Ball-type automatic balancers can effectively reduce the vibrations of optical disk drives due to the inherent imbalance of the disk. Although the ball-type automatic balancer used in practice consists of several balls moving along a circular orbit, few studies have investigated the dynamic characteristics of ball-type balancers with more than two balls. The aim of this paper is to study the dynamic characteristics of a three-ball automatic balancer. Emphasis is put on the effects of the number of balls on the stability of the perfect balancing positions—the equilibrium positions where the disk is perfectly balanced. A theoretical model of an optical disk drive packed with a three-ball automatic balancer is constructed first. The governing equations of the theoretical model are derived using Lagrange’s equations. Closed-form formulas for the equilibrium positions are presented. The stability of the perfect balancing positions is checked with the variations for a pair of design parameters. Stable regions of the perfect balancing positions in the parameter plane of a three-ball balancer are identified and compared with those of a two-ball balancer.
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October 2008
Research Papers
Stability Analysis of a Three-Ball Automatic Balancer
Chung-Jen Lu,
Chung-Jen Lu
Associate Professor
Department of Mechanical Engineering,
e-mail: cjlu@ntu.edu.tw
National Taiwan University
, No. 1 Roosevelt Road Section 4, Taipei 10617, Taiwan, R.O.C.
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Chia-Hsing Hung
Chia-Hsing Hung
Graduate Student
Department of Mechanical Engineering,
National Taiwan University
, No. 1 Roosevelt Road Section 4, Taipei 10617, Taiwan, R.O.C.
Search for other works by this author on:
Chung-Jen Lu
Associate Professor
Department of Mechanical Engineering,
National Taiwan University
, No. 1 Roosevelt Road Section 4, Taipei 10617, Taiwan, R.O.C.e-mail: cjlu@ntu.edu.tw
Chia-Hsing Hung
Graduate Student
Department of Mechanical Engineering,
National Taiwan University
, No. 1 Roosevelt Road Section 4, Taipei 10617, Taiwan, R.O.C.J. Vib. Acoust. Oct 2008, 130(5): 051008 (7 pages)
Published Online: August 14, 2008
Article history
Received:
June 4, 2007
Revised:
April 1, 2008
Published:
August 14, 2008
Citation
Lu, C., and Hung, C. (August 14, 2008). "Stability Analysis of a Three-Ball Automatic Balancer." ASME. J. Vib. Acoust. October 2008; 130(5): 051008. https://doi.org/10.1115/1.2948415
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