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.

Issue Section:
Technical Papers
Keywords:
eigenvalues and eigenfunctions, polynomials, angular velocity, gyroscopes, rotation, mechanical stability
Topics:
Eigenvalues, Stability, Polynomials
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