关键词: 半主动悬架, Hurwitz行列式, 双Hopf分岔, 非线性的, 中心流形理论

Abstract: 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.

Key words: semi-active suspension; , Hurwitz determinant, double Hopf bifurcation, nonlinear, center manifold theory