Stability Analysis of a Three-Ball Automatic Balancer
Resource
ASME Journal of Vibration and Acoustics 130: 0510081(1-7)
Journal
ASME Journal of Vibration and Acoustics
Journal Volume
Vibration
Journal Issue
1-7
Pages
-
Date Issued
2008
Date
2008
Author(s)
Hung, Chia-Hsing
Abstract
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. Copyright © 2008 by ASME.
Other Subjects
Balancing; Cable stayed bridges; Data recording; Data storage equipment; Disks (structural components); Drives; Optical data storage; Optical disk storage; Optical recording; Videodisks; Automatic balancers; Ball-type; Circular orbits; Closed-form; Design parameters.; Dynamic characteristics; Equilibrium positions; Governing equations; Lagrange's equations; Optical disk drives; Parameter planes; Stability analyses; Theoretical models; Spheres
Type
journal article
File(s)![Thumbnail Image]()
Loading...
Name
02.pdf
Size
847.92 KB
Format
Adobe PDF
Checksum
(MD5):8600e6a42c489aaa4a59a06e68b7f892