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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
Original languageEnglish
Publication statusPublished - 25 May 2007

Bibliographical note

Sponsorship: DJR gratefully acknowledges the support from a CASE award provided by the EPSRC and Rolls-Royce plc.


  • automatic balancing
  • dynamic imbalance
  • rotordynamics

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