货物列车编组对列车-桥梁系统空间振动的影响

Influence of freight train formation on spatial vibration of train-bridge system

基于列车、桥梁空间振动分析模型,利用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,建立了列车-桥梁系统空间振动矩阵方程,采用Wilson-θ法求解。研究了5种不同货物列车编组对列车-桥梁系统空间振动响应的影响,得出了一些符合物理概念的桥梁振动响应时程曲线。研究结果表明:机车、车辆轴重是影响桥梁竖向振动位移的主因;空载货车作用下的车桥系统横向振动响应比重车的要大;全列空车编组及空重混编是影响列车-桥梁系统横向振动响应的不利编组,而全列空车编组更为不利;在进行桥上货物列车脱轨分析时,宜采用全列空车编组;通过改善列车编组的方法可以提高列车-桥梁系统振动性能。

Based on the spatial vibration analysis models of train and bridge, the spatial vibration matrix equation of the train-bridge system was established by the principle of total potential energy stationary value in elastic system dynamics and the rule of ＂set-in-right-position＂ in formulating system matrix. The matrix equation of the system was solved by the Wilson-θ method. The influence of five different fi＇eight train formations on the spatial vibration responses of the train-bridge system was studied. Some history curves of the bridge vibration response were also obtained, which are agreement with the physics concepts. The results show that the axle load of locomotive and car is the primary matter affecting the vertical bridge displacement. The transverse vibration responses of the train-bridge system are larger under the action of empty cars than those of loaded cars. Both the full empty car formation and mixed empty and loaded car formation are the disadvantage formation, which affects the vibration responses of the train-bridge system, and the full empty car formation is the worst. When analysis of train derailment on bridge is made, the full empty car formation should be applied. The vibration performance of train-bridge system can be improved by reforming the train formation.