An interpolation method based on adaptive smooth feedrate scheduling and parameter increment compensation for NURBS curve. (September 2022) - Xu, Bo
Abstract: Compared with the traditional line/circle interpolation, non-uniform rational B-splines (NURBS) interpolation has more efficient and high-quality advantages in free-form curve/surface modeling. In order to obtain high efficiency and stable interpolation feed motion, a NURBS interpolation method with adaptive smoothing federate scheduling and parameter increment compensation is studied. Firstly, according to the curvature constraint, the adaptive feedrate is obtained and the segmentation of the NURBS curve is completed. Then, in order to avoid the problem of feeding speed overrun, the improved S-shape acceleration/deceleration control is adopted to adjust the jerk. The adjacent segments meeting the combined planning conditions are treated comprehensively. Secondly, aiming at the problem of velocity error in interpolation point parameter calculation, an interpolation parameter calculation method based on parameter increment compensation is proposed to reduce the velocity fluctuation and improve the interpolation point parameter calculation accuracy. Finally, the effectiveness of the proposed method is verified by simulation and experiment. The results show that the algorithm is effective. Graphical abstract: Highlights: An adaptive feedrate scheduling based on improved S-shape acc/dec is given. An interpolation method with parameter increment compensation is presented. Higher precision for variable curvature curve interpolation. Higher actual machining accuracy for arc transition edge.