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Applied Mathematics and Mechanics

, Volume 13, Issue 6, pp 515–521 | Cite as

A general solution of axisymmetric problem of arbitrary thick spherical shell and solid sphere

  • Bu Xiao-ming
  • Yan Zong-da
Article
  • 25 Downloads

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 series for thick spherical shell and solid sphere are given by using the method of weighted residuals.

Key words

thick spherical shell solid sphere axisymmetric problems method of weighted residuals 

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References

  1. [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.CrossRefGoogle Scholar
  2. [2]
    Yan Zong-da,Fourier Series Solutions in Structural Mechanics, Tianjin University Publishing House (1989). (in Chinese)Google Scholar
  3. [3]
    Finlayson, B. A.,The Method of Weighted Residuals and Variational Principles, Academic Press, New York and London (1972).Google Scholar
  4. [4]
    Courant, R. and D. Hilbert,Methods of Mathematical Physics, Vol. 1, 1st English Ed., Interscience Publishers, New York (1953), 82–87, 325–327.Google Scholar

Copyright information

© Shanghai University of Technology (SUT) 1992

Authors and Affiliations

  • Bu Xiao-ming
    • 1
  • Yan Zong-da
    • 1
  1. 1.Dept. of MechamicsTianjin UniversityTianjin

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