Dynamics of train composition as a discrete non-homogeneous chain system

Abstract

The longitudinal train dynamics which included movement and oscillations of coupled railway vehicles only in the direction of the track (longitudinal) is analyzed. The one direction motion of the train, as well as the relative motions between vehicles, is presumed. The assumption of exclusion of movements of the vehicles in the vertical direction is taken in accordance with the real low values of these displacements components. Model of train is generally present as a discrete non-homogeneous chain system with viscoelastic non-linear frictional elements. This model simulates railway vehicles equipped with conventional pneumatic brake system and brake blocks. In the presented research, for the developed train model, a general solution of the system of ordinary differential equations, which described eigen and forced vibrations of a non-homogeneous chain under the external one frequency excitation, is obtained and analyzed. The methods and procedures used for solving the described task are explained in detail. The presented theoretical simulation model and real dynamics of train composition are compared and conclusions about the suitability and accuracy of the developed model are discussed.