Physics – Mathematical Physics
Scientific paper
2008-09-20
Physics Letters A, 2009, 373(10), 940-945
Physics
Mathematical Physics
11 pages, 3 figures, presented at ISMA 2008 - International Conference on Noise and Vibration Engineering. 15-17 September 200
Scientific paper
10.1016/j.physleta.2009.01.013
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.
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