任意形状凸域保角映射成半平面域的方法

应用科学学报 ›› 1996, Vol. 14 ›› Issue (2): 215-218.

任意形状凸域保角映射成半平面域的方法

许立忠

东北重型机械学院

收稿日期:1994-03-25 修回日期:1995-06-15 出版日期:1996-06-30 发布日期:1996-06-30
作者简介:许立忠:副教授,东北重型机械学院机械工程二系,齐齐哈尔 161042

A METHOD TRANSFORMING THE SEMI-INFINITE DOMAIN OF ARBITRARY SHAPE CURVE BOUNDARY INTO THE ONE OF STRAIGHT BOUNDARY LINE

XU LIZHONG

Northeast Heavy Machinery Institute

Received:1994-03-25 Revised:1995-06-15 Online:1996-06-30 Published:1996-06-30

摘要/Abstract

摘要： 给出了任意形状凸域保角映射成半平面域的解析方法,通过算例证实了本方法的精确性和简便性,为工程中常用齿形零件应力和位移的精确求解奠定了基础.

关键词: 任意形状凸域, 半平面域, 保角映射

Abstract: In this paper, an analytical method conformally transforming the semi-infinite domain of an arbitrary shape curve boundary into the one of a straight boundary line is given. By means of the calculative examples, it is proved that by making use of this method, the mapping accuracy is high and the calculation is simple. Thus the paper lays a foundation for the calculation of the stress and deflection of the tooth-shape machine elements which are commonly used in engineering.

Key words: the semi-infinite domain of atraight boundary lone, the semi-infinite domain of arbitrary shape curve boundary, conformal mapping

许立忠. 任意形状凸域保角映射成半平面域的方法[J]. 应用科学学报, 1996, 14(2): 215-218.

XU LIZHONG. A METHOD TRANSFORMING THE SEMI-INFINITE DOMAIN OF ARBITRARY SHAPE CURVE BOUNDARY INTO THE ONE OF STRAIGHT BOUNDARY LINE[J]. Journal of Applied Sciences, 1996, 14(2): 215-218.