Analysis method of stability and critical speed for train-track (bridge) time-variable system under lateral vibration condition
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摘要: 基于不明原因列车脱轨机理与运动系统平衡状态稳定性分析的能量增量准则, 提出了列车-轨道(桥梁)时变系统横向振动稳定性与失稳临界车速分析方法, 确定了系统横向振动最大输入能量及其增量, 计算了系统横向振动极限抗力做功及其增量, 建立了系统横向振动稳定性评判准则, 计算了系统横向振动失稳临界车速。通过算例, 计算了高速列车-无砟轨道时变系统横向振动稳定性及控制高速列车安全运行的指标。计算结果表明: 高速列车-无砟轨道时变系统横向振动的失稳临界车速为647.3 km.h-1, 容许极限车速为517.84 km.h-1, 抗脱轨安全度为1.85, 因此, 高速列车以350 km.h-1的车速在无砟轨道上运行是安全的。Abstract: On the basis of the mechanism of train derailment caused by unknown reasons and the energy increment criterion for checking the stability of equilibrium state of a system in motion, the analysis method of lateral vibration stability of train-track(bridge) time-variable system and the calculation methods of critical speed and admissible limit speed for the system under lateral vibration condition were put forward. Under lateral vibration condition, for the system, the maximum input energy and its increment were determined, the limit resistant force working and its increment were calculated, the judging rules of vibration stability were set up, and the critical speed was computed. Through an example, the lateral vibration stability of high-speed train and ballastless track system and the running safety control indexes of high-speed train were calculated. Computation result shows that the critical speed of the system is 647.3 km·h-1, the admissible limit speed is 517.84 km·h-1, and the anti-derailment safety degree is 1.85. So, high-speed train safely runs on ballastless track at the design speed of 350 km·h-1.
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