厚壁圆柱壳开孔应力集中问题的复变函数解法

基金项目: 国家自然科学基金;国家教委博士点基金

On the Stress Concentration in Thick Cylindrical Shells with an Arbitrary Cutout

摘要: 本文基于考虑横向剪切变形影响的厚壳理论建立了求解圆柱壳开孔应力集中问题的复变函数方法,得到了此种问题的一般解和满足任意形开孔边界条件的表达式。该应力集中问题可以简化为求解无穷代数方程组的问题。用复变函数方法可以规范地求解应力集中问题。文中给出了圆柱壳开小圆孔和椭圆孔时应力集中系数的数值结果。
- 厚圆柱壳 /
- 开孔 /
- 应力集中问题 /
- 复变函数方法与保角映射
Abstract: In this paper,based on the theory of thick shells including effects of transverse shear deformations,a complex variable analytic method to solve stress concentrations in circular cylindrical shells with a small cutout is established.A general solution and expression satisfying the boundary conditions on the edge of arbitrary cutouts are obtained.The stress problem can be reduced to the solution of an infinite algebraic equation series,and can be normalized by means of this method.Numerical results for stress concentration factors of the shell with a small circular and elliptic cutout are presented.
- thick cylindrical shell /
- cutout /
- stress concentration /
- complex variable method and conformal mapping

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