Abstract
The analytical conditions for resonant and stationary waves in rotating disks are presented. These conditions are derived from a nonlinear plate theory pertaining to initial configurations and are applicable to rotating disks with initial waviness and/or undergoing large- amplitude displacements. The rotational speeds at which the resonant and stationary waves occur for a 3.5-inch diameter computer memory disk are computed. The resonant waves for linear and nonlinear, rotating disks are simulated numerically. It is found that some disk modes exhibit a hardening effect under which the rotational speeds for the resonant and stationary waves increase with increasing wave amplitude, while other modes experience a softening effect with those rotational speeds decreasing with increasing wave amplitude. The rotating-disk resonant spectrum presented in this paper is relevant to the disk drive industry for determining the range of operational rotation speed.
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