鑽孔加工中隨著鑽孔深度越深力量會有上升的趨勢，以往認為是切屑排除時在刀具與工件上摩擦所致，但研究發現隨著鑽孔深度越深切屑厚度亦會增加進而影響切削力，此現象為排屑力對排出切屑施壓所致，使得傳統切削理論不適用，故本文建立一考慮不同鑽孔深度下受排屑力影響切削機制之鑽削力解析模型。本模型將麻花鑽的鑽唇與鑿刃分為多個元素，透過對鑽頭幾何分析，使用斜交切削理論建立隨不同切削半徑下刀傾角與剪切角的關係式。配合量測不同鑽孔深度下的切削比，將排屑力影響加入正交切削理論中計算不同加工參數下各元素鑽削時剪切面的剪應變、剪應變率，代入材料構成方程式計算各元素剪切面上剪應力。最後結合刀尖犁切效應以斜交切削理論求得三軸向六個比切削係數，以數值積分方式計算鑽削時扭力及軸向推力。本文以6061-T6鋁合金進行乾式鑽孔及擴孔實驗，並收集不同鑽孔深度切屑量測排屑力，經實驗驗證模型在不同加工條件下有良好的準確性。

In drilling, force increases with deeper depth. In the past, this phenomenon was attributed to the friction force between the tool and the hole wall when the chips were evacuated. This study finds that cutting forces enhances due to larger chip thickness with deeper depth. It is caused by the chip-evacuation forces which doesn’t fit traditional theory. Therefore, this paper establishes an analytical model of drilling force considering chip-evacuation forces at different depths. This model divides the drill lips and chisel edge of a twist drill into multiple elements via drill geometry with oblique cutting theory to establish the relationship between the rake angle and the shear angle at different cutting radii. Measure the cutting ratio at different drilling depths, add the influence of chip-evacuation forces to the orthogonal cutting theory, calculate the shear strain and shear strain rate of each element under different processing parameters, and substitute the above parameters into constitutive equation to calculate each element’s shear stress on the shear plane. Finally, combined with the edge ploughing mechanism, the six specific cutting coefficients in the three axes are obtained by the oblique cutting theory, and the torque and axial thrust force during drilling are calculated by numerical integration. In this paper, 6061-T6 aluminum alloy is used for dry drilling and reaming experiments, and the chips at different drilling depths are collected to measure the chip-evacuation force. The experiment verifies that the model has good accuracy under different processing conditions.

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