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

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

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

Kurzbeschreibung (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.

Typ des Eintrags: Artikel
Erschienen: 2009
Autor(en): Kirillov, O. N.
Titel: Unfolding the conical zones of the dissipation-induced subcritical flutter for the rotationally symmetrical gyroscopic systems
Sprache: Englisch
Kurzbeschreibung (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.

Titel der Zeitschrift, Zeitung oder Schriftenreihe: Physics Letters A
Band: 373(10
Verlag: Elsevier
Fachbereich(e)/-gebiet(e): Fachbereich Maschinenbau
Fachbereich Maschinenbau > Dynamik und Schwingungen, Dynamics and Vibrations
Hinterlegungsdatum: 12 Mär 2009 11:56
Offizielle URL: http://dx.doi.org/10.1016/j.physleta.2009.01.013
Zusätzliche Informationen:

Department of Mechanical Engineering, Dynamics group

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