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

Kirillov, O. N. (2009):
Unfolding the conical zones of the dissipation-induced subcritical flutter for the rotationally symmetrical gyroscopic systems.
373, In: Physics Letters A, (10), Elsevier, pp. 940-945, [Online-Edition: http://dx.doi.org/10.1016/j.physleta.2009.01.013],
[Article]

Item Type: Article
Erschienen: 2009
Creators: Kirillov, O. N.
Title: Unfolding the conical zones of the dissipation-induced subcritical flutter for the rotationally symmetrical gyroscopic systems
Language: English
Journal or Publication Title: Physics Letters A
Volume: 373
Number: 10
Publisher: Elsevier
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Dynamics and Vibrations
Date Deposited: 19 Sep 2012 14:20
Official URL: http://dx.doi.org/10.1016/j.physleta.2009.01.013
Identification Number: doi:10.1016/j.physleta.2009.01.013
Alternative keywords:
Alternative keywordsLanguage
Acoustics of friction, Rotating continua, Gyroscopic system, Indefinite damping, Flutter, Parametric resonance, Non-conservative positional forces, Dissipation-induced instabilities, Diabolical point, Exceptional pointUNSPECIFIED
Alternative Abstract:
Alternative abstract Language
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.English
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