臺灣博碩士論文加值系統

摘要

本文主要的目的是利用五軸刀具運動時的掃掠曲面，和工件的網格來做干涉判斷。利用干涉後求得的交點，依重建網格的法則，重建出新的網格面。最後將工件及刀具的保留面結合，則可得到切削後的成品。
本文在做網格交點判斷時可分為三個步驟，初步干涉判斷、包覆球干涉判斷和計算網格交點。經過初步和包覆球的干涉判斷後，可以快速將未干涉的網格排除。利用交點來建立網格上的線段，再依提出建立廻圈線段的方法來建立廻圈線段。將網格轉換成由廻圈線段所組成的資料後，在工件網格面重建時判別被刀具面所去除的廻圈線段；而在刀具網格面重建時則是判別被工件面所去除的廻圈線段。最後重建保留下來的廻圈線段，並決定工件和刀具的網格保留面。
因此模擬切削的結果為重建後的網格面和工件及刀具保留面所組合而成。

The main purpose of this study is to apply the interference detection between the swept surface of five-axis tool motions and the mesh of work piece. We can utilize the point of intersection to rebuild out new mesh after interference and according to rebuilding rule of the mesh. Finally, combine the reserving surface of work piece and cutter and get the product after cutting.
The implementation of the interference point of mesh detection in the study can be divided into three step, initial interference detection, bounding sphere interference detection and calculating interference point of mesh. After initial interference and bounding sphere interference detection, we can rapidly exclude the mesh which is without interference. After calculating interference point, we can use these points to build the line on the mesh, and establish loop according to the method of building the line loop. After changing the mesh into the data of line loop, the loop is eliminated by surface of cutter that decides on rebuilding the surface of work piece, and then eliminates line loop by surface of work piece while rebuilding the surface of cutter. Finally, rebuild the remained line loop, and decide the reserving surfaces of work piece and cutter.
So the result of cutting simulation is combined with the rebuilding mesh and the reserving surface of work piece and cutter.

摘要 I
Abstract II
目錄 III
圖目錄 V
第一章 序論 1
1-1 研究動機與目的 1
1-2 文獻回顧 2
1-2-1 區域分割法 3
1-2-2 掃掠曲面 4
1-2-3 三角網格干涉判斷 4
1-2-4 其它 5
1-3 論文架構 5
第二章 基本原理 6
2-1 五軸刀具運動 6
2-2 刀具的幾何定義 8
2-3 刀具的掃出輪廓 11
2-3-1 環形面 11
2-3-2 下圓錐面 12
2-3-3 上圓錐面 13
2-4 建立刀具包絡網格面 14
第三章 切削模擬方法 17
3-1 三角網格交點判斷 17
3-1-1 初步干涉判斷 17
3-1-2 包覆球干涉判斷 19
3-1-3 計算網格交點 21
3-2 網格重建 25
3-2-1 網格線段建立 26
3-2-2 建立廻圈線段 32
3-2-3 判別廻圈線段保留 34
3-2-4 重建廻圈線段網格 36
3-3 工件網格組合 41
3-3-1 判別網格保留面 42
3-3-2 網格縮減 44
第四章 程式設計與執行結果 46
4-1 程式介紹 47
4-2 工件切削 48
第五章 結論與建議 58
參考文獻 60

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