基于高速列车-桥梁时变系统空间振动分析模型,采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,建立此系统空间振动方程。运用列车脱轨能量随机分析理论,对天兴洲公铁分建40m简支梁桥客运线上高速列车在设计车速以内是否脱轨及在不脱轨条件下高速列车走行舒适性进行分析。研究结果表明:该桥上高速列车在300km/h车速以内运行时不会脱轨;高速列车走行舒适性均在良好标准以上;该桥竖向振动加速度满足要求。
Based on the analysis model of spatial vibration of spatial vibration equation set of the system was established by high - speed train and bridge time - variant system, the applying the principle of total potential energy with a stationary value in elastic system dynamics and the rule of "set - in - right - position" for formulating system matrices. According to random energy analysis theory of train derailment, a case concerning whether a high - speed train derails or not on the 40 m simple - supported beam of Tianxingzhou railway bridge at different speeds was calculated, and the riding comfort analysis of the train on the bridge was also made. The calculated results show that the high - speed train will not derail on the bridge at the speed below 300 km/h; the riding comfort of the train on the bridge is good, and the vertical vibration acceleration satisfies the specification.