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Automatic two-plane balancing for rigid rotors
Authors:D.J. Rodrigues  A.R. Champneys  R.E. Wilson
Affiliation:a Department of Engineering Mathematics, University of Bristol, Bristol BS8 1TR, UK
b Department of Aerospace Engineering, University of Bristol, Bristol BS8 1TR, UK
Abstract:We present an analysis of a two-plane automatic balancing device for rigid rotors. Ball bearings, which are free to travel around a race, are used to eliminate imbalance due to shaft eccentricity or misalignment. The rotating frame is used to derive autonomous equations of motion and the symmetry breaking bifurcations of this system are investigated. Stability diagrams in various parameter planes show the coexistence of a stable balanced state with other less desirable dynamics.
Keywords:Automatic balancing   Rigid rotor   Dynamic imbalance
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