本文探討銑刀模態振型對加工穩定性造成的影響。由於刀具模態振型使刀具振動位移與切屑負載隨軸向位置不同而有所改變，因此本文將不同軸深下振動位移量的變化整合為模態力修正係數，並將模態力修正係數加入單一模態的含製程阻尼之臨界切深解析式中。本文使用平均力模式且假設銑削系統為對稱結構並針對槽銑之切削條件下，在考慮刀具模態振型與製程阻尼後，由於刀具模態振型使其振動位移隨軸深增加而減少，又因製程阻尼產生的等效結構阻尼與等效結構剛性，使系統阻尼與系統剛性隨軸深增加而上升，臨界切深曲線在相同轉速下存在兩個臨界切深點。由考慮刀具模態振型與製程阻尼之臨界切深曲線中發現，當軸向切深超過第一臨界點時，切削發生顫振。若軸向切深增加至第二臨界點以上，則為穩定切削狀態。且當主軸轉速越低，第一與第二臨界點距離越近，穩定切削範圍越大。由銑削實驗証實固定主軸轉速下，切削顫振振幅於較大軸向切深條件下有變小趨勢。在固定徑深、改變主軸轉速與軸向切深之銑削實驗中，實驗結果與考慮刀具模態振型之臨界切深曲線預測相符。

The effect of mode shape of cutting tool on milling stability is discussed in this thesis. Due to the mode shape of cutting tool, the vibration displacement and chip load vary with the different axial positions of tool. Therefore, variations of the vibration displacement in different axial positions of the tool are integrated into the force modified coefficient, and the coefficient is added to the single modal analytic expression of critical depth of cut with process damping. The tool vibration displacement decreases as the axial depth increases because of the mode shape of tool. And the equivalent structural damping and stiffness generated by process damping lead to the increased damping and stiffness for milling system. Effects of mode shape and process damping make the curve of critical depth of cut exist two critical points for a single spindle speed. The chatter happens when axial depth of cut is greater than the first critical point. However, milling will be stable if axial depth of cut is above the second critical point. Moreover, the lower spindle speed is, the closer two critical points are and the greater stable cutting area is. The phenomenon that chatter amplitude declines as the increasing axial depth of cut is verified by experiments and the results of experiments agree with the predictions for critical depth of cut with mode shape of tool and process damping.

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