銑削加工時低轉速區因製程阻尼及動態力影響使穩定性提高。本文主要建立在對稱結構下考慮製程阻尼銑削多頻率穩定性模式，提出模態疊加法利用多頻率傅立葉轉換以二階矩陣求解銑削顫振之極限穩定切深及轉速以建立穩定葉瓣圖。高轉速區因高階動態力導致系統產生額外不穩定半島區，論文亦以多頻率穩定模式探討改變加工參數對半島區影響並與離散法結果比較。再針對製程阻尼模式探討高階製程阻尼力與零階製程阻尼力兩者對穩定性之影響，並在不同加工參數下比較不同模式運算速度及結果。若僅考慮零階製程阻尼，提出區域轉速固定阻尼法在槽銑時不需迭代即可繪製出穩定葉瓣圖。而考慮高階製程阻尼力時也將高階動態力一併考慮應用於全離散法中，探討在不同製程阻尼係數及加工參數下與本文模式之差異。

Milling stability with process damping and dynamic force are generally characterized by an increasing stability treads at low speeds. This thesis investigates multi frequency solution including process damping at symmetry structure. In order to reduce high order matrices, the simplified second order matrices are proposed to solve multi frequency solution in frequency domain. The critical depth and speed are also obtained to build the stability lobe. Furthermore, in high spindle speed, the dynamics force causes additional lobes. This thesis investigates the effect of different cutting parameters on additional lobes. The result also compares with the full discretization method (FDM).This thesis also investigates the effect of high order and zero order process damping on milling stability, and then compare the calculate speed and result with different model. In the past research, zero order process damping model use the iteration operation to obtain stability lobes. This paper provides a new method to predict stability lobes without repeat iteration. In addition, FDM method which involves both high order dynamic force and high order process damping is also presented to get stability lobes. The effect of the different process damping coefficients and cutting parameters on FDM method are systematically discussed.

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