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Analysis of dynamical behaviors of a 2-DOF vibro-impact system with dry friction

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  • Fan, Jinjun
  • Yang, Zhaoxia

Abstract

In this paper, the discontinuous dynamics in a 2-DOF (two-degree-of-freedom) vibro-impact system with dry friction is investigated by using the flow switchability theory for discontinuous dynamical systems. Multiple domains and discontinuous boundaries are defined according to friction and impact discontinuity. Based on above domains and boundaries, the onset and disappearance conditions of sliding-stick motion are developed and the analytical conditions of side-stick motion and grazing motion are obtained mathematically. The switching sets and mapping structures are adopted to describe the complex motions in such discontinuous system. The numerical simulations are also given to illustrate the analytical results of motion switching on different boundaries. This investigation can help us understand the motion switching mechanism in non-stick, sliding-stick or side-stick motions of the oscillator with friction and impact.

Suggested Citation

  • Fan, Jinjun & Yang, Zhaoxia, 2018. "Analysis of dynamical behaviors of a 2-DOF vibro-impact system with dry friction," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 176-201.
    • Handle: RePEc:eee:chsofr:v:116:y:2018:i:c:p:176-201
    DOI: 10.1016/j.chaos.2018.08.014
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    References listed on IDEAS

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    1. Fan, Jinjun & Xue, Shan & Chen, Ge, 2018. "On discontinuous dynamics of a periodically forced double-belt friction oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 280-302.
    2. Fu, Xilin & Zhang, Yanyan, 2015. "Stick motions and grazing flows in an inclined impact oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 218-230.
    3. Xiaohui Sun & Xilin Fu, 2014. "Synchronization of Two Different Dynamical Systems under Sinusoidal Constraint," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-9, April.
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    Cited by:

    1. Cao, Jing & Fan, Jinjun, 2021. "Discontinuous dynamical behaviors in a 2-DOF friction collision system with asymmetric damping," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).

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    1. Fu, Xilin & Zhang, Yanyan, 2015. "Stick motions and grazing flows in an inclined impact oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 218-230.
    2. Fan, Jinjun & Xue, Shan & Chen, Ge, 2018. "On discontinuous dynamics of a periodically forced double-belt friction oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 280-302.
    3. Cao, Jing & Fan, Jinjun, 2021. "Discontinuous dynamical behaviors in a 2-DOF friction collision system with asymmetric damping," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).

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