Stress concentrations at holes in thin rotating discs

Abstract

The problem of a circular disc with a central hole and a symmetrical array of non-central holes subjected to rotation and to radial tension at its outer circumferential periphery is analysed using the boundary integral equation method. A relatively wide range of geometric configurations is considered. It is found that for this range treated, the peak stresses, which occur at the edge of the non-central holes, decrease in a linear manner with the number of holes, given the disc radius ratio and the radial position of these holes. These stresses are thus presented in terms of first order algebraic equations with the coefficients obtained using the least-squares-fit procedure.