计算机集成制造系统 ›› 2019, Vol. 25 ›› Issue (第5): 1112-1118.DOI: 10.13196/j.cims.2019.05.009

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五轴加工奇异问题分析与非线性误差控制

李冬冬1,张为民1,2,隋浩楠1,金希1,尚腾飞1,Jürgen Fleischer2,3   

  1. 1.同济大学机械与能源工程学院
    2.同济大学先进制造技术中心AMTC
    3.卡尔斯鲁厄理工学院生产技术研究所
  • 出版日期:2019-05-31 发布日期:2019-05-31
  • 基金资助:
    国家重点研发计划资助项目(2017YFE0101400)。

Singularity analysis and non-linear error control of five-axis machining

  • Online:2019-05-31 Published:2019-05-31
  • Supported by:
    Project supported by the National Key R&D Program,China(No.2017YFE0101400).

摘要: 在计算机辅助制造软件中进行五轴加工编程时,后置处理反求旋转轴角度存在无解,即五轴加工的奇异问题,具体表现为旋转轴运动产生突变、非线性误差增大、加工质量下降。以A-C型五轴机床为例,通过研究刀轴的运动过程,证明C轴的转角是奇异问题产生的原因。基于该结论提出一种新的检测奇异刀位点的刀轴分量k值遍历法和基于刀轴矢量插值与样条曲线拟合的非线性误差控制方案。通过S样件的五轴加工实验表明,相比于线性插值,所提方案在奇异区域内误差显著减小,曲面更加光滑,加工效率有所提高。

关键词: 五轴加工, 奇异问题, 刀轴矢量, 非线性误差, 样条插补

Abstract: Tool orientation is very complicated for the 5-axis machining.At the singularity point of a 5-axis machine,there is no solution to the inverse kinematics when the post-processing is performed by CAM software,which leads to acute change of rotation axis.As a result,the non-linear error increases while the machining quality decreases.By taking a Table (C-axis)-tilting (A-axis) 5-axis machine as an example,the C-axis rotation was proved to be the reason of the singularity problem by studying the tool axis movement.Then a novel k-value method of cutter location data was proposed for detecting whether the tool axis vector is located in singular region.A scheme based on tool axis vector planar interpolation and spline curve fitting to control non-linear error was also proposed.Through the S surface test,the proposed method was demonstrated much better than the linear interpolation.Experiment results showed that the non-linear errors in singularity area declined significantly,the surface was smoother and the machining accuracy and efficiency were also improved.

Key words: five-axis machining, singularity, tool axis vector, non-linear error, spline interpolation

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