The first passage problem of a stochastic wheelset system

In this paper, the first passage problem of a wheelset system under Gaussian white noise excitation is studied. Mainly from two aspects of analysis, one is the so-called first passage damage. The influence of noise intensity on mean first passage time and the sensitivity of yaw damper to wheelset system at different operating speeds are analyzed. The other type of damage is caused by the accumulation of fatigue damage represented by a physical quantity. In addition, according to the stochastic averaging method of quasi-non-integrable Hamiltonian system is proposed, the Hamiltonian function is approximated as a one dimensional Markov diffusion process dominated by Ito equation. The global stability of wheelset system is analyzed by using singular boundary theory. The instability condition of the wheelset system is analyzed theoretically from the perspective of energy, and the response of the wheelset system under different running speeds is analyzed numerically, and the critical speed is determined. Numerical simulation verifies the correctness of theoretical analysis.