柿形孔口应力分析

重庆交通大学学报（自然科学版） ›› 1982, Vol. 1 ›› Issue (1): 86-97.

柿形孔口应力分析

许生超

出版日期:1982-04-30 发布日期:2016-09-21

Stress Analysis of Persimmon Hole

Xu Shengchao

Online:1982-04-30 Published:2016-09-21

摘要/Abstract

摘要： 本文用图解法求出柿形孔口保角映象函数z=cω（ξ）[1.115ζ^1-0.1057ζ^3-0.011ζ^7+0.0023ζ^11+……]将柿形孔口以外平面转换到单位圆内,再由H.И.穆斯黑里什维利理论,给出了平板在单向和双向受力的解答及薄板在的纯柱面弯曲、纯弯和扭转的解答。

关键词: 单位圆, 平面转换, 纯弯, 复常数, 应力集中问题, 平面问题, 弯曲问题, 单向拉伸, 应力分量, 泛函方程

Abstract: In this paper, we find a function of conformal mapping of persimmon hole with the scheme method: z=cω（ξ）[1.115ζ^1-0.1057ζ^3-0.011ζ^7+0.0023ζ^11+……], which transforms the plane on the outskirts of persimmon hole into the interior of unit circle, subsequently, according to the theory stated in [1] the solution of the unidirectional and the bidirectional stresses acted on the plane and the pure columnar bend, the pure bend and the torsion.

许生超. 柿形孔口应力分析[J]. 重庆交通大学学报（自然科学版）, 1982, 1(1): 86-97.

Xu Shengchao. Stress Analysis of Persimmon Hole[J]. Journal of Chongqing Jiaotong University(Natural Science), 1982, 1(1): 86-97.