Comparison of the Dynamic Response of One- and Two-Dimensional Models for an Embedded Railway Track to a Moving Load,

In this paper, the steady-state response of an embedded track to the axle loading of a moving train is studied theoretically using two models. The first and the second models are one-dimensional (1D) and two-dimensional (2D), respectively, and differ by the fact that the latter model accounts for the lateral flexibility of the concrete slab of the track. The loading is modelled by a harmonically varying load that uniformly moves along the track. The response to this load is studied analytically with the help of the Fourier integral transforms. The study is accomplished performing the following steps, every of which is accompanied by comparison of two models under consideration. Firstly, the dispersion curves are calculated and critical parameters (frequency and velocity) of the load are found that could lead to resonance in the structure. Secondly, displacements of the rails and stresses in the concrete slab are studied for various velocities and frequencies of the load. The results obtained from both models are compared to that one calculated using a Finite Element program. On the basis of a comparative analysis of results obtained from the 1D and 2D models it is concluded that in engineering calculations, the 1D model can be employed for a quick and sufficiently accurate assessment of the dynamic behaviour of the embedded track under a high-speed train.Civil Engineering and Geoscience