This paper made a brief introduction about the temporal-spatial random nature of track irregularity, and proposes the probabilistic computation and inversion methods for temporal-spatial random samples. Based on the principle of total potential energy with stationary value in elastic system,the"set-in-right-position"rule for forming structural matrices and the theory of vehicle-track coupling dynamics,the dynamic calculating mo-dels applied to different vibration sources for train-track system were built. Through a comprehensive random analysis of the vibration sources of the train-track system,the probabilistic transformational relationship be-tween the vibration sources and random responses of the system was demonstrated. The vibrating responses of the system at different probabilistic level can be acquired by using temporal-spatial random analysis method, and it is feasible to take the bogie frame hunting waves as the response extremum of the calculation system of the transverse vibration sources of train-track system.%简述轨道不平顺的时-空随机特性和时-空随机样本的概率计算及反演方法,基于弹性系统动力学总势能不变值原理、形成矩阵的"对号入座"法则以及车辆-轨道耦合动力学理论,建立适合不同激振源的车辆-轨道系统动力计算模型.通过车辆-轨道系统激振源随机分析,论证系统激振源与系统随机响应之间的概率转换关系;采用激振源时-空随机分析方法,可以获取系统在不同概率水平下的振动响应;将构架蛇形波作为车轨系统横向激振源计算系统响应极值具有一定的可行性.
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