Shock and Vibration

Shock and Vibration / 2012 / Article

Open Access

Volume 19 |Article ID 919512 | https://doi.org/10.3233/SAV-2011-0624

Rajib Ul Alam Uzzal, Rama B. Bhat, Waiz Ahmed, "Dynamic Response of a Beam Subjected to Moving Load and Moving Mass Supported by Pasternak Foundation", Shock and Vibration, vol. 19, Article ID 919512, 16 pages, 2012. https://doi.org/10.3233/SAV-2011-0624

Dynamic Response of a Beam Subjected to Moving Load and Moving Mass Supported by Pasternak Foundation

Received18 Mar 2010
Revised06 Sep 2010

Abstract

This paper presents the dynamic response of an Euler- Bernoulli beam supported on two-parameter Pasternak foundation subjected to moving load as well as moving mass. Modal analysis along with Fourier transform technique is employed to find the analytical solution of the governing partial differential equation. Shape functions are assumed to convert the partial differential equation into a series of ordinary differential equations. The dynamic responses of the beam in terms of normalized deflection and bending moment have been investigated for different velocity ratios under moving load and moving mass conditions. The effect of moving load velocity on dynamic deflection and bending moment responses of the beam have been investigated. The effect of foundation parameters such as, stiffness and shear modulus on dynamic deflection and bending moment responses have also been investigated for both moving load and moving mass at constant speeds. Numerical results obtained from the study are presented and discussed.

Copyright © 2012 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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