圆柱壳开孔的应力集中──非圆孔问题的一般解

The General Solution for the Stress Problem of Circular Cylindrical Shells with an Arbitrary Cutout

摘要: 本文从Donnell型圆柱壳的基本方程出发,利用复变函数方法和保角映射技术,对圆柱壳开非圆形孔的问题进行了研究.首先给出了逼近具有非圆形孔的圆柱壳开孔问题一般解的完备函数序列,构造出了问题的一般解;其次利用有关圆柱壳开小孔的假设概念,给出了圆柱壳开非圆孔时边界条件的一般表达式.进而利用正交函数展开的方法,将待解的问题归结为一组无穷代数方程组的求解问题,并进行直接求解.在本文最后,对圆柱壳开圆孔.椭圆孔附近的应力集中问题进行了数值计算,给出了分析结果.
- 圆柱壳 /
- 柱壳开非圆孔 /
- 复变函数方法 /
- 保角映射技术
Abstract: In this paper a complex variable analytic method for solving stress concentrations in the circular cylindrical shell is proposed. The problem to be solved can be summarized into the solution of an infinite algebraic equation series. The solution canbe normal and effective by means of this method. Nunerical results for stress concentrations in the shell with a circular, elliplic cutout are graphically presented.
- circular cylindrical shell /
- non-circular cutout /
- Stress concentration /
- complex variable method and conformal mapping technique

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