Bending Problems of Rectangular Reissner Plate with Free Edges Laid on Tensionless Winkler Foundations

Bu Xiao-ming; Yan Zong-da

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1991 > 12(6): 567-578

Bu Xiao-ming, Yan Zong-da. Bending Problems of Rectangular Reissner Plate with Free Edges Laid on Tensionless Winkler Foundations[J]. Applied Mathematics and Mechanics, 1991, 12(6): 567-578.

Citation:

Bu Xiao-ming, Yan Zong-da. Bending Problems of Rectangular Reissner Plate with Free Edges Laid on Tensionless Winkler Foundations[J]. Applied Mathematics and Mechanics, 1991, 12(6): 567-578.

Citation:

Bu Xiao-ming, Yan Zong-da. Bending Problems of Rectangular Reissner Plate with Free Edges Laid on Tensionless Winkler Foundations[J]. Applied Mathematics and Mechanics, 1991, 12(6): 567-578.

PDF( 638 KB)

Bending Problems of Rectangular Reissner Plate with Free Edges Laid on Tensionless Winkler Foundations

Bu Xiao-ming¹,
Yan Zong-da²

1.
Qinghua University, Beijing;
2.
Tianjin University, Tianjin

Received Date: 1990-04-16
Publish Date: 1991-06-15

Abstract

Abstract

In this paper, an analytical method for solving the bending problems of rectangular reissner plate with free edges under arbitrary loads laid on tensionless Winkier foundations is proposed. By assuming proper form of Fourier series with supplementary terms, which meet derivable conditions, for deflection and shear force functions, the basic differential equations with given boundary conditions can be transformed into a set of simple infinite algebraic equations. For common Winkier foundations, this set of equations can be solved directly and for tensionless Winkler foundations, it is a set of weak nonlinear algebraic equations, the solution of which can be obtained easily by using iterative procedures.
- tensionless Winkler foundation,
- Reissner plates,
- bending problems

FullText(HTML)

References(7)

References

[1]	托尔斯托夫,Г.П.《福里哀级数》,龙季和译.商务印书馆(1955).
[2]	严宗达,《结构力学中的富里叶级数解法》,天津大学出版社(1989).
[3]	卜小明、严宗达,无拉力Winkler地基上自由边矩形薄板的弯曲,应用数学和力学,10,5(1989), 419-426.
[4]	Yan Zong-da and Bu Xiao-ming,Solution of axisymmetric thick spherical shell by the method of weighted residuals,Proc.11th Australasian conference on the Mechanics of Structures and Materials,Univ.of Auckland,New Zealand(1988).
[5]	Yan Zong-da and Fu Yi-bin,Solution of axisymmeric thick spherical shell by finite spherical layer method,Computers&Structures,30,4(1988).
[6]	Selvadurai,A.P.S.,Elastic Analysis of Soil-Foundation Interaction,Elsevier,New York(1979).
[7]	Darevskii,V.M.,Bending of a rectangular plate with free edges that lies on an elastic foundation,Mechanics of Solid,12,1(1977).