Dynamic Response of Railway on Partial Elastic Foundation under Accelerating Moving Load using Dynamic Green Function

The dynamic response of rails to moving loads is one of interest in the area of high- speed transportation. If simple geometries of the track and subsoil are assumed, a theoretical concept can be introduced that is based on the assumption that the track structure acts as a continuously supported beam resting on a uniform layer of springs. Therefore, the response of the railway under moving load on the partial Winkler foundation using Dynamic Green Function is presented in this paper. An exact and direct modeling technique is introduced for the railway modeling as the damped beam on the partial Winkler foundation under the moving load. The Euler-Bernoulli theory (EBT) is considered for the beam element. Also, the solution technique is based on the Dynamic Green Function. The effects of the elastic coefficient of Winkler foundation, as well as velocity and accelerate of the moving load and boundary conditions are assessed. The results are shown that the maximum deflection of the beam 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. 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 beam , Dynamic Green Function , moving load , boundary conditions