Oscillations and Stability of a Wheel Rolling on a Flexible Rail
Frequently rails of railway systems undergo corrugation due to an oscillatory contact between wheel and rail, cf. KNOTHE and VALDIVIA. This paper studies the stability of the stationary motion of a rigid wheel rolling on a straight (uncorrugated) flexible rail. Starting from geometrically nonlinear equations of motion, a set of variational equations for oscillations about a simplified stationary solution is established. Its spectrum consists of a continous and a discrete part. The discrete eigenvalues are calculated for parameters close to realistic ones. Several numerical problems occur.
KeywordsEigenvalue Problem Variational Equation Stationary Motion Discrete Part Railway System
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