Study on bifurcation and chaos of elastic collision in wheel-rail system of quarter vehicle

Wheelset as a key component of the running part of railway vehicles, the geometric relationship between wheel and rail is complex, and the collision vibration of wheel and rail has a great impact on the stability of vehicle operation, which will affect the driving safety in serious cases. Therefore, this paper mainly studies the dynamic behavior characteristics of wheel-rail system under snake excitation. In the case of ignoring the rolling and shaking motion of the wheel-set, the transverse and vertical motion of the wheel-rail system is considered to be weakly coupled, and the vibration model of elastic collision of the wheel-rail system of a quarter vehicle is established to study the nonlinear dynamic characteristics of the wheel-rail system of the vehicle.The analytical solution is obtained by using semi-analytic method, and then the fourth-order Runge-Kutta method is applied to numerical simulation by MATLAB software. The simulation parameters of vehicle wheel-rail system are fine-tuned, and abundant nonlinear dynamic characteristics are found.