Stability Analysis of a Single-Ball Automatic Balancer
Resource
ASME Journal of Vibration and Acoustics 128: 122-125
Journal
ASME Journal of Vibration and Acoustics
Journal Volume
Vibration
Pages
122-125
Date Issued
2006
Date
2006
Author(s)
Abstract
Under proper working conditions, a ball-type automatic balancer can effectively reduce the imbalance vibrations of an optical disk drive. The proper working conditions can be determined by a stability analysis of the equilibrium states of the nonlinear system formed by the rotating disk, balancer, and suspension system. Several attempts have been made to study the stability of the equilibrium states numerically in some finite regions of the relevant parameter space. This paper in contrast analytically investigates the stability characteristics of the equilibrium states. A theoretical model of an optical disk drive packed with an automatic balancer is constructed first. The governing equations of the theoretical model are derived using Lagrange's equations and closed-form formulas for the equilibrium positions are presented. Finally, general guidelines on the stability of the equilibrium states are proposed. Copyright © 2006 by ASME.
Subjects
Automatic balancer; Optical disk; Stability; Vibration
Other Subjects
Lagrange multipliers; Mathematical models; Nonlinear control systems; Optical disk storage; System stability; Vibration control; Vibrations (mechanical); Automatic balancer; Stability analysis; Balancing machines
Type
journal article
File(s)![Thumbnail Image]()
Loading...
Name
05.pdf
Size
147.72 KB
Format
Adobe PDF
Checksum
(MD5):17d7af25aafacfe2f20f71add682949b