Nonlinear Vibration of Axially Loaded Railway Track Systems Using Analytical Approach

In this paper, the nonlinear vibration of railway track systems resting on elastic foundation has been studied. An axially loaded simply supported Euler–Bernoulli beam resting on a flexible foundation has been considered to provide a mathematical representation of the railway track system. Winkler s...

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Autores principales:	Mahmoud Bayat, Iman Pakar, Paul Ziehl
Formato:	article
Lenguaje:	EN
Publicado:	SAGE Publishing 2021
Materias:	Control engineering systems. Automatic machinery (General) TJ212-225 Acoustics. Sound QC221-246
Acceso en línea:	https://doaj.org/article/992fb4561fcc47439cc20f2fd0c52ec8
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id	oai:doaj.org-article:992fb4561fcc47439cc20f2fd0c52ec8
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spelling	oai:doaj.org-article:992fb4561fcc47439cc20f2fd0c52ec82021-12-02T02:06:31ZNonlinear Vibration of Axially Loaded Railway Track Systems Using Analytical Approach1461-34842048-404610.1177/14613484211004190https://doaj.org/article/992fb4561fcc47439cc20f2fd0c52ec82021-12-01T00:00:00Zhttps://doi.org/10.1177/14613484211004190https://doaj.org/toc/1461-3484https://doaj.org/toc/2048-4046In this paper, the nonlinear vibration of railway track systems resting on elastic foundation has been studied. An axially loaded simply supported Euler–Bernoulli beam resting on a flexible foundation has been considered to provide a mathematical representation of the railway track system. Winkler springs have been used to model the elastic foundation. Nonlinear partial differential equation of the system has been presented and solved. A new approximate analytical solution called Improved Amplitude–Frequency Formulation (IAFF) is proposed to obtain nonlinear frequency of the system and an accurate analytical solution for the whole domain. The first iteration of the IAFF leads to a highly accurate solution in comparison with the exact frequency of the problem. The exact frequency of the problem is also presented, and the results of IAFF are compared and verified. Sensitive analysis of the soil stiffness and loading condition is studied for different parameters. A full comparison of the IAFF and exact solution results are illustrated. It has been proved that the IAFF can be potentially extended to highly nonlinear conservative problems.Mahmoud BayatIman PakarPaul ZiehlSAGE PublishingarticleControl engineering systems. Automatic machinery (General)TJ212-225Acoustics. SoundQC221-246ENJournal of Low Frequency Noise, Vibration and Active Control, Vol 40 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Control engineering systems. Automatic machinery (General) TJ212-225 Acoustics. Sound QC221-246
spellingShingle	Control engineering systems. Automatic machinery (General) TJ212-225 Acoustics. Sound QC221-246 Mahmoud Bayat Iman Pakar Paul Ziehl Nonlinear Vibration of Axially Loaded Railway Track Systems Using Analytical Approach
description	In this paper, the nonlinear vibration of railway track systems resting on elastic foundation has been studied. An axially loaded simply supported Euler–Bernoulli beam resting on a flexible foundation has been considered to provide a mathematical representation of the railway track system. Winkler springs have been used to model the elastic foundation. Nonlinear partial differential equation of the system has been presented and solved. A new approximate analytical solution called Improved Amplitude–Frequency Formulation (IAFF) is proposed to obtain nonlinear frequency of the system and an accurate analytical solution for the whole domain. The first iteration of the IAFF leads to a highly accurate solution in comparison with the exact frequency of the problem. The exact frequency of the problem is also presented, and the results of IAFF are compared and verified. Sensitive analysis of the soil stiffness and loading condition is studied for different parameters. A full comparison of the IAFF and exact solution results are illustrated. It has been proved that the IAFF can be potentially extended to highly nonlinear conservative problems.
format	article
author	Mahmoud Bayat Iman Pakar Paul Ziehl
author_facet	Mahmoud Bayat Iman Pakar Paul Ziehl
author_sort	Mahmoud Bayat
title	Nonlinear Vibration of Axially Loaded Railway Track Systems Using Analytical Approach
title_short	Nonlinear Vibration of Axially Loaded Railway Track Systems Using Analytical Approach
title_full	Nonlinear Vibration of Axially Loaded Railway Track Systems Using Analytical Approach
title_fullStr	Nonlinear Vibration of Axially Loaded Railway Track Systems Using Analytical Approach
title_full_unstemmed	Nonlinear Vibration of Axially Loaded Railway Track Systems Using Analytical Approach
title_sort	nonlinear vibration of axially loaded railway track systems using analytical approach
publisher	SAGE Publishing
publishDate	2021
url	https://doaj.org/article/992fb4561fcc47439cc20f2fd0c52ec8
work_keys_str_mv	AT mahmoudbayat nonlinearvibrationofaxiallyloadedrailwaytracksystemsusinganalyticalapproach AT imanpakar nonlinearvibrationofaxiallyloadedrailwaytracksystemsusinganalyticalapproach AT paulziehl nonlinearvibrationofaxiallyloadedrailwaytracksystemsusinganalyticalapproach
_version_	1718402721998962688

Nonlinear Vibration of Axially Loaded Railway Track Systems Using Analytical Approach

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