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研究生: 黃泊憲
Bo-Xian Huang
論文名稱: 以五軸CMM對葉輪進行最佳化避障量測路徑之規劃研究
Research on the optimal collision-free measuring path configuration for an impeller using a 5-axis CMM
指導教授: 修芳仲
Fang-jung Shiou
口試委員: 林清安
Alan C. Lin
林顯群
Sheam-chyun Lin
許總欣
Tsung-shin Hsu
學位類別: 碩士
Master
系所名稱: 工程學院 - 機械工程系
Department of Mechanical Engineering
論文出版年: 2008
畢業學年度: 96
語文別: 中文
論文頁數: 118
中文關鍵詞: 螞蟻群聚最佳化最佳化避障量測路徑三次元座標量測儀葉輪
外文關鍵詞: Optimal Collision-Free Measuring Path, DMIS, Impeller
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  • 葉輪(Impeller)為應用極廣的航太零組件,由於葉輪複雜的曲面造型使得傳統的量測檢驗技術無法適用,因此本研究開發一套DMIS後處理程式應用於五軸之三次元座標量測儀(Coordinate Measuring Machine; CMM)進行無干涉(Collision-free)之最佳化路徑(Optimal Path)檢測。所開發之DMIS後處理程式主要包括無干涉角度範圍之計算、最少探頭方位變換次數之計算及最短量測路徑之計算等模組。
    本研究以干涉避障之演算法計算出量測點可進行無碰撞量測之探頭角度範圍,並運用一n×49之量測角度矩陣使探頭方位變換次數達至最少化,可避免探頭因進行多次的方位變換而增加量測之時間成本。
    在最佳化量測路徑方面,本研究運用螞蟻群聚最佳化(Ant Colony Optimization; ACO)演算法找出進行量測時之最短路徑,並於最後以三種往復式量測路徑對量測角度矩陣運算所得之量測路徑、ACO運算所得之量測路徑及最佳化量測路徑進行量測時間之比較,其結果得知,量測角度矩陣運算對時間改善度比ACO運算佳,而最佳化量測路徑改善時間之平均百分比為43.97%。因此本研究所開發DMIS後處理系統可有效的運用至葉輪之檢測。


    The objective this study is to develop a DMIS post-processor, to configure an optimal collision-free measuring path of an impeller for a 5-axis coordinate measuring machine (CMM). The developed DMIS Post-processor mainly includes the following modules, namely the calculation of collision-free angle range, calculation of the minimal number of variations for the change of probe orientation, and the calculation of the shortest measuring path, etc. Based on the calculated collision-free angle range of a probe stylus at each measuring point, the minimal number of variations for the change of probe orientation was calculated by the measurement angle matrix analysis method, to decrease the measuring time. Ant Colony Optimization (ACO) method was used to find out a shortest path as the optimal measuring path. A comparison among the zigzag methods, the measurement angle matrix analysis method, the ACO method, and combine the measurement angle matrix analysis method combined with the ACO method on the measuring time has been carried out. According to the analysis results, the measurement angle matrix analysis method played the most important role on the improvement of the measuring time. The improvement of the measuring time using the measurement angle matrix analysis method and the ACO method was about 43.97% less than the zigzag methods. The developed DMIS Post-processor could process effectively the DMIS file generated by the Pro/CMM module of the Pro/Engineer software, and configure the optimal measuring path, according to the experimental results.

    中文摘要 I Abstract II 誌 謝 III 目 錄 IV 圖索引 VII 表索引 X 第一章 緒論 1 1.1 研究動機與目的 1 1.2 文獻回顧 2 1.3 研究方法與論文架構 8 第二章 量測原理與系統架構流程 10 2.1 三次元量測設備 10 2.1.1 CNC三次元座標量測儀 10 2.1.2 量測探頭模組 12 2.2 葉輪之幾何名稱及幾何參數 14 2.3 計算法線向量之方法與自由曲面量測步驟 16 2.3.1 計算法線向量的方法 16 2.3.2 探頭半徑補正 20 2.3.3 自由曲面量測移動路徑 21 2.4 DMIS格式 22 2.5 系統架構與流程 23 第三章 葉輪之干涉與避障研究 26 3.1 干涉情況介紹 26 3.2 干涉避障演算法 27 3.2.1 干涉避障之演算流程 29 3.2.2 葉片壓力面之干涉避障分析 30 3.2.3 葉片吸力面之干涉避障分析 35 3.2.4 探頭進、退路徑及變換方位之位置 38 3.3探頭避障量測角度範圍 41 3.3.1 葉片壓力面之探頭避障量測角度範圍 42 3.3.2 葉片吸力面之探頭避障量測角度範圍 45 3.4探頭方位變換次數最少化之分析 48 第四章 以螞蟻群聚最佳化演算法規劃最短量測路徑 52 4.1 旅行推銷員問題 52 4.2 螞蟻行為 53 4.3 螞蟻群聚最佳化之起源 55 4.4 螞蟻群聚最佳化演算法 56 4.4.1 系統基本架構 57 4.4.2 轉換法則 (Transition Rule) 58 4.4.3 局部更新法則 (Local Updating Rule) 60 4.4.4 整體更新法則 (Global Updating Rule) 60 4.4.5 費洛蒙參數限制 61 4.4.6 ACO演算流程 61 4.5 參數設定 63 第五章 量測實驗流程與結果 65 5.1 量測座標定位 65 5.2 DMIS後處理程式介面之開發 67 5.3 量測路徑規劃與流程 70 5.4 ACO最佳化路徑之求解過程與結果比較 83 5.5 加工誤差分析 86 第六章 結論與未來展望 92 6.1 結論 92 6.2 未來展望 93 參考文獻 94 附錄(一) 99 附錄(二) 109 作者簡介 118

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