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

Qian Weizhang

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Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(2): 95-103

Qian Weizhang. The First-Order Approximation of Non-Kirchhoff-Love Theory for Elastic Circular Plate with Fixed Boundary under Uniform Surface Loading(Ⅱ)[J]. Applied Mathematics and Mechanics, 1997, 18(2): 95-103.

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

Qian Weizhang

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

Received Date: 1995-12-05
Publish Date: 1997-02-15

Abstract

Abstract

Based upon the differntial equations and their related boundary conditions givenin the prerious papert[1], this poper finds the analytical solution of non-Kirchhoff-Lovetheory for elastic circular plate with fixed boundary conditions under uniform surfaceloading. However, for the sake of Saving conrputational work. the first orderapproximation theory can be further simplified in more rational bases.
- elastieity,
- circular plate,
- Kirchhoff-Love assumptions,
- generalized variational principle

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References(4)

References

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[2]	G,Kirchhoff,Über das Gleichgewicht und die Bewegungeiner elastischen Scheibe,Journal filr die refine and Angezvandte Math,(CrÜle),40 (1850),51-88.
[3]	A,E,N,Love,A Treatise on the Mathematical Theory of Elasticity,Cambridge (1937).
[4]	A.E,McPherson,W,Ramberg and S,Levy,Normal Pressure Tests on Gircutar Plates with Clamped Edges,NACA Report,(744) (1943).