Analytical Study of Dynamic Response of Railway on Partial Elastic Foundation under Travelling Accelerating Concentrated Load

The dynamic response of the railway under accelerated moving load using Dynamic Green Function is presented in this paper. For this purpose, an exact and direct modeling technique is introduced for the railway modeling as the damped Euler-Bernoulli beam on the partial Winkler foundation with arbitrary boundary conditions subjected to the moving load. The effects of the elastic coefficient of Winkler foundation, as well as velocity and accelerate of the moving load are assessed. The results are shown that the maximum deflection depends on the increasing or decreasing acceleration of the moving load. On the other hands, it does not occur at the central point of the beam for all acceleration values. Based on the results, the acceleration value of load dominantly defines the dynamic deflection shape of the Euler-Bernoulli beam. Some numerical examples are shown to demonstrate the simplicity and efficiency of the Dynamic Green Function in the new formulation, in this paper.

Keywords:

Damped Euler-Bernoulli beam , Dynamic Green Function , moving load and boundary conditions