基于高速列车—板式轨道系统空间振动分析理论,考虑横风作用效应,建立了风—高速列车—板式轨道系统振动分析模型,推导了列车风荷载势能;将它与列车振动势能及板式轨道振动势能相加,得出系统振动总势能;根据弹性系统动力学总势能不变值原理及形成系统矩阵的"对号入座"法则,建立系统空间振动矩阵方程,并编制了相应计算程序。分析了横风作用下高速列车和板式轨道的动力响应。研究结果表明:横风对车体的横向及竖向位移、轮重减载率、倾覆系数等有很大影响,对脱轨系数、横向Sperling指标有一定的影响,而对钢轨的横向及竖向位移影响很小。
A dynamic analysis model of wind and high - speed train and slab track system was presented accord- ing 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 e- quation 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 ver- tical 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 dis- placement responses with the cross- wind action are almost the same as those without the cross- wind action.