Non-Linear Vibration of Circular Corrugated Piates

Wang Xin-zhi; Wang Lin-xiang; Hu Xiao-fang

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Article Navigation > Applied Mathematics and Mechanics > 1987 > 8(3): 237-245

Wang Xin-zhi, Wang Lin-xiang, Hu Xiao-fang. Non-Linear Vibration of Circular Corrugated Piates[J]. Applied Mathematics and Mechanics, 1987, 8(3): 237-245.

Citation:

Wang Xin-zhi, Wang Lin-xiang, Hu Xiao-fang. Non-Linear Vibration of Circular Corrugated Piates[J]. Applied Mathematics and Mechanics, 1987, 8(3): 237-245.

Citation:

Wang Xin-zhi, Wang Lin-xiang, Hu Xiao-fang. Non-Linear Vibration of Circular Corrugated Piates[J]. Applied Mathematics and Mechanics, 1987, 8(3): 237-245.

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Non-Linear Vibration of Circular Corrugated Piates

Gansu University of Technology, Lanzhou

Received Date: 1986-05-26
Publish Date: 1987-03-15

Abstract

Abstract

In this paper, first by using Hamilton principle, we derive the variational equation of circular corrugated plates. Taking the central maximum amplitude of circular corrugated plates as the perturbation parameter and adopting the perturbation variational method, in the first-order approximation, we obtain the natural frequency of linear vibration of circular corrugated plates and then the nonlinear natural frequency of the corrugated plates. By comparing with the linear results, the attempt of this paper is proved feasible.

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References(12)

References

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