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.
Highlights
The dynamic behavior of beams on elastic foundations subjected to moving loads or masses has been investigated by many researchers in engineering, especially in Railway Engineering
This paper investigates the dynamic response of an Euler-Bernoulli beam supported on two-parameter Pasternak foundation and subjected to a moving load as well as moving mass
Numerical calculations have been performed to analyze the displacement and bending moment responses of the beam on the Pasternak foundation subjected to both moving load and moving mass with different velocity ratios
Summary
The dynamic behavior of beams on elastic foundations subjected to moving loads or masses has been investigated by many researchers in engineering, especially in Railway Engineering. The modern trend towards higher speeds in the railways has further intensified the research in order to accurately predict the vibration behavior of the railway track These studies mostly considered the Winkler elastic foundation model that consists of infinite closely-spaced linear springs subjected to a moving load [1,2,3,4,5]. A very few studies considered one parameter foundation model for prediction of beam responses subjected to a moving mass [22,23,24] These one parameter models do not accurately represent the continuous characteristics of practical foundations since it assumes no interaction between the lateral springs. The effects of shear modulus and foundation stiffness on deflection and bending moment responses have been investigated
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