本研究運用最佳化方法，以提升自由曲面側銑之加工效率。對於自由曲面側銑的問題，吾人根據微分幾何之曲面特性，規劃最適化的刀具路徑，以最佳化之黃金分割法，經由切削誤差的計算與干涉的檢測，求出每個切削點之最佳刀具切削方位。本論文並以側銑軸向渦輪葉片之曲面為實例，執行電腦模擬與驗證，由結果證實，本研究之方法可實際運用於自由曲面的五軸NC側銑加工，其與端銑精切削之加工效率比較，加工時間可縮短約百分之七十五。

In this thesis, the use of optimization algorithms to improve cutting efficiency in flank milling of freeform surfaces has been developed. The golden section method is applied to searching optimal tool paths. As a result, tool orientation with minimum surface profile error and without collision along the tool path can be determined. Finally, the tool path planning of an axial turbine blade is performed and verified by using this approach. It is shown that the finish machining time for the axial turbine blade can be greatly reduced through this approach. In other words, the techniques presented in this thesis can be used to improve 5-axis tool path generation in flank milling of freeform surfaces operations.

第一章 緒 論
第二章　曲面之幾何性質與理論上的應用
第三章 刀具位置與方位的決定
第四章 刀具路徑的電腦模擬與結果驗證
第五章 五軸NC程式的產生
第六章 結論與未來展望

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