Bending of Rectangular Thin Plates with Free Edges Laid on Tensionless Winkier Foundation

Bu Xiao-ming; Yan Zong-da

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Bu Xiao-ming, Yan Zong-da. Bending of Rectangular Thin Plates with Free Edges Laid on Tensionless Winkier Foundation[J]. Applied Mathematics and Mechanics, 1989, 10(5): 419-436.

Citation:

Bu Xiao-ming, Yan Zong-da. Bending of Rectangular Thin Plates with Free Edges Laid on Tensionless Winkier Foundation[J]. Applied Mathematics and Mechanics, 1989, 10(5): 419-436.

Citation:

Bu Xiao-ming, Yan Zong-da. Bending of Rectangular Thin Plates with Free Edges Laid on Tensionless Winkier Foundation[J]. Applied Mathematics and Mechanics, 1989, 10(5): 419-436.

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Bending of Rectangular Thin Plates with Free Edges Laid on Tensionless Winkier Foundation

Tianjin University, Tianjin

Received Date: 1988-02-12
Publish Date: 1989-05-15

Abstract

Abstract

In this paper,the bending problem of rectangular thin plates with free edges laid on tensionless Winkler foundation has been solved by employing Fourier series with supplementary terms.By assuming proper form of series for deflection,the basic differential equation with given boundary conditions can be transformed into a set of infinite algebraic equations.Because the boundary of contact region cannot be determined in advance,these equations are weak nonlinear ones.They can be solved by using iterative procedures.

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References(6)

References

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