Jerk-Continuous Feedrate Optimization Method for NURBS Interpolation

Feedrate scheduling is one of the most critical technologies in CNC machining, requiring a reasonable balance between efficiency and quality. This paper proposes jerk-continuous feedrate smoothing (JCFS) method to generate low-vibration smooth profile for non-uniform rational B-spline (NURBS) interpolation. Firstly, segmentation concept introduced subdivide entire trajectory into segments accommodate curvature changes NURBS curve, accelerating acceleration/deceleration process. Secondly, length threshold-based curve segment classification proposed overcome complexity traditional acceleration deceleration algorithms. The are divided long, medium, short types, threshold calculation model derived. Next, avoid computational engineering applications, established first time calculate actual maximum different types segments. Finally, horizontal-8-shaped butterfly-shaped curves simulated analyzed. simulation results indicate that machining quality steadily improved while several key indicators remain within given tolerances. Compared with method, reduces interpolation by 17.2% 22.8%, respectively, demonstrating feasibility effectiveness method.