ON HYBRID DYNAMICAL MODELS OF THE VEHICLE TRACK SYSTEM

Abstract

In the applications of vehicle system dynamics it is very important to create effective simulation models to predict the motion and loading processes of the components in the complex 'vehicle - track' system. The paper deals with the exact mathematical description of a four-axle bogie-vehicle in the framework of an in-plane hybrid dynamical system model. In the latter the railway track is modelled by a homogeneous beam on damped linear foundation, while the vehicle is modelled by a lumped parameter linear dynamical system. The interaction between the track and the vehicle models in vertical plane is described by a Hertzian spring and damper, belonging to the linearized vertical contact force transfer. Formulation of the mathematical models, as well as the closed-form solutions for the excitation-free system are presented.