Adaptive Influence Coefficient Control of Single-Plane Active Balancing Systems for Rotating Machinery

[+] Author and Article Information
Stephen W. Dyer

BalaDyne Corporation, Ann Arbor, MI 48108-2254

Jun Ni

Department of Mechanical Engineering, The University of Michigan, Ann Arbor, MI 48109-2136

J. Manuf. Sci. Eng 123(2), 291-298 (Feb 01, 2000) (8 pages) doi:10.1115/1.1349554 History: Received June 01, 1999; Accepted February 01, 2000
Copyright © 2001 by ASME
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Schematic of active balancing system for high-speed machining spindles
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Vibration error signal demodulated to obtain the shaft rotation-synchronous frequency phasor
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Single-plane active balancing control stable for all values of (αc/c⁁) falling within the unit circle in the right half complex plane (R<1)
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Influence coefficient estimation performance for various values of the β “Forgetting Factor”
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Adaptive influence coefficient control block diagram
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Flow chart of experimental single-plane active balancing control system
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Experimental setup of single plane active balancing system on test spindle 2 mounted in a high-speed machining center
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Measured spindle housing vibration during active balancing of nonlinear system
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Measured time-frequency spectrum of spindle housing vibration showing broadband effect of active balancing of nonlinear system
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Measured spindle housing vibration during single-plane adaptive active balancing with inaccurate initial influence coefficient estimate
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Measured spindle housing vibration during single-plane active balancing after adaptive system “learning”
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Measured spindle housing vibration before and after adaptive active balancing at various spindle speeds (70 g-mm unbalance at tool tip)



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