单转向轮摆振非线性动力学研究  

Research on Nonlinear Dynamics of Caster Wheel Shimmy

作　　者：肖闯[1] 殷智宏[1] 

机构地区：[1]湖南大学汽车车身先进设计制造国家重点实验室,长沙410082

出　　处：《中国机械工程》2013年第8期1131-1135,共5页China Mechanical Engineering

摘　　要：建立了单转向轮系统的非线性动力学微分方程;以常微分方程稳定性理论为基础,研究了系统参数对稳定性的影响;运用非线性动力学稳定性理论,阐明了单转向轮的等幅摆振是一种Hopf分岔后出现的稳定的极限环振动现象;计算了临界分岔参数和极限环半径,即摆振振幅;通过数值仿真,证明了自激振动的存在,当系统参数达到临界值时,发生Hopf分岔现象。The caster wheel of a wheelchair was simplified to a 2--DOF dynamics model. Bifurca- tion characteristics of the self--excited shimmy and stability analysis were analyzed by Hopf bifurca- tion theory of nonlinear dynamics and by stability theory of ordinary differential equation. The ampli- tude of limit cycle was calculated. The computation results indicate that the self--excited shimmy is a stable limit cycle occurring after Hopf bifurcation and it can occur on the steering wheel with a certain set of parameters.

关 键 词：转向轮摆振 HOPF分岔 极限环 稳定性 

分 类 号：V216.2[航空宇航科学与技术—航空宇航推进理论与工程] U461.6[机械工程—车辆工程]