本文針對對稱結構之銑削系統，提出在切深穩定葉瓣圖中各葉瓣交點所對應之最穩定轉速及最佳軸向切深之解析求解方法。藉由建立在不同徑深下最佳與臨界軸向切深比值之特徵圖，可以得到對應之主軸轉速下，最佳軸向切深相較於臨界軸向切深所提高之加工效益，文中亦整理出簡單之預測式以快速計算近似解，並以數值迭代法求得數值解，比較預測式近似解與數值解之誤差在-8~5%以內。
在描述銑削加工穩定性之切深及轉速關係中，提出並量化代表穩定裕度之穩定性指標。描述加工切深及轉速對穩定性之穩健性。建立代表穩定性指標之葉瓣圖繪製方法，據以探討在不同主軸轉速、阻尼、切深下其與穩定裕度之關係。研究發現同軸向切深條件下，低轉速之穩定裕度大於高轉速狀態。最後進行銑削振動實驗，驗證本文所述之理論。

For milling system of symmetrical structure, this paper presents a method to find the best axial cutting depth at the intersection of the lobe curves in stability chart. The features of the stability diagram about the ratio between best and critical depth of cut, it is feasible to improve the axial cutting depth from an unstable point to the best stable speed and depth of cut. An analytical formula is also presented as the approximate solution for the best depth of cut as function of damping ratio and lobe number. The error between the approximate solution and the numerical solution is between -8~5%.
To characterize the relationship between stability, cutting depth and spindle speed, this paper presents the Stability Index(SI) to identify the stability margin in the stability chart. We also presents a method to make the lobe chart of the SI. These charts are then utilized to discuss the relationship between different spindle speed, damping ratio, cutting depth and stability. It is shown that the stability margin at lower spindle speed is better than at higher speed at the same axial cutting depth. Finally, milling experiments are conducted to validate the analytical predictions.

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