Modal Parameter Analysis of Gyroelastic Continua

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

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

J. Appl. Mech 53(4), 918-924 (Dec 01, 1986) (7 pages) doi:10.1115/1.3171881 History: Received August 20, 1984; Revised October 25, 1985; Online July 21, 2009


This paper builds on the theory of gyroelastic dynamics presented in a recent paper by the authors. An elastic continuum with a continuous distribution of stored angular momentum ( called gyricity) is considered. We introduce the modal parameters (coefficients) thereof, including integrals of the mode shapes, and show they must satisfy a number of useful identities. In addition to the coefficients (p α and h α ) associated with momentum and angular momentum which also arise in the dynamics of a purely elastic body, there is a third coefficient (g α ) wholly attributable to the gyricity distribution. The modal parameter analysis presented here is an extension of that for purely elastic continua. The analysis concludes with a simple demonstration of the theoretical results using a spatially discretized model of a cantilevered rod.

Copyright © 1986 by ASME
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