The First Order Approximation of Non-Kirchhoff-Love Theory for Elastic Circular Plate with Fixed Boundary under Uniform Surface Loading(Ⅰ)

Chien Weizang

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Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(1): 1-17

Chien Weizang. The First Order Approximation of Non-Kirchhoff-Love Theory for Elastic Circular Plate with Fixed Boundary under Uniform Surface Loading(Ⅰ)[J]. Applied Mathematics and Mechanics, 1997, 18(1): 1-17.

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The First Order Approximation of Non-Kirchhoff-Love Theory for Elastic Circular Plate with Fixed Boundary under Uniform Surface Loading(Ⅰ)

Chien Weizang

Shanghai University; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 20072, P. R. China

Received Date: 1995-11-30
Publish Date: 1997-01-15

Abstract

Abstract

Based on the approximation theory adopting non-Kirchhoff-Love assumption forthree dimensional elaslic plates with arbitrary shapes, the author derives afunctional of generalized variation for three dimensional elastic circular plates, therebyobtains a set of differtial equations and the relate boundary conditions to establish afirst order approximation theory for elastic circular plate with fixed boundary andunder uniform loading on one of its surface. The analytical solution of this problem will present in another paper.
- elastic circular plate,
- Kirchhoff-Love assumption,
- generalized variational principle

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References(4)

References

[1]	钱伟长,不用Kirchhof f-Love假定的三维弹性板近似理论及其边界条性,应用数学和力学,18(3)(1995), 189-206.
[2]	钱伟长,不用Kirchhoff-Love假定的三维弹性板二级近似理论及其边界条件,应用数学和力学,16(5)(1995), 38-394.
[3]	Chien Weizang, Further study of generalized variational principles in elasticty, Advance of Applied Mathematics and Mechamcs in China, Edited by Chien, W. Z and Fu. Z. Z.,1 (l987), 1-10.
[4]	Chien Weizang, Incompatible elements and generalized variational princples, Advances in Applted Mechanics, U. S. A., 14 (1984), 93-153.