本研究主要探討滾珠型自動平衡裝置對於光碟機中的光學讀取模組承載機構非平面運動之影響。近來二維動態分析證實加裝自動平衡裝置之光碟機，對系統主軸與碟片產生的徑向振動量有著極佳的減振效果。為了進一步對系統狀態作分析與瞭解，本文採用三維的動態分析，深入探討加裝自動平衡裝置之光碟機對系統偏擺運動的影響。文中首先建立加裝自動平衡裝置之光學讀取模組承載機構的物理模型和定義公式推導需要的座標系統與尤拉角，接著利用Lagrange方程式推導加裝多顆滾珠的自動平衡裝置之光學讀取模組承載機構的3-D剛體運動方程式；其次利用數值模擬分析與實驗觀察得到自動平衡裝置徑向振動量與偏擺角。從數值結果得知加裝自動平衡裝置不但可以降低系統X-Y方向的殘餘振動量，且能有效抑制偏擺運動的效應；最後提出加裝自動平衡器之光學讀取模組承載機構的設計準則，以期改善光碟機系統因動不平衡所造成的振動問題，並且建議未來可持續進行的研究方向。

The recent two-dimensional dynamic analyses on the optic-disc drives have shown a great capability of the automatic ball balancer (ABB) for reducing radial vibration of the rotating assembly of the spindle and disk by counteracting the unbalance of the system. However, these analyses cannot provide satisfactory predictive capability on the dynamic behaviors of the practical optic-disc drives because the rocking motion of the rotor is more pronounced at high operating speeds. This thesis conducts a 3-D dynamic analysis on the system equipped with ABB in order to discuss the rocking motion of the rotor.
A simplified physical model and the coordinate systems for describing the non-planar motion are first defined. Secondly, use Lagrange method to derive the equations of motion for the rotor equipped with an ABB. Computer simulations and experiments of the 3-D motion are then carried out to calculate the levels of the radial and tilting vibratory motions of the rotor assembly. Results illustrate that a great deal of improvements have been achieved for reducing the radial vibration as well as the non-planar motion of the rotor system. Finally, some design guidelines are provided for the ABB design engineers.

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