Analysis on spatial vibration response of train-track system in cross-wind

Based on the analysis theory for spatial vibration of train-track system,an analysis model for spatial vibration of cross wind-train-track system was established considering cross-wind on train. The matrix equation of spatial vibration of the system was established on the basis of the principle of total potential energy with stationary value in elastic system dynamics and the rule of set-in-right-position for formulating system matrixes,and the corresponding computer program was developed to solve the equation. The spatial vibration responses of train-track system in cross-wind were calculated,and the difference of the vibration responses and capsizing stability between different kinds of rolling stock was studied. And then,the effect of cross-wind on the vibration responses of the system was analyzed. The results show that the stability of tanker car is the best,the gondola car takes the second place,and the box car has the worst stability. And the cross-wind has significant influence on the lateral displacement,wheel load reduction rate and overturning coefficient of the car body,while it has little influence on the lateral acceleration of the car body,derailment coefficient and lateral ride index of the car body.