Nonlinear Vibrations of Orthotropic Shallow Shells of Revolution

Li Dong

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Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(4): 313-325

Li Dong. Nonlinear Vibrations of Orthotropic Shallow Shells of Revolution[J]. Applied Mathematics and Mechanics, 1992, 13(4): 313-325.

Citation:

Li Dong. Nonlinear Vibrations of Orthotropic Shallow Shells of Revolution[J]. Applied Mathematics and Mechanics, 1992, 13(4): 313-325.

Citation:

Li Dong. Nonlinear Vibrations of Orthotropic Shallow Shells of Revolution[J]. Applied Mathematics and Mechanics, 1992, 13(4): 313-325.

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Nonlinear Vibrations of Orthotropic Shallow Shells of Revolution

Li Dong

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University of Technology, Shanghai

Received Date: 1991-03-04
Publish Date: 1992-04-15

Abstract

Abstract

A set of nonlinearly coupled algebraic and differential eigenvalue equations of nonlinear axisymmetric free vibration of orthotropic shallow thin spherical and conical shells are formulated following an assumed time-mode approach suggested in this paper. Analytic solutions are presented and an asymptotic relation for the amplitude-frequency response of the shells is derived. The effects of geometrical and material parameters on vibrations of the shells are investigated.
- geometrical nonlinearity,
- vibration,
- orthotropy,
- shallow conical shell,
- shallow spherical shell

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References(16)

References

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