Analytical Solution for the Sound Radiation Field of a Viscoelastically Supported Beam Traversed by a Moving Load

Sound radiation from a beam resting on a viscoelastic foundation is analytically studied when it is subjected to a moving load. The topic could cover a range of applications such as submerged floating tunnels, buried pipelines, and railway tracks. Galerkin’s method is employed to obtain the transver...

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Main Authors: Rezgar Shakeri, Davood Younesian
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2014/530131
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author Rezgar Shakeri
Davood Younesian
author_facet Rezgar Shakeri
Davood Younesian
author_sort Rezgar Shakeri
collection DOAJ
description Sound radiation from a beam resting on a viscoelastic foundation is analytically studied when it is subjected to a moving load. The topic could cover a range of applications such as submerged floating tunnels, buried pipelines, and railway tracks. Galerkin’s method is employed to obtain the transverse vibration of the beam. Based on the Rayleigh integral approach, acoustic pressure distribution around the beam is obtained in the time domain. In the second part of this paper, corresponding displacement and acoustic pressure are obtained by the use of the Rayleigh-Ritz approach in conjunction with the Laplace transform method and by the use of the Fourier transform, respectively. Durbin’s numerical Laplace transform inversion scheme is eventually employed to obtain dynamic responses. A parametric study is then carried out and influences of the design parameters as well as the loading conditions on the acoustic pressure field are investigated.
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series Shock and Vibration
spelling doaj-art-b716f85000494aa6b4b3f907281e99ae2025-02-03T07:23:52ZengWileyShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/530131530131Analytical Solution for the Sound Radiation Field of a Viscoelastically Supported Beam Traversed by a Moving LoadRezgar Shakeri0Davood Younesian1Center of Excellence in Railway Transportation, School of Railway Engineering, Iran University of Science and Technology, Tehran 16846-13114, IranCenter of Excellence in Railway Transportation, School of Railway Engineering, Iran University of Science and Technology, Tehran 16846-13114, IranSound radiation from a beam resting on a viscoelastic foundation is analytically studied when it is subjected to a moving load. The topic could cover a range of applications such as submerged floating tunnels, buried pipelines, and railway tracks. Galerkin’s method is employed to obtain the transverse vibration of the beam. Based on the Rayleigh integral approach, acoustic pressure distribution around the beam is obtained in the time domain. In the second part of this paper, corresponding displacement and acoustic pressure are obtained by the use of the Rayleigh-Ritz approach in conjunction with the Laplace transform method and by the use of the Fourier transform, respectively. Durbin’s numerical Laplace transform inversion scheme is eventually employed to obtain dynamic responses. A parametric study is then carried out and influences of the design parameters as well as the loading conditions on the acoustic pressure field are investigated.http://dx.doi.org/10.1155/2014/530131
spellingShingle Rezgar Shakeri
Davood Younesian
Analytical Solution for the Sound Radiation Field of a Viscoelastically Supported Beam Traversed by a Moving Load
Shock and Vibration
title Analytical Solution for the Sound Radiation Field of a Viscoelastically Supported Beam Traversed by a Moving Load
title_full Analytical Solution for the Sound Radiation Field of a Viscoelastically Supported Beam Traversed by a Moving Load
title_fullStr Analytical Solution for the Sound Radiation Field of a Viscoelastically Supported Beam Traversed by a Moving Load
title_full_unstemmed Analytical Solution for the Sound Radiation Field of a Viscoelastically Supported Beam Traversed by a Moving Load
title_short Analytical Solution for the Sound Radiation Field of a Viscoelastically Supported Beam Traversed by a Moving Load
title_sort analytical solution for the sound radiation field of a viscoelastically supported beam traversed by a moving load
url http://dx.doi.org/10.1155/2014/530131
work_keys_str_mv AT rezgarshakeri analyticalsolutionforthesoundradiationfieldofaviscoelasticallysupportedbeamtraversedbyamovingload
AT davoodyounesian analyticalsolutionforthesoundradiationfieldofaviscoelasticallysupportedbeamtraversedbyamovingload