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Asymptotic numerical method for multi-degree-of-freedom nonlinear dynamic systems

Author

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  • Mei, Shu-Li
  • Du, Cheng-Jin
  • Zhang, Sen-Wen

Abstract

Homotopy perturbation method (HPM) proposed by Ji-Huan He is very effective and convenient for single-degree-of-freedom systems. In this paper a coupling technique of He’s method and precise integration method (PIM) is suggested to solve multi-degree-of-freedom nonlinear dynamic systems. The new technique keeps the merits of the two methods. Some examples are given to illustrate its effectiveness and convenience. Furthermore the obtained solution is of high accuracy.

Suggested Citation

  • Mei, Shu-Li & Du, Cheng-Jin & Zhang, Sen-Wen, 2008. "Asymptotic numerical method for multi-degree-of-freedom nonlinear dynamic systems," Chaos, Solitons & Fractals, Elsevier, vol. 35(3), pages 536-542.
    • Handle: RePEc:eee:chsofr:v:35:y:2008:i:3:p:536-542
    DOI: 10.1016/j.chaos.2006.05.067
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    References listed on IDEAS

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    1. He, Ji-Huan, 2005. "Limit cycle and bifurcation of nonlinear problems," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 827-833.
    2. He, Ji-Huan, 2005. "Application of homotopy perturbation method to nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 695-700.
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    Cited by:

    1. Yusufoğlu (Agadjanov), Elcin, 2009. "Improved homotopy perturbation method for solving Fredholm type integro-differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 28-37.

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