精密機械之運轉常使用滾珠軸承元件，而滾珠為其主要元件，滾珠真球度及表面粗度對軸承性能及可靠度有顯著影響。本研究首先考慮陀螺效應的影響並修正磁性流體研磨法之理論模式，解析在滾珠研磨過程之滾珠運動行為。其解析結果顯示定性上由滾珠自轉角度和驅動軸轉速的關係之明顯變化，可預測接觸面間滑動之發生條件，且陀螺效應有助於滾珠的運動更隨機變化。
接著，為獲得高效率、高精度的研磨，針對本研究室自行開發之新型研磨加工機的滾珠研磨模式，進行滾珠研磨軌跡的理論解析。解析結果顯示當自轉軸角度在0~2p之間穩定變化時，滾珠之研磨軌跡是均勻的。

A ball bearing is widely used in the precision machine, and the ball is its major component. The sphericity and the surface roughness of the ball significantly influence the bearing per-formance and reliability. First, this study considers the gyro-scopic effect and modifies the theoretical model of magnetic fluid grinding to analyze the kinematics characteristics of ball grinding process. According to the apparent changes in the spin angle and the shaft angular speed, the theoretical analysis qualitatively predicts the onset of skidding between contacts. Moreover, the gyroscopic effect is helpful to the randomizing for the ball motion.
Second, the grinding trajectory on ball is theoretically analyzed for the new self-developed grinding machine to ob-tain the high efficiency and high precision grinding of balls. Results show that the grinding trajectory is uniform when the spin angle stably changes from 0 to 2p periodically.

總 目 錄
頁次
總目錄 i
圖目錄 iii
符號說明 vi
中文摘要 ix
英文摘要 x

第一章 緒 論 1
1-1 研究動機 1
1-2 文獻回顧 2
1-2-1 鋼球研磨 2
1-2-2 陶瓷球研磨 3
1-2-3 研磨軌跡 4
1-3 本文重點 5
1-4 本論文架構 5
第二章 磁性流體研磨法之研磨模式的理論解析 11
2-1 理論基礎 11
2-1-1 滾珠之運動方程式 11
2-1-2 穩態平衡方程式 12
2-1-3 各作用力的計算 13
2-2 陀螺效應 17
2-3 計算程序 18
第三章 新型滾珠研磨加工機之理論解析 23
3-1 研磨軌跡方程式 23
3-1-1 忽略wg的作用 24
3-1-2 考慮wg的作用 25
3-1-3 研磨軌跡方程式的修正 27
3-2 解析程28
第四章 結果與討論 35
4-1 滾珠運動的數值解析 35
4-1-1 陀螺效應的作用 35
4-1-2 研磨負荷對陀螺效應的影響 36
4-1-3 摩擦係數對陀螺效應的影響 36
4-1-4 黏度對陀螺效應的影響 37
4-2 研磨軌跡的數值解析 48
4-2-1 自轉轉速的影響 48
4-2-2 磁性流體研磨法的情況 48
4-2-3 新型滾珠研磨加工機的情況 49
第五章 結論與未來展望 65
5-1 結論 65
5-2 未來展望 66
參考文獻 67

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