Stochastic Railway Dynamics: Modelling and Simulation

摘要

The paper investigates stochastic dynamics of rail-vehicle systems by applying second order integration schemes to the drift and diffusion terms of the describing stochastic equations. The ride on rough rail surfaces generates vertical vehicle-wheel vibrations whose root-mean-squares become resonant for critical speeds. For quarter models of vehicles with two degrees of freedom, optimal system damping is derived. These investigations are extended to nonlinear wheel suspensions with cubic-progressive spring characteristic. In case of weak under-critical damping, cubic nonlinearities reduce the wheel vibrations and increase the vehicle vibrations. When the damping becomes overcritical, growing nonlinearities lead to destabilizing vibration effects.