A rotating cylinder in a bored dissimilar elastic solid

Abstract

A simple and exact closed form solution for a rotating cylinder is presented. The cylinder is inserted in a bored dissimilar elastic solid. The exact form of the absolute acceleration and the Coulomb's rule for the friction on the circular interface are employed. After discussing the resonant frequency/velocity, numerical computations are carried out for all stress components in the cylinder. It is found that the hoop stress on the cylinder edge changes its nature from extensive to compressive as the rigidity of the surrounding solid increases. The torque and power to keep the cylinder rotation is also discussed, briefly.