An interpolation algorithm of B-spline curve based on S-curve acceleration/deceleration with interference pre-treatment

The B-spline curve interpolation algorithm based on S-curve acceleration/deceleration (ACC/DEC) with interference pre-treatment is proposed to achieve a smooth transition of feed-rate, and to reduce the impact with acceleration mutation in Computer Numerical Control (CNC) machining. According to the demand of chord error, the algorithm divides a B-spline curve by velocity cusps. The interference points of the whole curve can be found out by using the S-curve ACC/DEC calculation for the velocity cusps of the whole curve from the forward and reverse directions. Then, the feed-rate of interference points is re-determined to avoid jerk overrun on the curve segments between mutual interference points, so as to improve the processing stability of machine tools. The simulation and experiment results demonstrate that the algorithm can obtain the smooth transition of feed-rate and acceleration in CNC machining, and ensured that the jerk can meet the ACC/DEC of system.