An adaptive generation method for free curve trajectory based on NURBS

作     者：朱昊 刘京南 杨安康 汪木兰 Zhu Hao;Liu Jingnan;Yang Ankang;Wang Mulan

作者机构：东南大学自动化学院南京210096 南京工程学院先进数控技术江苏省重点实验室南京211167 

基　　金：The Doctoral Fund of Ministry of Education of China(No.20090092110052) the Natural Science Foundation of Higher Education Institutions of Jiangsu Province(No.12KJA460002) College Industrialization Project of Jiangsu Province(No.JHB2012-21) 

出 版 物：《Journal of Southeast University(English Edition)》 (东南大学学报（英文版）)

年 卷 期：2014年第30卷第3期

页      码：296-301页

摘      要：To realize the high precision and real-time interpolation of the NURBS （non-uniform rational B-spline） curve, a kinetic model based on the modified sigmoid function is proposed. The constraints of maximum feed rate, chord error, curvature radius and interpolator cycle are discussed. This kinetic model reduces the cubic polynomial S-shape model and the trigonometry function S-shape model from 15 sections into 3 sections under the precondition of jerk, acceleration and feedrate continuity. Then an optimized Adams algorithm using the difference quotient to replace the derivative is presented to calculate the interpolator cycle parameters. The higher-order derivation in the Taylor expansion algorithm can be avoided by this algorithm. Finally, the simplified design is analyzed by reducing the times of computing the low-degree zero-value B-spline basis function and the simplified De Boor-Cox recursive algorithm is proposed. The simulation analysis indicates that by these algorithms, the feed rate is effectively controlled according to tool path. The calculated amount is decreased and the calculated speed is increased while the machining precision is ensured. The experimental results show that the target parameter can be correctly calculated and these algorithms can be applied to actual systems.

主 题 词：free curve NURBS (non-uniform rational B-spline) sigmoid function Adams algorithm 

学科分类：08[工学] 081101[081101] 0811[工学-水利类] 081102[081102] 

核心收录：

D　O　I：10.3969/j.issn.1003-7985.2014.03.007

馆 藏 号：203130443...