本文目的在於建立波動切削力模式，並將其應用於超音波振動輔助鑽削力之預測。首先，以零階剪犁切削模式為基礎，建立波動正交切削在正餘隙角狀態之剪切與犁切力模式，並考慮在負餘隙角狀態，刀腹與工件干涉時產生之抹壓機制與抹壓力模式，會發現剪切係數隨等效刀傾角改變，因而建立剪切係數與等效刀傾角之一階模式。針對刀腹動態干涉產生之抹壓效應，本文建立抹壓力與降伏強度及抹壓面積之關係式。而波動切削力模式之驗證，在於利用快削黃銅進行不同切屑厚度的波動正交切削實驗；先以穩態切削實驗求得剪犁切削常數，再透過波動切削實驗求一階剪切係數及抹壓常數；以修正過後的切削力模式預測不同切入角、未變形切屑厚度之波動正交切削力，會發現水平方向與垂直方向之模式平均力預測與實驗誤差分別低於19.7%與17.3%。觀察實驗與模擬結果得知，切入角越大之垂直方向平均力越大，但水平方向平均力越小，故推論原因，其一為刀具波動導致切向剪切力在水平分力變小，而在垂直分力變大；其二則是因切入角越大抹壓力越大，導致抹壓力於水平力變小，垂直力變大。
接著，將波動正交切削力模式應用至超音波振動輔助鑽削力模式，以鋁合金進行不同每刃進給之鑽削實驗，再由實驗量測平均鑽削力可獲得一階鑽削係數。以修正過後之鑽削力模式來預測不同轉速與每刃進給之超音波振動輔助平均鑽削力，結果顯示，平均總扭矩與實驗值誤差低於10.6%；平均總推力之預測與實驗值誤差低於18.4%。故由實驗與模擬結果得知，切入角越大，平均總扭矩越小而平均總推力越大。最後，本文以鎳基超合金來進行超音波振動輔助與傳統鑽削之擴孔實驗；探討主軸轉速、每刃進給與超音波功率對孔壁表面粗糙度與孔徑精度的影響，並以田口品質設計法找出最佳製程參數。將最佳化參數驗證實驗與9組田口實驗之總平均相比，孔壁表面粗糙度提升45.4%，孔徑精度提升49.8%。

This study aims to create a force modeling of wave orthogonal cutting for predicting forces in UVAD. It develops a model for both positive and negative rake angles, considering tool-workpiece interaction. Validation involves obtaining cutting coefficients and constants through experiments with varying chip thickness. The model predicts forces with errors below 19.7% horizontally and 17.3% vertically. The model is extended to UVAD force prediction, using drilling coefficients from experiments with varying feed per tooth. The predicted average cutting forces have errors below 10.6% for torque and 18.4% for thrust. Larger penetration angles result in lower torque but higher thrust. Finally, hole enlargement experiments on a nickel-based superalloy using UVAD investigate the impact of spindle speed, feed, and ultrasonic power on hole quality. Optimal parameters, identified through Taguchi method, enhance hole surface by 45.4% and diameter accuracy by 49.8% compared to validation experiments.

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