摘要
本文主要是在分析高速鑽削過程中，不同轉速與軸向負載狀況下鑽頭之自然頻率變化。文中將鑽頭的尾端視為夾持端，然後利用PRO-E及MARC有限元限套裝程式，配合Lanczos和Inverse Power Sweep兩特微值解析法，分析鑽頭在靜止時、具轉速時、旋轉並具軸向負載時，三狀況下，鑽頭自然頻率與轉速、負載交互影響及變化情形，文中並採用特定邊界條件模擬鑽頭鑽入工件的情形。模擬的方式，是在鑽頭的周圍，加上許多彈簧，調整彈性係數的大小，來模擬工件的材料性質。本文中實驗部份，主要是在觀察鑽頭鑽削時，不同轉速下，軸向負載和力矩其時域響應與頻域分佈之變化情形。配合經驗公式計算在不同轉速和進給之軸向負載，並和實驗軸向負載平均值比較，以驗證經驗公式預估值與實測值之可靠性。

Abstract
In this thesis, the variation of the natural frequencies of a drill during the high speed drilling processes has been investigated. The Pro-E and MARC finite element packages were used to formulate the twisted drills. Two numerical methods,i.e. Lanczos and Inverse Power Sweep, have been employed to solve the corresponding eigen value problems.The effects of following parameters,e.g. drilling speed,axial load and drilling conditions on the natural frequencies of a drill was simulated numerically and measured experimentally. Four springs with different spring stiffness attached on the drill tip is used to simulate the drill as it penetrated into the workpiece. The variation of the drilling responses under different drilling speeds have been measured. Results indicate the measured results agree very well with the measured data.Frequency spectrum distributions indicate the drilling frequency and the twice drilling frequency are the key response frequency of the axial thrust force, and the drill of frequencyisthe only key frequency which dominates the torque response.Experimental results also show the thrust forces estimated from the empirical equation have good correlation with these measured data.

謝誌 i
英文摘要 ii
摘要 iii
目錄 iv
圖目錄 vii
表目錄 xiv
符號說明 xv
第一章 緒論 1
1-1 前言 1
1-2 文獻回顧 9
1-2-1 考慮扭矩和彎矩耦合效應之樑模式 9
1-2-2 扭轉樑的動態特性分析 9
1-3 組織與章節 12
第二章 套裝程式介紹和理論導引 13
2-1 前言 13
2-2 Pro-Engineer套裝程式簡介 13
2-3 MARC套裝程式系統架構 14
2-3-1 MARC有限元素分析套裝程式簡介式 14
2-3-2 MARC分析程式資料庫之結構 18
2-3-3 MARC有限元素套裝分析程式之輸入平台 19
2-4 有限元素法分析步驟 22
2-5 問題描述 23
2-6 自然頻率計算方法 26
2-7 計算鑽頭軸向負載公式 31
第三章 實驗床台配置和相關儀器 32
3-1 實驗目的 32
3-2 實驗床台配置 32
3-3-1 動態軸向力抽取夾具配置 33
3-3-2 動態力矩抽取床台配置 34
第四章 數值解析和實驗結果 51
4-1 預扭矩形樑採用不同元素所得自然頻率值之比較 51
4-2 鑽頭的動態分析 62
4-2-1 靜止鑽頭之自然頻率分析 62
4-2-2 不同轉速下鑽頭自然頻率之變化 63
4-2-3 鑽頭受不同軸向負載及轉速時自然頻率之變化 64
4-2-4 模擬鑽頭鑽入工件時之動態特性變化 65
4-3 實驗數據分析 98
4-3-1 鑽削過程中量得軸向力之變化 98
4-3-2 鑽削過程中量得力矩之變化 99
第五章 結論 113
參考文獻 114

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