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Nonlinear Vibration Response and Bifurcation of Circular Cylindrical Shells under Traveling Concentrated Harmonic Excitation

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Abstract

The nonlinear vibration of a cantilever cylindrical shell under a concentrated harmonic excitation moving in a concentric circular path is proposed. Nonlinearities due to large-amplitude shell motion are considered, with account taken of the effect of viscous structure damping. The system is discretized by Galerkin’s method. The method of averaging is developed to study the nonlinear traveling wave responses of the multi-degrees-of-freedom system. The bifurcation phenomenon of the model is investigated by means of the averaged system in detail. The results reveal the change process and nonlinear dynamic characteristics of the periodic solutions of averaged equations.

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Authors and Affiliations

  1. Institute of Applied Mechanics, Northeastern University, 110004, Shenyang, China

    Yanqing Wang, Xinghui Guo, Jian Li & Panglun Liu

  2. School of Resources & Civil Engineering, Northeastern University, 110004, Shenyang, China

    Yanqing Wang & Li Liang

  3. Department of Automotive Engineering, Jining Polytechnic, 272000, Jining, China

    Jing Liu

Authors
  1. Yanqing Wang
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  2. Li Liang
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  3. Xinghui Guo
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  4. Jian Li
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  5. Jing Liu
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  6. Panglun Liu
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Corresponding author

Correspondence to Xinghui Guo.

Additional information

Project supported by National Natural Science Foundation of China (No. 11172063).

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Wang, Y., Liang, L., Guo, X. et al. Nonlinear Vibration Response and Bifurcation of Circular Cylindrical Shells under Traveling Concentrated Harmonic Excitation. Acta Mech. Solida Sin. 26, 277–291 (2013). https://doi.org/10.1016/S0894-9166(13)60026-9

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  • DOI: https://doi.org/10.1016/S0894-9166(13)60026-9

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