FE simulation of steady state wave motion in solids combined with a PML approach

Abstract

This study presents a finite element (FE) framework for simulation of steady state wave motion, combined with a so-called PML approach. The steady state wave motion of current interest are not only time-harmonic load but can also be constant-speed moving load. We adopt an existing PML approach (from low-frequency electromagnetic wave) to apply to the steady state FE simulation of constant-speed moving load vibration as well as temporal harmonic load vibration. In the paper, we will present the PML formulation in both the frequency and steady-state time domains. To validate the approach, then we compare the simulation results with available analytical reference solutions, and with a set of real measured field data (high-speed train data). In addition, we solve more example of steady state vibrations resulting from different train speed (e.g. subcritical, critical and supercritical).