GEOMETRIC ERROR CONTROL IN THE PARABOLA-BLENDING LINEAR INTERPOLATOR  

作　　者：LI Hongbo ZHANG Lixian 

机构地区：[1]Key Laboratory of Mathematics Mechanization,Academy of Mathematics and Systems Science,Chinese Academy of Sciences

出　　处：《Journal of Systems Science & Complexity》2013年第5期777-798,共22页系统科学与复杂性学报（英文版）

基　　金：supported partially by the National Natural Science Foundation of China under Grant Nos.10871195 and 60821002/F02;National Center for Mathematics and Interdisciplinary Sciences of Chinese Academy of Sciences

摘　　要：This paper considers geometric error control in the parabola-blending linear interpolation method(Zhang,et al.,2011).Classical model of chord error by approximation with contact circle on the parabolas leads to incorrect result.By computing the geometric error directly without accumulating the approximation error and chord error,the authors realize correct geometric error control by establishing inequality constraints on the accelerations of the motion.

关 键 词：Chord error GO1 code interpolation geometric error NC machining parabola-blendinginterpolation. 

分 类 号：O231[理学—运筹学与控制论]