The Dynamic Characteristics of Multi-Ball Automatic Balancers
Date Issued
2006
Date
2006
Author(s)
Hung, Chia-Hsing
DOI
zh-TW
Abstract
Ball-type automatic balancers are widely employed in the optical disk drive industry to reduce the vibrations due to the inherent imbalance of the optical disk. Although ball-type automatic balancers currently used in practice consists of several balls moving freely along a circular orbit, no studies have investigated the dynamic characteristics of ball-type balancers with more than two balls. This paper aims at studying the dynamic characteristics of a three-ball automatic balancer. Emphasis is made on the stability of the equilibrium positions of the balls 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 formulae for the equilibrium positions are presented. Local stability of the equilibrium positions is investigated by the Routh criterion, center manifold theorem and numerical evaluation. By comparing the stability regions of a three-ball balancer to those of a two-ball balancer, the effects of the number of balls on the performance of automatic balancer are studied in details. Finally, the global dynamical characteristics of ball-type balancers are investigated, several types of periodic solutions are identified.
Subjects
滾珠型自動平衡系統
偏心振動
三滾珠
ABS
ball-type automatic balancer
imbalance vibration
three-ball type
Type
thesis
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