Approximation Method of Tool Path Oriented to Five-axis CNC Machining with NURBS Curve

Chen Liangji, Li Huiying

For the case of the advancement of Non-Uniform Rational B-Spline (NURBS) curve to represent a complex freeform shape, the NURBS method has been applied in Computer Numerical Control (CNC) machine tools to express the tool path curve. In order to achieve higher approximation accuracy in five-axis CNC machining, the approximation principle was firstly proposed based on the time division and the tool path curve was approximated by a group of chord lines. To avoid the federate fluctuation, the federate correction method is also proposed. The relation methods for realizing the approximation of tool path curve was also presented in this paper. The given example and the cutting result show that the proposed methods are feasibility of being applied to CNC trajectory approximation to achieve high-speed and high-accuracy multi-axis machining.

https://dx.doi.org/10.31873/IJEAS.6.9.08