Coupled Lateral Vibrations between Rail and Railway Vehicle's Wheels Part 1,Equations of Motion of Rail and Its Characteristics

This paper presents a basic research to the study on the coupled lateral vibration between rail and railway vehicle's wheels. The rail is modeled as an infinitely long beam on an elastic foundation with twosprings with respect to lateral deflection and torsion. The equations of motion describing a coupled vibration between lateral deflection and torsion of rail are introduced. The problems of a lateral and also a vertical steady state vibration of rail are formulated assuming that the contact point between a wheel and a rail moves at constant speed. Besides, the mechanical impedance and displacement function are obtained in order to clarify the dynamic characteristics of rail. Theoretical results agreewell with Remington's experimental results and, therefore, this agreement shows the validity of this analysis.