Nonlinear Vibration of the Blade with Variable Thickness

Xiaobo Jie, Wei Zhang and Jiajia Mao

Mathematical Problems in Engineering, 2020, vol. 2020, 1-18

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:2873103

DOI: 10.1155/2020/2873103

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