A novel nonlinear dynamics solver for simulating train traversing over a railway track: Unilateral contact theory approach

Abstract

This manuscript puts forward a novel nonlinear dynamics solving algorithm to simulate the motion of a multibody rail coach vehicle over a railway track. The proposed solver is based on unilateral contact theory, which is capable of modeling discrete multiple contact points between the wheels and rail. Moreover, linear complementary conditions are applied to predict the normal gaps between the wheels and rail at each time step, along with the frictional force acting at the wheel–rail interface. Using the proposed solver, the train–track dynamics has been thoroughly investigated in this manuscript. The results through the proposed solver are studied for contact-point identification between the wheels and rail, along with the dynamic behavior of the track components for varying stiffness of track layers and velocity of the train. The proposed solver proves to be capable enough to predict the contact dynamics for high speed railways.