Stability Boundaries of a Conservative Gyroscopic System

Document Type

Article

Publication Date

7-1-2003

Abstract

Depending on the speed of rotation, a gyroscopic system may lose or gain stability. The paper characterizes the critical angular velocities at which a conservative gyroscopic system may change from a stable to an unstable state, and vice versa, in terms of the eigenvalues of a high-order matrix pencil. A numerical method for evaluation of all possible candidates for such critical velocities is developed.

Publication Source (Journal or Book title)

Journal of Applied Mechanics, Transactions ASME

First Page

561

Last Page

567

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