Analysis of spatial vibration of high-speed train and slab track system under cross-wind

A dynamic analysis model of wind and high-speed train and slab track system was presented according to the analysis theory of spatial vibration of high-speed train and slab track system and by taking cross-wind loads on trains into consideration.The potential energy of the cross-wind load on the train was derived,the total potential energy of the system vibration was obtained by combing the potential energy of the cross-wind load,the potential energy of the train vibration and the potential energy of the slab track vibration,the matrix equation of spatial vibration of the system was established and the corresponding analysis program was written by the principle of total potential energy with stationary value in elastic system dynamics and the rule of set-in-right-position for formulating system matrices.The dynamic responses of the train and the track under cross-wind action were analyzed.The results show that the cross-wind has significant influence on the lateral and vertical displacement responses of the car body,load reduction factor and overturning factor.And the cross-wind certainly affects the derailment factor and comfort performance of the moving train.The lateral and vertical displacement responses with the cross-wind action are almost the same as those without the cross-wind action.