本文針對裝配滾珠型自動平衡裝置之光碟機系統進行分析，以探討加裝自動平衡裝置後之系統動態行為。在分析的過程中，首先經由適當的假設，建立加裝自動平衡裝置後之系統數學模型，並透過Lagrange Equation的推導方式，推導出整個系統及自動平衡裝置中滾珠之動態方程式。接著使用複合時間比例法找出系統的穩態解並作穩定度分析，以探討各個設計參數對自動平衡裝置減振性能的影響。經由穩定度分析與動態模擬的結果顯示，系統在平移共振頻率與扭轉共振頻率附近皆有不穩定區域存在，使得滾珠無法定位下來；若欲發揮自動平衡裝置最佳的減振效果，系統必須操作在扭轉共振頻率以上。但如果在承載底座設計時，能儘量縮短主軸馬達與承載底座質心之距離，則可消除扭轉共振頻率附近的不穩定區域，使平移共振頻率以上皆是自動平衡裝置可工作的轉速範圍。上述理論分析結果也經由實驗獲得驗證，最後提出搭配滾珠型自動平衡裝置之承載底座設計方法及馬達加速曲線的設計概念，以提昇自動平衡裝置的平衡效果與一致性。

This thesis is devoted to study the dynamic behaviors of the optical disk drive equipped with an automatic ball-type balancer. A mathematical model considering the foundation design is first established based on some proper assumptions, and employs Lagrange’s equation to derive equations of motion for balls and foundation. Then utilize the method of multiple scales to obtain the steady-state solutions. Having completed a stability analysis, the influence of each parameter on the performance of automatic balance system (ABS) in radial vibration reduction is distilled. It’s obtained based on theoretical and simulation results that there are two unstable regions, where balancing balls cannot settle near translational and torsional resonance. To achieve an optimal balancing performance, i.e., the residual vibration is reduced to almost zero, the system must be operated above torsional resonance. Furthermore, shortening the distance between spindle motor and the C.G. of the foundation can eliminate the unstable region near torsional resonant frequency, so that the operating speeds above translational resonance are stable regions. The aforementioned results are verified via experiments as well. Finally, some guidelines on the foundation design and the velocity profile design of the spindle motor are proposed to improve balancing performance and consistence.

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