A Modal Analysis for the Response of Linear Gyroscopic Systems

[+] Author and Article Information
L. Meirovitch

Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, Va.

J. Appl. Mech 42(2), 446-450 (Jun 01, 1975) (5 pages) doi:10.1115/1.3423597 History: Received June 01, 1974; Revised October 01, 1974; Online July 12, 2010


This paper presents a new modal analysis that permits the derivation of closed-form response of linear gyroscopic systems in a manner similar to that in which the classical modal analysis permits the derivation of the response of natural elastic systems. The method has important implications in the dynamics and control of rotating systems. As an illustration, the response of a spinning rigid body containing flexible parts is derived. This represents the first time that the response of a linear gyroscopic system to external excitation is derived in closed form.

Copyright © 1975 by ASME
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