Stability of Transverse Waves in a Spinning Membrane Disk

[+] Author and Article Information
P. Z. Bulkeley

Department of Mechanical Engineering, Stanford University, Stanford, Calif.

J. Appl. Mech 40(1), 133-136 (Mar 01, 1973) (4 pages) doi:10.1115/1.3422911 History: Received July 06, 1971; Revised December 07, 1971; Online July 12, 2010


The stability of three known exact solutions to the nonlinear equations governing free transverse motions of spinning membrane disks is investigated for a particular choice of perturbations. A wave which travels circumferentially in the disk in the direction opposite to its rotation is shown to be infinitesimally unstable. A wave traveling in the direction of disk rotation and a nonlinear vibration are not shown to be unstable.

Copyright © 1973 by ASME
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