一般的電腦輔助設計系統通常以參數式函數來描述曲面。而在電腦輔助製造系統之研發中，產生切削微小曲面所需要之刀具路徑，是一項重要之技術。本論文係針對微小參數式曲面之刮削路徑規劃，做深入的探討。而刀具路徑規劃需考量曲面加工之表面光滑度及刀具路徑之補正等。刀具路徑規劃採用等剖面刀具路徑，並採用非固定路徑間隔的方式以提升加工效率。本研究並以實驗方式評估之刀具路徑規劃之可行性。

In current computer-aided design systems, parametric functions are frequently used to describe surfaces. In the development of computer-aided manufacturing systems, the cutter-path scheduling for micro-surface machining is one of the most important techniques. This thesis presents a cutter-path scheduling method for micro surfaces expressed in parametric functions. In the scheduling, surface roughness and cutter offset are investigated. In the research, two-axis iso-plane machining with variable path interval is frequently adopted to improve the machining efficiency. The proposed method is verified by experiments.

中文摘要 i
英文摘要 ii
目錄 iii
圖目錄 vi
表目錄 ix

第一章 緒論 1
1.1 研究之動機及目的 1
1.2 文獻回顧 2
1.3 研究方法 4

第二章 基本刀具路徑理論基礎 6
2.1 路徑規劃方式 6
2.1.1 等參數加工法 6
2.1.2 等扇數加工法 9
2.1.3 等剖面加工法 12
2.2 非球面之公式與定義 14
2.3 刀具路徑間隔與刀具進給方向理論 16
2.4 參數式非球面之公式推導 20

第三章 參數曲面刀具路徑規劃 23
3.1 參數路徑產生方法 23
3.2 刀具補償 25
3.3 路徑程式規劃 28
3.3.1 程式流程 28
3.3.2 程式架構 29
3.4 刀具路徑模擬 31
3.5 刀鼻半徑大小對刮削曲面的影響 38
3.6 拋物球面曲率係數(a)與拋物球面半徑(R)的關係 41

第四章 實驗結果與分析 47
4.1 實驗加工設備與材料 47
4.1.1 CNC三軸切削中心機 47
4.1.2 刀具幾何形狀 48
4.1.3 工件材料 49
4.2 實驗規劃 50
4.3 實驗現象分析 52
4.4 加工成品分析 52

第五章 結論與未來研究方向 56
5.1 結論 56
5.2 未來研究方向 57

參考文獻 58

誌謝 62

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