Dynamics of Gyroelastic Continua

[+] Author and Article Information
G. M. T. D’Eleuterio, P. C. Hughes

Institute for Aerospace Studies, University of Toronto, 4925 Dufferin Street, Downsview, Ontario, Canada, M3H 5T6

J. Appl. Mech 51(2), 415-422 (Jun 01, 1984) (8 pages) doi:10.1115/1.3167634 History: Received April 01, 1983; Revised September 01, 1983; Online July 21, 2009


This paper introduces the idea of distributed gyricity , in which each volume element of a continuum possesses an infinitesimal quantity of stored angular momentum. The continuum is also assumed to be linear-elastic. Using operator notation, a partial differential equation is derived that governs the small displacements of this gyroelastic continuum. Gyroelastic vibration modes are derived and used as basis functions in terms of which the general motion can be expressed. A discretized approximation is also developed using the method of Rayleigh-Ritz. The paper concludes with a numerical example of gyroelastic modes.

Copyright © 1984 by ASME
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