The First-order Approximation of Non-Kirchhoff-Love Theory for Elastic Circular Plate with Fixed Boundar under Uniform Surface Loading(Ⅲ)── Numerical Results

Chien Weizhang; Sheng Shangzhong

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Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(5): 385-393

Chien Weizhang, Sheng Shangzhong. The First-order Approximation of Non-Kirchhoff-Love Theory for Elastic Circular Plate with Fixed Boundar under Uniform Surface Loading(Ⅲ)── Numerical Results[J]. Applied Mathematics and Mechanics, 1997, 18(5): 385-393.

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The First-order Approximation of Non-Kirchhoff-Love Theory for Elastic Circular Plate with Fixed Boundar under Uniform Surface Loading(Ⅲ)── Numerical Results

Shanghai University; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China

Received Date: 1996-10-05
Publish Date: 1997-05-15

Abstract

Abstract

Based upon the differential equations and their related boundary conditions givenin the previous papers^[1,2],using a global interpolation method,this paper presents anumerical solution to the axisymmetric bending problem of non-Kirchhoff-Love theoryfor circular plate with fixed boundary under uniform surface loading.All the numericalresults obtained in this paper are compared with that of Kirchhoff-Love classicaltheory^[3] and E.Reissner's modified theory^[4]
- elasticity,
- circular plate,
- non-Kirchhoff-Love theory

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References(6)

References

[1]	W.Z.Chien,Nou-Kirchhoff-Love theory of elastic circular plate fixed in the boundar and loaded on one of the surfaces.Proc.of the Inter.Conf.on Computational Methods in Structural and Geotechnfcal Engineering.Vol.Ⅰ:1-6,Hong Kong(1995).
[2]	钱伟长,弹性圆板在一侧受均载而四周固定条件下不用Kirchhoff-Love假设的一级近似理论(1),应用数学和力学,18(2)(1997),95-104.
[3]	钱伟长,叶开沅《弹性力学》,科学出版社(1956).
[4]	E.Reissner,The effect of transverse shear deformation on the bending of elastic plates,J.Appl.Mech.,12,(2)(1945),69-77.
[5]	曹志远等著,《厚板动力学理论及其应用》,科学出版社(1983).
[6]	A.E.McPherson,W.Ramberg and S.Levy,Normal pressure tests of circular plates with clamped edges,Rep,744(1942).