Dynamic Stress Analysis of a Solid Rotating Disc

Abstract

This paper presents an analysis of the dynamic stresses in a solid rotating disc subjected to an arbitrarily varying angular speed. The Laplce transforms are used to find a solution. The inversions are performed by using Cauchy's integral and convolution theorems. The following problem is solved as a numerical example; the rotation of the solid disc increases with a constant acceleration untill it reaches 10, 000 rpm, thereafter keeping that speed. Expressing Tc the time in which the disc attains 10, 000 rpm, the dynamic stresses are computed for various values of Tc. Comparing the results with the quasi-static stresses, the maximum ratio of the dynamic and quasi-static stresses at the center of the disc is 1.03 for Tc=1.0×10-3 s, 1.27 for Tc=1.0×10<-4> s and 2.01 for Tc=1.0×10<-5> s.