ON TORSIONAL ELASTIC WAVES IN THE VEHICLE GEARED DRIVE SYSTEMS

Abstract

In the paper, non-linear transient torsional vibrations of the motor and rail vehicle drive systems are investigated. Considerations are performed using discrete-continuous models consisting of rigid bodies of constant and variable mass moments of inertia connected each other by means of cylindrical elastic elements with continuously distributed parameters as well as by means of massless, non-linear torsional springs. An application of the d'Alembert solutions of the wave motion equations leads to appropriate systems of linear and non-linear ordinary differential equations with a 'shifted' argument. The shifted argument enables to solve these systems of equations numerically in an appropriate sequence which, in comparison with coupled ordinary differential equations for analogous discrete models, essentially increases the numerical efficiency and accuracy of the proposed method. In the numerical examples, there are considered some non-linear effects due to backlashes in the geared drive systems of the motor vehicle and the electric locomotive bogie.