[1]刘 洋,徐 福,李家磊,等.五轴数控机床动态几何误差逆向补偿方法[J].机械与电子,2026,44(04):81-89.
　LIU Yang,XU Fu,LI Jialei,et al.Inverse Fompensation Strategy for Dynamic Geometric Errors of Five-axis CNC Machine Tools[J].Machinery & Electronics,2026,44(04):81-89.
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五轴数控机床动态几何误差逆向补偿方法()
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《机械与电子》[ISSN:1001-2257/CN:52-1052/TH]

卷:
44
期数:
2026年04期
页码:
81-89
栏目:
智能制造
出版日期:
2026-04-27

文章信息/Info

Title:
Inverse Fompensation Strategy for Dynamic Geometric Errors of Five-axis CNC Machine Tools
文章编号:
1001-2257 ( 2026 ) 04-0081-09
作者:
刘 洋; 徐 福; 李家磊; 张重阳; 黄雪峰
中国工程物理研究院机械制造工艺研究所,四川 绵阳 610200
Author(s):
LIU Yang ;  XU Fu ;  LI Jialei ;  ZHANG Chongyang ;  HUANG Xuefeng
( Institute of Machinery Manufacturing Technology , China Academy of Engineering Physics , Mianyang 610200 , China )
关键词:
动态几何误差; 逆向补偿方法; 五轴数控机床; 旋转轴非正交
Keywords:
dynamic geometric errors ;  inverse compensation method ;  five-axis CNC machine tools ;  non-orthogonal rotary axes
分类号:
TG659
文献标志码:
A
摘要:
提出了一种实时动态几何误差补偿策略,可以以明确简洁的解析表达式对五轴数控机床的所有几何误差项进行补偿。首先,该方法能够求解得到补偿运动指令的最优解,避免了现有雅可比矩阵和敏感性分析方法导致的次优解问题。其次,该方法建立了补偿运动指令的解析解,通过误差变换矩阵的交换律及平移变换矩阵的分解率实现了求解过程的简化。最后,该方法能够实现补偿运动指令的通用化,尤其适用于旋转轴非正交的五轴数控机床。仿真结果证明了该方法的有效性和通用性,试验结果证明了该方法能够实现加工精度的大幅度提升。
Abstract:
This paper proposes a real time dynamic error compensation strategy , which compensates for all geometric error items of five axis CNC machine tools using explicit and concise analytical expressions.First , the strategy can obtain the optimal solution for compensated motion commands , avoiding the suboptimal solutions resulted from existing Jacobian matrix and sensitive analysis methods. Second , it establishes analytical solutions for compensated motion commands , simplifying the solution process through the commutative property of error transformation matrices and the decomposition property of translation matrices.Finally , the strategy enables the generalization of compensated motion commands , especially suitable for five-axis CNC machine tools with non-orthogonal rotary axes.Simulation results demonstrate the effectiveness and the generality of the proposed strategy , while experimental results confirm that the manufacturing precision can be largely improved by adopting the proposed strategy.

参考文献/References:

[ 1 ] JIA Z Y , MA J W , SONG D N , et al.A review of contouring-error reduction method in multi-axis CNC machining [ J ] .International journal of machine tools and manufacture , 2018 , 125 : 34-54.

[ 2 ] ZHANG Z , JIANG F , LUO M , et al.Geometric error measuring , modeling , and compensation for CNC machine tools : A review [ J ] .Chinese journal of aeronautics , 2024 , 37 : 163-198.
[ 3 ] ZHONG L , BI Q Z , HUANG N D , et al.Dynamic accuracy evaluation for five-axis machine tools using S trajectory deviation based on R-test measurement[ J ] .International journal of machine tools and manufacture , 2018 , 125 : 20-33.
[ 4 ] BI Q Z , HUANG N D , SUN C , et al.Identification and compensation of geometric errors of rotary axes on five-axis machine by on the machine measurement [ J ] .International journal of machine tools and manufacture , 2015 , 89 : 182-191.
[ 5 ] ZHU S W , DING G F , QIN S F , et al.Integrated geometric error modeling , identification and compensation of CNC machine tools [ J ] .International journal of machine tools and manufacture , 2012 , 52 ( 1 ): 24-29.
[ 6 ] XIANG S T , ALTINTAS Y.Modeling and compensation of volumetric errors for five-axis machine tools [ J ] .International journal of machine tools and manufacture , 2016 , 101 : 65-78.
[ 7 ] DING S , HUANG X D , YU C J , et al.Actual inverse kinematics for position independent and position-dependent geometric error compensation of five-axis machine tools [ J ] .International journal of machine tools and manufacture , 2016 , 111 : 55-62.
[ 8 ] XIA C J , WANG S L , WANG S B , et al.Geometric error identification and compensation for rotary worktable of gear profile grinding machines based on single axis motion measurement and actual inverse kinematic model [ J ] .Mechanism and machine theory , 2021 , 155 : 104042.
[ 9 ] DING S , ZHANG X , CHEN Z W , et al.Position-independent geometric error compensation of a non-or- thogonal five-axis machine tool using a simplified algebraic algorithm [ J ] .Journal of engineering manufacture , 2024 , 238 ( 11 ): 1634-1647.

备注/Memo

备注/Memo:
收稿日期: 2025-11-20
基金项目:国家自然科学基 金资助项目( 52205543 );四川省自 然科学基金资助 项目( 24NSFSC0989 );国 家重点研发计划资助项目( 2023YFB4606202 )
作者简介:刘 洋 ( 1993- ),男,河北东光人,高级工程师,研究方向为精密加工及振动控制,通信作者, E-mail : y.liu@mail.nwpu.edu.cn。
更新日期/Last Update: 2026-08-21