A Free Rectangular Plate on the Two-Parameter Elastic Foundation

Sheng Yao; Huang Yi

Volume 8 Issue 4

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Article Navigation > Applied Mathematics and Mechanics > 1987 > 8(4): 317-329

Sheng Yao, Huang Yi. A Free Rectangular Plate on the Two-Parameter Elastic Foundation[J]. Applied Mathematics and Mechanics, 1987, 8(4): 317-329.

Citation:

Sheng Yao, Huang Yi. A Free Rectangular Plate on the Two-Parameter Elastic Foundation[J]. Applied Mathematics and Mechanics, 1987, 8(4): 317-329.

Citation:

Sheng Yao, Huang Yi. A Free Rectangular Plate on the Two-Parameter Elastic Foundation[J]. Applied Mathematics and Mechanics, 1987, 8(4): 317-329.

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A Free Rectangular Plate on the Two-Parameter Elastic Foundation

Sheng Yao,
Huang Yi

Xi'an Institute of Metallurgy and Construction Engineering, Xi'an

Received Date: 1986-03-09
Publish Date: 1987-04-15

Abstract

Abstract

This paper provides a rigorous solution of a free rectangular plate on the V.Z. Vlazov two-parameter elastic foundation by the method of superposition^[1]. In this paper we derive basic solutions under the various boundary conditions. To superpose these basic solutions the most generally rigorous solution of a free rectangular plate on the two-parameter elastic foundation can be obtained. The solution strictly satisfies the differential equation of a plate on the two-parameter elastic model foundation, the boundary conditions of the free edges and the free corner conditions. Some numerical examples are presented The calculated results show that when the plane dimension of plate is given and the ratio between the laver depth and the plate thick is equal to 15, the two-parameter elastic model is near the Winkler's. It shows that the Winkler model can be applied to the thinner layer.

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References(4)

References

[1]	杨耀乾,《平板理论》,中国铁道出版社(1980).
[2]	张福范、黄晓梅,弹性地基上的自由矩形板,应用数学和力学,5,3(1984),345-354.
[3]	王克林、黄义,弹性地基上四边自由矩形板,计算结构力学及其应用,2(1985).
[4]	Selvadurai,A,P,S,,Elastic Analysis of Soil-Foundation Interaction,Elsevier Scientific Publishing Co,(1979).

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