Abstract: The application conditions and characteristics are analyzed to invariable and variable groove angle. According to analytic geometry and linear algebra, a general mathematical model for pipe intersections is established, and a specific algorithm to determine the groove angle for NC cutting is proposed so as to provide a reliable data source for the implementation of the simulation for intersection curve cutting. A simulation program is written by VC++ and OpenGL, and the simulation for the cutting curve with variable groove angle is implemented. The results indicate that the main pipe and the branch pipe could be assembled precisely and the welding groove exactly corresponding to the API specification.

Key words: computer application, intersection curve cutting, track simulation, groove angle