The simple shape and common occurrence of disks as machine elements belies a complexity of behavior that can be an important factor in the improvement of modern machine performance. The purpose of this paper is to give a thorough account of the understanding gained from recent research investigations into the dynamics of disks. Friction-induced vibration and parametric resonance phenomena are areas of research activity that have received considerable attention. The approach taken here is to build up to the discussion of complex topics such as these by first establishing the basic principles of critical speed instability, forward and backward traveling waves, and destabilization by a transverse elastic system.
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John E. Mottershead (1998) studied this question.