DETERMINATION OF CRITICAL SPEEDS AND CRITICAL FORCES IN CONSTANT FORCE MOVEMENT ALONG BEAMS ON ELASTIC FOUNDATION
As a result of the trains'movement with critical speeds rail deflections and vibrations may increase considerably and even lead to derailment. These critical speeds may be exceeded by modern high-speed trains, especially in cases when the track is laid on soft ground and critical speeds are low. The formulas of the critical velocities and critical longitudinal forces when moving load on the beams, describes by models of Rayleigh's and Timoshenko's beams, are determined. For solutions the Fourier transform and the theory of residues are used. The results are presented in an analytical form comfortable for practical problems.