轨道梁在磁浮列车以共振速度通过时动力响应分析  

DYNAMIC RESPONSE OF GUIDEWAY GIRDERS DUE TO HIGH-SPEED MAGLEV TRAINS MOVING AT RESONANT SPEEDS

作　　者：时瑾[1] 姚忠达[2,3] 王英杰[1] 

机构地区：[1]北京交通大学土木建筑工程学院,北京100044 [2]浙江大学建筑工程学院,杭州310058 [3]淡江大学建筑学系

出　　处：《工程力学》2012年第12期196-203,共8页Engineering Mechanics

基　　金：国家自然科学基金项目(51008018;10972196);高等学校博士学科点专项科研基金项目(20090009120020)

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)。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.

关 键 词：高速磁浮 轨道梁 列车 动力响应 共振 

分 类 号：U213[交通运输工程—道路与铁道工程]