On the Strongly Nonlinear Resonance of a Rotor with a Self- balancing Device

Abstract eng:
Passage through and capture into the resonance of a rigid rotor with the attached self-balancing device and driven by an induction engine of limited power is investigated using an averaging procedure for a partially strongly damped system. The approach is closely related ... first-order differential equation predicting both stationary and transient solutions of the original system. Solutions captured into the resonance differ strongly from those in the system without self-balancing devices. The velocity of the rotor oscillates slowly around a certain value while ... in the vicinity of the resonance. The approximate results are compared with the direct numerical simulations of the full system and demonstrate very good accuracy everywhere except in the small vicinity of the bifurcation point.

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