厚球壳与实心球轴对称问题的一般解

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

摘要: 本文试图从更一般的三维问题基本方程出发研究任意厚球壳与实心球的轴对称问题.对于受任意轴对称载荷的厚球壳和实心球体,文中运用加权残值法给出了以Legendre级数表示的一般解.
- 厚球壳 /
- 实心球 /
- 轴对称问题 /
- 加权残值法
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

[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.

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