The reduction of vibration in rotating or translating elastic systems (e.g., shafts, circular saws, belts, handsaws) is an important engineering problem. This paper presents the characteristics of rotating or translating elastic system vibration problems which are significant for the design of active controllers. The effect of the rotation or translation velocity on the controller design, and the effects of observation and control spillover are discussed. Simulation results for two example problems, a rotating cantilever shaft and an axially moving string, are used to illustrate the design and performance of active vibration controllers for rotating or translating elastic systems.

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