The application of differential geometry theory oriented to tool path generation in five-axis CNC machining
作者: Chen LiangjiLi Huiying
刊名: Journal of Applied Mathematics and Computation, 2019, Vol.3 (6)
来源数据库: Hill Publishing Group
DOI: 10.26855/jamc.2019.12.001
关键词: Differential geometry theoryComputer Numerically ControlFive-axis machiningTool path generation
原始语种摘要: Aiming at the problem of local curvature interference in tool path generation of five-axis CNC machining of complex free-form surface, this paper attempts to apply the theory of differential geometry to tool path generation. Based on the tangent plane at the Cutter Contacting point(CC point), the maximum principal curvature and minimum principal curvature of the tool surface at the CC point were calculated, and the normal curvature model in any direction on the tool surface was established. Similarly, for the workpiece surface, the normal curvature model in any direction on the workpiece surface was established by using the theory of maximum principal direction in differential geometry. According to the above two normal curvature mathematical models, the distance between adjacent cutting...
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  • curvature 曲率
  • machining 机械加工
  • oriented 定向的
  • generation 世代
  • geometry 几何形状
  • avoid 取消
  • application 申请
  • mathematical 数学的
  • tangent 切线
  • point