Research on freeform surface design and toolpath generation technology

computer-aided design/computer-aided manufacturing;  spatial displacement;  D-NURBS;  Toolpaths

A method of spatial displacement in kinematics is proposed to construct a CAD model of the scanned surface of the tool in CNC machining based on the deformable NURBS (D-NURBS) free curve, so that the original geometric curve surface has the characteristics of a physical surface, which allows designers to use many force-based tools to interactively shape and directly design the profile in a natural and predictable way. The resulting surface is easy to meet the motion and dynamics limitations of the special CNC machining machine used, and at the same time obtains a new method of toolpath design for freeform CNC machining, which combines kinematics, computer-aided geometric design and CAD/CAM technology to provide a basis for parallel geometry design and manufacturing.