臺灣博碩士論文加值系統

目前在CAD的設計大都是以自由曲線與曲面(NURBS、B-spline、Bezier曲線與曲面)來做為設計的依據。部份CNC控制器的NC-code如G06.2、BSPLINE指令已經可以承接這些數學參數式。使用B-spline指令可以解決線性插值法程式過多與因刀具執行單節直線切削指令結束時的減速動作，在加工路徑上造成切點的不連續的問題。本文以Matlab建立B-spline數學模型，對B-spline曲面做刀具切削路徑規劃，主要是將等參數法所求得的CL-data轉換成相對應B-spline的NC-code應用於三軸加工。然而大部分對於B-spline指令的處理僅限於三軸，很少是針對於五軸B-spline的處理。因此本文應用Siemens 840D控制器新式NC指令(ORICURVE)五軸加工的表示方法，對五軸側銑B-spline曲面做路徑規畫及加工程式設計，並於CNC五軸加工機台(Siemens 840D控制器)實作驗證。

The Free-form curves and surfaces, such as NURBS (Non Uniform Rational B-Spline), B-spline, or Bezier, can be treated by most of CAD systems. Some NC controllers can handle NC data written in NURBS interpolated formula such as BSPLINE, NC code from Siemens controller, and G06.2 for Fanuc controller. The use of NURBS expression enables us to decrease the amount of NC data, to eliminate the error due to the linear interpolation and to get rid of rapid acceleration and deceleration. The paper using MATLAB to create B-spline mathematical surface model for B-spline tool path computation. According to CL-data (Cutter Location data) calculated from iso-parametric method, we could obtain corresponding data of B-spline NC code. However, less CAM systems can create NURBS interpolated NC data for 5-axis controlled machine tools. Therefore, this article also uses the new 5-axis B-spline NC-code, ORICURVE, on SIEMENS controller for 5-axis tool path computation and machining tests.

中文摘要 i
英文摘要 ii
誌謝 iii
目錄 iv
表目錄 vi
圖目錄 vii
第一章 緒論 1
1.1前言 1
1.2研究目的與動機 1
1.3研究方法 5
1.4論文架構 7
第二章 相關文獻回顧 8
2.1 NURBS曲線之發展 8
2.2曲線壓縮的方式 9
2.3 NURBS插補技術 10
2.4五軸加工 12
2.4.1五軸加工機種類 12
2.4.2五軸加工後處理 14
2.4.3五軸Bspline後處理 16
第三章 B-spline刀具路徑的產生與理論推導 19
3.1曲線參數方程式 19
3.1.1 Hermite 曲線 19
3.1.2 Bezier曲線 20
3.1.3 B-spline曲線 22
3.2參數式曲面 26
3.2.1直纹曲面(Ruled surface) 26
3.2.2 Bspline曲面 28
3.3曲線擬合 29
3.4誤差分析 31
3.5路徑規劃方式 33
3.5.1三軸刀具路徑產生 33
3.5.2五軸刀具路徑產生 36
第四章 實際加工結果討論 38
4.1切削加工 38
4.1.1三軸切削加工 38
4.1.2五軸切削加工 44
4.2 BSPLINE指令說明 50
4.2.1三軸Bspline指令說明 50
4.2.2五軸Bspline指令說明 51
4.3結果分析 52
第五章 結論與未來展望 59
5.1 結論 59
5.2 未來展望 60
參考文獻 61

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