|本期目录/Table of Contents|

[1]赵烨炜,孙 豪,陈绪兵,等.双摇篮五轴机床位置无关几何误差辨识 [J].武汉工程大学学报,2026,48(01):95-102.[doi:10.19843/j.cnki.CN42-1779/TQ.202412025]
　ZHAO Yewei,SUN Hao,CHEN Xubing,et al.Identification of position-independent geometric errors for five-axis machine tools with dual rotary tables [J].Journal of Wuhan Institute of Technology,2026,48(01):95-102.[doi:10.19843/j.cnki.CN42-1779/TQ.202412025]
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双摇篮五轴机床位置无关几何误差辨识
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《武汉工程大学学报》[ISSN:1674-2869/CN:42-1779/TQ]

卷:
48
期数:
2026年01期
页码:
95-102
栏目:
智能制造
出版日期:
2026-02-28

文章信息/Info

Title:
Identification of position-independent geometric errors for five-axis machine tools with dual rotary tables
文章编号:
1674 - 2869（2026）01 - 0095 - 08
作者:
赵烨炜1; 2; 3; 孙 豪3; 陈绪兵1; 2; 付中涛1; 2; 朱泽润*1; 2; 4
1. 武汉工程大学机电工程学院，湖北 武汉 430205；
2. 智能焊接装备与软件工程技术湖北省研究中心(武汉工程大学)，湖北 武汉 430205；
3. 武汉数字化设计与制造创新中心有限公司，湖北 武汉 430074；
4. 湖北省数字化纺织装备重点实验室（武汉纺织大学），湖北 武汉 430200
Author(s):
ZHAO Yewei1; 2; 3;  SUN Hao3;  CHEN Xubing1;  2;  FU Zhongtao1;  2;  ZHU Zerun*1; 2; 4
关键词:
位置无关几何误差; 轮廓误差; 参数辨识; 微分运动学; 五轴数控机床; 雅可比矩阵
Keywords:
position-independent geometric error;  contour error;  parameter identification;  differential kinematics;  five-axis CNC machine tool;  Jacobian matrix
分类号:
TH161
DOI:
10.19843/j.cnki.CN42-1779/TQ.202412025
文献标志码:
A
摘要:
装配误差是位置无关几何误差的主要来源，是影响五轴数控机床加工精度的重要因素，而最小完备误差项分析和位置无关几何误差精确辨识仍然面临巨大挑战。针对以上问题，本文提出一种位置无关几何误差辨识模型，该模型基于齐次坐标变换矩阵，结合微分运动学原理，建立了机床各部件的局部装配误差与末端轮廓误差之间的映射模型；进一步根据相邻坐标系位置全局误差与局部误差的映射关系，构建全局坐标系和局部坐标系的误差映射模型。针对冗余误差项影响的误差辨识精度问题，提出全局误差映射雅可比矩阵分析的方法，将42项局部误差参数优化转换为17项最小完备全局误差参数，确保误差辨识的完整性与非冗余性，相关结果与ISO 230-1:2012标准分析获得的位置无关几何误差项保持一致。在仿真验证方面，构建虚拟五轴机床模型，采用球杆仪仿真测试方案，设置测量系统误差为0.1 μm，对机床各部件装配误差进行辨识；验证结果显示，位置误差辨识精确度达0.992 9，姿态误差辨识精确度达0.954 9，证实了模型的有效性，为机床精度提升与误差补偿提供了科学依据。
Abstract:
Assembly errors are the?primary source of position-independent geometric errors（PIGEs） and a critical factor affecting the machining accuracy of five-axis CNC machine tools. However, analysis of a minimal and complete set of error terms and accurate identification of PIGEs remain challenging. To address these issues, an identification model for PIGEs was proposed. Based on the homogeneous coordinate transformation matrix and differential kinematics, a mapping was established between the local assembly errors of machine tool components and the resulting contour errors at the tool tip. By considering the relationship between global and local errors in adjacent coordinate frames, an error mapping model integrating global and local coordinate systems was developed. To mitigate the impact of redundant error terms on identification accuracy, a Jacobian matrix-based analysis scheme for global error mapping was introduced, which optimized and reduced 42 local error parameters to a minimal and complete set of 17 global error parameters, ensuring both completeness and non-redundancy in error identification. ?These findings aligned with the PIGEs specified in the ISO 230-1:2012 standard. For simulation validation, a virtual five-axis machine tool model was constructed, and ball-bar simulation test was implemented with a measurement system error set to 0.1 mm to identify assembly errors of individual axes. Results demonstrated a position error identification accuracy of 0.992 9 and an orientation error identification accuracy of 0.954 9, confirming the model’s effectiveness and providing a scientific basis for improving machine tool accuracy and error compensation.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期：2024-12-27
基金项目：国家自然科学基金（52005201）；湖北省数字化纺织装备重点实验室基金（DTL2024009）；武汉工程大学研究生教育创新基金（CX2024444）；武汉工程大学科学研究基金（K2024003）
作者简介：赵烨炜，硕士研究生。Email：2979547451@qq.com
*通信作者：朱泽润，博士，副教授。Email：zhu.z.r@foxmail.com
更新日期/Last Update: 2026-03-10