Nonlinear Vibration of the Blade with Variable Thickness

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 pr...

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Bibliographic Details
Published in:Mathematical problems in engineering 2020, Vol.2020 (2020), p.1-18
Main Authors: Jie, Xiaobo, Mao, Jiajia, Zhang, Wei
Format: Article
Language:English
Subjects:
Behavior
Boundary conditions
Computer simulation
Conical shells
Energy
Equations of motion
Galerkin method
Moisture absorption
Nonlinear differential equations
Nonlinear dynamics
Nonlinear equations
Ordinary differential equations
Shear deformation
Shells
Theory
Variable thickness
Vibration
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Summary: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.
ISSN:1024-123X
1563-5147
DOI:10.1155/2020/2873103