Analytical Approach to Vibration Analysis of the Rail Vehicle Model

Wheel/rail contact simulation is one of the mostcomplicated problems in the modeling of railway vehicles.The wheel/rail interaction plays a unique role in railvehicle dynamics. In this paper, the dynamic response ofthe rail vehicle on irregular rail track is analyzed withanalytical approach using the method of Multiple Scales(MMS). The Hertzian contact theory is used to obtain therelationship between normal contact force and thedisplacement of the mass center of the wheel. To validatethe method presented in this paper, responses of the modelusing MMS method are compared with the resultsobtained from the Runge–Kutta numerical solution.

کلیدواژه ها:

Rail vehicle dynamics ، Hertz elastic contact ، Method of Multiple Scales ، Runge–Kutta method