任意形状凸域保角映射成半平面域的方法

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

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．

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.