Analysis of Nonlinear Dynamic Characteristics of Wheel-Rail Impact Vibration System
When the vehicle passes through the local irregularities on the track,a force with sudden and random variations occurs between the wheel and rail,which causes a large change to the dynamic response of the vertical system of the vehicle,which affects the fatigue life of both the vehicle and the track components and the smooth operation of the vehicle,escalating the vehicle vibration.In order to analyze the dynamic characteristics of the vertical vibration damping system of the vehicle when the impact vibration occurs between the wheel and rail,this paper establishes a physical and mathematical model of the vertical wheel-rail impact vibration system,in which the dynamic equations are transformed into dimensionless forms,and the response of the impact vibration system is solved through the fourth-order R-K numerical method with fixed step size.And the vertical impact position of wheel and rail is considered as the Poincaré mapping interface of the system,the bifurcation forms of the system under different dimensionless excited frequencies are analyzed by employing the bifurcation diagrams,phase diagrams and the time domain response.Through the numerical simulation,the process of the system transitioning to chaotic motion through codimension-two Hopf-Flip bifurcation and period-doubling bifurcation is analyzed,which provides a reference for the chaos prediction and control in the vehicle vibration reduction design.
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