摘要
以某货车的主副钢板弹簧后悬架系统为模型,建立了一类两自由度具有非连续阻尼力分段线性系统的微分方程.建立Poincare映射,推导了系统在各分界面处的跳跃矩阵,经分析得知跳跃矩阵与系统的弹簧刚度无关,只与阻尼力有关.通过数值方法进一步揭示了系统发生的Neimark-Sacker分岔现象.分析了在单边横截穿越情况下阻尼系数对系统稳定性的影响.对该类碰撞系统分岔和混沌的研究,有助于工程中此类弹性碰撞系统的优化设计.
Based on truck suspension model consisting of primary and subsidiary springs, a two-degree-offreedom system with piecewise-linearity involved in discontinuous damping force is established The stroboscopic Poincare map is established, and the saltation matrix is deduced by zero-time discontinuity mapping method at the interface. The result indicates that the saltation matrix is independent on spring rate, but is not independent on damping force. The Neimark-Sacker bifurcation point is investigated by the numerical calculation. The research on bifurcation and chaos can contribute to optimizing design in impacting systems.
出处
《力学学报》
EI
CSCD
北大核心
2011年第6期1191-1195,共5页
Chinese Journal of Theoretical and Applied Mechanics
基金
山东省自然科学基金资助项目(ZR2009FL016)~~
