具有滞后非线性悬挂的机车车辆转向架运行稳定性的研究

Lateral stability analysis of a rolling stock bogie with hysteretic nonlinear hanging

针对一类比较典型的具有滞后非线性悬挂的机车车辆转向架非线性系统,采用以变步长龙格—库塔数值积分算法为核心的数值算法,对转向架的横向运动行为进行了数值仿真。提出的模型以1位轮对的横向振动为例对转向架的横向振动分岔进行了数值仿真,得知转向架的横向振动分岔为亚临界Hopf分岔。同时,根据极限环理论分析了该分岔的平衡点吸引域和极限环吸引域,得出了3点稳定性结论,并对其进行了数值仿真,得到了与结论相吻合的仿真结果。

Lateral stability of railway passenger car's bogie is studied. Using Runge-Kutta numerical integration methods,the numerical simulation of lateral stability of railway bogie which is a representative non-linear mathematical model with hysteretic nonlinear hanging is made. Against the model, taking the lateral vibration of the first wheel as an example, the numerical simulation of the bogie lateral vibration bifurcation is made,and it is found that the bogie lateral vibration bifurcation is the inferior and critical Hopf bifurcation.At the same time, according to the theory of limit cycling,the domain of attraction of balance point and limit cycling are analysed ,and three stability conclusions are gained.By the numerical simulation about the three conclusions,the anastomotic results are found.