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

Authors: Wang Guirong; Wang Qi; Cui Xiaohong; Xu Suan; Zhang Shiwei

Addresses: China Jiliang University, Hangzhou 310018, China ' China Jiliang University, Hangzhou 310018, China ' China Jiliang University, Hangzhou 310018, China ' China Jiliang University, Hangzhou 310018, China ' China Jiliang University, Hangzhou 310018, China

Abstract: 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.

Keywords: S-curve ACC/DEC; interference pre-treatment; piecewise curve; interference points; feed-rate scheduling; CNC machine tools; interpolation algorithm; chord error; feed-rate smoothing; acceleration constraint.

DOI: 10.1504/IJCAT.2021.10043121

International Journal of Computer Applications in Technology, 2021 Vol.66 No.1, pp.51 - 62

Received: 11 Mar 2020
Accepted: 12 Nov 2020

Published online: 11 Dec 2021 *

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