The bogie hunting stability directly determines the safe and smooth operation of the train at high speed. The use of active suspension technologies is an efficient way to improve the stability. At present, there is lack of research on the Hopf bifurcation mechanism and stability evolution of bogie hunting motion with applying active control. Hence, the Hopf bifurcation characteristics of hunting motion under the bogie yaw feedback control is studied. A three-degree-of-freedom simplified vehicle model including lateral and yaw motions of the bogie and lateral motion of the carbody is established. The actuator is adopted to replace the existing anti-hunting damper to provide the bogie yaw control torque. The bogie yaw angular displacement and angular velocity are taken as the state feedbacks and design the linear feedback controller. The Hopf bifurcation and limit cycle calculations are realized by using Matcont simulation.The results show that, compared with the bifurcation characteristics of passive suspension, the Hopf bifurcation points can be delayed by introducing two active control methods for bogie yaw angular displacement and velocity, i.e, the linear critical speed of the system is increased.The amplitude of limit cycle and the frequency of hunting motion decrease under the control of bogie yaw angular velocity. While under the control of bogie yaw angular displacement, the frequency of hunting motion increases, and the amplitude of limit cycle has no obvious change. Therefore, under the reasonable selection of control gain, the use of bogie yaw control can effectively improve the hunting stability of highspeed bogie.
文敬涵,曾京,毛冉成.高速列车转向架蛇行运动Hopf分岔控制研究[J].动力学与控制学报,2024,22(5):62~68; Wen Jinghan, Zeng Jing, Mao Rancheng. Research on Hopf Bifurcation Control of Bogie Hunting Motion of High-Speed Trains[J]. Journal of Dynamics and Control,2024,22(5):62-68.