非等向支撐對滾珠型自動平衡機構的影響

The Effects of the Anisotropy of the Suspension on the Performance of the Ball-Type Automatic Balancer

劉國威(Kuo-Wei Liu)

指導教授 ： 盧中仁

國立臺灣大學/工學院/機械工程學研究所/碩士(2007年)

https://doi.org/10.6342/NTU.2007.03201

摘要

非等向支撐對滾珠型自動平衡機構的影響
摘要

自動平衡機構的功能是用來減低轉動系統的動態不平衡量，藉以抑制其伴隨的振動量。滾珠型自動平衡機構在目前較為廣泛使用也有詳盡的分析，然而先前的研究大都集中在等向性的支撐，對於非等向性支撐的效應則較少著墨。本論文的目的即是分析支撐的非等向性對滾珠自動平衡機構效能的影響。首先建立非等向支撐雙滾珠自動平衡理論模型，使用Lagrange equations推導運動方程式。再來解出系統完全平衡解，利用數值積分探討穩態解及其分岐現象，並且使用Floquet Theory判斷完全平衡解的穩定性。

關鍵字

滾珠型自動平衡機構 ； 非等向性

並列摘要

The Effects of the Anisotropy of the Suspension on the Performance of the Ball-Type Automatic Balancer
Abstract

Automatic balancers are designed to reduce the dynamic imbalance of rotating systems and reduce the associated rotational vibrations. The ball-type automatic balancer is one of the most popular automatic balancers used in optical-disk industry and has been analyzed by many researchers. However, previous studies on ball-type automatic balancers are mostly concentrated on systems with isotropic suspension. Little attention has been given to the system with anisotropic suspension. This paper aims to study the effects of the anisotropy of the suspension on the performance of ball-type automatic balancers. A theoretical model of an optical disk drive packed with a two-ball automatic balancer is constructed first. The governing equations of the theoretical model are derived using Lagrange’s equations. The equilibrium positions and their existence conditions are determined. The steady-state behavior is investigated by numerical integration and the associated bifurcation diagram is constructed. Finally, the Floquet theory is used to determine the stability of the equilibrium position.

並列關鍵字

anisotropy ； ball-type automatic balancer

參考文獻

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