Dynamic Stress Analysis of a Solid Rotating Disc

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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 T_c the time in which the disc attains 10,000 rpm, the dynamic stresses are computed for various values of T_c. 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 T_c=1.0×10^<-3> s, 1.27 for T_c=1.0×10<-4> s and 2.01 for T_c=1.0×10<-5> s.
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