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Nonlinear dynamics for transverse motion of axially moving strings

Author

Listed:
  • Chen, Li-Qun
  • Zhang, Wei
  • Zu, Jean W.

Abstract

The latest progresses on nonlinear dynamics for transverse motion of axially moving strings are summarized. A uniform governing equation incorporated arbitrary forms of the constitutive law of the string material is presented. The research results obtained by Chinese researchers are highlighted in the respects of nonlinear parametric vibrations, global bifurcations, chaotic behaviors, numerical algorithms and energetics with conserved quantities. Some advances achieved by other groups are also mentioned. Finally promising topics for future researches in the field are proposed.

Suggested Citation

  • Chen, Li-Qun & Zhang, Wei & Zu, Jean W., 2009. "Nonlinear dynamics for transverse motion of axially moving strings," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 78-90.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:1:p:78-90
    DOI: 10.1016/j.chaos.2007.07.023
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    References listed on IDEAS

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    1. Chen, Li-Qun & Yang, Xiao-Dong, 2006. "Transverse nonlinear dynamics of axially accelerating viscoelastic beams based on 4-term Galerkin truncation," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 748-757.
    2. Zhang, Wei & Yao, Minghui, 2006. "Multi-pulse orbits and chaotic dynamics in motion of parametrically excited viscoelastic moving belt," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 42-66.
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    Cited by:

    1. Farokhi, Hamed & Ghayesh, Mergen H. & Amabili, Marco, 2013. "In-plane and out-of-plane nonlinear dynamics of an axially moving beam," Chaos, Solitons & Fractals, Elsevier, vol. 54(C), pages 101-121.

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