Dynamic response of a beam subjected to moving load and moving mass supported by Pasternak foundation

Article type: Research Article

Authors: Uzzal, Rajib Ul Alam | Bhat, Rama B. | Ahmed, Waiz

Affiliations: Concordia Center for Advanced Vehicle Engineering (CONCAVE), Mechanical and Industrial Engineering Department, Concordia University, Montreal, Canada

Note: [] Corresponding author. E-mail: ru_alam@encs.concordia.ca

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.

Keywords: Beam vibration, moving load, moving mass, Pasternak foundation

DOI: 10.3233/SAV-2011-0624

Journal: Shock and Vibration, vol. 19, no. 2, pp. 201-216, 2012