Wavelet Approach for Vibration Analysis of Fast Moving Load on a Viscoelastic Medium

This paper analyses theoretically the response of a solid for fast moving trains using models related to real situations: a load moving in a tunnel and a load moving on a surface. The mathematical model is described by Navier's elastodynamic equation of motion for the soil and Euler-Bernoulli e...

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Main Authors: Piotr Koziol, Cristinel Mares
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.3233/SAV-2010-0540
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author Piotr Koziol
Cristinel Mares
author_facet Piotr Koziol
Cristinel Mares
author_sort Piotr Koziol
collection DOAJ
description This paper analyses theoretically the response of a solid for fast moving trains using models related to real situations: a load moving in a tunnel and a load moving on a surface. The mathematical model is described by Navier's elastodynamic equation of motion for the soil and Euler-Bernoulli equation for the beam with appropriate boundary conditions. Two modelling approaches are investigated: the model with half space under the beam and the model with finite thickness of supporting medium. The problem of singularities for displacements calculation is discussed in relation with boundary conditions and types of considered loads: harmonic and constant, point and distributed moving loads. The analysis in frequency-time and frequency-velocity domains is presented and discussed with regard to critical velocities.
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institution Kabale University
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series Shock and Vibration
spelling doaj-art-61066da67b6f4ea9ac97a34ca09712302025-08-20T03:34:56ZengWileyShock and Vibration1070-96221875-92032010-01-01174-546147210.3233/SAV-2010-0540Wavelet Approach for Vibration Analysis of Fast Moving Load on a Viscoelastic MediumPiotr Koziol0Cristinel Mares1Koszalin University of Technology, Department of Civil and Environmental Engineering, Sniadeckich 2, 75-453 Koszalin, PolandBrunel University, School of Engineering and Design, Uxbridge, Middlesex, UB8 3PH, UKThis paper analyses theoretically the response of a solid for fast moving trains using models related to real situations: a load moving in a tunnel and a load moving on a surface. The mathematical model is described by Navier's elastodynamic equation of motion for the soil and Euler-Bernoulli equation for the beam with appropriate boundary conditions. Two modelling approaches are investigated: the model with half space under the beam and the model with finite thickness of supporting medium. The problem of singularities for displacements calculation is discussed in relation with boundary conditions and types of considered loads: harmonic and constant, point and distributed moving loads. The analysis in frequency-time and frequency-velocity domains is presented and discussed with regard to critical velocities.http://dx.doi.org/10.3233/SAV-2010-0540
spellingShingle Piotr Koziol
Cristinel Mares
Wavelet Approach for Vibration Analysis of Fast Moving Load on a Viscoelastic Medium
Shock and Vibration
title Wavelet Approach for Vibration Analysis of Fast Moving Load on a Viscoelastic Medium
title_full Wavelet Approach for Vibration Analysis of Fast Moving Load on a Viscoelastic Medium
title_fullStr Wavelet Approach for Vibration Analysis of Fast Moving Load on a Viscoelastic Medium
title_full_unstemmed Wavelet Approach for Vibration Analysis of Fast Moving Load on a Viscoelastic Medium
title_short Wavelet Approach for Vibration Analysis of Fast Moving Load on a Viscoelastic Medium
title_sort wavelet approach for vibration analysis of fast moving load on a viscoelastic medium
url http://dx.doi.org/10.3233/SAV-2010-0540
work_keys_str_mv AT piotrkoziol waveletapproachforvibrationanalysisoffastmovingloadonaviscoelasticmedium
AT cristinelmares waveletapproachforvibrationanalysisoffastmovingloadonaviscoelasticmedium