Stability and Vibration of a Rotating Circular Plate Subjected to Stationary In-Plane Edge Loads

[+] Author and Article Information
I. Y. Shen

Department of Mechanical Engineering, University of Washington, Seattle, WA 98195

Y. Song

Centurion International, Inc., Lincoln, NE 68501

J. Appl. Mech 63(1), 121-127 (Mar 01, 1996) (7 pages) doi:10.1115/1.2787186 History: Received May 18, 1994; Revised November 10, 1994; Online October 26, 2007


This paper predicts transverse vibration and stability of a rotating circular plate subjected to stationary, in-plane, concentrated edge loads. First of all, the equation of motion is discretized in a plate-based coordinate system resulting in a set of coupled Hill’s equations. Through use of the method of multiple scales, stability of the rotating plate is predicted in closed form in terms of the rotational speed and the in-plane edge loads. The asymmetric membrane stresses resulting from the stationary in-plane edge loads will transversely excite the rotating plates to single-mode parametric resonances as well as combination resonances at supercritical speed. In addition, introduction of plate damping will suppress the parametric instability when normalized edge loads are small. Moreover, the radial in-plane edge load dominates the rotational speed at which the instability occurs, and the tangential in-plane edge load dominates the width of the instability zones.

Copyright © 1996 by The American Society of Mechanical Engineers
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