Author(s)

Eisuke Kita, Koji Fukui and Norio Kamiya

Abstract

In the stress analysis of a shaft with a variable diameter, elastic stress field is governed by the quasi-harmonic differential equation. In this paper, bound- ary integral equation is derived by introducing the fundamental solutions including the elliptic integrals. The integral equation is discretized by the boundary elements to derive the system of equations. The developed BEM solver is applied to the shape optimization of the cross-sectional profile of the shaft. The design object is to reduce the maximum stress on the boundary below the yield stress of the material. The constraint condition is to main- tain the even cross-sectional area during the iterative process. A stepped shaft is considered as a numerical example in order to confirm it

Keywords