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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
shu

Bifurcation research for piecewise linear system involved in discontinuous damping force

  • 1.

    School of Traffic and Vehicle Engineering, Shandong University of Technology, Zibo 255049, China

  • 2.

    State Key Laboratory of Structureal Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China

  • Received Date: April 19, 2011
  • Revised Date: August 03, 2011
    Graphical Abstract
    • 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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