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• 第五届中国图学大会专栏 • 上一篇    下一篇

基于四点偏置法的非可展直纹面侧铣刀位计算

  

  • 出版日期:2015-12-31 发布日期:2016-01-15

Cutter Location Calculation Based on the Four Offset Method of Flank#br# Milling for Undevelopable Ruled Surface

  • Online:2015-12-31 Published:2016-01-15

摘要: 针对非可展直纹面五轴侧铣加工的问题,分析了非可展直纹面几何特点,根据等距
映射下的极差不变性,提出了一种计算非可展直纹面叶片五轴侧铣刀位数据的新方法。以刀具包
络面与设计曲面之间的整体误差为优化目标,建立了圆柱铣刀侧铣非可展直纹面的刀位计算方
法,运用四点偏置法确定初始刀位,采用最小二乘法对初始刀位进行优化,建立刀轴矢量偏转模
型进一步修正刀位以减小过切误差。通过实例计算分析,表明该方法可以在一定程度上减小加工
误差。

关键词: 非可展直纹面, 五轴侧铣, 四点偏置法, 刀位计算

Abstract: The existing method of five-axis flank milling to machine undevelopable ruled surface is
researched, through the analysis of the geometric characteristics of the undevelopable ruled surface, a
new method is proposed to calculate the cutter location data of five-axis flank milling with
undevelopable ruled surface impeller. The global error optimization between the tool envelope surface
and the design surfaces is the goal, and a method to calculate the cylindrical cutter location when flank
milling the undevelopable ruled surface is established, putting forward a four-point method to
determine the initial cutter location, optimizing it using the least squares method, establishing cutter
correction model to further optimize the cutter location to reduce the over-cut error. By analyzing the
example, it is proved that processing error can be reduced to some extent through this method.

Key words: undevelopable ruled surface, 5-axis flank milling, offset method of four points, cutter
location calculation