The Stress of a Coil Spring which has a Regular Polygonal Section

Abstract

If the Schwarz's transformation is taken for the mapping function of the stress formula of the coil spring which has an arbitrary section, we can get the stress of the coil spring which has a regular polygonal section. Moreover, expanding the mapping function into infinite series, and picking up the beginning finite terms of series, we can get the mapping function of a regular polygon which has rounded corner. In this paper, taking the polynomial as a mapping function of corner removed regular polygon, we shall analyse the stress of coil spring which has a regular polygonal section.