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Periodic Motion and Transition of a Vibro†Impact System with Multilevel Elastic Constraints

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  • Jie Ding
  • Chao Wang
  • Wangcai Ding
  • Viktor Avrutin

Abstract

In this paper, a single-degree-of-freedom vibroimpact system with multilevel elastic constraints is taken as the research object. By constructing the Poincaré map of the system and calculating the Lyapunov exponent spectrum of the system, the stability of the system is determined. Using the multiparameter collaborative numerical simulation method, the parameter domains of various periodic motions are determined, and the diversity and transition characteristics of periodic motions are revealed. At the same time, combined with the cell mapping method, the coexistence of attractors induced due to grazing bifurcation, saddle-node bifurcation, and boundary crisis is studied. Finally, the influence of system parameters on periodic motion distribution is analyzed, which provides a scientific basis for system parameter optimization.

Suggested Citation

  • Jie Ding & Chao Wang & Wangcai Ding & Viktor Avrutin, 2021. "Periodic Motion and Transition of a Vibro†Impact System with Multilevel Elastic Constraints," Discrete Dynamics in Nature and Society, Hindawi, vol. 2021, pages 1-13, February.
    • Handle: RePEc:hin:jnddns:6687887
    DOI: 10.1155/2021/6687887
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