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研究生: 黃江津
論文名稱: 袋形工件刀具路徑產生:使用著色法
Generation of Milling Tool Paths for Pockets with Paint-brush Method
指導教授: 屠名正
學位類別: 碩士
Master
系所名稱: 工業教育學系
Department of Industrial Education
畢業學年度: 85
語文別: 中文
中文關鍵詞: 刀具路徑袋形工件偏置電腦輔助設計電腦輔助製造過切
英文關鍵詞: tool path, pocket, offset, CAD, CAM, overcut
論文種類: 學術論文
相關次數: 點閱:142下載:0
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  • 本論文的研究目的是以「著色演繹法」對由直線段所構成的袋形銑削自動產生刀具路徑。所提出的「著色演繹法」,探討在執行2D銑床挖槽狀況下所遭遇問題及其解決方法,藉以產生數值控制銑床的刀具路徑,以因應電腦輔助設計及電腦輔助製造系統發展之需求。
    初偏置路徑發生自交 (collision) 時就會發生過切現象,在過切的檢驗方法中較為著名的是 Hansen 的干涉指數 (interference index)及 Tiller 從整個偏置路徑去尋找不過切迴圈。本研究使用「著色法」將線段標記,區分出「不相交線段」、「可能相交線段」和「相交線段」。在封閉的初偏置路徑中首先搜尋被標記為「可能相交的線段」或「相交線段」再從線段起點依次過濾出相交線段,此相交線段和前面的「可能相交的線段」或「相交線段」之間的圖元串列為一封閉區間無卡槽 (gouge) 的加工區。
    在由此方法可節省每一輪廓線段逐一交互計算的時間。假設總共有N個線段,若用兩兩相交法檢驗卡槽,則需要計算N×(N-1),若使用本研究的方法,測試到α個標記線段,則需要計算a×(N-1)次,與前者相較可減少(N-α)×(N-1),當測試到的標記線段α數值愈小,則功效愈高。

    This study aims to explore the generation methods of milling tool paths for pockets, which constitute of straight line segments. Paint-brush algorithm is used to solve problems encountered in various kinds of grooving for milling machines. The purpose of the paint-brush algorithm is to generate tool paths for computer numerical-controlled milling machines, so as to meet the demands in CAD and CAM.
    Overcutting occurs when collision of raw offset paths happens. There are many well-konwn methods for examining overcutting, with include Hansen's interference index and Tiller's method of locating non-overcutting loops in the whole offset paths. In this study, "paint-brush method" marks certain line segments, which are divided into "non-intersecting line segments", "possible intersecting line segments" and " intersecting line segments". Firstly, marked "possible intersecting segments" and "intersecting segments" are searched for in enclosed raw offset paths, and then from the starting point onwards, intersecting line segments are identified. Those intersecting line segments formed with the entities between the "possible intersecting segments" and "intersecting segments" an enclosed machining zone with no gouge in between.
    This method reduces the time spent on calculating for each profile line segment. If there are N number of line segments, one will need to calculate N×(N-1) times in using the pairwise intersection method. By using the method proposed in this study, however, one needs only to calculate α×(N-1) times, where a stands for the number of marked line segments. In other words, this reduces the times of calculation by (N-α) ×(N-1) . The smaller the number of α (the number of marked line segments) , the better the effects of the paint-brush method.

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