Double Random Vibration Analysis for Coupled Vehicle-Track Systems With Parameter Uncertainties

摘要

A new random vibration-based assessment method for coupled vehicle-track system with uncertain parameters subjected to random track irregularity is proposed in this paper. The dynamic equations of the coupled vehicle-track system under the mixed physical coordinates and symplectic dual coordinates are established based on the wheel-rail coupling relations. The control equation with respect to the uncertain parameters is derived by using the Hermitian orthogonal polynomials for dynamic analysis of the coupled systems. By using the periodic features of the track, the "curse of dimensionality" of the control equation is effectively reduced.