Research on Acceleration/Deceleration in NURBS curve interpolation

A non-uniform rational B-spline (NURBS) parametric curve interpolation and S-shape acceleration/deceleration (ACC/DEC) for CNC machine tool were studied. In the proposed algorithm, the commanded velocity is maintained at most of the time and adaptively reduced in large curvature areas to meet the demand of the machining accuracy requirement, while at the same time, a S-shape look ahead algorithm is proposed to limit the acceleration and jerk values within the machine's capabilities during the whole interpolation process. It reduces mechanical shock to the machine tools. The real time performance of this interpolator is also measured to demonstrate its practical application. A NURBS curve interpolation experiments is provided to verify the feasibility and advantages of the proposed algorithm.