A General Solution of Axisymmetric Problem of Arbitrary Thick Spherical Shell and Solid Sphere

Bu Xiao-ming; Yan Zong-da

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Bu Xiao-ming, Yan Zong-da. A General Solution of Axisymmetric Problem of Arbitrary Thick Spherical Shell and Solid Sphere[J]. Applied Mathematics and Mechanics, 1992, 13(6): 497-503.

Citation:

Bu Xiao-ming, Yan Zong-da. A General Solution of Axisymmetric Problem of Arbitrary Thick Spherical Shell and Solid Sphere[J]. Applied Mathematics and Mechanics, 1992, 13(6): 497-503.

Citation:

Bu Xiao-ming, Yan Zong-da. A General Solution of Axisymmetric Problem of Arbitrary Thick Spherical Shell and Solid Sphere[J]. Applied Mathematics and Mechanics, 1992, 13(6): 497-503.

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A General Solution of Axisymmetric Problem of Arbitrary Thick Spherical Shell and Solid Sphere

Dept.of Mechanics, Tianjin University, Tianjin

Received Date: 1991-04-29
Publish Date: 1992-06-15

Abstract

Abstract

In this paper,the axisymmetric problems of arbitrary thick spherical shell and solid sphere are studied directly from equilibrium equations of three-dimensional problem,and the general solutions in forms of Legendre serifs for thick spherical shell and solid sphere are given by using the method of weighted residuals.
- thick spherical shell,
- solid sphere,
- axisymmetric problems,
- method of weighted residuals

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References(4)

References

[1]	Yan Zong-da and Fu Yi-bin,Solution of axisymmetric thick spherical shell by finite spherical layer method,Computer & Structure,30,4(1988),923-927.
[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]	Finlayson,B.A.,The Method of Weighted Residuals and Variational Principles,Academic Press,New York and London(1972).
[4]	Courant,R.and D.Hilbert,Methods of Mathematical Physics,Vol.1,1st English Ed.,Interscience Publishers,New York(1953),82-87,325-327.