The paper is concerned with the dissipative effect of the magnetic hysteresis in transverse dynamics of a rigid rotor supported in hydrodynamic bearings with magnetic actuation. Attention is focused on the influence of magnetic damping induced in the ferromagnetic core of a single magnetic actuator on the stability domain and the resonant behaviour of a rotor under constant gravity load and harmonic excitation. The dynamic relation between the magnetic field and magnetic induction in the core is described in form of a differential equation based on the hypothesis of magneto-rheologic analogy. Nonlinear magnetization curve reflecting magnetic saturation is included.
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