INFLUENCE OF MOTION OF THE LOAD DISTRIBUTED OVER A GIVEN LENGTH ON BENDING MOMENT AND SHEAR FORCE IN A TRACK MODELLED AS TIMOSHENKO BEAM

Abstract

The object of consideration is a track modelled by Timoshenko beam resting on inertialess, viscoelastic foundation of non-linear characteristic. The beam is subjected to load distributed over a given length and moving at a constant velocity. Stationary vibrations of the beam are described by two ordinary differential equations of the fourth order determined from the system of two partial differential equations. To analyze the influence of non-linearity, the method of approximation presented in [2] was applied. The study of the load motion velocity on extreme values of bending moments and shear forces in a track was considered taking into account the assumed types of non-linearities.