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一类非连续阻尼力分段线性系统的分岔研究

任传波 周继磊

任传波 周继磊. 一类非连续阻尼力分段线性系统的分岔研究[J]. 力学学报, 2011, 43(6): 1191-1195. DOI: 10.6052/0459-1879-2011-6-lxxb2011-091
引用本文: 任传波 周继磊. 一类非连续阻尼力分段线性系统的分岔研究[J]. 力学学报, 2011, 43(6): 1191-1195. DOI: 10.6052/0459-1879-2011-6-lxxb2011-091
Chuanbo Ren Jilei Zhou. Bifurcation research for piecewise linear system involved in discontinuous damping force[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(6): 1191-1195. DOI: 10.6052/0459-1879-2011-6-lxxb2011-091
Citation: Chuanbo Ren Jilei Zhou. Bifurcation research for piecewise linear system involved in discontinuous damping force[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(6): 1191-1195. DOI: 10.6052/0459-1879-2011-6-lxxb2011-091
任传波 周继磊. 一类非连续阻尼力分段线性系统的分岔研究[J]. 力学学报, 2011, 43(6): 1191-1195. CSTR: 32045.14.0459-1879-2011-6-lxxb2011-091
引用本文: 任传波 周继磊. 一类非连续阻尼力分段线性系统的分岔研究[J]. 力学学报, 2011, 43(6): 1191-1195. CSTR: 32045.14.0459-1879-2011-6-lxxb2011-091
Chuanbo Ren Jilei Zhou. Bifurcation research for piecewise linear system involved in discontinuous damping force[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(6): 1191-1195. CSTR: 32045.14.0459-1879-2011-6-lxxb2011-091
Citation: Chuanbo Ren Jilei Zhou. Bifurcation research for piecewise linear system involved in discontinuous damping force[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(6): 1191-1195. CSTR: 32045.14.0459-1879-2011-6-lxxb2011-091

一类非连续阻尼力分段线性系统的分岔研究

基金项目: 非线性和时滞因素作用下汽车悬架动力学性能分析与控制
详细信息
  • 中图分类号: O322

Bifurcation research for piecewise linear system involved in discontinuous damping force

  • 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Poincaré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.
    Abstract: Based on some truck suspension model consisting of primary and subsidiary spring, a two-degree-of-freedom system with piecewise-Based on truck suspension model consisting of primary andsubsidiary springs, a two-degree-of-freedom system with piecewise-linearityinvolved in discontinuous damping force is established The stroboscopicPoincaré map is established, and the saltation matrix is deduced byzero-time discontinuity mapping method at the interface. The resultindicates that the saltation matrix is independent on spring rate, but isnot independent on damping force. The Neimark-Sacker bifurcation point isinvestigated by the numerical calculation. The research on bifurcation andchaos can contribute to optimizing design in impacting systems.
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出版历程
  • 收稿日期:  2011-04-19
  • 修回日期:  2011-08-03
  • 刊出日期:  2011-11-17

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