北京交通大学 机械与电子控制工程学院, 北京 100044
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School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China
为了改善计算效率,在非线性轨道车辆动力学仿真中引入广义多步显式积分算法.针对非线性系统将算法改造为增量格式.列车动力学模型由轨道车辆模型和钩缓装置模型等组成.采用增量格式的广义多步显式积分算法分别研究列车连挂冲击和列车中低速碰撞问题.研究结果表明：广义多步显式积分算法在测试的算例中具有良好的稳定性,其计算速度约为龙格库塔法的3.8倍.干摩擦式钩缓装置模型在过渡状态存在车钩锁死现象.由于车钩锁死列车撞击过程中会出现车体加速度的高频振荡.广义多步显式积分算法可以适用于非线性轨道车辆动力学仿真.
A generalized multi-step explicit integration method (GMEM) was used to improve the computational efficiency for nonlinear rail vehicle dynamics. The increment formulation of the explicit integration algorithm was developed for nonlinear systems. The train dynamic model consisting of the vehicle and couplers, etc., was established. Both the coupling impacts and the medium- and low-speed collisions of the vehicles were studied by using the GMEM. The results indicated that the GMEM is endowed with good stability in the testing examples. The computational speed of the GMEM is approximately 3.8 times of that of the Runge-Kutta method. The locking phenomenon occurs in the transition stage for the dry friction coupler model. The carbody acceleration oscillates with high frequencies due to the locked state in the train impact. Therefore, the GMEM is appropriate for the simulation of the nonlinear rail vehicle dynamics.
杨超,李强,王曦.面向非线性轨道车辆动力学的广义多步显式积分算法应用*[J].动力学与控制学报,2020,18(3):51~55; . APPLICATION OF A GENERALIZED MULTI-STEP EXPLICIT INTEGRATION METHOD TO NONLINEAR RAIL VEHICLE DYNAMICS*[J]. Journal of Dynamics and Control,2020,18(3):51-55.
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