中文摘要：

研究了具有非线性刚度和非线性阻尼的单自由度汽车悬架在简谐路面激励作用下的亚谐共振。非线性刚度采用立方非线性模型，非线性阻尼采用改进Bingham模型。利用平均法得到了系统的幅频响应方程，并用奇异性理论对分岔方程进行了分析，得到了转迁集和分岔图。结果表明，系统分岔方程是超出十一种基本分岔之外的一种三参数普适开折。另外，还详细分析了系统参数对开折参数和分岔参数的影响，得到了一些有益的结论，可为悬架设计中系统参数的合理选择提供理论指导。

英文摘要：

Sub-harmonic resonance of a SDOF vehicle suspension system with nonlinear stiffness and nonlinear damping under harmonic excitation is investigated. A cubic model describes the nonlinear spring force, and a revised gingham model represents the nonlinear damping force. The amplitude frequency resonance equation is obtained by averaging method, and then the system＇s singularity is analyzed completely, and the transion sets and bifurcation plots are shown in parametric space. Then the effects of system parameters on the bifurcation parameter and unfold parameters are studied detailedly. Some conclusions are drawn, which may be benefit to a reasonable selection of the system parameters in the course of vehicle suspension design.