NURBS曲线S型加减速反向修正插补算法研究  

Research on the algorithm of NURBS curve reverse correction interpolation with S-type acceleration and deceleration control

作　　者：张娜[1] 李娟霞[1] 王欢 ZHANG Na;LI Juanxia;WANG Huan(College of Physics and Mechanical&Electrical Engineering,Hexi University,Zhangye 734000,CHN;Googol Technology(Shenzhen)Limited,Shenzhen 518057,CHN)

机构地区：[1]河西学院物理与机电工程学院,甘肃张掖734000 [2]固高科技(深圳)有限公司,广东深圳518057

出　　处：《制造技术与机床》2019年第9期162-167,共6页Manufacturing Technology & Machine Tool

基　　金：甘肃省教育科学规划“十三五”2018年度高校与职业院校课题(GS[2018]GHBBK055);2017年度河西学院青年教师基金项目(QN2017013);2017年河西学院教学研究项目(HXXYJY-2017-025)

摘　　要：为了克服传统算法中减速点难以确定,轮廓误差较大的缺点,提出了反向修正插补算法。将分段后的曲线逐段取出,利用S型加减速算法进行速度规划,并对速度敏感点进行校正,在速度校验点处反向提取存储值进行正向插补,并根据速度波动率构造插补函数,基于Newton-Leibniz公式计算插补参数。仿真实验表明该方法在速度敏感点处速度、加速度、加加速度不超限,使插补误差保持在规定的范围之内,保证了加工质量。In order to overcome the shortcomings of traditional algorithm,it is difficult to determine the deceleration point and large contour error,a reverse correction interpolation algorithm is proposed.The segmented curves are extracted by stages,and speed planning is carried out by using S acceleration and deceleration algorithm,and the speed sensitive points are corrected.At the Speed sensitive point,the storage value is extracted by reverse for forward interpolation,and the interpolation function is constructed according to the velocity fluctuation,and the interpolation parameters are calculated based on Newton-Leibniz formula.The simulation results show that the speed,acceleration and jerk at the speed sensitive point are not exceeded,the interpolation error is kept within the prescribed range,and the machining quality is guaranteed.

关 键 词：NURBS曲线 插补算法 S型加减速 反向修正 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] TP391[自动化与计算机技术—控制科学与工程]