADJ
cana-4511	138	27	and	and	CCONJ
cana-4511	138	28	ogden	ogden	NOUN
cana-4511	138	29	material	material	NOUN
cana-4511	138	30	models	model	NOUN
cana-4511	138	31	etc	etc	X
cana-4511	138	32	.	.	X
cana-4511	139	1	communications	communication	NOUN
cana-4511	139	2	on	on	ADP
cana-4511	139	3	applied	apply	VERB
cana-4511	139	4	nonlinear	nonlinear	ADJ
cana-4511	139	5	analysis	analysis	NOUN
cana-4511	139	6	issn	issn	NOUN
cana-4511	139	7	:	:	PUNCT
cana-4511	139	8	1074	1074	NUM
cana-4511	139	9	-	-	PUNCT
cana-4511	139	10	133x	133x	NUM
cana-4511	139	11	vol	vol	NOUN
cana-4511	139	12	32	32	NUM
cana-4511	139	13	no	no	NOUN
cana-4511	139	14	.	.	PUNCT
cana-4511	140	1	9s	9s	NUM
cana-4511	140	2	(	(	PUNCT
cana-4511	140	3	2025	2025	NUM
cana-4511	140	4	)	)	PUNCT
cana-4511	140	5	2265	2265	NUM
cana-4511	140	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4511	140	7	the	the	DET
cana-4511	140	8	load	load	NOUN
cana-4511	140	9	vs.	vs.	ADP
cana-4511	140	10	deflection	deflection	NOUN
cana-4511	140	11	data	datum	NOUN
cana-4511	140	12	from	from	ADP
cana-4511	140	13	test	test	NOUN
cana-4511	140	14	is	be	AUX
cana-4511	140	15	given	give	VERB
cana-4511	140	16	in	in	ADP
cana-4511	140	17	tabular	tabular	NOUN
cana-4511	140	18	form	form	NOUN
cana-4511	140	19	as	as	ADP
cana-4511	140	20	material	material	ADJ
cana-4511	140	21	characteristics	characteristic	NOUN
cana-4511	140	22	to	to	PART
cana-4511	140	23	find	find	VERB
cana-4511	140	24	out	out	ADP
cana-4511	140	25	best	good	ADJ
cana-4511	140	26	curve	curve	NOUN
cana-4511	140	27	fit	fit	ADJ
cana-4511	140	28	values	value	NOUN
cana-4511	140	29	.	.	PUNCT
cana-4511	141	1	the	the	DET
cana-4511	141	2	graph	graph	NOUN
cana-4511	141	3	obtained	obtain	VERB
cana-4511	141	4	from	from	ADP
cana-4511	141	5	experimental	experimental	ADJ
cana-4511	141	6	study	study	NOUN
cana-4511	141	7	gives	give	VERB
cana-4511	141	8	values	value	NOUN
cana-4511	141	9	of	of	ADP
cana-4511	141	10	load	load	NOUN
cana-4511	141	11	vs.	vs.	ADP
cana-4511	141	12	deflection	deflection	NOUN
cana-4511	141	13	to	to	ADP
cana-4511	141	14	ansys	ansys	PROPN
cana-4511	141	15	material	material	PROPN
cana-4511	141	16	library	library	NOUN
cana-4511	141	17	as	as	ADP
cana-4511	141	18	input	input	NOUN
cana-4511	141	19	and	and	CCONJ
cana-4511	141	20	solved	solved	ADJ
cana-4511	141	21	curve	curve	NOUN
cana-4511	141	22	fit	fit	NOUN
cana-4511	141	23	for	for	ADP
cana-4511	141	24	polynomial	polynomial	ADJ
cana-4511	141	25	3rd	3rd	ADJ
cana-4511	141	26	degree	degree	NOUN
cana-4511	141	27	equation	equation	NOUN
cana-4511	141	28	.	.	PUNCT
cana-4511	142	1	values	value	NOUN
cana-4511	142	2	of	of	ADP
cana-4511	142	3	all	all	DET
cana-4511	142	4	the	the	DET
cana-4511	142	5	constants	constant	NOUN
cana-4511	142	6	have	have	AUX
cana-4511	142	7	been	be	AUX
cana-4511	142	8	obtained	obtain	VERB
cana-4511	142	9	from	from	ADP
cana-4511	142	10	the	the	DET
cana-4511	142	11	solutions	solution	NOUN
cana-4511	142	12	.	.	PUNCT
cana-4511	143	1	by	by	ADP
cana-4511	143	2	considering	consider	VERB
cana-4511	143	3	the	the	DET
cana-4511	143	4	entire	entire	ADJ
cana-4511	143	5	test	test	NOUN
cana-4511	143	6	parameters	parameter	NOUN
cana-4511	143	7	load	load	VERB
cana-4511	143	8	vs.	vs.	ADP
cana-4511	143	9	deflection	deflection	NOUN
cana-4511	143	10	plot	plot	NOUN
cana-4511	143	11	obtained	obtain	VERB
cana-4511	143	12	.	.	PUNCT
cana-4511	144	1	figure	figure	VERB
cana-4511	144	2	8	8	NUM
cana-4511	144	3	:	:	PUNCT
cana-4511	144	4	material	material	NOUN
cana-4511	144	5	modelling	modelling	NOUN
cana-4511	144	6	using	use	VERB
cana-4511	144	7	ansys	ansys	PROPN
cana-4511	144	8	with	with	ADP
cana-4511	144	9	the	the	DET
cana-4511	144	10	material	material	NOUN
cana-4511	144	11	constants	constant	NOUN
cana-4511	144	12	linear	linear	ADJ
cana-4511	144	13	elastic	elastic	ADJ
cana-4511	144	14	model	model	NOUN
cana-4511	144	15	fails	fail	VERB
cana-4511	144	16	to	to	PART
cana-4511	144	17	describe	describe	VERB
cana-4511	144	18	accurately	accurately	ADV
cana-4511	144	19	the	the	DET
cana-4511	144	20	real	real	ADJ
cana-4511	144	21	material	material	ADJ
cana-4511	144	22	behavior	behavior	NOUN
cana-4511	144	23	,	,	PUNCT
cana-4511	144	24	whose	whose	DET
cana-4511	144	25	stress	stress	NOUN
cana-4511	144	26	-	-	PUNCT
cana-4511	144	27	strain	strain	NOUN
cana-4511	144	28	relationship	relationship	NOUN
cana-4511	144	29	is	be	AUX
cana-4511	144	30	independent	independent	ADJ
cana-4511	144	31	of	of	ADP
cana-4511	144	32	strain	strain	NOUN
cana-4511	144	33	rate	rate	NOUN
cana-4511	144	34	.	.	PUNCT
cana-4511	145	1	due	due	ADP
cana-4511	145	2	to	to	ADP
cana-4511	145	3	non	non	ADJ
cana-4511	145	4	-	-	ADJ
cana-4511	145	5	linear	linear	ADJ
cana-4511	145	6	behavior	behavior	NOUN
cana-4511	145	7	the	the	DET
cana-4511	145	8	stiffness	stiffness	NOUN
cana-4511	145	9	of	of	ADP
cana-4511	145	10	rail	rail	NOUN
cana-4511	145	11	pad	pad	NOUN
cana-4511	145	12	varies	vary	VERB
cana-4511	145	13	non	non	ADJ
cana-4511	145	14	-	-	ADJ
cana-4511	145	15	linearly	linearly	ADV
cana-4511	146	1	and	and	CCONJ
cana-4511	146	2	it	it	PRON
cana-4511	146	3	has	have	VERB
cana-4511	146	4	different	different	ADJ
cana-4511	146	5	value	value	NOUN
cana-4511	146	6	at	at	ADP
cana-4511	146	7	every	every	DET
cana-4511	146	8	single	single	ADJ
cana-4511	146	9	point	point	NOUN
cana-4511	146	10	on	on	ADP
cana-4511	146	11	the	the	DET
cana-4511	146	12	load	load	NOUN
cana-4511	146	13	vs.	vs.	ADP
cana-4511	146	14	deflection	deflection	NOUN
cana-4511	146	15	curve	curve	NOUN
cana-4511	146	16	.	.	PUNCT
cana-4511	147	1	practically	practically	ADV
cana-4511	147	2	it	it	PRON
cana-4511	147	3	is	be	AUX
cana-4511	147	4	difficult	difficult	ADJ
cana-4511	147	5	to	to	PART
cana-4511	147	6	find	find	VERB
cana-4511	147	7	out	out	ADP
cana-4511	147	8	the	the	DET
cana-4511	147	9	stiffness	stiffness	ADJ
cana-4511	147	10	value	value	NOUN
cana-4511	147	11	for	for	ADP
cana-4511	147	12	every	every	DET
cana-4511	147	13	instance	instance	NOUN
cana-4511	147	14	of	of	ADP
cana-4511	147	15	the	the	DET
cana-4511	147	16	loading	loading	NOUN
cana-4511	147	17	step	step	NOUN
cana-4511	147	18	of	of	ADP
cana-4511	147	19	curve	curve	NOUN
cana-4511	147	20	.	.	PUNCT
cana-4511	148	1	for	for	ADP
cana-4511	148	2	the	the	DET
cana-4511	148	3	current	current	ADJ
cana-4511	148	4	study	study	NOUN
cana-4511	148	5	,	,	PUNCT
cana-4511	148	6	the	the	DET
cana-4511	148	7	variable	variable	ADJ
cana-4511	148	8	stiffness	stiffness	NOUN
cana-4511	148	9	of	of	ADP
cana-4511	148	10	grp	grp	PROPN
cana-4511	148	11	,	,	PUNCT
cana-4511	148	12	polynomial	polynomial	ADJ
cana-4511	148	13	of	of	ADP
cana-4511	148	14	3rd	3rd	ADJ
cana-4511	148	15	order	order	NOUN
cana-4511	148	16	approach	approach	NOUN
cana-4511	148	17	to	to	PART
cana-4511	148	18	find	find	VERB
cana-4511	148	19	out	out	ADP
cana-4511	148	20	.	.	PUNCT
cana-4511	149	1	the	the	DET
cana-4511	149	2	mathematical	mathematical	ADJ
cana-4511	149	3	form	form	NOUN
cana-4511	149	4	of	of	ADP
cana-4511	149	5	strain	strain	NOUN
cana-4511	149	6	-	-	PUNCT
cana-4511	149	7	energy	energy	NOUN
cana-4511	149	8	potential	potential	NOUN
cana-4511	149	9	for	for	ADP
cana-4511	149	10	the	the	DET
cana-4511	149	11	polynomial	polynomial	ADJ
cana-4511	149	12	option	option	NOUN
cana-4511	149	13	is	be	AUX
cana-4511	149	14	given	give	VERB
cana-4511	149	15	as	as	ADP
cana-4511	149	16	.	.	PUNCT
cana-4511	149	17	w=	w=	PROPN
cana-4511	149	18	∑	∑	PROPN
cana-4511	149	19	𝐶𝑖𝑗	𝐶𝑖𝑗	PROPN
cana-4511	149	20	(	(	PUNCT
cana-4511	149	21	𝐼1	𝐼1	NOUN
cana-4511	149	22	−	−	PROPN
cana-4511	149	23	3)𝑖.	3)𝑖.	PROPN
cana-4511	149	24	(	(	PUNCT
cana-4511	149	25	𝐼2	𝐼2	NOUN
cana-4511	149	26	−	−	PROPN
cana-4511	149	27	3)𝑗	3)𝑗	NUM
cana-4511	150	1	+	+	CCONJ
cana-4511	150	2	∑	∑	SYM
cana-4511	150	3	1	1	NUM
cana-4511	150	4	𝑑𝑘	𝑑𝑘	ADP
cana-4511	150	5	(	(	PUNCT
cana-4511	150	6	𝐽	𝐽	NOUN
cana-4511	150	7	−	−	PROPN
cana-4511	150	8	1)2𝑘	1)2𝑘	PROPN
cana-4511	150	9	𝑁	𝑁	PROPN
cana-4511	150	10	𝑘=1	𝑘=1	NOUN
cana-4511	150	11	𝑁	𝑁	NOUN
cana-4511	150	12	𝑖+𝑗=1	𝑖+𝑗=1	PRON
cana-4511	150	13	–	–	PUNCT
cana-4511	150	14	(	(	PUNCT
cana-4511	150	15	10	10	NUM
cana-4511	150	16	)	)	PUNCT
cana-4511	150	17	in	in	ADP
cana-4511	150	18	general	general	ADJ
cana-4511	150	19	number	number	NOUN
cana-4511	150	20	of	of	ADP
cana-4511	150	21	constants	constant	NOUN
cana-4511	150	22	depends	depend	VERB
cana-4511	150	23	on	on	ADP
cana-4511	150	24	value	value	NOUN
cana-4511	150	25	of	of	ADP
cana-4511	150	26	n.	n.	PROPN
cana-4511	150	27	n=	n=	ADJ
cana-4511	150	28	3	3	NUM
cana-4511	150	29	,	,	PUNCT
cana-4511	150	30	c10	c10	PROPN
cana-4511	150	31	,	,	PUNCT
cana-4511	150	32	c01	c01	PROPN
cana-4511	150	33	,	,	PUNCT
cana-4511	150	34	c20	c20	NOUN
cana-4511	150	35	,	,	PUNCT
cana-4511	150	36	c02	c02	NOUN
cana-4511	150	37	,	,	PUNCT
cana-4511	150	38	c30	c30	PROPN
cana-4511	150	39	,	,	PUNCT
cana-4511	150	40	c21	c21	NOUN
cana-4511	150	41	,	,	PUNCT
cana-4511	150	42	c12	c12	PROPN
cana-4511	150	43	,	,	PUNCT
cana-4511	150	44	c03	c03	PROPN
cana-4511	150	45	,	,	PUNCT
cana-4511	150	46	d2	d2	PROPN
cana-4511	150	47	,	,	PUNCT
cana-4511	150	48	d3	d3	PROPN
cana-4511	150	49	.	.	PUNCT
cana-4511	151	1	the	the	DET
cana-4511	151	2	load	load	NOUN
cana-4511	151	3	vs.	vs.	ADP
cana-4511	151	4	deflection	deflection	NOUN
cana-4511	151	5	nature	nature	NOUN
cana-4511	151	6	obtained	obtain	VERB
cana-4511	151	7	from	from	ADP
cana-4511	151	8	the	the	DET
cana-4511	151	9	uniaxial	uniaxial	ADJ
cana-4511	151	10	loading	loading	NOUN
cana-4511	151	11	test	test	NOUN
cana-4511	151	12	is	be	AUX
cana-4511	151	13	considered	consider	VERB
cana-4511	151	14	as	as	ADP
cana-4511	151	15	input	input	NOUN
cana-4511	151	16	to	to	ADP
cana-4511	151	17	ansys	ansys	PROPN
cana-4511	151	18	software	software	PROPN
cana-4511	151	19	to	to	PART
cana-4511	151	20	find	find	VERB
cana-4511	151	21	out	out	ADP
cana-4511	151	22	above	above	ADP
cana-4511	151	23	constants	constant	NOUN
cana-4511	151	24	by	by	ADP
cana-4511	151	25	curve	curve	NOUN
cana-4511	151	26	fitting	fitting	ADJ
cana-4511	151	27	method	method	NOUN
cana-4511	151	28	.	.	PUNCT
cana-4511	152	1	this	this	DET
cana-4511	152	2	modelling	modelling	NOUN
cana-4511	152	3	is	be	AUX
cana-4511	152	4	carried	carry	VERB
cana-4511	152	5	out	out	ADP
cana-4511	152	6	to	to	PART
cana-4511	152	7	validate	validate	VERB
cana-4511	152	8	the	the	DET
cana-4511	152	9	load	load	NOUN
cana-4511	152	10	vs.	vs.	ADP
cana-4511	152	11	deflection	deflection	NOUN
cana-4511	152	12	curve	curve	NOUN
cana-4511	152	13	obtained	obtain	VERB
cana-4511	152	14	by	by	ADP
cana-4511	152	15	ansys	ansys	PROPN
cana-4511	152	16	with	with	ADP
cana-4511	152	17	experimental	experimental	ADJ
cana-4511	152	18	one	one	NUM
cana-4511	152	19	.	.	PUNCT
cana-4511	153	1	where	where	SCONJ
cana-4511	153	2	,	,	PUNCT
cana-4511	153	3	w=	w=	NOUN
cana-4511	153	4	strain	strain	VERB
cana-4511	153	5	energy	energy	NOUN
cana-4511	153	6	potential	potential	NOUN
cana-4511	153	7	.	.	PUNCT
cana-4511	154	1	i1=	i1=	NUM
cana-4511	154	2	first	first	ADJ
cana-4511	154	3	deviatric	deviatric	ADJ
cana-4511	154	4	strain	strain	NOUN
cana-4511	154	5	invariant	invariant	PROPN
cana-4511	154	6	i2	i2	NOUN
cana-4511	154	7	=	=	SYM
cana-4511	154	8	second	second	ADJ
cana-4511	154	9	deviatric	deviatric	ADJ
cana-4511	154	10	strain	strain	NOUN
cana-4511	154	11	invariant	invariant	ADJ
cana-4511	154	12	j=	j=	NOUN
cana-4511	154	13	determinant	determinant	ADJ
cana-4511	154	14	of	of	ADP
cana-4511	154	15	the	the	DET
cana-4511	154	16	elastic	elastic	ADJ
cana-4511	154	17	deformation	deformation	NOUN
cana-4511	154	18	gradient	gradient	NOUN
cana-4511	154	19	f	f	PROPN
cana-4511	154	20	n	n	CCONJ
cana-4511	154	21	,	,	PUNCT
cana-4511	154	22	cij=	cij=	NOUN
cana-4511	154	23	material	material	NOUN
cana-4511	154	24	constants	constant	NOUN
cana-4511	154	25	communications	communication	NOUN
cana-4511	154	26	on	on	ADP
cana-4511	154	27	applied	apply	VERB
cana-4511	154	28	nonlinear	nonlinear	ADJ
cana-4511	154	29	analysis	analysis	NOUN
cana-4511	154	30	issn	issn	NOUN
cana-4511	154	31	:	:	PUNCT
cana-4511	154	32	1074	1074	NUM
cana-4511	154	33	-	-	PUNCT
cana-4511	154	34	133x	133x	NUM
cana-4511	154	35	vol	vol	NOUN
cana-4511	154	36	32	32	NUM
cana-4511	155	1	no	no	NOUN
cana-4511	155	2	.	.	PUNCT
cana-4511	156	1	9s	9s	NUM
cana-4511	156	2	(	(	PUNCT
cana-4511	156	3	2025	2025	NUM
cana-4511	156	4	)	)	PUNCT
cana-4511	156	5	2266	2266	NUM
cana-4511	157	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4511	157	2	figure	figure	NOUN
cana-4511	157	3	9	9	NUM
cana-4511	157	4	:	:	PUNCT
cana-4511	157	5	load	load	NOUN
cana-4511	157	6	vs	vs	ADP
cana-4511	157	7	displacement	displacement	NOUN
cana-4511	157	8	–	–	PUNCT
cana-4511	157	9	rubber	rubber	NOUN
cana-4511	157	10	pad	pad	NOUN
cana-4511	157	11	the	the	DET
cana-4511	157	12	stiffness	stiffness	NOUN
cana-4511	157	13	of	of	ADP
cana-4511	157	14	grp	grp	PROPN
cana-4511	157	15	is	be	AUX
cana-4511	157	16	usually	usually	ADV
cana-4511	157	17	assumed	assume	VERB
cana-4511	157	18	to	to	PART
cana-4511	157	19	increase	increase	VERB
cana-4511	157	20	linearly	linearly	ADV
cana-4511	157	21	with	with	ADP
cana-4511	157	22	load	load	NOUN
cana-4511	157	23	to	to	PART
cana-4511	157	24	simplify	simplify	VERB
cana-4511	157	25	analysis	analysis	NOUN
cana-4511	157	26	of	of	ADP
cana-4511	157	27	track	track	NOUN
cana-4511	157	28	structure	structure	NOUN
cana-4511	157	29	.	.	PUNCT
cana-4511	158	1	actual	actual	ADJ
cana-4511	158	2	behaviour	behaviour	NOUN
cana-4511	158	3	of	of	ADP
cana-4511	158	4	grp	grp	PROPN
cana-4511	158	5	is	be	AUX
cana-4511	158	6	determined	determine	VERB
cana-4511	158	7	by	by	ADP
cana-4511	158	8	derivation	derivation	NOUN
cana-4511	158	9	of	of	ADP
cana-4511	158	10	grp	grp	PROPN
cana-4511	158	11	stiffness	stiffness	NOUN
cana-4511	158	12	from	from	ADP
cana-4511	158	13	the	the	DET
cana-4511	158	14	test	test	NOUN
cana-4511	158	15	results	result	NOUN
cana-4511	158	16	.	.	PUNCT
cana-4511	159	1	the	the	DET
cana-4511	159	2	tangent	tangent	ADJ
cana-4511	159	3	stiffness	stiffness	NOUN
cana-4511	159	4	is	be	AUX
cana-4511	159	5	given	give	VERB
cana-4511	159	6	by	by	ADP
cana-4511	159	7	kp=	kp=	PROPN
cana-4511	159	8	dp	dp	PROPN
cana-4511	159	9	/	/	SYM
cana-4511	159	10	dx	dx	PROPN
cana-4511	159	11	.	.	PUNCT
cana-4511	160	1	the	the	DET
cana-4511	160	2	load	load	NOUN
cana-4511	160	3	vs	vs	ADP
cana-4511	160	4	deflection	deflection	NOUN
cana-4511	160	5	equation	equation	NOUN
cana-4511	160	6	is	be	AUX
cana-4511	160	7	determined	determine	VERB
cana-4511	160	8	by	by	ADP
cana-4511	160	9	performing	perform	VERB
cana-4511	160	10	curve	curve	NOUN
cana-4511	160	11	fitting	fitting	ADJ
cana-4511	160	12	procedure	procedure	NOUN
cana-4511	160	13	in	in	ADP
cana-4511	160	14	matlab	matlab	PROPN
cana-4511	160	15	software	software	NOUN
cana-4511	160	16	.	.	PUNCT
cana-4511	161	1	the	the	DET
cana-4511	161	2	load	load	NOUN
cana-4511	161	3	vs	vs	ADP
cana-4511	161	4	deflection	deflection	NOUN
cana-4511	161	5	and	and	CCONJ
cana-4511	161	6	stiffness	stiffness	NOUN
cana-4511	161	7	vs	vs	ADP
cana-4511	161	8	deflection	deflection	NOUN
cana-4511	161	9	equations	equation	NOUN
cana-4511	161	10	are	be	AUX
cana-4511	161	11	derived	derive	VERB
cana-4511	161	12	as	as	ADP
cana-4511	161	13	power	power	NOUN
cana-4511	161	14	equation	equation	NOUN
cana-4511	161	15	(	(	PUNCT
cana-4511	161	16	y	y	NOUN
cana-4511	161	17	=	=	SYM
cana-4511	161	18	a.ebx	a.ebx	PROPN
cana-4511	161	19	)	)	PUNCT
cana-4511	161	20	is	be	AUX
cana-4511	162	1	y	y	NOUN
cana-4511	162	2	=	=	PUNCT
cana-4511	162	3	0.256580	0.256580	NUM
cana-4511	162	4	*	*	PUNCT
cana-4511	163	1	e	e	X
cana-4511	163	2	1.694267	1.694267	NUM
cana-4511	163	3	*	*	PUNCT
cana-4511	163	4	x	x	X
cana-4511	163	5	–	–	PUNCT
cana-4511	163	6	(	(	PUNCT
cana-4511	163	7	11	11	NUM
cana-4511	163	8	)	)	PUNCT
cana-4511	163	9	kp	kp	NOUN
cana-4511	164	1	=	=	PUNCT
cana-4511	164	2	𝒅𝒚	𝒅𝒚	ADP
cana-4511	164	3	𝒅𝒙	𝒅𝒙	ADP
cana-4511	164	4	=	=	SYM
cana-4511	164	5	0.4337	0.4337	NUM
cana-4511	164	6	*	*	PUNCT
cana-4511	164	7	e	e	X
cana-4511	164	8	(	(	PUNCT
cana-4511	164	9	1.694267	1.694267	NUM
cana-4511	164	10	*	*	SYM
cana-4511	164	11	x	x	X
cana-4511	164	12	)	)	PUNCT
cana-4511	164	13	–	–	PUNCT
cana-4511	164	14	(	(	PUNCT
cana-4511	164	15	12	12	NUM
cana-4511	164	16	)	)	PUNCT
cana-4511	164	17	4.2	4.2	NUM
cana-4511	164	18	.	.	PUNCT
cana-4511	165	1	determination	determination	NOUN
cana-4511	165	2	of	of	ADP
cana-4511	165	3	rail	rail	NOUN
cana-4511	165	4	track	track	NOUN
cana-4511	165	5	–	–	PUNCT
cana-4511	165	6	euler	euler	NOUN
cana-4511	165	7	-	-	PUNCT
cana-4511	165	8	bernoulli	bernoulli	NOUN
cana-4511	165	9	(	(	PUNCT
cana-4511	165	10	e	e	NOUN
cana-4511	165	11	-	-	NOUN
cana-4511	165	12	b	b	NOUN
cana-4511	165	13	)	)	PUNCT
cana-4511	165	14	with	with	ADP
cana-4511	165	15	boef	boef	PROPN
cana-4511	165	16	:	:	PUNCT
cana-4511	165	17	a	a	DET
cana-4511	165	18	beam	beam	NOUN
cana-4511	165	19	model	model	NOUN
cana-4511	165	20	having	have	VERB
cana-4511	165	21	cross	cross	NOUN
cana-4511	165	22	-	-	NOUN
cana-4511	165	23	section	section	NOUN
cana-4511	165	24	,	,	PUNCT
cana-4511	165	25	60	60	NUM
cana-4511	165	26	kg	kg	NOUN
cana-4511	165	27	rail	rail	NOUN
cana-4511	165	28	–	–	PUNCT
cana-4511	165	29	uic60	uic60	ADJ
cana-4511	165	30	,	,	PUNCT
cana-4511	165	31	with	with	ADP
cana-4511	165	32	length	length	NOUN
cana-4511	165	33	of	of	ADP
cana-4511	165	34	36	36	NUM
cana-4511	165	35	m	m	NOUN
cana-4511	165	36	to	to	PART
cana-4511	165	37	account	account	VERB
cana-4511	165	38	the	the	DET
cana-4511	165	39	variation	variation	NOUN
cana-4511	165	40	over	over	ADP
cana-4511	165	41	the	the	DET
cana-4511	165	42	long	long	ADJ
cana-4511	165	43	length	length	NOUN
cana-4511	165	44	.	.	PUNCT
cana-4511	166	1	the	the	DET
cana-4511	166	2	rail	rail	NOUN
cana-4511	166	3	pad	pad	NOUN
cana-4511	166	4	under	under	ADP
cana-4511	166	5	the	the	DET
cana-4511	166	6	rail	rail	NOUN
cana-4511	166	7	considered	consider	VERB
cana-4511	166	8	as	as	ADP
cana-4511	166	9	spring	spring	NOUN
cana-4511	166	10	and	and	CCONJ
cana-4511	166	11	stiffness	stiffness	NOUN
cana-4511	166	12	of	of	ADP
cana-4511	166	13	rail	rail	NOUN
cana-4511	166	14	pad	pad	NOUN
cana-4511	166	15	is	be	AUX
cana-4511	166	16	given	give	VERB
cana-4511	166	17	as	as	ADP
cana-4511	166	18	input	input	NOUN
cana-4511	166	19	characteristics	characteristic	NOUN
cana-4511	166	20	to	to	ADP
cana-4511	166	21	the	the	DET
cana-4511	166	22	spring	spring	NOUN
cana-4511	166	23	.	.	PUNCT
cana-4511	167	1	the	the	DET
cana-4511	167	2	distance	distance	NOUN
cana-4511	167	3	between	between	ADP
cana-4511	167	4	two	two	NUM
cana-4511	167	5	springs	spring	NOUN
cana-4511	167	6	is	be	AUX
cana-4511	167	7	as	as	SCONJ
cana-4511	167	8	kept	keep	VERB
cana-4511	167	9	0.6	0.6	NUM
cana-4511	167	10	m.	m.	NOUN
cana-4511	167	11	the	the	DET
cana-4511	167	12	model	model	NOUN
cana-4511	167	13	developed	develop	VERB
cana-4511	167	14	based	base	VERB
cana-4511	167	15	on	on	ADP
cana-4511	167	16	beam	beam	NOUN
cana-4511	167	17	on	on	ADP
cana-4511	167	18	elastic	elastic	ADJ
cana-4511	167	19	foundation	foundation	NOUN
cana-4511	167	20	(	(	PUNCT
cana-4511	167	21	boef	boef	PROPN
cana-4511	167	22	)	)	PUNCT
cana-4511	167	23	and	and	CCONJ
cana-4511	167	24	simulated	simulate	VERB
cana-4511	167	25	using	use	VERB
cana-4511	167	26	ansys	ansys	PROPN
cana-4511	167	27	software	software	PROPN
cana-4511	167	28	.	.	PUNCT
cana-4511	168	1	the	the	DET
cana-4511	168	2	influence	influence	NOUN
cana-4511	168	3	of	of	ADP
cana-4511	168	4	track	track	NOUN
cana-4511	168	5	stiffness	stiffness	NOUN
cana-4511	168	6	on	on	ADP
cana-4511	168	7	track	track	NOUN
cana-4511	168	8	behaviour	behaviour	NOUN
cana-4511	168	9	under	under	ADP
cana-4511	168	10	vertical	vertical	ADJ
cana-4511	168	11	load	load	NOUN
cana-4511	168	12	demonstrated	demonstrate	VERB
cana-4511	168	13	by	by	ADP
cana-4511	168	14	leposava	leposava	NOUN
cana-4511	168	15	[	[	X
cana-4511	168	16	14	14	NUM
cana-4511	168	17	]	]	PUNCT
cana-4511	168	18	.	.	PUNCT
cana-4511	169	1	the	the	DET
cana-4511	169	2	single	single	ADJ
cana-4511	169	3	rail	rail	NOUN
cana-4511	169	4	track	track	NOUN
cana-4511	169	5	–	–	PUNCT
cana-4511	169	6	as	as	ADP
cana-4511	169	7	boef	boef	PROPN
cana-4511	169	8	,	,	PUNCT
cana-4511	169	9	with	with	ADP
cana-4511	169	10	the	the	DET
cana-4511	169	11	influence	influence	NOUN
cana-4511	169	12	of	of	ADP
cana-4511	169	13	non	non	ADJ
cana-4511	169	14	-	-	ADJ
cana-4511	169	15	linear	linear	ADJ
cana-4511	169	16	behavior	behavior	NOUN
cana-4511	169	17	of	of	ADP
cana-4511	169	18	track	track	NOUN
cana-4511	169	19	fastening	fastening	NOUN
cana-4511	169	20	system	system	NOUN
cana-4511	169	21	on	on	ADP
cana-4511	169	22	track	track	NOUN
cana-4511	169	23	modulus	modulus	NOUN
cana-4511	169	24	presented	present	VERB
cana-4511	169	25	by	by	ADP
cana-4511	169	26	sandeep	sandeep	PROPN
cana-4511	169	27	shinde	shinde	PROPN
cana-4511	169	28	et	et	PROPN
cana-4511	169	29	.	.	PUNCT
cana-4511	170	1	al	al	PROPN
cana-4511	170	2	.	.	PUNCT
cana-4511	171	1	[	[	X
cana-4511	171	2	25	25	NUM
cana-4511	171	3	]	]	PUNCT
cana-4511	171	4	.	.	PUNCT
cana-4511	172	1	in	in	ADP
cana-4511	172	2	2010	2010	NUM
cana-4511	172	3	,	,	PUNCT
cana-4511	172	4	alazzawi	alazzawi	PROPN
cana-4511	172	5	et	et	PROPN
cana-4511	172	6	.	.	PUNCT
cana-4511	173	1	al	al	PROPN
cana-4511	173	2	.	.	PUNCT
cana-4511	174	1	[	[	X
cana-4511	174	2	26	26	NUM
cana-4511	174	3	]	]	PUNCT
cana-4511	174	4	worked	work	VERB
cana-4511	174	5	on	on	ADP
cana-4511	174	6	the	the	DET
cana-4511	174	7	deep	deep	ADJ
cana-4511	174	8	beams	beam	NOUN
cana-4511	174	9	on	on	ADP
cana-4511	174	10	nonlinear	nonlinear	ADJ
cana-4511	174	11	elastic	elastic	ADJ
cana-4511	174	12	foundations	foundation	NOUN
cana-4511	174	13	using	use	VERB
cana-4511	174	14	fem	fem	PROPN
cana-4511	174	15	.	.	PUNCT
cana-4511	175	1	figure	figure	VERB
cana-4511	175	2	10	10	NUM
cana-4511	175	3	:	:	PUNCT
cana-4511	175	4	modelling	modelling	NOUN
cana-4511	175	5	of	of	ADP
cana-4511	175	6	rail	rail	NOUN
cana-4511	175	7	track	track	NOUN
cana-4511	175	8	–	–	PUNCT
cana-4511	175	9	1	1	NUM
cana-4511	175	10	–	–	PUNCT
cana-4511	175	11	d	d	NOUN
cana-4511	175	12	modelling	modelling	NOUN
cana-4511	175	13	–	–	PUNCT
cana-4511	175	14	boundary	boundary	ADJ
cana-4511	175	15	conditions	condition	NOUN
cana-4511	175	16	communications	communication	NOUN
cana-4511	175	17	on	on	ADP
cana-4511	175	18	applied	apply	VERB
cana-4511	175	19	nonlinear	nonlinear	ADJ
cana-4511	175	20	analysis	analysis	NOUN
cana-4511	175	21	issn	issn	NOUN
cana-4511	175	22	:	:	PUNCT
cana-4511	175	23	1074	1074	NUM
cana-4511	175	24	-	-	PUNCT
cana-4511	175	25	133x	133x	NUM
cana-4511	175	26	vol	vol	NOUN
cana-4511	175	27	32	32	NUM
cana-4511	176	1	no	no	NOUN
cana-4511	176	2	.	.	PUNCT
cana-4511	177	1	9s	9s	NUM
cana-4511	177	2	(	(	PUNCT
cana-4511	177	3	2025	2025	NUM
cana-4511	177	4	)	)	PUNCT
cana-4511	177	5	2267	2267	NUM
cana-4511	177	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4511	177	7	considering	consider	VERB
cana-4511	177	8	point	point	NOUN
cana-4511	177	9	load	load	NOUN
cana-4511	177	10	at	at	ADP
cana-4511	177	11	center	center	NOUN
cana-4511	177	12	;	;	PUNCT
cana-4511	177	13	simulated	simulate	VERB
cana-4511	177	14	the	the	DET
cana-4511	177	15	model	model	NOUN
cana-4511	177	16	for	for	ADP
cana-4511	177	17	various	various	ADJ
cana-4511	177	18	load	load	NOUN
cana-4511	177	19	steps	step	NOUN
cana-4511	177	20	from	from	ADP
cana-4511	177	21	(	(	PUNCT
cana-4511	177	22	0	0	NUM
cana-4511	177	23	–	–	PUNCT
cana-4511	177	24	250	250	NUM
cana-4511	177	25	kn	kn	PROPN
cana-4511	177	26	)	)	PUNCT
cana-4511	177	27	and	and	CCONJ
cana-4511	177	28	obtained	obtain	VERB
cana-4511	177	29	plot	plot	NOUN
cana-4511	177	30	of	of	ADP
cana-4511	177	31	length	length	NOUN
cana-4511	177	32	vs.	vs.	ADP
cana-4511	177	33	deflection	deflection	NOUN
cana-4511	177	34	from	from	ADP
cana-4511	177	35	it	it	PRON
cana-4511	177	36	.	.	PUNCT
cana-4511	178	1	the	the	DET
cana-4511	178	2	linear	linear	ADJ
cana-4511	178	3	model	model	NOUN
cana-4511	178	4	consists	consist	VERB
cana-4511	178	5	of	of	ADP
cana-4511	178	6	the	the	DET
cana-4511	178	7	linear	linear	ADJ
cana-4511	178	8	spring	spring	NOUN
cana-4511	178	9	stiffness	stiffness	NOUN
cana-4511	178	10	.	.	PUNCT
cana-4511	179	1	the	the	DET
cana-4511	179	2	non	non	ADJ
cana-4511	179	3	-	-	ADJ
cana-4511	179	4	linear	linear	ADJ
cana-4511	179	5	model	model	NOUN
cana-4511	179	6	consists	consist	VERB
cana-4511	179	7	of	of	ADP
cana-4511	179	8	the	the	DET
cana-4511	179	9	non	non	ADJ
cana-4511	179	10	-	-	ADJ
cana-4511	179	11	linear	linear	ADJ
cana-4511	179	12	spring	spring	NOUN
cana-4511	179	13	stiffness	stiffness	NOUN
cana-4511	179	14	[	[	X
cana-4511	179	15	based	base	VERB
cana-4511	179	16	on	on	ADP
cana-4511	179	17	the	the	DET
cana-4511	179	18	load	load	NOUN
cana-4511	179	19	–	–	PUNCT
cana-4511	179	20	deflection	deflection	NOUN
cana-4511	179	21	curve	curve	NOUN
cana-4511	179	22	and	and	CCONJ
cana-4511	179	23	the	the	DET
cana-4511	179	24	non	non	ADJ
cana-4511	179	25	-	-	ADJ
cana-4511	179	26	linear	linear	ADJ
cana-4511	179	27	spring	spring	NOUN
cana-4511	179	28	stiffness	stiffness	NOUN
cana-4511	179	29	[	[	X
cana-4511	179	30	based	base	VERB
cana-4511	179	31	on	on	ADP
cana-4511	179	32	the	the	DET
cana-4511	179	33	load	load	NOUN
cana-4511	179	34	–	–	PUNCT
cana-4511	179	35	deflection	deflection	NOUN
cana-4511	179	36	curve	curve	NOUN
cana-4511	179	37	]	]	PUNCT
cana-4511	179	38	of	of	ADP
cana-4511	179	39	the	the	DET
cana-4511	179	40	grp	grp	PROPN
cana-4511	179	41	.	.	PROPN
cana-4511	180	1	4.3	4.3	NUM
cana-4511	180	2	.	.	PUNCT
cana-4511	180	3	results	result	NOUN
cana-4511	180	4	of	of	ADP
cana-4511	180	5	rail	rail	NOUN
cana-4511	180	6	track	track	NOUN
cana-4511	180	7	–	–	PUNCT
cana-4511	180	8	beam	beam	NOUN
cana-4511	180	9	on	on	ADP
cana-4511	180	10	elastic	elastic	ADJ
cana-4511	180	11	foundation	foundation	NOUN
cana-4511	180	12	(	(	PUNCT
cana-4511	180	13	boef	boef	PROPN
cana-4511	180	14	):	):	PUNCT
cana-4511	180	15	following	follow	VERB
cana-4511	180	16	fig	fig	NOUN
cana-4511	180	17	.	.	PUNCT
cana-4511	181	1	describes	describe	VERB
cana-4511	181	2	the	the	DET
cana-4511	181	3	rail	rail	NOUN
cana-4511	181	4	deflection	deflection	NOUN
cana-4511	181	5	based	base	VERB
cana-4511	181	6	on	on	ADP
cana-4511	181	7	the	the	DET
cana-4511	181	8	linear	linear	ADJ
cana-4511	181	9	and	and	CCONJ
cana-4511	181	10	non	non	ADJ
cana-4511	181	11	-	-	ADJ
cana-4511	181	12	linear	linear	ADJ
cana-4511	181	13	spring	spring	NOUN
cana-4511	181	14	effects	effect	NOUN
cana-4511	181	15	.	.	PUNCT
cana-4511	182	1	figure	figure	VERB
cana-4511	182	2	11	11	NUM
cana-4511	182	3	:	:	PUNCT
cana-4511	182	4	deflection	deflection	NOUN
cana-4511	182	5	of	of	ADP
cana-4511	182	6	rail	rail	NOUN
cana-4511	182	7	track	track	NOUN
cana-4511	182	8	–	–	PUNCT
cana-4511	182	9	linear	linear	ADJ
cana-4511	182	10	and	and	CCONJ
cana-4511	182	11	non	non	ADJ
cana-4511	182	12	-	-	ADJ
cana-4511	182	13	linear	linear	ADJ
cana-4511	182	14	springs	spring	NOUN
cana-4511	182	15	the	the	DET
cana-4511	182	16	maximum	maximum	ADJ
cana-4511	182	17	displacement	displacement	ADJ
cana-4511	182	18	results	result	NOUN
cana-4511	182	19	are	be	AUX
cana-4511	182	20	compared	compare	VERB
cana-4511	182	21	between	between	ADP
cana-4511	182	22	the	the	DET
cana-4511	182	23	theoretical	theoretical	ADJ
cana-4511	182	24	and	and	CCONJ
cana-4511	182	25	numerical	numerical	ADJ
cana-4511	182	26	results	result	NOUN
cana-4511	182	27	found	find	VERB
cana-4511	182	28	using	use	VERB
cana-4511	182	29	ansys	ansys	PROPN
cana-4511	182	30	software	software	NOUN
cana-4511	182	31	vary	vary	VERB
cana-4511	182	32	by	by	ADP
cana-4511	182	33	3.65	3.65	NUM
cana-4511	182	34	%	%	NOUN
cana-4511	182	35	when	when	SCONJ
cana-4511	182	36	the	the	DET
cana-4511	182	37	linear	linear	ADJ
cana-4511	182	38	stiffness	stiffness	NOUN
cana-4511	182	39	specified	specify	VERB
cana-4511	182	40	for	for	ADP
cana-4511	182	41	the	the	DET
cana-4511	182	42	rail	rail	NOUN
cana-4511	182	43	pad	pad	NOUN
cana-4511	182	44	.	.	PUNCT
cana-4511	183	1	whereas	whereas	SCONJ
cana-4511	183	2	,	,	PUNCT
cana-4511	183	3	the	the	DET
cana-4511	183	4	maximum	maximum	ADJ
cana-4511	183	5	displacement	displacement	ADJ
cana-4511	183	6	results	result	NOUN
cana-4511	183	7	are	be	AUX
cana-4511	183	8	compared	compare	VERB
cana-4511	183	9	between	between	ADP
cana-4511	183	10	the	the	DET
cana-4511	183	11	theoretical	theoretical	ADJ
cana-4511	183	12	and	and	CCONJ
cana-4511	183	13	numerical	numerical	ADJ
cana-4511	183	14	results	result	NOUN
cana-4511	183	15	found	find	VERB
cana-4511	183	16	using	use	VERB
cana-4511	183	17	ansys	ansys	PROPN
cana-4511	183	18	software	software	NOUN
cana-4511	183	19	vary	vary	VERB
cana-4511	183	20	by	by	ADP
cana-4511	183	21	3.88	3.88	NUM
cana-4511	183	22	%	%	NOUN
cana-4511	183	23	when	when	SCONJ
cana-4511	183	24	the	the	DET
cana-4511	183	25	non	non	ADJ
cana-4511	183	26	-	-	ADJ
cana-4511	183	27	linear	linear	ADJ
cana-4511	183	28	stiffness	stiffness	NOUN
cana-4511	183	29	specified	specify	VERB
cana-4511	183	30	for	for	ADP
cana-4511	183	31	the	the	DET
cana-4511	183	32	rail	rail	NOUN
cana-4511	183	33	pad	pad	NOUN
cana-4511	183	34	.	.	PUNCT
cana-4511	184	1	track	track	NOUN
cana-4511	184	2	modulus	modulus	NOUN
cana-4511	184	3	based	base	VERB
cana-4511	184	4	on	on	ADP
cana-4511	184	5	linear	linear	ADJ
cana-4511	184	6	behavior	behavior	NOUN
cana-4511	184	7	of	of	ADP
cana-4511	184	8	the	the	DET
cana-4511	184	9	grp	grp	NOUN
cana-4511	184	10	:	:	PUNCT
cana-4511	184	11	𝐸	𝐸	NOUN
cana-4511	184	12	=	=	SYM
cana-4511	184	13	2	2	NUM
cana-4511	184	14	×	×	NOUN
cana-4511	184	15	105	105	NUM
cana-4511	184	16	𝑁/𝑚𝑚2	𝑁/𝑚𝑚2	PROPN
cana-4511	184	17	=	=	SYM
cana-4511	184	18	2	2	NUM
cana-4511	184	19	×	×	NOUN
cana-4511	184	20	1011	1011	NUM
cana-4511	184	21	𝑁/𝑚2	𝑁/𝑚2	PROPN
cana-4511	185	1	𝐼	𝐼	ADP
cana-4511	185	2	=	=	SYM
cana-4511	185	3	3.047	3.047	NUM
cana-4511	185	4	×	×	NOUN
cana-4511	185	5	107	107	NUM
cana-4511	185	6	𝑚𝑚4	𝑚𝑚4	NOUN
cana-4511	185	7	=	=	NOUN
cana-4511	185	8	3.047	3.047	NUM
cana-4511	185	9	×	×	NOUN
cana-4511	185	10	10−5𝑚4	10−5𝑚4	NUM
cana-4511	185	11	𝑘	𝑘	X
cana-4511	185	12	=	=	SYM
cana-4511	185	13	60000	60000	NUM
cana-4511	185	14	𝑁	𝑁	NOUN
cana-4511	185	15	𝑚𝑚	𝑚𝑚	ADP
cana-4511	185	16	=	=	SYM
cana-4511	185	17	60	60	NUM
cana-4511	185	18	×	×	NOUN
cana-4511	185	19	106	106	NUM
cana-4511	185	20	𝑁/𝑚	𝑁/𝑚	VERB
cana-4511	185	21	the	the	DET
cana-4511	185	22	deflection	deflection	NOUN
cana-4511	185	23	of	of	ADP
cana-4511	185	24	rail	rail	NOUN
cana-4511	185	25	is	be	AUX
cana-4511	185	26	given	give	VERB
cana-4511	185	27	as	as	SCONJ
cana-4511	185	28	𝒚	𝒚	PROPN
cana-4511	185	29	=	=	SYM
cana-4511	185	30	𝜷.𝒑	𝜷.𝒑	PROPN
cana-4511	185	31	𝟐𝑲	𝟐𝑲	ADJ
cana-4511	185	32	length	length	NOUN
cana-4511	185	33	of	of	ADP
cana-4511	185	34	boef	boef	NOUN
cana-4511	185	35	is	be	AUX
cana-4511	185	36	𝜷	𝜷	NOUN
cana-4511	185	37	=	=	NOUN
cana-4511	185	38	√	√	PROPN
cana-4511	186	1	𝑲	𝑲	PROPN
cana-4511	186	2	𝟒𝑬𝑰	𝟒𝑬𝑰	PROPN
cana-4511	186	3	𝟒	𝟒	NUM
cana-4511	186	4	=	=	SYM
cana-4511	186	5	√	√	ADJ
cana-4511	186	6	𝟔𝟎×𝟏𝟎𝟔	𝟔𝟎×𝟏𝟎𝟔	NOUN
cana-4511	186	7	𝟒×𝟐×𝟏𝟎𝟏𝟏×𝟑.𝟎𝟒𝟕×𝟏𝟎−𝟓	𝟒×𝟐×𝟏𝟎𝟏𝟏×𝟑.𝟎𝟒𝟕×𝟏𝟎−𝟓	PROPN
cana-4511	186	8	𝟒	𝟒	PROPN
cana-4511	186	9	=	=	SYM
cana-4511	186	10	𝟏.	𝟏.	NOUN
cana-4511	186	11	𝟐𝟓𝟐𝟓	𝟐𝟓𝟐𝟓	NUM
cana-4511	186	12	𝒎	𝒎	SYM
cana-4511	186	13	displacement	displacement	NOUN
cana-4511	186	14	of	of	ADP
cana-4511	186	15	rail	rail	NOUN
cana-4511	186	16	y1=	y1=	PROPN
cana-4511	186	17	0.1043	0.1043	NUM
cana-4511	186	18	mm	mm	PROPN
cana-4511	186	19	y2=	y2=	PROPN
cana-4511	186	20	0.2087	0.2087	NUM
cana-4511	186	21	mm	mm	NUM
cana-4511	186	22	y3=	y3=	NOUN
cana-4511	186	23	0.3131	0.3131	NUM
cana-4511	186	24	mm	mm	NUM
cana-4511	186	25	y4=	y4=	NOUN
cana-4511	186	26	0.4175	0.4175	NUM
cana-4511	187	1	mm	mm	PROPN
cana-4511	187	2	y5=	y5=	PROPN
cana-4511	187	3	0.5218	0.5218	NUM
cana-4511	187	4	mm	mm	PROPN
cana-4511	187	5	y6=	y6=	PROPN
cana-4511	187	6	0.6262	0.6262	NUM
cana-4511	187	7	mm	mm	PROPN
cana-4511	187	8	y7=	y7=	PROPN
cana-4511	187	9	0.7306	0.7306	NUM
cana-4511	188	1	mm	mm	INTJ
cana-4511	188	2	y8=	y8=	PROPN
cana-4511	188	3	0.835	0.835	NUM
cana-4511	188	4	mm	mm	INTJ
cana-4511	188	5	y9=	y9=	PROPN
cana-4511	189	1	0.9393	0.9393	NUM
cana-4511	189	2	mm	mm	INTJ
cana-4511	189	3	y10=	y10=	PROPN
cana-4511	189	4	1.043	1.043	NUM
cana-4511	189	5	mm	mm	NOUN
cana-4511	189	6	theoretical	theoretical	ADJ
cana-4511	189	7	and	and	CCONJ
cana-4511	189	8	ansys	ansys	PROPN
cana-4511	189	9	results	result	NOUN
cana-4511	189	10	for	for	ADP
cana-4511	189	11	maximum	maximum	ADJ
cana-4511	189	12	displacement	displacement	NOUN
cana-4511	189	13	in	in	ADP
cana-4511	189	14	rail	rail	NOUN
cana-4511	189	15	are	be	AUX
cana-4511	189	16	tabulated	tabulate	VERB
cana-4511	189	17	as	as	ADP
cana-4511	189	18	fig.12	fig.12	NOUN
cana-4511	189	19	:	:	PUNCT
cana-4511	189	20	communications	communication	NOUN
cana-4511	189	21	on	on	ADP
cana-4511	189	22	applied	apply	VERB
cana-4511	189	23	nonlinear	nonlinear	ADJ
cana-4511	189	24	analysis	analysis	NOUN
cana-4511	189	25	issn	issn	NOUN
cana-4511	189	26	:	:	PUNCT
cana-4511	189	27	1074	1074	NUM
cana-4511	189	28	-	-	PUNCT
cana-4511	189	29	133x	133x	NUM
cana-4511	189	30	vol	vol	NOUN
cana-4511	189	31	32	32	NUM
cana-4511	189	32	no	no	NOUN
cana-4511	189	33	.	.	PUNCT
cana-4511	190	1	9s	9s	NUM
cana-4511	190	2	(	(	PUNCT
cana-4511	190	3	2025	2025	NUM
cana-4511	190	4	)	)	PUNCT
cana-4511	190	5	2268	2268	NUM
cana-4511	190	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4511	190	7	figure	figure	NOUN
cana-4511	190	8	12	12	NUM
cana-4511	190	9	:	:	PUNCT
cana-4511	190	10	theoretical	theoretical	ADJ
cana-4511	190	11	and	and	CCONJ
cana-4511	190	12	ansys	ansys	PROPN
cana-4511	190	13	results	result	NOUN
cana-4511	190	14	for	for	ADP
cana-4511	190	15	maximum	maximum	ADJ
cana-4511	190	16	displacement	displacement	NOUN
cana-4511	190	17	in	in	ADP
cana-4511	190	18	rail	rail	NOUN
cana-4511	190	19	the	the	DET
cana-4511	190	20	displacement	displacement	NOUN
cana-4511	190	21	of	of	ADP
cana-4511	190	22	rail	rail	NOUN
cana-4511	190	23	is	be	AUX
cana-4511	190	24	plotted	plot	VERB
cana-4511	190	25	against	against	ADP
cana-4511	190	26	the	the	DET
cana-4511	190	27	track	track	NOUN
cana-4511	190	28	length	length	NOUN
cana-4511	190	29	in	in	ADP
cana-4511	190	30	the	the	DET
cana-4511	190	31	figure	figure	NOUN
cana-4511	190	32	11	11	NUM
cana-4511	190	33	with	with	ADP
cana-4511	190	34	the	the	DET
cana-4511	190	35	linear	linear	ADJ
cana-4511	190	36	and	and	CCONJ
cana-4511	190	37	nonlinear	nonlinear	ADJ
cana-4511	190	38	behavior	behavior	NOUN
cana-4511	190	39	of	of	ADP
cana-4511	190	40	the	the	DET
cana-4511	190	41	rail	rail	NOUN
cana-4511	190	42	pad	pad	NOUN
cana-4511	190	43	.	.	PUNCT
cana-4511	191	1	figure	figure	NOUN
cana-4511	191	2	13	13	NUM
cana-4511	191	3	:	:	PUNCT
cana-4511	191	4	displacement	displacement	ADJ
cana-4511	191	5	variation	variation	NOUN
cana-4511	191	6	along	along	ADP
cana-4511	191	7	the	the	DET
cana-4511	191	8	length	length	NOUN
cana-4511	191	9	of	of	ADP
cana-4511	191	10	rail	rail	NOUN
cana-4511	191	11	(	(	PUNCT
cana-4511	191	12	comparison	comparison	NOUN
cana-4511	191	13	of	of	ADP
cana-4511	191	14	rail	rail	NOUN
cana-4511	191	15	supported	support	VERB
cana-4511	191	16	by	by	ADP
cana-4511	191	17	linear	linear	PROPN
cana-4511	191	18	and	and	CCONJ
cana-4511	191	19	non	non	ADJ
cana-4511	191	20	-	-	ADJ
cana-4511	191	21	linear	linear	ADJ
cana-4511	191	22	stiffness	stiffness	NOUN
cana-4511	191	23	)	)	PUNCT
cana-4511	191	24	figure	figure	NOUN
cana-4511	191	25	14	14	NUM
cana-4511	191	26	:	:	PUNCT
cana-4511	191	27	close	close	ADJ
cana-4511	191	28	look	look	NOUN
cana-4511	191	29	at	at	ADP
cana-4511	191	30	the	the	DET
cana-4511	191	31	displacement	displacement	ADJ
cana-4511	191	32	variation	variation	NOUN
cana-4511	191	33	along	along	ADP
cana-4511	191	34	the	the	DET
cana-4511	191	35	length	length	NOUN
cana-4511	191	36	of	of	ADP
cana-4511	191	37	rail	rail	NOUN
cana-4511	191	38	communications	communication	NOUN
cana-4511	191	39	on	on	ADP
cana-4511	191	40	applied	apply	VERB
cana-4511	191	41	nonlinear	nonlinear	ADJ
cana-4511	191	42	analysis	analysis	NOUN
cana-4511	191	43	issn	issn	NOUN
cana-4511	191	44	:	:	PUNCT
cana-4511	191	45	1074	1074	NUM
cana-4511	191	46	-	-	PUNCT
cana-4511	191	47	133x	133x	NUM
cana-4511	191	48	vol	vol	NOUN
cana-4511	191	49	32	32	NUM
cana-4511	192	1	no	no	NOUN
cana-4511	192	2	.	.	PUNCT
cana-4511	193	1	9s	9s	NUM
cana-4511	193	2	(	(	PUNCT
cana-4511	193	3	2025	2025	NUM
cana-4511	193	4	)	)	PUNCT
cana-4511	193	5	2269	2269	NUM
cana-4511	193	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4511	193	7	5	5	NUM
cana-4511	193	8	.	.	X
cana-4511	194	1	conclusion	conclusion	NOUN
cana-4511	194	2	:	:	PUNCT
cana-4511	194	3	a	a	DET
cana-4511	194	4	close	close	ADJ
cana-4511	194	5	examination	examination	NOUN
cana-4511	194	6	of	of	ADP
cana-4511	194	7	fig.13	fig.13	PROPN
cana-4511	194	8	and	and	CCONJ
cana-4511	194	9	fig	fig	NOUN
cana-4511	194	10	14	14	NUM
cana-4511	194	11	reveals	reveal	NOUN
cana-4511	194	12	following	follow	VERB
cana-4511	194	13	observations	observation	NOUN
cana-4511	194	14	:	:	PUNCT
cana-4511	194	15	1	1	X
cana-4511	194	16	.	.	X
cana-4511	194	17	experimental	experimental	ADJ
cana-4511	194	18	and	and	CCONJ
cana-4511	194	19	simulated	simulate	VERB
cana-4511	194	20	results	result	NOUN
cana-4511	194	21	validate	validate	VERB
cana-4511	194	22	the	the	DET
cana-4511	194	23	non	non	ADJ
cana-4511	194	24	-	-	ADJ
cana-4511	194	25	linear	linear	ADJ
cana-4511	194	26	stiffness	stiffness	NOUN
cana-4511	194	27	varies	vary	VERB
cana-4511	194	28	non	non	ADJ
cana-4511	194	29	-	-	ADJ
cana-4511	194	30	linearly	linearly	ADV
cana-4511	194	31	having	have	VERB
cana-4511	194	32	a	a	DET
cana-4511	194	33	quadratic	quadratic	ADJ
cana-4511	194	34	behaviour	behaviour	NOUN
cana-4511	194	35	.	.	PUNCT
cana-4511	195	1	2	2	X
cana-4511	195	2	.	.	X
cana-4511	195	3	the	the	DET
cana-4511	195	4	maximum	maximum	ADJ
cana-4511	195	5	displacement	displacement	NOUN
cana-4511	195	6	of	of	ADP
cana-4511	195	7	the	the	DET
cana-4511	195	8	rail	rail	NOUN
cana-4511	195	9	with	with	ADP
cana-4511	195	10	non	non	ADJ
cana-4511	195	11	-	-	ADJ
cana-4511	195	12	linear	linear	ADJ
cana-4511	195	13	stiffness	stiffness	NOUN
cana-4511	195	14	(	(	PUNCT
cana-4511	195	15	3.4	3.4	NUM
cana-4511	195	16	mm	mm	NOUN
cana-4511	195	17	)	)	PUNCT
cana-4511	195	18	is	be	AUX
cana-4511	195	19	approximately	approximately	ADV
cana-4511	195	20	three	three	NUM
cana-4511	195	21	times	time	NOUN
cana-4511	195	22	against	against	ADP
cana-4511	195	23	the	the	DET
cana-4511	195	24	rail	rail	NOUN
cana-4511	195	25	with	with	ADP
cana-4511	195	26	linear	linear	ADJ
cana-4511	195	27	stiffness	stiffness	NOUN
cana-4511	195	28	behaviour	behaviour	NOUN
cana-4511	195	29	(	(	PUNCT
cana-4511	195	30	1.08	1.08	NUM
cana-4511	195	31	mm	mm	NOUN
cana-4511	195	32	)	)	PUNCT
cana-4511	195	33	.	.	PUNCT
cana-4511	196	1	3	3	X
cana-4511	196	2	.	.	X
cana-4511	196	3	the	the	DET
cana-4511	196	4	maximum	maximum	ADJ
cana-4511	196	5	upward	upward	ADJ
cana-4511	196	6	lift	lift	NOUN
cana-4511	196	7	of	of	ADP
cana-4511	196	8	the	the	DET
cana-4511	196	9	rail	rail	NOUN
cana-4511	196	10	with	with	ADP
cana-4511	196	11	non	non	ADJ
cana-4511	196	12	-	-	ADJ
cana-4511	196	13	linear	linear	ADJ
cana-4511	196	14	stiffness	stiffness	NOUN
cana-4511	196	15	(	(	PUNCT
cana-4511	196	16	2.0	2.0	NUM
cana-4511	196	17	mm	mm	NOUN
cana-4511	196	18	)	)	PUNCT
cana-4511	196	19	is	be	AUX
cana-4511	196	20	approximately	approximately	ADV
cana-4511	196	21	three	three	NUM
cana-4511	196	22	times	time	NOUN
cana-4511	196	23	against	against	ADP
cana-4511	196	24	the	the	DET
cana-4511	196	25	rail	rail	NOUN
cana-4511	196	26	with	with	ADP
cana-4511	196	27	linear	linear	ADJ
cana-4511	196	28	stiffness	stiffness	NOUN
cana-4511	196	29	(	(	PUNCT
cana-4511	196	30	0.08	0.08	NUM
cana-4511	196	31	mm	mm	NOUN
cana-4511	196	32	)	)	PUNCT
cana-4511	196	33	.	.	PUNCT
cana-4511	197	1	4	4	X
cana-4511	197	2	.	.	X
cana-4511	197	3	the	the	DET
cana-4511	197	4	distance	distance	NOUN
cana-4511	197	5	[	[	X
cana-4511	197	6	band	band	NOUN
cana-4511	197	7	or	or	CCONJ
cana-4511	197	8	width	width	NOUN
cana-4511	197	9	]	]	PUNCT
cana-4511	197	10	between	between	ADP
cana-4511	197	11	zero	zero	NUM
cana-4511	197	12	deflection	deflection	NOUN
cana-4511	197	13	points	point	NOUN
cana-4511	197	14	of	of	ADP
cana-4511	197	15	the	the	DET
cana-4511	197	16	rail	rail	NOUN
cana-4511	197	17	with	with	ADP
cana-4511	197	18	non	non	ADJ
cana-4511	197	19	-	-	ADJ
cana-4511	197	20	linear	linear	ADJ
cana-4511	197	21	stiffness	stiffness	NOUN
cana-4511	197	22	(	(	PUNCT
cana-4511	197	23	4.28	4.28	NUM
cana-4511	197	24	m	m	NOUN
cana-4511	197	25	)	)	PUNCT
cana-4511	197	26	is	be	AUX
cana-4511	197	27	approximately	approximately	ADV
cana-4511	197	28	two	two	NUM
cana-4511	197	29	times	time	NOUN
cana-4511	197	30	against	against	ADP
cana-4511	197	31	the	the	DET
cana-4511	197	32	rail	rail	NOUN
cana-4511	197	33	with	with	ADP
cana-4511	197	34	linear	linear	ADJ
cana-4511	197	35	stiffness	stiffness	NOUN
cana-4511	197	36	(	(	PUNCT
cana-4511	197	37	2.0	2.0	NUM
cana-4511	197	38	mm	mm	NOUN
cana-4511	197	39	)	)	PUNCT
cana-4511	197	40	.	.	PUNCT
cana-4511	198	1	5	5	X
cana-4511	198	2	.	.	X
cana-4511	198	3	the	the	DET
cana-4511	198	4	band	band	NOUN
cana-4511	198	5	of	of	ADP
cana-4511	198	6	track	track	NOUN
cana-4511	198	7	between	between	ADP
cana-4511	198	8	the	the	DET
cana-4511	198	9	zero	zero	NUM
cana-4511	198	10	deflection	deflection	NOUN
cana-4511	198	11	and	and	CCONJ
cana-4511	198	12	maximum	maximum	ADJ
cana-4511	198	13	displacement	displacement	NOUN
cana-4511	198	14	is	be	AUX
cana-4511	198	15	given	give	VERB
cana-4511	198	16	as	as	ADP
cana-4511	198	17	;	;	PUNCT
cana-4511	198	18	π/4β	π/4β	PUNCT
cana-4511	198	19	ratio	ratio	NOUN
cana-4511	198	20	of	of	ADP
cana-4511	198	21	π	π	PROPN
cana-4511	198	22	against	against	ADP
cana-4511	198	23	the	the	DET
cana-4511	198	24	length	length	NOUN
cana-4511	198	25	of	of	ADP
cana-4511	198	26	boef	boef	NOUN
cana-4511	198	27	of	of	ADP
cana-4511	198	28	the	the	DET
cana-4511	198	29	rail	rail	NOUN
cana-4511	198	30	with	with	ADP
cana-4511	198	31	non	non	ADJ
cana-4511	198	32	-	-	ADJ
cana-4511	198	33	linear	linear	ADJ
cana-4511	198	34	stiffness	stiffness	NOUN
cana-4511	198	35	(	(	PUNCT
cana-4511	198	36	2.0	2.0	NUM
cana-4511	198	37	m	m	NOUN
cana-4511	198	38	)	)	PUNCT
cana-4511	198	39	is	be	AUX
cana-4511	198	40	approximately	approximately	ADV
cana-4511	198	41	two	two	NUM
cana-4511	198	42	times	time	NOUN
cana-4511	198	43	against	against	ADP
cana-4511	198	44	the	the	DET
cana-4511	198	45	rail	rail	NOUN
cana-4511	198	46	with	with	ADP
cana-4511	198	47	linear	linear	ADJ
cana-4511	198	48	stiffness	stiffness	NOUN
cana-4511	198	49	(	(	PUNCT
cana-4511	198	50	1.0	1.0	NUM
cana-4511	198	51	m	m	NOUN
cana-4511	198	52	)	)	PUNCT
cana-4511	198	53	.	.	PUNCT
cana-4511	199	1	6	6	X
cana-4511	199	2	.	.	X
cana-4511	199	3	the	the	DET
cana-4511	199	4	length	length	NOUN
cana-4511	199	5	of	of	ADP
cana-4511	199	6	boef	boef	NOUN
cana-4511	199	7	of	of	ADP
cana-4511	199	8	the	the	DET
cana-4511	199	9	rail	rail	NOUN
cana-4511	199	10	,	,	PUNCT
cana-4511	199	11	which	which	PRON
cana-4511	199	12	is	be	AUX
cana-4511	199	13	affected	affect	VERB
cana-4511	199	14	due	due	ADJ
cana-4511	199	15	to	to	PART
cana-4511	199	16	point	point	NOUN
cana-4511	199	17	load	load	NOUN
cana-4511	199	18	,	,	PUNCT
cana-4511	199	19	of	of	ADP
cana-4511	199	20	the	the	DET
cana-4511	199	21	rail	rail	NOUN
cana-4511	199	22	with	with	ADP
cana-4511	199	23	nonlinear	nonlinear	ADJ
cana-4511	199	24	stiffness	stiffness	NOUN
cana-4511	199	25	(	(	PUNCT
cana-4511	199	26	12.5	12.5	NUM
cana-4511	199	27	m	m	NOUN
cana-4511	199	28	)	)	PUNCT
cana-4511	199	29	is	be	AUX
cana-4511	199	30	approximately	approximately	ADV
cana-4511	199	31	three	three	NUM
cana-4511	199	32	times	time	NOUN
cana-4511	199	33	against	against	ADP
cana-4511	199	34	the	the	DET
cana-4511	199	35	rail	rail	NOUN
cana-4511	199	36	with	with	ADP
cana-4511	199	37	linear	linear	ADJ
cana-4511	199	38	stiffness	stiffness	NOUN
cana-4511	199	39	(	(	PUNCT
cana-4511	199	40	4.0	4.0	NUM
cana-4511	199	41	mm	mm	NOUN
cana-4511	199	42	)	)	PUNCT
cana-4511	199	43	.	.	PUNCT
cana-4511	200	1	6	6	X
cana-4511	200	2	.	.	NUM
cana-4511	200	3	references	reference	NOUN
cana-4511	200	4	[	[	X
cana-4511	200	5	1	1	NUM
cana-4511	200	6	]	]	PUNCT
cana-4511	200	7	sandeep	sandeep	PROPN
cana-4511	200	8	valji	valji	PROPN
cana-4511	200	9	shinde	shinde	PROPN
cana-4511	200	10	,	,	PUNCT
cana-4511	200	11	dr	dr	PROPN
cana-4511	200	12	.	.	PROPN
cana-4511	200	13	s.	s.	PROPN
cana-4511	200	14	s.	s.	PROPN
cana-4511	200	15	sarawade	sarawade	PROPN
cana-4511	200	16	,	,	PUNCT
cana-4511	200	17	prof	prof	NOUN
cana-4511	200	18	.	.	PUNCT
cana-4511	201	1	s.	s.	PROPN
cana-4511	201	2	k.	k.	PROPN
cana-4511	201	3	agarwal	agarwal	PROPN
cana-4511	201	4	,	,	PUNCT
cana-4511	201	5	“	"	PUNCT
cana-4511	201	6	a	a	DET
cana-4511	201	7	compact	compact	ADJ
cana-4511	201	8	review	review	NOUN
cana-4511	201	9	–	–	PUNCT
cana-4511	201	10	mathematical	mathematical	ADJ
cana-4511	201	11	modeling	modeling	NOUN
cana-4511	201	12	of	of	ADP
cana-4511	201	13	rail	rail	NOUN
cana-4511	201	14	track	track	NOUN
cana-4511	201	15	”	"	PUNCT
cana-4511	201	16	,	,	PUNCT
cana-4511	201	17	international	international	ADJ
cana-4511	201	18	journal	journal	NOUN
cana-4511	201	19	of	of	ADP
cana-4511	201	20	future	future	ADJ
cana-4511	201	21	generation	generation	NOUN
cana-4511	201	22	communication	communication	NOUN
cana-4511	201	23	and	and	CCONJ
cana-4511	201	24	networking	networking	NOUN
cana-4511	201	25	,	,	PUNCT
cana-4511	201	26	vol	vol	NOUN
cana-4511	201	27	.	.	PROPN
cana-4511	201	28	13	13	NUM
cana-4511	201	29	,	,	PUNCT
cana-4511	201	30	no	no	INTJ
cana-4511	201	31	.	.	PUNCT
cana-4511	201	32	3s	3s	NUM
cana-4511	201	33	,	,	PUNCT
cana-4511	201	34	(	(	PUNCT
cana-4511	201	35	2020	2020	NUM
cana-4511	201	36	)	)	PUNCT
cana-4511	201	37	,	,	PUNCT
cana-4511	202	1	pp	pp	ADP
cana-4511	202	2	.	.	PUNCT
cana-4511	203	1	1281–1288	1281–1288	NUM
cana-4511	203	2	[	[	SYM
cana-4511	203	3	2	2	NUM
cana-4511	203	4	]	]	X
cana-4511	203	5	d.r	d.r	PROPN
cana-4511	203	6	.	.	PROPN
cana-4511	203	7	ahlbeck	ahlbeck	PROPN
cana-4511	203	8	,	,	PUNCT
cana-4511	203	9	h.c	h.c	PROPN
cana-4511	203	10	.	.	PUNCT
cana-4511	203	11	meacham	meacham	PROPN
cana-4511	203	12	,	,	PUNCT
cana-4511	203	13	r.h	r.h	PROPN
cana-4511	203	14	.	.	PROPN
cana-4511	203	15	prause	prause	PROPN
cana-4511	203	16	,	,	PUNCT
cana-4511	203	17	“	"	PUNCT
cana-4511	203	18	the	the	DET
cana-4511	203	19	development	development	NOUN
cana-4511	203	20	of	of	ADP
cana-4511	203	21	analytical	analytical	ADJ
cana-4511	203	22	models	model	NOUN
cana-4511	203	23	for	for	ADP
cana-4511	203	24	railroad	railroad	NOUN
cana-4511	203	25	track	track	NOUN
cana-4511	203	26	dynamics	dynamic	NOUN
cana-4511	203	27	”	"	PUNCT
cana-4511	203	28	,	,	PUNCT
cana-4511	203	29	a.d	a.d	PROPN
cana-4511	203	30	.	.	PROPN
cana-4511	203	31	kerr	kerr	PROPN
cana-4511	203	32	(	(	PUNCT
cana-4511	203	33	ed	ed	NOUN
cana-4511	203	34	.	.	PUNCT
cana-4511	203	35	)	)	PUNCT
cana-4511	203	36	,	,	PUNCT
cana-4511	203	37	railroad	railroad	NOUN
cana-4511	203	38	track	track	NOUN
cana-4511	203	39	mechanics	mechanic	NOUN
cana-4511	203	40	&	&	CCONJ
cana-4511	203	41	technology	technology	NOUN
cana-4511	203	42	,	,	PUNCT
cana-4511	203	43	pergamon	pergamon	PROPN
cana-4511	203	44	press	press	PROPN
cana-4511	203	45	,	,	PUNCT
cana-4511	203	46	oxford	oxford	NOUN
cana-4511	203	47	,	,	PUNCT
cana-4511	203	48	1978	1978	NUM
cana-4511	203	49	.	.	PUNCT
cana-4511	204	1	[	[	X
cana-4511	204	2	3	3	X
cana-4511	204	3	]	]	X
cana-4511	204	4	dahlberg	dahlberg	PROPN
cana-4511	204	5	tore	tore	PROPN
cana-4511	204	6	,	,	PUNCT
cana-4511	204	7	“	"	PUNCT
cana-4511	204	8	railway	railway	NOUN
cana-4511	204	9	track	track	NOUN
cana-4511	204	10	dynamics	dynamic	VERB
cana-4511	204	11	a	a	DET
cana-4511	204	12	survey	survey	NOUN
cana-4511	204	13	”	"	PUNCT
cana-4511	204	14	,	,	PUNCT
cana-4511	204	15	linköping	linköpe	VERB
cana-4511	204	16	university	university	NOUN
cana-4511	204	17	,	,	PUNCT
cana-4511	204	18	sweden	sweden	PROPN
cana-4511	204	19	,	,	PUNCT
cana-4511	204	20	2003	2003	NUM
cana-4511	204	21	.	.	PUNCT
cana-4511	205	1	[	[	X
cana-4511	205	2	4	4	X
cana-4511	205	3	]	]	PUNCT
cana-4511	205	4	esveld	esveld	PROPN
cana-4511	205	5	c.	c.	PROPN
cana-4511	205	6	,	,	PUNCT
cana-4511	205	7	“	"	PUNCT
cana-4511	205	8	modern	modern	ADJ
cana-4511	205	9	railway	railway	NOUN
cana-4511	205	10	track	track	NOUN
cana-4511	205	11	”	"	PUNCT
cana-4511	205	12	,	,	PUNCT
cana-4511	205	13	2nd	2nd	PROPN
cana-4511	205	14	edition	edition	NOUN
cana-4511	205	15	,	,	PUNCT
cana-4511	205	16	mrt	mrt	PROPN
cana-4511	205	17	-	-	PUNCT
cana-4511	205	18	productions	production	NOUN
cana-4511	205	19	,	,	PUNCT
cana-4511	205	20	the	the	DET
cana-4511	205	21	netherlands	netherlands	PROPN
cana-4511	205	22	,	,	PUNCT
cana-4511	205	23	2001	2001	NUM
cana-4511	205	24	.	.	PUNCT
cana-4511	206	1	[	[	X
cana-4511	206	2	5	5	NUM
cana-4511	206	3	]	]	PUNCT
cana-4511	206	4	grassie	grassie	PROPN
cana-4511	206	5	s.l	s.l	PROPN
cana-4511	206	6	.	.	PROPN
cana-4511	206	7	,	,	PUNCT
cana-4511	206	8	“	"	PUNCT
cana-4511	206	9	behavior	behavior	NOUN
cana-4511	206	10	in	in	ADP
cana-4511	206	11	track	track	NOUN
cana-4511	206	12	of	of	ADP
cana-4511	206	13	concrete	concrete	ADJ
cana-4511	206	14	sleepers	sleeper	NOUN
cana-4511	206	15	with	with	ADP
cana-4511	206	16	resilient	resilient	ADJ
cana-4511	206	17	grooved	groove	VERB
cana-4511	206	18	rail	rail	NOUN
cana-4511	206	19	pads	pad	NOUN
cana-4511	206	20	”	"	PUNCT
cana-4511	206	21	,	,	PUNCT
cana-4511	206	22	proceedings	proceeding	NOUN
cana-4511	206	23	of	of	ADP
cana-4511	206	24	institute	institute	PROPN
cana-4511	206	25	of	of	ADP
cana-4511	206	26	mechanical	mechanical	ADJ
cana-4511	206	27	engineering	engineering	NOUN
cana-4511	206	28	part	part	NOUN
cana-4511	206	29	f	f	PROPN
cana-4511	206	30	,	,	PUNCT
cana-4511	206	31	203	203	NUM
cana-4511	206	32	,	,	PUNCT
cana-4511	206	33	1989	1989	NUM
cana-4511	206	34	,	,	PUNCT
cana-4511	206	35	pp	pp	ADV
cana-4511	206	36	97	97	NUM
cana-4511	206	37	-	-	SYM
cana-4511	206	38	101	101	NUM
cana-4511	206	39	.	.	PUNCT
cana-4511	207	1	[	[	X
cana-4511	207	2	6	6	NUM
cana-4511	207	3	]	]	X
cana-4511	207	4	sakdirat	sakdirat	PROPN
cana-4511	207	5	kaewunruen	kaewunruen	PROPN
cana-4511	207	6	,	,	PUNCT
cana-4511	207	7	alexander	alexander	PROPN
cana-4511	207	8	remennikov	remennikov	PROPN
cana-4511	207	9	,	,	PUNCT
cana-4511	207	10	state	state	NOUN
cana-4511	207	11	dependent	dependent	ADJ
cana-4511	207	12	properties	property	NOUN
cana-4511	207	13	of	of	ADP
cana-4511	207	14	rail	rail	NOUN
cana-4511	207	15	pad	pad	NOUN
cana-4511	207	16	,	,	PUNCT
cana-4511	207	17	university	university	PROPN
cana-4511	207	18	of	of	ADP
cana-4511	207	19	wollongong	wollongong	PROPN
cana-4511	207	20	,	,	PUNCT
cana-4511	207	21	australia	australia	PROPN
cana-4511	207	22	,	,	PUNCT
cana-4511	207	23	2009	2009	NUM
cana-4511	207	24	[	[	X
cana-4511	207	25	7	7	X
cana-4511	207	26	]	]	X
cana-4511	207	27	knothe	knothe	PROPN
cana-4511	207	28	k.	k.	PROPN
cana-4511	207	29	,	,	PUNCT
cana-4511	207	30	wu	wu	PROPN
cana-4511	207	31	y.	y.	PROPN
cana-4511	207	32	,	,	PUNCT
cana-4511	207	33	“	"	PUNCT
cana-4511	207	34	receptance	receptance	NOUN
cana-4511	207	35	behaviour	behaviour	NOUN
cana-4511	207	36	of	of	ADP
cana-4511	207	37	railway	railway	NOUN
cana-4511	207	38	track	track	NOUN
cana-4511	207	39	and	and	CCONJ
cana-4511	207	40	subgrade	subgrade	NOUN
cana-4511	207	41	”	"	PUNCT
cana-4511	207	42	,	,	PUNCT
cana-4511	207	43	archive	archive	NOUN
cana-4511	207	44	of	of	ADP
cana-4511	207	45	applied	apply	VERB
cana-4511	207	46	mechanics	mechanic	NOUN
cana-4511	207	47	,	,	PUNCT
cana-4511	207	48	68	68	NUM
cana-4511	207	49	,	,	PUNCT
cana-4511	207	50	1998	1998	NUM
cana-4511	207	51	,	,	PUNCT
cana-4511	207	52	pp	pp	ADP
cana-4511	207	53	457	457	NUM
cana-4511	207	54	-	-	SYM
cana-4511	207	55	470	470	NUM
cana-4511	207	56	[	[	NOUN
cana-4511	207	57	8	8	NUM
cana-4511	207	58	]	]	X
cana-4511	207	59	thompson	thompson	PROPN
cana-4511	207	60	d.j	d.j	PROPN
cana-4511	207	61	.	.	PROPN
cana-4511	207	62	,	,	PUNCT
cana-4511	207	63	van	van	PROPN
cana-4511	207	64	vliet	vliet	PROPN
cana-4511	207	65	w.j	w.j	PROPN
cana-4511	207	66	.	.	PROPN
cana-4511	207	67	,	,	PUNCT
cana-4511	207	68	and	and	CCONJ
cana-4511	207	69	verheij	verheij	PROPN
cana-4511	207	70	j.w	j.w	PROPN
cana-4511	207	71	.	.	PROPN
cana-4511	207	72	,	,	PUNCT
cana-4511	207	73	“	"	PUNCT
cana-4511	207	74	developments	development	NOUN
cana-4511	207	75	of	of	ADP
cana-4511	207	76	the	the	DET
cana-4511	207	77	indirect	indirect	ADJ
cana-4511	207	78	method	method	NOUN
cana-4511	207	79	for	for	ADP
cana-4511	207	80	measuring	measure	VERB
cana-4511	207	81	the	the	DET
cana-4511	207	82	high	high	ADJ
cana-4511	207	83	frequency	frequency	NOUN
cana-4511	207	84	dynamic	dynamic	ADJ
cana-4511	207	85	stiffness	stiffness	NOUN
cana-4511	207	86	of	of	ADP
cana-4511	207	87	resilient	resilient	ADJ
cana-4511	207	88	elements	element	NOUN
cana-4511	207	89	”	"	PUNCT
cana-4511	207	90	,	,	PUNCT
cana-4511	207	91	journal	journal	NOUN
cana-4511	207	92	of	of	ADP
cana-4511	207	93	sound	sound	NOUN
cana-4511	207	94	and	and	CCONJ
cana-4511	207	95	vibration	vibration	NOUN
cana-4511	207	96	,	,	PUNCT
cana-4511	207	97	213(1	213(1	NUM
cana-4511	207	98	)	)	PUNCT
cana-4511	207	99	,	,	PUNCT
cana-4511	207	100	1998	1998	NUM
cana-4511	207	101	,	,	PUNCT
cana-4511	207	102	pp	pp	ADV
cana-4511	207	103	169	169	NUM
cana-4511	207	104	-	-	SYM
cana-4511	207	105	188	188	NUM
cana-4511	207	106	.	.	PUNCT
cana-4511	208	1	[	[	X
cana-4511	208	2	9	9	NUM
cana-4511	208	3	]	]	X
cana-4511	208	4	thompson	thompson	PROPN
cana-4511	208	5	d.j	d.j	PROPN
cana-4511	208	6	.	.	PROPN
cana-4511	208	7	,	,	PUNCT
cana-4511	208	8	jones	jones	PROPN
cana-4511	208	9	c.j.c	c.j.c	PROPN
cana-4511	208	10	,	,	PUNCT
cana-4511	208	11	wu	wu	PROPN
cana-4511	208	12	t.x	t.x	PROPN
cana-4511	208	13	.	.	PROPN
cana-4511	208	14	,	,	PUNCT
cana-4511	208	15	and	and	CCONJ
cana-4511	208	16	france	france	PROPN
cana-4511	208	17	g.de	g.de	PROPN
cana-4511	208	18	,	,	PUNCT
cana-4511	208	19	“	"	PUNCT
cana-4511	208	20	the	the	DET
cana-4511	208	21	influence	influence	NOUN
cana-4511	208	22	of	of	ADP
cana-4511	208	23	the	the	DET
cana-4511	208	24	non	non	ADJ
cana-4511	208	25	-	-	ADJ
cana-4511	208	26	linear	linear	ADJ
cana-4511	208	27	stiffness	stiffness	ADJ
cana-4511	208	28	behaviour	behaviour	NOUN
cana-4511	208	29	of	of	ADP
cana-4511	208	30	grooved	groove	VERB
cana-4511	208	31	rail	rail	NOUN
cana-4511	208	32	pads	pad	NOUN
cana-4511	208	33	on	on	ADP
cana-4511	208	34	the	the	DET
cana-4511	208	35	track	track	NOUN
cana-4511	208	36	component	component	NOUN
cana-4511	208	37	of	of	ADP
cana-4511	208	38	rolling	rolling	ADJ
cana-4511	208	39	noise	noise	NOUN
cana-4511	208	40	”	"	PUNCT
cana-4511	208	41	,	,	PUNCT
cana-4511	208	42	proceedings	proceeding	NOUN
cana-4511	208	43	of	of	ADP
cana-4511	208	44	the	the	DET
cana-4511	208	45	institution	institution	NOUN
cana-4511	208	46	of	of	ADP
cana-4511	208	47	mechanical	mechanical	ADJ
cana-4511	208	48	engineers	engineer	NOUN
cana-4511	208	49	,	,	PUNCT
cana-4511	208	50	part	part	NOUN
cana-4511	208	51	f	f	NOUN
cana-4511	208	52	:	:	PUNCT
cana-4511	208	53	journal	journal	NOUN
cana-4511	208	54	of	of	ADP
cana-4511	208	55	rail	rail	NOUN
cana-4511	208	56	and	and	CCONJ
cana-4511	208	57	rapid	rapid	ADJ
cana-4511	208	58	transit	transit	NOUN
cana-4511	208	59	,	,	PUNCT
cana-4511	208	60	213	213	NUM
cana-4511	208	61	,	,	PUNCT
cana-4511	208	62	1999	1999	NUM
cana-4511	208	63	,	,	PUNCT
cana-4511	208	64	pp	pp	ADP
cana-4511	208	65	233	233	NUM
cana-4511	208	66	-	-	SYM
cana-4511	208	67	241	241	NUM
cana-4511	208	68	.	.	PUNCT
cana-4511	209	1	[	[	X
cana-4511	209	2	10	10	NUM
cana-4511	209	3	]	]	X
cana-4511	209	4	hong	hong	PROPN
cana-4511	209	5	xiao	xiao	PROPN
cana-4511	209	6	,	,	PUNCT
cana-4511	209	7	jia	jia	PROPN
cana-4511	209	8	-	-	PUNCT
cana-4511	209	9	bin	bin	PROPN
cana-4511	209	10	wang	wang	PROPN
cana-4511	209	11	,	,	PUNCT
cana-4511	209	12	yan	yan	PROPN
cana-4511	209	13	-	-	PUNCT
cana-4511	209	14	rong	rong	PROPN
cana-4511	209	15	zhang	zhang	PROPN
cana-4511	209	16	,	,	PUNCT
cana-4511	209	17	“	"	PUNCT
cana-4511	209	18	the	the	DET
cana-4511	209	19	fractures	fracture	NOUN
cana-4511	209	20	of	of	ADP
cana-4511	209	21	e	e	NOUN
cana-4511	209	22	-	-	NOUN
cana-4511	209	23	type	type	NOUN
cana-4511	209	24	fastening	fastening	NOUN
cana-4511	209	25	clips	clip	NOUN
cana-4511	209	26	used	use	VERB
cana-4511	209	27	in	in	ADP
cana-4511	209	28	the	the	DET
cana-4511	209	29	subway	subway	NOUN
cana-4511	209	30	:	:	PUNCT
cana-4511	209	31	theory	theory	NOUN
cana-4511	209	32	and	and	CCONJ
cana-4511	209	33	experiment	experiment	NOUN
cana-4511	209	34	”	"	PUNCT
cana-4511	209	35	,	,	PUNCT
cana-4511	209	36	engineering	engineer	VERB
cana-4511	209	37	failure	failure	NOUN
cana-4511	209	38	analysis	analysis	NOUN
cana-4511	209	39	,	,	PUNCT
cana-4511	209	40	2017	2017	NUM
cana-4511	209	41	.	.	PUNCT
cana-4511	209	42	communications	communication	NOUN
cana-4511	209	43	on	on	ADP
cana-4511	209	44	applied	apply	VERB
cana-4511	209	45	nonlinear	nonlinear	ADJ
cana-4511	209	46	analysis	analysis	NOUN
cana-4511	209	47	issn	issn	NOUN
cana-4511	209	48	:	:	PUNCT
cana-4511	209	49	1074	1074	NUM
cana-4511	209	50	-	-	PUNCT
cana-4511	209	51	133x	133x	NUM
cana-4511	209	52	vol	vol	NOUN
cana-4511	209	53	32	32	NUM
cana-4511	209	54	no	no	NOUN
cana-4511	209	55	.	.	PUNCT
cana-4511	210	1	9s	9s	NUM
cana-4511	210	2	(	(	PUNCT
cana-4511	210	3	2025	2025	NUM
cana-4511	210	4	)	)	PUNCT
cana-4511	210	5	2270	2270	NUM
cana-4511	210	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4511	211	1	[	[	X
cana-4511	211	2	11	11	NUM
cana-4511	211	3	]	]	X
cana-4511	211	4	samuel	samuel	PROPN
cana-4511	211	5	g.	g.	PROPN
cana-4511	211	6	coroma	coroma	PROPN
cana-4511	211	7	,	,	PUNCT
cana-4511	211	8	mohommad	mohommad	PROPN
cana-4511	211	9	fm	fm	PROPN
cana-4511	211	10	hussein	hussein	PROPN
cana-4511	211	11	and	and	CCONJ
cana-4511	211	12	john	john	PROPN
cana-4511	211	13	s.	s.	PROPN
cana-4511	211	14	owen	owen	PROPN
cana-4511	211	15	,	,	PUNCT
cana-4511	211	16	influence	influence	NOUN
cana-4511	211	17	of	of	ADP
cana-4511	211	18	preload	preload	NOUN
cana-4511	211	19	and	and	CCONJ
cana-4511	211	20	nonlinearity	nonlinearity	NOUN
cana-4511	211	21	of	of	ADP
cana-4511	211	22	rail	rail	NOUN
cana-4511	211	23	pads	pad	NOUN
cana-4511	211	24	on	on	ADP
cana-4511	211	25	vibration	vibration	NOUN
cana-4511	211	26	of	of	ADP
cana-4511	211	27	railway	railway	NOUN
cana-4511	211	28	tracks	track	NOUN
cana-4511	211	29	under	under	ADP
cana-4511	211	30	stationary	stationary	ADJ
cana-4511	211	31	and	and	CCONJ
cana-4511	211	32	moving	move	VERB
cana-4511	211	33	harmonic	harmonic	ADJ
cana-4511	211	34	loads	load	NOUN
cana-4511	211	35	,	,	PUNCT
cana-4511	211	36	journal	journal	NOUN
cana-4511	211	37	of	of	ADP
cana-4511	211	38	low	low	ADJ
cana-4511	211	39	frequency	frequency	NOUN
cana-4511	211	40	noise	noise	NOUN
cana-4511	211	41	,	,	PUNCT
cana-4511	211	42	vibration	vibration	NOUN
cana-4511	211	43	and	and	CCONJ
cana-4511	211	44	active	active	ADJ
cana-4511	211	45	control	control	NOUN
cana-4511	211	46	,	,	PUNCT
cana-4511	211	47	vol.34	vol.34	PROPN
cana-4511	211	48	no.3	no.3	VERB
cana-4511	211	49	2015	2015	NUM
cana-4511	211	50	.	.	PUNCT
cana-4511	212	1	[	[	X
cana-4511	212	2	12	12	NUM
cana-4511	212	3	]	]	X
cana-4511	212	4	shane	shane	PROPN
cana-4511	212	5	crawford	crawford	PROPN
cana-4511	212	6	,	,	PUNCT
cana-4511	212	7	martin	martin	PROPN
cana-4511	212	8	murray	murray	PROPN
cana-4511	212	9	,	,	PUNCT
cana-4511	212	10	john	john	PROPN
cana-4511	212	11	powell	powell	PROPN
cana-4511	212	12	,	,	PUNCT
cana-4511	212	13	development	development	NOUN
cana-4511	212	14	of	of	ADP
cana-4511	212	15	mechanistic	mechanistic	ADJ
cana-4511	212	16	model	model	NOUN
cana-4511	212	17	for	for	ADP
cana-4511	212	18	the	the	DET
cana-4511	212	19	determination	determination	NOUN
cana-4511	212	20	of	of	ADP
cana-4511	212	21	track	track	NOUN
cana-4511	212	22	modulus	modulus	NOUN
cana-4511	212	23	,	,	PUNCT
cana-4511	212	24	7th	7th	ADJ
cana-4511	212	25	international	international	ADJ
cana-4511	212	26	heavy	heavy	ADJ
cana-4511	212	27	haul	haul	NOUN
cana-4511	212	28	,	,	PUNCT
cana-4511	212	29	brisbane	brisbane	NOUN
cana-4511	212	30	,	,	PUNCT
cana-4511	212	31	australia	australia	PROPN
cana-4511	212	32	,	,	PUNCT
cana-4511	212	33	2001	2001	NUM
cana-4511	212	34	.	.	PUNCT
cana-4511	213	1	[	[	X
cana-4511	213	2	13	13	NUM
cana-4511	213	3	]	]	PUNCT
cana-4511	213	4	k.	k.	PROPN
cana-4511	213	5	ganesh	ganesh	PROPN
cana-4511	213	6	babu	babu	PROPN
cana-4511	213	7	,	,	PUNCT
cana-4511	213	8	c.	c.	PROPN
cana-4511	213	9	sujatha	sujatha	PROPN
cana-4511	213	10	,	,	PUNCT
cana-4511	213	11	track	track	VERB
cana-4511	213	12	modulus	modulus	ADJ
cana-4511	213	13	analysis	analysis	NOUN
cana-4511	213	14	of	of	ADP
cana-4511	213	15	railway	railway	NOUN
cana-4511	213	16	track	track	NOUN
cana-4511	213	17	system	system	NOUN
cana-4511	213	18	using	use	VERB
cana-4511	213	19	fem	fem	NOUN
cana-4511	213	20	,	,	PUNCT
cana-4511	213	21	journal	journal	NOUN
cana-4511	213	22	of	of	ADP
cana-4511	213	23	vibration	vibration	NOUN
cana-4511	213	24	and	and	CCONJ
cana-4511	213	25	control	control	NOUN
cana-4511	213	26	,	,	PUNCT
cana-4511	213	27	doi	doi	NOUN
cana-4511	213	28	:	:	PUNCT
cana-4511	213	29	10.1177/107754639341600	10.1177/107754639341600	NUM
cana-4511	213	30	,	,	PUNCT
cana-4511	213	31	2009	2009	NUM
cana-4511	213	32	.	.	PUNCT
cana-4511	214	1	[	[	X
cana-4511	214	2	14	14	NUM
cana-4511	214	3	]	]	X
cana-4511	214	4	leposava	leposava	PROPN
cana-4511	214	5	puzavac	puzavac	PROPN
cana-4511	214	6	,	,	PUNCT
cana-4511	214	7	zdenka	zdenka	PROPN
cana-4511	214	8	popovic	popovic	PROPN
cana-4511	214	9	,	,	PUNCT
cana-4511	214	10	lukarazevic	lukarazevic	ADJ
cana-4511	214	11	,	,	PUNCT
cana-4511	214	12	influence	influence	NOUN
cana-4511	214	13	of	of	ADP
cana-4511	214	14	track	track	NOUN
cana-4511	214	15	stiffness	stiffness	NOUN
cana-4511	214	16	on	on	ADP
cana-4511	214	17	track	track	NOUN
cana-4511	214	18	behaviour	behaviour	NOUN
cana-4511	214	19	under	under	ADP
cana-4511	214	20	vertical	vertical	ADJ
cana-4511	214	21	load	load	NOUN
cana-4511	214	22	,	,	PUNCT
cana-4511	214	23	university	university	PROPN
cana-4511	214	24	of	of	ADP
cana-4511	214	25	belgrade	belgrade	PROPN
cana-4511	214	26	,	,	PUNCT
cana-4511	214	27	serbia	serbia	PROPN
cana-4511	214	28	,	,	PUNCT
cana-4511	214	29	promet	promet	ADJ
cana-4511	214	30	-	-	PUNCT
cana-4511	214	31	traffic	traffic	NOUN
cana-4511	214	32	and	and	CCONJ
cana-4511	214	33	transportation	transportation	NOUN
cana-4511	214	34	,	,	PUNCT
cana-4511	214	35	vol.24	vol.24	NOUN
cana-4511	214	36	,	,	PUNCT
cana-4511	214	37	2012	2012	NUM
cana-4511	214	38	,	,	PUNCT
cana-4511	214	39	no.5	no.5	PROPN
cana-4511	214	40	,	,	PUNCT
cana-4511	214	41	405	405	NUM
cana-4511	214	42	-	-	SYM
cana-4511	214	43	412	412	NUM
cana-4511	214	44	,	,	PUNCT
cana-4511	214	45	2012	2012	NUM
cana-4511	214	46	.	.	PUNCT
cana-4511	215	1	[	[	X
cana-4511	215	2	15	15	NUM
cana-4511	215	3	]	]	X
cana-4511	215	4	dr	dr	PROPN
cana-4511	215	5	.	.	PROPN
cana-4511	215	6	s.	s.	PROPN
cana-4511	215	7	s.	s.	PROPN
cana-4511	215	8	sarawade	sarawade	PROPN
cana-4511	215	9	,	,	PUNCT
cana-4511	215	10	prof	prof	NOUN
cana-4511	215	11	.	.	PUNCT
cana-4511	216	1	s.	s.	PROPN
cana-4511	216	2	k.	k.	PROPN
cana-4511	216	3	agarwal	agarwal	PROPN
cana-4511	216	4	,	,	PUNCT
cana-4511	216	5	prathamesh	prathamesh	NOUN
cana-4511	216	6	gawarshettiwar	gawarshettiwar	NOUN
cana-4511	216	7	,	,	PUNCT
cana-4511	216	8	sumit	sumit	PROPN
cana-4511	216	9	patil	patil	PROPN
cana-4511	216	10	,	,	PUNCT
cana-4511	216	11	anup	anup	PROPN
cana-4511	216	12	yeole	yeole	PROPN
cana-4511	216	13	,	,	PUNCT
cana-4511	216	14	shubham	shubham	PROPN
cana-4511	216	15	jain	jain	PROPN
cana-4511	216	16	,	,	PUNCT
cana-4511	216	17	determination	determination	NOUN
cana-4511	216	18	of	of	ADP
cana-4511	216	19	non	non	ADJ
cana-4511	216	20	-	-	NOUN
cana-4511	216	21	linearity	linearity	NOUN
cana-4511	216	22	in	in	ADP
cana-4511	216	23	rail	rail	NOUN
cana-4511	216	24	-	-	PUNCT
cana-4511	216	25	pad	pad	NOUN
cana-4511	216	26	,	,	PUNCT
cana-4511	216	27	rdme	rdme	NOUN
cana-4511	216	28	conference	conference	NOUN
cana-4511	216	29	2019	2019	NUM
cana-4511	216	30	,	,	PUNCT
cana-4511	216	31	mescoe	mescoe	NOUN
cana-4511	216	32	,	,	PUNCT
cana-4511	216	33	pune	pune	NOUN
cana-4511	216	34	,	,	PUNCT
cana-4511	216	35	iosr	iosr	ADJ
cana-4511	216	36	journal	journal	NOUN
cana-4511	216	37	of	of	ADP
cana-4511	216	38	engineering	engineering	NOUN
cana-4511	216	39	,	,	PUNCT
cana-4511	216	40	e	e	ADJ
cana-4511	216	41	-	-	ADJ
cana-4511	216	42	issn:2250	issn:2250	ADP
cana-4511	216	43	-	-	PUNCT
cana-4511	216	44	3021	3021	NUM
cana-4511	216	45	.	.	PUNCT
cana-4511	217	1	[	[	X
cana-4511	217	2	16	16	NUM
cana-4511	217	3	]	]	X
cana-4511	217	4	j.	j.	PROPN
cana-4511	217	5	clastornik	clastornik	PROPN
cana-4511	217	6	,	,	PUNCT
cana-4511	217	7	m.	m.	NOUN
cana-4511	217	8	eisenberger	eisenberger	NOUN
cana-4511	217	9	,	,	PUNCT
cana-4511	217	10	d.z	d.z	PROPN
cana-4511	217	11	.	.	PROPN
cana-4511	217	12	yankelevsky	yankelevsky	PROPN
cana-4511	217	13	and	and	CCONJ
cana-4511	217	14	m.a	m.a	PROPN
cana-4511	217	15	.	.	PROPN
cana-4511	217	16	adin	adin	PROPN
cana-4511	217	17	,	,	PUNCT
cana-4511	217	18	beams	beam	NOUN
cana-4511	217	19	on	on	ADP
cana-4511	217	20	variable	variable	ADJ
cana-4511	217	21	winkler	winkler	NOUN
cana-4511	217	22	elastic	elastic	ADJ
cana-4511	217	23	foundation	foundation	PROPN
cana-4511	217	24	,	,	PUNCT
cana-4511	217	25	journal	journal	NOUN
cana-4511	217	26	of	of	ADP
cana-4511	217	27	applied	apply	VERB
cana-4511	217	28	mechanics	mechanic	NOUN
cana-4511	217	29	,	,	PUNCT
cana-4511	217	30	asme	asme	PROPN
cana-4511	217	31	53	53	NUM
cana-4511	217	32	(	(	PUNCT
cana-4511	217	33	4	4	NUM
cana-4511	217	34	)	)	PUNCT
cana-4511	217	35	(	(	PUNCT
cana-4511	217	36	1986	1986	NUM
cana-4511	217	37	)	)	PUNCT
cana-4511	217	38	,	,	PUNCT
cana-4511	217	39	925–928	925–928	NUM
cana-4511	217	40	.	.	PUNCT
cana-4511	218	1	[	[	X
cana-4511	218	2	17	17	NUM
cana-4511	218	3	]	]	X
cana-4511	218	4	s.	s.	PROPN
cana-4511	218	5	timoshenko	timoshenko	PROPN
cana-4511	218	6	,	,	PUNCT
cana-4511	218	7	“	"	PUNCT
cana-4511	218	8	method	method	NOUN
cana-4511	218	9	of	of	ADP
cana-4511	218	10	analysis	analysis	NOUN
cana-4511	218	11	of	of	ADP
cana-4511	218	12	statistical	statistical	ADJ
cana-4511	218	13	and	and	CCONJ
cana-4511	218	14	dynamical	dynamical	ADJ
cana-4511	218	15	stresses	stress	NOUN
cana-4511	218	16	in	in	ADP
cana-4511	218	17	rail	rail	NOUN
cana-4511	218	18	”	"	PUNCT
cana-4511	218	19	,	,	PUNCT
cana-4511	218	20	proceedings	proceeding	NOUN
cana-4511	218	21	of	of	ADP
cana-4511	218	22	the	the	DET
cana-4511	218	23	2nd	2nd	ADJ
cana-4511	218	24	international	international	ADJ
cana-4511	218	25	congress	congress	PROPN
cana-4511	218	26	for	for	ADP
cana-4511	218	27	applied	applied	ADJ
cana-4511	218	28	mechanics	mechanic	NOUN
cana-4511	218	29	,	,	PUNCT
cana-4511	218	30	zurich	zurich	PROPN
cana-4511	218	31	,	,	PUNCT
cana-4511	218	32	14th	14th	ADJ
cana-4511	218	33	–	–	PUNCT
cana-4511	218	34	16th	16th	ADJ
cana-4511	218	35	september	september	PROPN
cana-4511	218	36	1926	1926	NUM
cana-4511	218	37	[	[	X
cana-4511	218	38	18	18	NUM
cana-4511	218	39	]	]	PUNCT
cana-4511	218	40	i.e.	i.e.	X
cana-4511	218	41	avramidis	avramidis	PROPN
cana-4511	218	42	and	and	CCONJ
cana-4511	218	43	k.	k.	PROPN
cana-4511	218	44	morfidis	morfidis	PROPN
cana-4511	218	45	,	,	PUNCT
cana-4511	218	46	bending	bend	VERB
cana-4511	218	47	of	of	ADP
cana-4511	218	48	beams	beam	NOUN
cana-4511	218	49	on	on	ADP
cana-4511	218	50	three	three	NUM
cana-4511	218	51	-	-	PUNCT
cana-4511	218	52	parameter	parameter	NOUN
cana-4511	218	53	elastic	elastic	ADJ
cana-4511	218	54	foundation	foundation	NOUN
cana-4511	218	55	,	,	PUNCT
cana-4511	218	56	international	international	ADJ
cana-4511	218	57	journal	journal	NOUN
cana-4511	218	58	of	of	ADP
cana-4511	218	59	solids	solid	NOUN
cana-4511	218	60	and	and	CCONJ
cana-4511	218	61	structures	structure	NOUN
cana-4511	218	62	,	,	PUNCT
cana-4511	218	63	43	43	NUM
cana-4511	218	64	(	(	PUNCT
cana-4511	218	65	2006	2006	NUM
cana-4511	218	66	)	)	PUNCT
cana-4511	218	67	,	,	PUNCT
cana-4511	218	68	357–375	357–375	NUM
cana-4511	218	69	[	[	X
cana-4511	218	70	19	19	NUM
cana-4511	218	71	]	]	X
cana-4511	218	72	a.d	a.d	PROPN
cana-4511	218	73	.	.	PROPN
cana-4511	218	74	kerr	kerr	PROPN
cana-4511	218	75	,	,	PUNCT
cana-4511	218	76	elastic	elastic	ADJ
cana-4511	218	77	and	and	CCONJ
cana-4511	218	78	viscoelastic	viscoelastic	NOUN
cana-4511	218	79	foundation	foundation	NOUN
cana-4511	218	80	models	model	NOUN
cana-4511	218	81	,	,	PUNCT
cana-4511	218	82	journal	journal	NOUN
cana-4511	218	83	of	of	ADP
cana-4511	218	84	applied	apply	VERB
cana-4511	218	85	mechanics	mechanic	NOUN
cana-4511	218	86	,	,	PUNCT
cana-4511	218	87	31	31	NUM
cana-4511	218	88	(	(	PUNCT
cana-4511	218	89	3	3	NUM
cana-4511	218	90	)	)	PUNCT
cana-4511	218	91	(	(	PUNCT
cana-4511	218	92	1964	1964	NUM
cana-4511	218	93	)	)	PUNCT
cana-4511	218	94	,	,	PUNCT
cana-4511	218	95	491–498	491–498	NUM
cana-4511	218	96	.	.	PUNCT
cana-4511	219	1	[	[	X
cana-4511	219	2	20	20	NUM
cana-4511	219	3	]	]	X
cana-4511	219	4	f.	f.	PROPN
cana-4511	219	5	zhaohua	zhaohua	PROPN
cana-4511	219	6	and	and	CCONJ
cana-4511	219	7	r.d	r.d	PROPN
cana-4511	219	8	.	.	PROPN
cana-4511	219	9	cook	cook	PROPN
cana-4511	219	10	,	,	PUNCT
cana-4511	219	11	beam	beam	NOUN
cana-4511	219	12	element	element	NOUN
cana-4511	219	13	on	on	ADP
cana-4511	219	14	two	two	NUM
cana-4511	219	15	-	-	PUNCT
cana-4511	219	16	parameter	parameter	NOUN
cana-4511	219	17	elastic	elastic	ADJ
cana-4511	219	18	foundations	foundation	NOUN
cana-4511	219	19	,	,	PUNCT
cana-4511	219	20	journal	journal	NOUN
cana-4511	219	21	of	of	ADP
cana-4511	219	22	engineering	engineering	NOUN
cana-4511	219	23	mechanics	mechanic	NOUN
cana-4511	219	24	division	division	NOUN
cana-4511	219	25	,	,	PUNCT
cana-4511	219	26	asce	asce	NOUN
cana-4511	219	27	109	109	NUM
cana-4511	219	28	(	(	PUNCT
cana-4511	219	29	6	6	NUM
cana-4511	219	30	)	)	PUNCT
cana-4511	219	31	(	(	PUNCT
cana-4511	219	32	1983	1983	NUM
cana-4511	219	33	)	)	PUNCT
cana-4511	219	34	,	,	PUNCT
cana-4511	219	35	1390–1402	1390–1402	NUM
cana-4511	219	36	.	.	PUNCT
cana-4511	220	1	[	[	X
cana-4511	220	2	21	21	NUM
cana-4511	220	3	]	]	PUNCT
cana-4511	220	4	m.	m.	NOUN
cana-4511	220	5	hetenyi	hetenyi	PROPN
cana-4511	220	6	,	,	PUNCT
cana-4511	220	7	a	a	DET
cana-4511	220	8	general	general	ADJ
cana-4511	220	9	solution	solution	NOUN
cana-4511	220	10	for	for	ADP
cana-4511	220	11	the	the	DET
cana-4511	220	12	bending	bending	NOUN
cana-4511	220	13	of	of	ADP
cana-4511	220	14	beams	beam	NOUN
cana-4511	220	15	on	on	ADP
cana-4511	220	16	an	an	DET
cana-4511	220	17	elastic	elastic	ADJ
cana-4511	220	18	foundation	foundation	NOUN
cana-4511	220	19	of	of	ADP
cana-4511	220	20	arbitrary	arbitrary	ADJ
cana-4511	220	21	continuity	continuity	NOUN
cana-4511	220	22	,	,	PUNCT
cana-4511	220	23	journal	journal	NOUN
cana-4511	220	24	of	of	ADP
cana-4511	220	25	applied	apply	VERB
cana-4511	220	26	physics	physics	NOUN
cana-4511	220	27	21	21	NUM
cana-4511	220	28	(	(	PUNCT
cana-4511	220	29	1950	1950	NUM
cana-4511	220	30	)	)	PUNCT
cana-4511	220	31	,	,	PUNCT
cana-4511	220	32	55–58	55–58	NUM
cana-4511	220	33	.	.	PUNCT
cana-4511	221	1	[	[	X
cana-4511	221	2	22	22	NUM
cana-4511	221	3	]	]	PUNCT
cana-4511	221	4	hetényi	hetényi	NOUN
cana-4511	221	5	m.	m.	NOUN
cana-4511	221	6	beams	beam	NOUN
cana-4511	221	7	on	on	ADP
cana-4511	221	8	elastic	elastic	ADJ
cana-4511	221	9	foundation	foundation	NOUN
cana-4511	221	10	theory	theory	NOUN
cana-4511	221	11	with	with	ADP
cana-4511	221	12	applications	application	NOUN
cana-4511	221	13	in	in	ADP
cana-4511	221	14	the	the	DET
cana-4511	221	15	fields	field	NOUN
cana-4511	221	16	of	of	ADP
cana-4511	221	17	civil	civil	ADJ
cana-4511	221	18	and	and	CCONJ
cana-4511	221	19	mechanical	mechanical	ADJ
cana-4511	221	20	engineering	engineering	NOUN
cana-4511	221	21	.	.	PUNCT
cana-4511	222	1	ann	ann	PROPN
cana-4511	222	2	arbor	arbor	PROPN
cana-4511	222	3	:	:	PUNCT
cana-4511	222	4	1202	1202	NUM
cana-4511	222	5	university	university	PROPN
cana-4511	222	6	of	of	ADP
cana-4511	222	7	michigan	michigan	PROPN
cana-4511	222	8	;	;	PUNCT
cana-4511	222	9	1946	1946	NUM
cana-4511	222	10	[	[	X
cana-4511	222	11	23	23	NUM
cana-4511	222	12	]	]	X
cana-4511	222	13	pasternak	pasternak	PROPN
cana-4511	222	14	pl	pl	PROPN
cana-4511	222	15	.	.	PROPN
cana-4511	223	1	on	on	ADP
cana-4511	223	2	a	a	DET
cana-4511	223	3	new	new	ADJ
cana-4511	223	4	method	method	NOUN
cana-4511	223	5	of	of	ADP
cana-4511	223	6	analysis	analysis	NOUN
cana-4511	223	7	of	of	ADP
cana-4511	223	8	an	an	DET
cana-4511	223	9	elastic	elastic	ADJ
cana-4511	223	10	foundation	foundation	NOUN
cana-4511	223	11	by	by	ADP
cana-4511	223	12	means	mean	NOUN
cana-4511	223	13	of	of	ADP
cana-4511	223	14	two	two	NUM
cana-4511	223	15	foundation	foundation	NOUN
cana-4511	223	16	constants	constant	NOUN
cana-4511	223	17	.	.	PUNCT
cana-4511	224	1	gosuderevstvennae	gosuderevstvennae	PROPN
cana-4511	224	2	izdatlesva	izdatlesva	ADJ
cana-4511	224	3	literaturi	literaturi	PROPN
cana-4511	224	4	po	po	PROPN
cana-4511	224	5	stroitelstvu	stroitelstvu	VERB
cana-4511	224	6	1289	1289	NUM
cana-4511	225	1	i	i	PRON
cana-4511	225	2	arkihitekture	arkihitekture	VERB
cana-4511	225	3	,	,	PUNCT
cana-4511	225	4	moscow	moscow	PROPN
cana-4511	225	5	,	,	PUNCT
cana-4511	225	6	ussr	ussr	ADJ
cana-4511	225	7	1954	1954	NUM
cana-4511	225	8	.	.	PUNCT
cana-4511	226	1	[	[	X
cana-4511	226	2	24	24	NUM
cana-4511	226	3	]	]	X
cana-4511	226	4	sandeep	sandeep	PROPN
cana-4511	226	5	valji	valji	PROPN
cana-4511	226	6	shinde	shinde	PROPN
cana-4511	226	7	,	,	PUNCT
cana-4511	226	8	dr	dr	PROPN
cana-4511	226	9	.	.	PROPN
cana-4511	226	10	s.	s.	PROPN
cana-4511	226	11	s.	s.	PROPN
cana-4511	226	12	sarawade	sarawade	PROPN
cana-4511	226	13	,	,	PUNCT
cana-4511	226	14	prof	prof	NOUN
cana-4511	226	15	.	.	PUNCT
cana-4511	226	16	s.	s.	PROPN
cana-4511	226	17	k.	k.	PROPN
cana-4511	226	18	agarwal	agarwal	PROPN
cana-4511	226	19	,	,	PUNCT
cana-4511	226	20	“	"	PUNCT
cana-4511	226	21	identifying	identify	VERB
cana-4511	226	22	the	the	DET
cana-4511	226	23	non	non	ADJ
cana-4511	226	24	-	-	ADJ
cana-4511	226	25	linear	linear	ADJ
cana-4511	226	26	stiffness	stiffness	NOUN
cana-4511	226	27	of	of	ADP
cana-4511	226	28	elastic	elastic	ADJ
cana-4511	226	29	rail	rail	NOUN
cana-4511	226	30	clip	clip	NOUN
cana-4511	226	31	using	use	VERB
cana-4511	226	32	different	different	ADJ
cana-4511	226	33	loading	loading	NOUN
cana-4511	226	34	conditions	condition	NOUN
cana-4511	226	35	”	"	PUNCT
cana-4511	226	36	,	,	PUNCT
cana-4511	226	37	mukt	mukt	PROPN
cana-4511	226	38	shabd	shabd	PROPN
cana-4511	226	39	journal	journal	PROPN
cana-4511	226	40	,	,	PUNCT
cana-4511	226	41	volume	volume	NOUN
cana-4511	226	42	ix	ix	ADV
cana-4511	226	43	,	,	PUNCT
cana-4511	226	44	issue	issue	NOUN
cana-4511	226	45	vi	vi	PROPN
cana-4511	226	46	,	,	PUNCT
cana-4511	226	47	june/2020	june/2020	VERB
cana-4511	226	48	[	[	X
cana-4511	226	49	25	25	NUM
cana-4511	226	50	]	]	X
cana-4511	226	51	sandeep	sandeep	PROPN
cana-4511	226	52	valji	valji	PROPN
cana-4511	226	53	shinde	shinde	PROPN
cana-4511	226	54	,	,	PUNCT
cana-4511	226	55	dr	dr	PROPN
cana-4511	226	56	.	.	PROPN
cana-4511	226	57	s.	s.	PROPN
cana-4511	226	58	s.	s.	PROPN
cana-4511	226	59	sarawade	sarawade	PROPN
cana-4511	226	60	,	,	PUNCT
cana-4511	226	61	prof	prof	NOUN
cana-4511	226	62	.	.	PUNCT
cana-4511	227	1	s.	s.	PROPN
cana-4511	227	2	k.	k.	PROPN
cana-4511	227	3	agarwal	agarwal	PROPN
cana-4511	227	4	,	,	PUNCT
cana-4511	227	5	“	"	PUNCT
cana-4511	227	6	influence	influence	NOUN
cana-4511	227	7	of	of	ADP
cana-4511	227	8	non	non	ADJ
cana-4511	227	9	-	-	ADJ
cana-4511	227	10	linear	linear	ADJ
cana-4511	227	11	behavior	behavior	NOUN
cana-4511	227	12	of	of	ADP
cana-4511	227	13	track	track	NOUN
cana-4511	227	14	fastening	fastening	NOUN
cana-4511	227	15	system	system	NOUN
cana-4511	227	16	on	on	ADP
cana-4511	227	17	track	track	NOUN
cana-4511	227	18	modulus	modulus	NOUN
cana-4511	227	19	”	"	PUNCT
cana-4511	227	20	,	,	PUNCT
cana-4511	227	21	ipwe	ipwe	VERB
cana-4511	227	22	seminar	seminar	NOUN
cana-4511	227	23	2020	2020	NUM
cana-4511	227	24	conference	conference	NOUN
cana-4511	227	25	[	[	X
cana-4511	227	26	26	26	NUM
cana-4511	227	27	]	]	PUNCT
cana-4511	227	28	a.	a.	NOUN
cana-4511	227	29	a.	a.	PROPN
cana-4511	227	30	alazzawi	alazzawi	PROPN
cana-4511	227	31	,	,	PUNCT
cana-4511	227	32	a.	a.	PROPN
cana-4511	227	33	h.	h.	PROPN
cana-4511	227	34	mahdy	mahdy	PROPN
cana-4511	227	35	and	and	CCONJ
cana-4511	227	36	o.	o.	PROPN
cana-4511	227	37	sh	sh	PROPN
cana-4511	227	38	.	.	PROPN
cana-4511	227	39	farhan	farhan	PROPN
cana-4511	227	40	,	,	PUNCT
cana-4511	227	41	“	"	PUNCT
cana-4511	227	42	finite	finite	ADJ
cana-4511	227	43	element	element	NOUN
cana-4511	227	44	analysis	analysis	NOUN
cana-4511	227	45	of	of	ADP
cana-4511	227	46	deep	deep	ADJ
cana-4511	227	47	beams	beam	NOUN
cana-4511	227	48	on	on	ADP
cana-4511	227	49	nonlinear	nonlinear	ADJ
cana-4511	227	50	elastic	elastic	ADJ
cana-4511	227	51	foundations	foundation	NOUN
cana-4511	227	52	”	"	PUNCT
cana-4511	227	53	,	,	PUNCT
cana-4511	227	54	journal	journal	NOUN
cana-4511	227	55	of	of	ADP
cana-4511	227	56	the	the	DET
cana-4511	227	57	serbian	serbian	ADJ
cana-4511	227	58	society	society	NOUN
cana-4511	227	59	for	for	ADP
cana-4511	227	60	computational	computational	ADJ
cana-4511	227	61	mechanics	mechanic	NOUN
cana-4511	227	62	/	/	SYM
cana-4511	227	63	vol	vol	NOUN
cana-4511	227	64	.	.	PROPN
cana-4511	228	1	4	4	NUM
cana-4511	228	2	/	/	SYM
cana-4511	228	3	no	no	INTJ
cana-4511	228	4	.	.	NOUN
cana-4511	228	5	2	2	NUM
cana-4511	228	6	,	,	PUNCT
cana-4511	228	7	2010	2010	NUM
cana-4511	228	8	/	/	SYM
cana-4511	229	1	pp	pp	ADJ
cana-4511	229	2	.	.	PUNCT
cana-4511	230	1	13	13	NUM
cana-4511	230	2	-	-	SYM
cana-4511	230	3	42	42	NUM