中国机械工程2012，Vol.23Issue(4)：383-388,434,7.
NURBS曲线泰勒展开插补法的平稳性与改进研究
Research on Stability and Improvement of Taylor-Expansion-Based Approach for NURBS Curve Interpolation
摘要
Abstract
The first or the second order Taylor expansion is an usual approach for NURBS curve iterative interpolation.The approach always resulted in chord errors and consequent feedrate fluctuation and motion impact.Therefore,after analyzing the three reasons that cause Taylor-expansion-based interpolation errors,an improved approach was proposed to deriving accurate interpolation points by means of search neighborhood determination and binary interpolation search based on the first Taylor expansion.The proposed approach made full use of both origin accuracy of the first Taylor expansion and the local linear characteristics of NURBS curve.The interpolation test shows the average relative displacement error is decreased to 6.46×10-11.Moreover,the search times are no more than three in every interpolation period.Thus,feedrate fluctuation is greatly suppressed and high speed and high stability machining is realized.关键词
NURBS曲线/插补/泰勒展开/运动平稳性Key words
NURBS curve/interpolation/Taylor expansion/motion stability分类
信息技术与安全科学引用本文复制引用
罗福源,游有鹏,尹涓..NURBS曲线泰勒展开插补法的平稳性与改进研究[J].中国机械工程,2012,23(4):383-388,434,7.基金项目
国家自然科学基金资助项目(50975144) （50975144）
南京航空航天大学基本科研业务费资助项目(NJ2010030) （NJ2010030）
