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建立拖车和动车的横—垂—纵向耦合动力学模型,考虑车间连接装置,组成三种列车编组。基于Hopf分叉和Poincare映射理论,采用数值积分方法研究列车编组中每辆车和列车整体的线性和非线性运动稳定性。仿真结果表明,直线轨道上列车中各车辆和相同参数单车的非线性临界速度相差不大;曲线轨道上列车的非线性临界速度比直线上低;列车编组方式对临界速度影响不大;车间横向连接阻尼和刚度对列车线性和非线性临界速度影响不大。研究直线和大半径曲线轨道上列车系统临界速度时,无论列车中各车辆的参数是否相同,列车的线性和非线性临界速度可以通过计算单车的最低线性和非线性临界速度分别近似得到。
Establishing the transverse-vertical-longitudinal coupling dynamic model of the trailer and the moving car, considering the workshop connecting device and forming the three train marshalling. Based on the Hopf bifurcation and Poincare mapping theory, the numerical integral method is used to study the linear and nonlinear motion stability of each train and train in train marshalling. The simulation results show that the nonlinear critical speeds of the vehicles in the linear orbit are the same as those of the bicycles with the same parameters. The nonlinear critical speed of the train on the curved orbit is lower than that of the straight line. The train grouping mode has little effect on the critical speed. The connection damping and stiffness have little effect on the linear and non-linear critical speed of the train. When investigating the critical speed of train system on linear and large radius curved orbit, the linear and nonlinear critical speeds of the train can be approximated respectively by calculating the minimum linear and non-linear critical velocities of the bicycle, regardless of whether the parameters of each train in the train are the same.