This dissertation examines the modeling of and techniques for reducing the transverse vibration of rotating circular disks.; We examine two phenomena that limit rotating circular disk design practices. The first concerns alternative tensioning techniques for increasing the critical speed of circular rotating disks. For the practical realization of this new tensioning technique called centripetal tensioning, some design considerations are investigated: the effect of asymmetry; and the relationship between the transverse stiffness of the saw and the transverse stiffness of the clamp. Calculations and experiments show the feasibility and practicality of centripetal tensioning.; The second concerns aeroelastic flutter, unstable coupling between the disk and the surrounding air. The presence of previously unrecognized boundary layers near the rim of the disk was suggested and a simple model for predicting flutter was developed. Although the model is simple, its predictions are similar to the experimental evidence in a number of ways and gives analytic predictions of aeroelastic flutter that are within an order of magnitude of the experimental values. The model also sets the stage for more refined modeling efforts.
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