The Bending, Stability and Vibrations of Rectangular Plates with Free Edges on Elastic Foundations

Cheng Xiang-sheng

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Cheng Xiang-sheng. The Bending, Stability and Vibrations of Rectangular Plates with Free Edges on Elastic Foundations[J]. Applied Mathematics and Mechanics, 1988, 9(6): 529-533.

Citation:

Cheng Xiang-sheng. The Bending, Stability and Vibrations of Rectangular Plates with Free Edges on Elastic Foundations[J]. Applied Mathematics and Mechanics, 1988, 9(6): 529-533.

Citation:

Cheng Xiang-sheng. The Bending, Stability and Vibrations of Rectangular Plates with Free Edges on Elastic Foundations[J]. Applied Mathematics and Mechanics, 1988, 9(6): 529-533.

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The Bending, Stability and Vibrations of Rectangular Plates with Free Edges on Elastic Foundations

Cheng Xiang-sheng

Tongji University, Shanghai

Received Date: 1987-02-26
Publish Date: 1988-06-15

Abstract

Abstract

This paper discusses the problems of the bending, stability and vibrations of the rectangular plates with free boundaries on elastic foundations. In the present paper we select a flexural function, which satisfies not only all the boundary conditions of free edges but also the conditions at free corner points, and consequently we obtain a better approximate solution. The energy method is used in this paper.

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References(4)

References

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[3]	张福范,《弹性薄板》(第二版),科学出版社(1984),237-249
[4]	Timoshenko,S.and S.Woinowsky-Krieger,Theory of Plates and Shells,second edition,McGraw-Hill Book Comp.Inc.(1959).