Stability of Transverse Waves in a Spinning Membrane Disk
- 1 March 1973
- journal article
- Published by ASME International in Journal of Applied Mechanics
- Vol. 40 (1) , 133-136
- https://doi.org/10.1115/1.3422911
Abstract
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.Keywords
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