A General Analytical Solution for Elastic Vibration of Rectangular Thin Plates

Huang Yan

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Huang Yan. A General Analytical Solution for Elastic Vibration of Rectangular Thin Plates[J]. Applied Mathematics and Mechanics, 1988, 9(11): 993-1000.

Citation:

Huang Yan. A General Analytical Solution for Elastic Vibration of Rectangular Thin Plates[J]. Applied Mathematics and Mechanics, 1988, 9(11): 993-1000.

Citation:

Huang Yan. A General Analytical Solution for Elastic Vibration of Rectangular Thin Plates[J]. Applied Mathematics and Mechanics, 1988, 9(11): 993-1000.

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A General Analytical Solution for Elastic Vibration of Rectangular Thin Plates

Huang Yan

National University of Defensc Technology, Changsha

Received Date: 1987-07-13
Publish Date: 1988-11-15

Abstract

Abstract

A general solution of differential equation for lateral displacement lunction of rectangular elastic thin plates in free vibration ix established in this paper.It can be used to solve the vibration problem of rectangular plate with arbitrary boundaries.As an example, the frequency and its vibration mode of a rectangular plate with jour edges free have been solved.

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References(2)

References

[1]	Gorman,D.J.,Free vibration analysis of the completely free rectangular plate by the method of superposition,Journal of Sound and Vibration,57(1978).
[2]	Timoshenko,S.,Vibration Problems in Engineering,P.Van Nostrand Company,New York(1955).