本文建立包含製程阻尼及操作剛性之動態銑削模型，並針對切削負載下操作剛性及製程阻尼係數進行判別。此動態銑削力由準靜態力與製程阻尼力組成。其中考慮結構非線性負載，將操作剛性定義為對準靜態力中刀尖結構響應之影響，並以兩組平均力實驗判別切削係數。而在製程狀態下由於刀具與工件表面發生干涉，對系統提供額外製程阻尼力則表示為本文所建立之製程阻尼係數矩陣。有別於過去須以多組顫振實驗及穩定葉瓣圖判別製程阻尼，本文以雙軸向耦合之相位共振法分析穩定銑削實驗判別負載系統之製程阻尼係數與操作模態剛性。分別利用懸空加工與含底刃加工兩種實驗配置將側刃與底刃製程阻尼係數影響區分並對其係數進行判別。最後將操作模態剛性與製程阻尼結果置入動態銑削模型，以諧波平衡法與數值模擬法求解位移響應並與實驗量測之刀具位移比較驗證參數的正確性。結果顯示側刃製程阻尼係數隨每刃進給改變並無明顯變化，與理論結果相符合，而底刃阻尼係數則與庫倫摩擦模型有接近之趨勢與結果。在力量模擬比較的結果中，穩態總切削力與不考慮製程阻尼力之準靜態力僅在暫態響應上有些微差距，但運用本文提出之相位共振法仍能判別其製程阻尼係數；操作剛性的模擬中同樣對總銑削力無明顯之影響，但在考慮操作剛性之刀尖響應較只考慮實驗模態模型之動態響應更加符合實驗的結果。

In this paper, a dynamic milling model including process damping and operating stiffness is established. The operating stiffness and process damping coefficient under cutting load are discriminated. The dynamic milling force consists of a quasistatic force and a process damping force. Considering the structural nonlinear load, the operating stiffness is defined as the influence of the response of the tool tip in the quasistatic force. Then the cutting coefficient of quasistatic force is determined by two sets of average force experiments. In the process state, due to the interference between the tool and the workpiece surface, the additional process damping force provided to the system is expressed as the process damping coefficient matrix established in this paper. Different from the previous need to use multiple sets of chatter experiments and stable lobe diagrams to determine the process damping, this paper uses the biaxial coupling phase resonance method to analyze the stable milling experiment to determine the process damping coefficient and operating modal stiffness of the operational system. The simulation of milling force and tool tip response were validated in experiments, and the errors were controlled within 20%. The total cutting force in the steady state is only slightly different from the quasistatic force without the process damping force in the transient response, but the process damping coefficient can still be determined by using the phase resonance method proposed in this paper. Considering the operational stiffness, the milling force has no obvious effect, but the tool tip response is more in line with the experimental results than the dynamic response without the operational stiffness.

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