臺灣博碩士論文加值系統

本論文針對五軸工具機提出一套具有能夠解析幾何誤差之數學模型，用以解決工具機之幾何誤差，首先藉由齊次座標轉換矩陣針對機型建立五軸工具機的運動學模型，並推導出機台的運動學將誤差矩陣分析出9項線性相依的誤差項與2項獨立誤差項。將五軸工具機先拆解為三軸線性軸共21項誤差與兩軸旋轉軸共22項誤差，其中分為由運動時所產生的12項元件誤差(Component error)及機台組裝時產生的10項位置誤差(Location error)，求解旋轉軸前先需利用Renishaw XL-80雷射位移器與Ballbar進行三軸線性軸補償，接著運用IBS R-Test進行兩旋轉軸補償，並透過Ballbar 進行五軸誤差量測與IBS R-Test進行比較，最後藉由切削ISO 10791-7;2014規範切削NAS-979進行驗證補償效果，於三次元量測儀量測補償前及補償後所加工出來的精度差異比較。

In this study, this paper presents a robust mathematical model solution for five-axis machine tool to solve the geometric error, the kinematic model and volumetric error are derived using homogeneous transformation matrix, and derive kinematic of the machine and analyze the error matrix to get 9 linearly dependent error and 2 independent error. A three-axis milling machine has 21 geometric error and axis of rotation with 12 component errors and 10 location errors, before solving the rotating shaft. Use the Renishaw XL-80 laser displacement device and Ballbar to compensation three-axis linear shaft, and then use IBS R-Test to perform two-axis compensation, and the five-axis error measurement through Ballbar is compared with IBS R-Test, after the amount is compensated into the machine, the compensation effect is verified by cutting ISO 10791-7;2014 standard cutting NAS-979, In the end use CMM to the accuracy of the processing.

摘要.................................i
Abstract............................ii
誌謝...............................iii
目錄................................iv
表目錄..............................vi
圖目錄.............................vii
符號說明..........................viii
第一章 緒論..........................1
1.1 研究動機與目的....................1
1.2 文獻探討.........................1
1.2.1 誤差模型.......................1
1.2.2 誤差量測.......................2
1.2.3 誤差分析.......................3
1.2.4 切削驗證.......................3
1.3 研究方法.........................4
1.4 論文架構.........................4
第二章 工具機之座標轉換................5
2.1 機械座標系定義....................5
2.2 齊次座標轉換矩陣..................5
2.3 順逆向運動學......................8
第三章 誤差建模與分析.................11
3.1 工具機之誤差來源..................11
3.1.1 元件誤差.......................11
3.1.2 組裝誤差.......................12
3.2 幾何誤差.........................13
3.3 工具機之幾何誤差模型推導...........19
3.3.1 三軸工具機誤差建模..............19
3.3.2 五軸工具機誤差建模..............22
3.4 誤差矩陣特性.....................31
3.5 誤差單位之換算...................33
第四章 實驗結果與驗證.................34
4.1 實驗架構.........................34
4.1.2 量測儀器.......................35
4.1.3 誤差量測.......................35
4.1.4 誤差補償.......................36
4.2 誤差鑑別.........................36
第五章 結論與未來展望.................40
參考文獻.............................41
附錄一 雷射干涉儀量測數據..............44
附錄二 R-Test量測數據.................47
附錄三 三次元量測數據..................52
附錄四 Renishaw Ballbar五軸量測數據....54
附錄五 三次元量測儀規格................59
Extended Abstract...................60

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