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Hopf bifurcation and energy transfer of automobile shimmy system with consideration of road roughness excitation
Vehicle System Dynamics ( IF 3.6 ) Pub Date : 2020-09-17 , DOI: 10.1080/00423114.2020.1821903
Heng Wei 1 , Jianwei Lu 1 , Hangyu Lu 1 , Lei Shi 1 , Bofu Wu 1 , Ping Jiang 1
Affiliation  

The dynamic model of the automobile shimmy system considering the sinusoidal road roughness excitation is established, and the response characteristic of the shimmy system is investigated with numerical simulations. Based on the complexification-averaging (CX-A) method, the slow flow equations of the shimmy system are obtained, and the shimmy angle of the front wheel is available on the basis of the analytical solution of the system. In addition, the bifurcation theory is applied to evaluate the stability of periodic solutions of the shimmy system exposed to the road roughness excitation. Finally, the laws of energy transfer between relevant subsystems of the shimmy system at various speeds are analysed. The suppression mechanism of the automobile shimmy by the damping of the steering system and the damping of the suspension at various speeds is also investigated. The conclusions provide theoretical supports for better anti-shimmy design, thereby improving the stability of the automobile.



中文翻译:

考虑路面不平度激励的汽车摆振系统Hopf分岔与能量传递

建立了考虑正弦路面不平度激励的汽车摆振系统动力学模型,并通过数值模拟研究了摆振系统的响应特性。基于复化平均(CX-A)方法,得到了摆振系统的慢流方程,并根据系统的解析解得到了前轮摆摆角。此外,应用分岔理论来评估摆振系统在路面不平度激励下周期解的稳定性。最后,分析了摆振系统相关子系统在不同速度下的能量传递规律。还研究了通过转向系统阻尼和悬架阻尼在各种速度下抑制汽车摆振的机制。研究结论为更好的防抖设计提供理论支持,从而提高汽车的稳定性。

更新日期:2020-09-17
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