汽车半主动悬架的非线性动力学分析

Nonlinear Dynamics Analysis of Car Semi-active Suspensions

基于弹簧、减振器及轮胎的非线性方程,运用现代非线性动力学理论,对双质量块形式的悬架模型进行了稳定性分析。根据Hurwitz代数判据,使用MATLAB软件计算得到悬架系统的双Hopf分岔;依据中心流形理论,将系统降至二维,并利用李雅普诺夫第一运动稳定性定理,判定系统的稳定性。最后,得到簧载质量、非簧载质量的时域响应及相图,验证了计算过程及结果的正确性,为半主动悬架系统的设计及控制提供了数据支持。

Based on the nonlinear equations of spring,damper and tire,modern nonlinear dynamics theory was applied to analyze the stability of a double-mass suspension model.First of all,based on Hurwitz algebraic criterion,the software of MATLAB was used to calculate,and the double Hopf bifurcation of the suspension system was obtained.Second,the system was reduced to two-dimensional in the light of center manifold theory.The stability of the system was determined using Lyapunov theorem of the first movement stability.At last,the time domain responses and the phase diagrams of spring bearing quality and non spring bearing quality were got,which shows that the processes and results are right,the data was provided for design and control of semi-active suspension systems.