Calculation of the Dynamic Responses of Rails Subjected to Moving Loads on Ballasted Railway Track

Abstract

The dynamical responses of railway track has been carried out by different ways. In this work, by developing an analytical model for the ballasted railway track which includes two rails connected to the railway sleeper, a fast method to calculated the dynamic responses of the two rails is presented. The rail is modelled as the infinite beams posed on the periodically supports which are rested on a viscoelastic foundation. We consider the dynamic equation in the steady-state of rails subjected to the moving loads. By using Fourier transform together the periodically conditions, a relation between the reaction force and the beam displacement in the frequency domain has been demonstrated. Then, by performing this relation into the dynamic equation of sleeper laying on viscoelastic foundation, the dynamic responses of the two rails can be obtained with a help of Green’s function. The numerical example demonstrates the effect of the support on the beam responses.

Calculation of dynamic responses of railway sleepers on a nonlinear foundation

“…A numerical method has been also developed to calculate the solutions of the beam in the case of tensionless foundation [33][34][35]. The nonlinear responses of beams subjected to moving loads carrying multiple mass-spring-damper attachments has been also studied [36][37][38][39][40][41]. However, the effect of the non-linearity of the foundation is not easy to take into account in the periodically supported beam model.…”