Investigation of a Multi-ball Automatic Dynamic Balancing Mechanism for Eccentric Rotors
K Green (Vrije Universiteit, Amsterdam, The Netherlands), AR Champneys, MI Friswell (University of Bristol) & AM Munoz (University of Seville, Spain)
Transactions of the Royal Society of London, Series A, Vol. 366, No. 1866, March 2008, pp. 705-728
This paper concerns an analytical and experimental investigation into the dynamics of an automatic dynamic balancer (ADB) designed to quench vibration in eccentric rotors. This fundamentally nonlinear device incorporates several balancing masses that are free to rotate in a circumferentially mounted ball race. An earlier study into the steady state and transient response of the device with two balls is extended to the case of an arbitrary number of balls. Using bifurcation analysis allied to numerical simulation of a fully nonlinear model, the question is addressed of whether increasing the number of balls is advantageous. It is found that it is never possible to perfectly balance the device at rotation speeds comparable with or below the first natural, bending frequency of the rotor. When considering practical implementation of the device, a modification is suggested where individual balls are contained in separate arcs of the ball race, with rigid partitions separating each arc. Simulation results for a partitioned ADB are compared to those from an experimental rig. Close qualitative and quantitative match is found between the theory and experiment, confirming that for sub-resonant rotation speeds, the ADB at best makes no difference to the imbalance, and can make things substantially worse. Further related configurations worthy of experimental and numerical investigation are proposed.
This material has been published in the Transactions of the Royal Society of London, Series A, Vol. 366, No. 1866, March 2008, pp. 705-728, the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by The Royal Society. This material may not be copied or reposted without explicit permission.
Link to paper using doi:10.1098/rsta.2007.2123
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