Stability Boundaries of a Conservative Gyroscopic System

[+] Author and Article Information
G. M. L. Gladwell

Department of Civil Engineering, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada

M. M. Khonsari, Y. M. Ram

Department of Mechanical Engineering, Louisiana State University, Baton Rouge, LA 70806

J. Appl. Mech 70(4), 561-567 (Aug 25, 2003) (7 pages) doi:10.1115/1.1574062 History: Received October 07, 2001; Revised April 29, 2002; Online August 25, 2003
Copyright © 2003 by ASME
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Grahic Jump Location
A particle in a rotating frame
Grahic Jump Location
A continuous gyroscopic system: (a) a rotating shaft, and (b) a free-body diagram for a typical element
Grahic Jump Location
Eigenvalue change due to a small perturbation in ω near the stability boundaries: (a) losing stability, and (b) gaining stability
Grahic Jump Location
Root loci for two nonconjugate eigenvalues



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