考虑剪切变形的双曲扁壳理论基本解的计算

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基金项目: 国家自然科学基金资助课题

Calculation of the Fundamental Solution for the Theory of Shallow Shells Considering Shear Deformation

摘要: 在文[1]的基础上,本文详细地给出了考虑剪切变形的双曲面扁壳基本解的数值计算所需要的公式和算法,这是文[1]的结果得以推广应用的基础.我们还编制了相应的计算程序.作为算例,分别给出了具有正、负和零高斯曲率的双曲面扁壳受法向集中载荷下的位移和内力的数值结果.
- 基本解 /
- 考虑剪切变形扁壳 /
- 数值计算
Abstract: In this paper,some formulas are derived for the numerical computation of the fundamental solution obtained in ref.[1] and relevant computer methods are also discussed in detail.As an application of the fundamental solution,problems of a concentrated normal force acting on infinite shallow shells having positive,zero and negative Gaussian curvatures are calculated according to the numerical methods given in the paper.
- fundamental solution /
- shallow shells involving shear deformation /
- numerical computation

[1]	黄茂光,考虑剪切变形的任意二次型双曲面扁壳的基本解.中国科学(A),(5)(1991),501-510.
[2]	Abramowitz,M.and I.A.Stegun(Eds.),Handbook of Mathernatical Functions,Fifth Printing,New York(1966).
[3]	Cody,W.J.and H.C.Thacher,Rational Chebyshev approximations for the exponential integral E₁(x),Math.Comp.,22(1968),641-649.
[4]	Cody,W.J.and H.C.Thacher,Chebyshev approximation for the exponential integral Ei(x),Math.Comp.,23(1969),289-303.
[5]	Matsui,T.,O.Matsuoka,The fundamental solution in the theory of shallow shells,Int.J.Solids Structures,14(1978),971-986.
[6]	吕品,板壳若干问题的边界元及复变函数分析方法,中国科学技术大学博士学位论文(1989).

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