TRACK-VEHICLE IN-PLANE DYNAMICAL MODEL CONSISTING OF A BEAM AND LUMPED PARAMETER COMPONENTS

Abstract

This paper deals with the exact mathematical description of a simple in-plane track-vehicle dynamical system model. The railway track is modelled by a beam on damped linear foundation, while the two-axle railway vehicle is modelled by a lumped parameter linear dynamical system. The interaction between the track and the vehicle in vertical plane is described by the 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.