Analysis of the influence of the track vertical profile irregularity on the vibration of the vehicle and the track under high speed moving train

A high speed train-track coupling system vertical dynamics model is established by considering the nonlinear wheel-rail contact, and the cross iteration method for solving the train-track nonlinear coupling system dynamics equations is proposed. Four kinds of track irregularities, i.e. the smooth track, the track random irregularity, the short-wave irregularity, and the combined track random irregularity and short-wavelength irregularity, on the vibration responses of the train and the track are analyzed with this model. The calculated results show that the vehicle and the bogie passing frequencies are the main excitation sources of the track vibration displacement and velocity, whereas the short-wave irregularity is the main excitation source of the track vibration acceleration. The track random irregularity, the short-wave irregularity and the sleeper spacing have great influence on the wheel-rail force, and the wheelset and the bogie vibration acceleration, while the car-body vibration acceleration is mainly affected by the track random irregularity.