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视车辆、轨道为一个系统,利用弹性系统动力学总势能不变值原理和形成矩阵的“对号入座”法则建立该系统的竖向振动方程,考虑轨道随机不平顺,得到列车5种运行速度下轨道的随机动力响应.列车每种速度下每次得到的轨道动力响应最大值视为随机变量的一次观察值.计算结果表明:列车每种速度下钢轨和轨道板的位移最大值、加速度最大值、车轮加速度最大值以及轮轨力最大值等随机变量均服从正态分布;随着列车运行速度增加,轮轨力最大值随机变量的均值和轨道动力响应最大值随机变量的均值亦增加.
Considering the vehicle and the orbit as a system, the vertical vibration equation of the system is established by using the principle of invariable value of the total potential energy of the elastic system dynamics and the matrix formation method. Taking into account the random orbit irregularities, five kinds of operating speeds of the train are obtained The random dynamic response of the lower track The maximum value of the dynamic response of the track under each speed is taken as an observation of the random variable.The calculation results show that the maximum displacement and the acceleration of the rail and track plate at each speed Value, maximum wheel acceleration and maximum wheel / rail force all follow normal distribution. As the train speed increases, the average value of the maximum random value of the wheel and rail force and the mean value of the maximum random value of the orbital dynamic response also increase.