TIME-OPTIMAL INTERPOLATION FOR CNC MACHINING ALONG CURVED TOOL PATHES WITH CONFINED CHORD ERROR  

作　　者：YUAN Chunming ZHANG Ke FAN Wei 

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

出　　处：《Journal of Systems Science & Complexity》2013年第5期836-870,共35页系统科学与复杂性学报（英文版）

基　　金：supported by a National Key Basic Research Project of China under Grant No.2011CB302400;the National Natural Science Foundation of China under Grant No.60821002

摘　　要：In this paper, two new interpolation algorithms lot CNC machining along curve^l tom pathes are proposed： a time-optimal interpolation algorithm under chord error, feedrate, and tangential acceleration bounds, and a greedy interpolation algorithm under the chord error and tangential jerk bounds. The key idea is to reduce the chord error bound to a centripetal acceleration bound which leads to a velocity limit curve, called the chord error velocity limit curve. Then, the velocity planning is to find the proper velocity curve governed by the acceleration or jerk bounds ＇~under＂ the chord error velocity limit curve. For two types of simple tool pathes, explicit formulas for the velocity curve are given and the methods are implemented in commercial CNC controllers.

关 键 词：Chord error CNC interpolation cubic PH curve JERK quadratic B-spline time-optimalvelocity planning velocity limit curve. 

分 类 号：TG659[金属学及工艺—金属切削加工及机床]