Abstract: It introduces the working principle,system structure,fitting interpolation algorithm and simulation analysis of a NC cutting device for intersecting line curves,designs a NC cutting device for intersecting line K-groove with X、Y、Z、U、W and 5-axis linkage,controls the running trajectory and cutting angle of the cutting torch through the five-axis linkage interpolation algorithm,and establishes a mathematical model for controlling the cutting trajectory of intersecting line K-groove by combining Newton iteration method and the principle of spatial analytic geometry.

Key words: intersecting line curve, five-axis linkage, Newton iteration method