首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Time-optimal interpolation for CNC machining along curved tool pathes with confined chord error
Authors:Chunming Yuan  Ke Zhang  Wei Fan
Institution:1. Key Laboratory of Mathematics Mechanization, Institute of Systems Science, Chinese Academy of Sciences, Beijing, 100190, China
Abstract:In this paper, two new interpolation algorithms for CNC machining along curved tool 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.
Keywords:Chord error  CNC interpolation  cubic PH curve  jerk  quadratic B-spline  time-optimalvelocity planning  velocity limit curve  
本文献已被 维普 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号