列车-曲线桥梁系统耦合振动分析

为进一步研究列车-曲线桥梁系统耦合振动特性,基于车辆-桥梁/轨道系统动力相互作用分析理论,采用模态叠加法建立列车-曲线桥梁系统的空间耦合振动方程.沿轨道中心线建立移动坐标系,借助坐标转换,确定列车通过曲线桥梁时的几何位置关系; 考虑列车曲线运动特点,基于赫兹弹性接触理论和卡尔克(Kalker)蠕滑理论,解决列车曲线运动时的轮轨接触耦合关系,并对广义力向量进行修正; 采用龙格库塔积分法求解列车-曲线桥梁的动力响应.依据以上理论,研究了曲率半径、曲线超高以及车速对列车-曲线桥梁耦合振动响应的影响规律.分析结果表明:桥梁和列车的振动响应随车速的增大而增大,随着曲线半径的增大而减小.桥梁的振动响应不随曲线超高的增大而变化,列车的振动响应在平衡超高和过超高时较小.

Coupling vibration analysis on train-curved bridge system

In order to further study the coupling vibration characteristics of train-curved bridge system, the spatial coupling vibration equations of train-curved bridge system were established with the mode superposition method and based on the analysis theory of dynamic interaction for the vehicle-bridge/track system. The moving coordinate system was established along the centerline of track, and the geometric positional relationship when the train passed the curved bridge was determined through the coordinate transformation. With considering the features of train curvilinear motion, the coupling relationship for wheel-rail contact was solved during the train curvilinear motion based on both Hertz’s elastic contact theory and Kalker’s creep theory, and the generalized force vectors were revised. The dynamic response of train-curved bridge was solved by the Runge-Kutta integration method. According to the above-mentioned theories, the influence of curvature radius, curve super-elevation and train velocity on the coupling vibration response of train-curved bridge was researched. The results show that the vibration response of both bridge and train increases with increasing the vehicle speed, and reduces with increasing the curve radius. However, the vibration response of bridge exhibits no change with increasing the super-elevation, and the vibration reponse of train is smaller under the condition of balance super-elevation and ultra-elevation.