Normal and Quasi-Normal Modes in Damped Linear Dynamic Systems
- 1 June 1966
- journal article
- Published by ASME International in Journal of Applied Mechanics
- Vol. 33 (2) , 413-416
- https://doi.org/10.1115/1.3625058
Abstract
A generalization of the concept of classical normal modes in damped linear systems is presented. It is then shown that a necessary and sufficient condition that such quasi-normal modes exist is that certain matrices associated with the system commute. Necessary and sufficient conditions of the same type are also obtained for the classical normal modes, but under more restrictive conditions.Keywords
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