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研究生:鄭文苑
研究生(外文):Wen-Yuan Jeng
論文名稱:側銑切削不可展直紋曲面之尺寸誤差與避免過切研究
論文名稱(外文):Study of Dimensional Error and Overcutting Avoidance for Undevelopable Ruled Surface Flank Milling
指導教授:蔡哲雄蔡哲雄引用關係
口試委員:徐瑞芳陳政順
口試日期:2012-07-31
學位類別:碩士
校院名稱:國立臺北科技大學
系所名稱:機電整合研究所
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:2012
畢業學年度:100
語文別:中文
論文頁數:61
中文關鍵詞:不可展直紋曲面五軸加工側銑切削過切避免
外文關鍵詞:Undevelopable ruled surface5-axis machiningflank millingOvercutting avoidance
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不可展直紋曲面由於形狀扭曲,常用於如離心式葉片曲面,因離心式葉片和葉片間在三維空間中會有Z方向的重疊,且葉片的二側面係屬直紋曲面(Ruled surface)設計,故葉片加工通常利用五軸加工機以五軸同動側銑的方式來加工,避免刀具與工件發生干涉及碰撞,側銑可提高材料移除率,並增加表面光平度,若應用端銑刀以五軸同動直接側銑不可展之葉片曲面將產生過切尺寸之誤差。本文針對不可展直紋曲面側銑切削提出切削規劃法,可以控制切削尺寸誤差量或避免過切情形發生。
本文首先提出一修正法,由本文的過切誤差估算法,將刀具移動方位做一適當的偏移量,以避免側銑過切的發生,增加側銑後產品的精度,本文方法透過Matlab程式撰寫不可展直紋曲面參數方程式資料,以本文提出之過切誤差法為輔,精確的計算出每個刀具路徑的刀端座標及刀具位置,並經由實例分析計算規劃出端銑刀五軸側銑不可展直紋曲面之刀具路徑,由Matlab獲得資料再經由CAD/CAM軟體模擬及在機台實際切削結果顯示,本文方法確能精確控制切削誤差或控制避免過切發生。本文方法可應用於葉輪之薄壁葉片切削加工,以控制葉片尺寸精度。


Undevelopable ruled surface shape distortions, so it is widely used in centrifugal blade surface, due to the centrifugal blades in the three-dimensional space there will be overlap of the Z direction, blades two sides is a ruled surface (Ruled surface) design, blade machining is usually 5-axis machining axis with fixed flank milling processing, to avoid the tool and work piece interference and collisions, flank milling can increase the material removal rate, and increase the surface smooth, if the application flank milling cutter axis with fixed direct flank milling of undevelopable ruled surface will cut the size of the error. Proposed cutting plan for non-developable ruled surface flank milling can control the cutting size of the error volume or to avoid the overcutting.
This paper proposed a modify method, Using over-cut error estimation method, the orientation of the tool movement to an appropriate offset to avoid the flank milling, increase the accuracy of the product in the flank milling, the proposed method through the MATLAB program write non-developable ruled surface parameters equation error method, supplemented by data over this paper, precise calculation of the tool end of each tool path coordinates and location of the tool, and analysis of planning and through the instance axis side of the end milling non-developable ruled surface of the tool path information obtained by MATLAB. The results showed that the actual cutting and then through the CAD / CAM software simulation machining, this method can make sure control the cutting error and avoid the cut occurred. This method can be applied to the thin wall of the impeller blades cutting in order to control the blade dimensional accuracy.


中文摘要 i
英文摘要 ii
誌謝 iv
目錄 v
表目錄 vii
圖目錄 viii
第一章 緒論 1
1.1 前言 ……1
1.2 文獻回顧 2
1.3 研究動機與目的 4
1.4 研究方法 5
1.5 論文架構 7
第二章 曲線及曲面參數方程式的建構 8
2.1 參數曲線建構概述 8
2.1.1 Hermite曲線 8
2.1.2 Bézier曲線 9
2.1.3 B-spline曲線 11
2.2 參數曲面建構概述 14
2.2.1 可展直紋曲面 14
2.2.2 不可展直紋曲面 16
2.2.3 B-spline曲面 17
2.3 曲面上的法線向量計算 18
第三章 側銑不可展曲面之路徑產生法及誤差估算 20
3.1 不可展之直紋曲面葉輪葉片簡介 20
3.2 等參數法 21
3.3 側銑誤差之產生 23
3.4 誤差估算 25
3.5 刀具位置修正法 26
3.6 分層銑削法 28
第四章 加工路徑規畫及程式化流程 31
4.1 側銑不可展直紋曲面之路徑規劃及程式化流程 31
4.1.1 Bézier曲線建構之直紋曲面路徑規劃及程式流程……..31
4.1.2 B-spline曲線建構之離心式葉片曲面路徑規劃及計算...34
第五章 模擬與驗證 36
5.1 模擬結果及討論 36
5.1.1 Bézier曲線建構之直紋曲面切削模擬 36
5.1.1.1不分層側銑模擬驗證 38
5.1.1.2分二層側銑模擬驗證 40
5.1.1.3分三層側銑模擬驗證 43
5.1.2離心式葉片切削模擬 45
5.1.2.1葉片不分層側銑模擬驗證 45
5.1.2.2葉片分二層側銑模擬驗證 47
5.1.2.3葉片分三層側銑模擬驗證 50
5.2 實驗設備、控制器與刀具 53
5.3 實際加工 55
5.3.1 實例一: Bézier曲線建構之直紋曲面側銑加工 55
第六章 結論與未來展望 58
6.1 結論 58
6.2 未來展望 59
參考文獻 60


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