中文摘要：

该文研究了高速磁浮列车运行引起的轨道梁动力响应问题。采用模态综合技术建立了梁墩体系模型，推导了高速磁浮列车轨道梁运动方程，运用迭代技术求解了列车轨道梁系统动力学方程，计算分析了高速磁浮列车通过24m简支轨道梁引起的动力响应，结果表明：随着运行速度提高，轨道梁动力响应相应提高，在350km／h左右存在一阶二次谐波共振；当列车运行速度超过400km／h时，轨道梁和列车动力响应将被显着放大，为避免轨道梁出现一阶一次共振现象，在设计上，应使轨道梁的一阶自振频率远高于磁浮列车与轨道梁的特征频率（即设计速度与车长比值）。

英文摘要：

This paper presents the investigation of dynamic response of a guideway subjected to a maglev train moving with very high speeds. By using modal synthesis technology to establish the guideway-pier model, the equations of motion for the maglev train/guideway coupling system are derived and the dynamic response of the train-guideway system are computed using iterative methods. From the numerical studies of a 24m elevated guideway girder under a high-speed maglev train model of TR08, the results indicate increasing moving speeds may result in an amplified response of the guideway, and the second sub-resonance of the first mode of the guideway would be excited as well once the moving speed reaches around 350km/h. Furthermore, when the moving speed of the malgev train is higher than 400kin/h, the response amplitudes of the guideway girder and moving vehicles are both amplified significantly. To avoid possible train-induced resonance of guideway vibration, the first natural frequency of the guideway should be designed to be higher than the characteristic frequency of the maglev vehicle/guideway system, which is equal to the ratio of the designed speed to the carriage length.