This paper examines the propagation of time harmonic circumferential waves in a two dimensional (infinitely long) hollow cylinder with an inner shaft. The boundary condition at the interface (between the inner shaft and the outer cylinder) is assumed as free-sliding; that is, the interfacial shear stresses are assumed to be zero, and the normal stress and radial displacements are continuous. For comparison purposes, results of circumferential waves in a homogeneous solid cylinder and a hollow cylinder are also presented. It is found that: At low frequencies, circumferential waves in the layered cylinder behave very much like those in a homogeneous solid cylinder, whereas at high frequencies the dispersion curves of the layered cylinder are very different from those of both the solid and hollow cylinders.
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