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Nonlinear Vibration of the Blade with Variable Thickness

Author

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  • Xiaobo Jie
  • Wei Zhang
  • Jiajia Mao

Abstract

In this paper, the nonlinear dynamic responses of the blade with variable thickness are investigated by simulating it as a rotating pretwisted cantilever conical shell with variable thickness. The governing equations of motion are derived based on the von Kármán nonlinear relationship, Hamilton’s principle, and the first-order shear deformation theory. Galerkin’s method is employed to transform the partial differential governing equations of motion to a set of nonlinear ordinary differential equations. Then, some important numerical results are presented in terms of significant input parameters.

Suggested Citation

  • Xiaobo Jie & Wei Zhang & Jiajia Mao, 2020. "Nonlinear Vibration of the Blade with Variable Thickness," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-18, April.
    • Handle: RePEc:hin:jnlmpe:2873103
    DOI: 10.1155/2020/2873103
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