摘要
現今業界在模具加工切削時，通常都是使用CAD/CAM軟體直接取得刀具路徑，但取得之刀具路徑常會因為一些誤差控制和其他因素使得刀具路徑分佈不均造成表面有切削痕跡。 本論文研究的目的為產生平滑曲線軌跡，並考慮其輪廓誤差且平滑的連續線段，同時在高速下加工；在本文中利用平滑演算法將平滑曲線路徑落點最佳化，並藉由MATLAB 之動態模擬系統模擬其動態行為輪廓誤差，且與其CNC曲線插補動態行為輪廓誤差比較結果得知，在曲率半徑較大或曲率半徑較小的路徑，平滑曲線演算法都能提高其加工精度，而CNC曲線插補在曲率半徑較小的路徑則會產生極大的輪廓誤差，並經由機台實驗結果得知，在進給速率F=1500 mm/min條件下，平滑曲線演算法在曲率半徑較小的路徑軌跡最大輪廓誤差為0.0428 mm，而CNC曲線插補法軌跡最大輪廓誤差為0.1433 mm，其平滑曲線精度優於CNC曲線插補。 在不同進給速率條件下，連續彎曲路徑之平滑曲線最大輪廓誤差皆優於CNC曲線插補，其取F=1000mm/min 條件下最大輪廓誤差值分別為0.0225mm和0.0246mm，而CNC曲線插補平均輪廓誤差則優於平滑曲線，其平均值分別為0.0024mm和0.0041mm；而在相同進給速率下，曲率半徑較小路徑之最大輪廓誤差趨勢與連續彎曲路徑相同，但在進給速率F=500mm/min條件下，兩者的平均輪廓誤差值皆相同，其值為0.0010mm。 藉由實驗結果得知，不管在低速或高速情形下，平滑曲線演算法之最大輪廓誤差都能優於CNC曲線插補法，因此可以證明在進給速率由低速到高速下，平滑曲線演算法都能得到較佳的精度。
並列摘要
Today the industry at the time of mold processing cutting, usually using CAD / CAM software direct access to the tool path. However, some error control and other factors make tool path with uneven distribution of surface cutting marks. The purpose of this thesis is to produce a smooth curved trajectory at high speed machining, and takes its contour error and smooth continuous line. The smoothing algorithm will be a smooth curve path placement optimization by MATLAB simulation of the dynamic behavior system. This result compares with CNC contour error curve interpolation error of the dynamic behavior of the contour. In the radius of curvature radius of curvature smaller or larger path, a smooth curve algorithm can improve the precision. CNC interpolation curve radius of curvature smaller path will have a great contour error, and that through the machine results in lower feed rate F = 1500 mm / min conditions. Smooth curve radius of curvature than the algorithm small outline path trajectory maximum error of 0.0428 mm. CNC interpolation curve track maximum contour error is 0.1433 mm. Hence，a smooth curve trajectory is better . than a smooth curve precision CNC curve interpolation. Under different conditions of feed rate, a smooth curved trajectory of the maximum contour error paths are better than CNC curve interpolation. As a result, the maximum contour error values which take F = 1000mm / min conditions are 0.0225mm and 0.0246mm, separately. However, the average contour error of CNC curve interpolation is better than a smooth curve trajectory. These errors are 0.0024mm and 0.0041mm, separately. While at the same low feed rate, the maximum contour error trends smaller radius of curvature of a continuous curved path. For example, the feed rate under F = 500mm/min conditions, the average contour error values of both are the same, the value of 0.0010mm. With that result, regardless of the circumstances at low or high speed, maximum contour error can be better than a smooth curve algorithms of CNC curve interpolation method. It is obvious. We can get better accuracy to use a smooth curve . algorithm.
參考文獻
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