Unfolding the conical zones of the dissipation-induced subcritical flutter for the rotationally symmetrical gyroscopic systems

Kirillov, Oleg (2009) Unfolding the conical zones of the dissipation-induced subcritical flutter for the rotationally symmetrical gyroscopic systems. Physics Letters A, 373 (10). pp. 940-945. ISSN 0375-9601

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Official URL: http://dx.doi.org/10.1016/j.physleta.2009.01.013

Abstract

Flutter of an elastic body of revolution spinning about its axis of symmetry is prohibited in the subcritical spinning speed range by the Krein theorem for the Hamiltonian perturbations. Indefinite damping creates conical domains of the subcritical flutter (subcritical parametric resonance) bifurcating into the pockets of two Whitney's umbrellas when non-conservative positional forces are additionally taken into account. This explains why in contrast to the common intuition, but in agreement with experience, symmetry-breaking stiffness variation can promote subcritical friction-induced oscillations of the rotor rather than inhibit them.

Item Type: Article
Uncontrolled Keywords: acoustics of friction, rotating continua, Gyroscopic system, indefinite damping
Subjects: F300 Physics
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Oleg Kirillov
Date Deposited: 23 Jan 2017 12:12
Last Modified: 23 Jan 2017 12:12
URI: http://nrl.northumbria.ac.uk/id/eprint/29287

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