Geometric error model of CNC machine tools based on Abbe principle

Zhuang ZHAO; Zhi-feng LOU; Zhong-ning ZHANG; Xiao-dong WANG; Guang-zhao FAN; Guo-hua CHEN; Hua XIANG

doi:10.3788/OPE.20202804.0885

您当前的位置：

首页 >

文章列表页 >

Geometric error model of CNC machine tools based on Abbe principle

Micro/Nano Technology and Fine Mechanics | 更新时间：2020-08-13

- Geometric error model of CNC machine tools based on Abbe principle
- Optics and Precision Engineering Vol. 28, Issue 4, Pages: 885-897(2020)
- 作者机构：
  
  1.大连理工大学机械工程学院，辽宁大连 116024
  2.襄阳华中科技大学先进制造工程研究院，湖北襄阳 441053
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20202804.0885
  CLC： TG659; TH161.5
- Received：16 December 2019，
  
  Revised：15 January 2020，
  
  Accepted：2020-1-15，
  
  Published：15 April 2020
- 稿件说明：
移动端阅览
Zhuang ZHAO, Zhi-feng LOU, Zhong-ning ZHANG, et al. Geometric error model of CNC machine tools based on Abbe principle[J]. Optics and precision engineering, 2020, 28(4): 885-897.
DOI：

Zhuang ZHAO, Zhi-feng LOU, Zhong-ning ZHANG, et al. Geometric error model of CNC machine tools based on Abbe principle[J]. Optics and precision engineering, 2020, 28(4): 885-897. DOI： 10.3788/OPE.20202804.0885.

摘要

为提高现有数控机床空间误差分析方法的准确度，本文基于阿贝原则对齐次转换矩阵(HTM)几何误差补偿模型进行优化。首先，推导出XYFZ型三轴机床适用的HTM几何误差补偿模型并给出模型正确使用的前提条件；然后，基于阿贝原则分析了三轴机床的空间误差传递机理，指出阿贝误差对机床定位精度的影响，给出理论计算公式并在机床运动轴上进行实验验证；最后，基于阿贝原则和布莱恩原则对现有的HTM几何误差补偿模型进行优化，采用该模型拟合体对角线空间误差，并与实测机床体对角线误差进行对比验证。现有HTM几何补偿模型可将机床空间误差由41.15 μm补偿至16.37 μm，补偿率为60.22%；优化后的补偿模型可将机床空间误差补偿至5.32 μm，补偿率为87.07%，提高了26.85%。实验结果表明，优化后的补偿模型更加合理，进一步改善了空间误差的补偿精度。

Abstract

In order to address the shortcomings of the existing space error analysis methods of CNC machine tools

the geometry error compensation model was optimized based on Abbe principle. First

the geometry error compensation model of the three-axis machine tool was deduced

and the precondition for the correct usage of the model was provided. Second

the mechanism of spatial error transfer of three-axis machine tool was analyzed

based on the Abbe principle. The influence of Abbe error on the positioning accuracy of machine tool was determined

and the theoretical calculation formula was provided and verified by conducting experiments on the moving axis of machine tool. Finally

the existing geometric error compensation model of HTM was optimized based on the Abbe principle and Bryan principle.This model was used to fit the diagonal space error

and compared with the actual measured diagonal error of the machine tool. The existing HTM geometric compensation model can compensate for the machine tool space error

altering it from 41.15 μm to 16.37 μm

with a compensation rate of 60.22%. The optimized compensation model can compensate for the machine tool space error

altering it to 5.32 μm

with a compensation rate of 87.07%

which is an increase of 26.85%. The experimental results show that the optimized compensation model is more reasonable

and further improves the accuracy of space error compensation.

关键词

Keywords

references

何振亚.数控机床三维空间误差建模及补偿研究[D].浙江: 浙江大学, 2010.

HE ZH Y. Modeling and Compensating for 3- Dimension Volumetric Errors of CNC Machine Tools [D]. Zhejiang: Zhejiang University, 2010. (in Chinese)

朱赤洲 , 陈蔚芳 , 赵鹏 , 等 . 数控机床三维空间误差建模及补偿技术研究 . 组合机床与自动化加工技术 , 2012 . ( 4 ): 16 - 19, 24 . DOI: 10.3969/j.issn.1001-2265.2012.04.005 http://doi.org/10.3969/j.issn.1001-2265.2012.04.005 .

CH ZH ZHU , W F CHEN , P ZHAO , 等 . Research on compensation technique for 3-dimension volumetric errors of CNC machine tools . Modular Machine Tool & Automatic Manufacturing Technique , 2012 . ( 4 ): 16 - 19, 24 . DOI: 10.3969/j.issn.1001-2265.2012.04.005 http://doi.org/10.3969/j.issn.1001-2265.2012.04.005 .

沈金华 , 杨建国 , 王正平 . 数控机床空间误差分析及补偿 . 上海交通大学学报 , 2008 . 42 ( 7 ): 1060 - 1063 . http://d.old.wanfangdata.com.cn/Periodical/shjtdxxb200807006 http://d.old.wanfangdata.com.cn/Periodical/shjtdxxb200807006 .

J H SHEN , J G YANG , ZH P WANG . Analysis and compensation on volumetric errors for NC machining tools . Journal of Shanghai Jiaotong University , 2008 . 42 ( 7 ): 1060 - 1063 . http://d.old.wanfangdata.com.cn/Periodical/shjtdxxb200807006 http://d.old.wanfangdata.com.cn/Periodical/shjtdxxb200807006 .

倪军 . 数控机床误差补偿研究的回顾及展望 . 中国机械工程 , 1997 . 8 ( 1 ): 29 - 33, 122 . DOI: 10.3321/j.issn:1004-132X.1997.01.011 http://doi.org/10.3321/j.issn:1004-132X.1997.01.011 .

J NI . A perspective review of CNC machine accuracy enhancement through real-time error compensation . China Mechanical Engineering , 1997 . 8 ( 1 ): 29 - 33, 122 . DOI: 10.3321/j.issn:1004-132X.1997.01.011 http://doi.org/10.3321/j.issn:1004-132X.1997.01.011 .

李圣怡 , 戴一帆 , 尹自强 . 精密和超精密机床精度建模技术 , : 长沙国防科技大学出版社 , 2007 .

SH Y LI , Y F DAI , Z Q YIN . Accuracy Modeling Technology of Precision and Ultra-Precision Machine Tool , : Changsha National University of Defense Technology Press , 2007 .

董泽园 , 李杰 , 刘辛军 , 等 . 数控机床两种几何误差建模方法有效性试验研究 . 机械工程学报 , 2019 . 55 ( 5 ): 137 - 147 . http://d.old.wanfangdata.com.cn/Periodical/jxgcxb201905018 http://d.old.wanfangdata.com.cn/Periodical/jxgcxb201905018 .

Z Y DONG , J LI , X J LIU , 等 . Experimental study on the effectiveness of two different geometric error modeling methods for machine tools . Journal of Mechanical Engineering , 2019 . 55 ( 5 ): 137 - 147 . http://d.old.wanfangdata.com.cn/Periodical/jxgcxb201905018 http://d.old.wanfangdata.com.cn/Periodical/jxgcxb201905018 .

李杰 , 谢福贵 , 刘辛军 , 等 . 五轴数控机床空间定位精度改善方法研究现状 . 机械工程学报 , 2017 . 53 ( 7 ): 113 - 128 . http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=jxgcxb201707017 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=jxgcxb201707017 .

J LI , F G XIE , X J LIU , 等 . Analysis on the research status of volumetric positioning accuracy improvement methods for five-axis NC machine tools . Journal of Mechanical Engineering , 2017 . 53 ( 7 ): 113 - 128 . http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=jxgcxb201707017 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=jxgcxb201707017 .

R S HARTENBERG , J DENAVIT . A kinematic notation for lower pair mechanisms based on matrices . Journal of Applied Mechanics , 1955 . 77 ( 2 ): 215 - 221 .

P M FERREIRA , C R LIU , E MERCHANT . A contribution to the analysis and compensation of the geometric error of a machining center . CIRP Annals , 1986 . 35 ( 1 ): 259 - 262 . DOI: 10.1016/S0007-8506(07)61883-6 http://doi.org/10.1016/S0007-8506(07)61883-6 .

刘又午 , 刘丽冰 , 赵小松 , 等 . 数控机床误差补偿技术研究 . 中国机械工程 , 1998 . 9 ( 12 ): 54 - 58, 5 . http://d.old.wanfangdata.com.cn/Periodical/zgjxgc199812015 http://d.old.wanfangdata.com.cn/Periodical/zgjxgc199812015 .

Y W LIU , L B LIU , X S ZHAO , 等 . Research on error compensation technology of NC machine tools . China Mechanical Engineering , 1998 . 9 ( 12 ): 54 - 58, 5 . http://d.old.wanfangdata.com.cn/Periodical/zgjxgc199812015 http://d.old.wanfangdata.com.cn/Periodical/zgjxgc199812015 .

S W ZHU , G F DING , S F QIN , 等 . Integrated geometric error modeling, identification and compensation of CNC machine tools . International Journal of Machine Tools & Manufacture , 2012 . 52 ( 1 ): 24 - 29 . http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=e5336c501b6a1370496220597f6ccea6 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=e5336c501b6a1370496220597f6ccea6 .

J LI , F G XIE , X J LIU . Geometric error modeling and sensitivity analysis of a five-axis machine tool . The International Journal of Advanced Manufacturing Technology , 2016 . 82 ( 9 ): 2037 - 2051 . http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=c34cb4d58906ea1304039a6390cced24 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=c34cb4d58906ea1304039a6390cced24 .

粟时平.多轴数控机床精度建模与误差补偿方法研究[D].长沙: 中国人民解放军国防科学技术大学, 2002.

SU SH P. Study on the Methods of Precision Modeling and Error Compensation for Multi-Axis CNC Machine Tools [D].Changsha: National University of Defense Technology, 2002. (in Chinese)

陈东菊.复合数控磨床螺纹成形磨削误差辨识及补偿[C].2015光学精密工程论坛论文集.长春, 2015: 359-365.

CHEN D J. Geometric error identification and compensation of complex CNC grinding machine[C]. 2015 Optical Precision Engineering Forum Proceedings . Changchun , 2015: 359-365. (in Chinese)

谢春 , 张为民 . 车铣复合加工中心综合误差检测及补偿策略 . 光学精密工程 , 2014 . 22 ( 4 ): 1004 - 1011 . http://www.eope.net/CN/abstract/abstract15196.shtml http://www.eope.net/CN/abstract/abstract15196.shtml .

CH XIE , W M ZHANG . Comprehensive measurement errors of 5-axis turning-milling centers and their compensation strategies . Opt. Precision Eng , 2014 . 22 ( 4 ): 1004 - 1011 . http://www.eope.net/CN/abstract/abstract15196.shtml http://www.eope.net/CN/abstract/abstract15196.shtml .

郭世杰 , 姜歌东 , 梅雪松 , 等 . 转台-摆头式五轴机床几何误差测量及辨识 . 光学精密工程 , 2018 . 26 ( 11 ): 2684 - 2694 . http://www.eope.net/CN/abstract/abstract17822.shtml http://www.eope.net/CN/abstract/abstract17822.shtml .

SH J GUO , G D JIANG , X S MEI , 等 . Measurement and identification of geometric errors for turntable-tilting head type five-axis machine tools . Opt. Precision Eng , 2018 . 26 ( 11 ): 2684 - 2694 . http://www.eope.net/CN/abstract/abstract17822.shtml http://www.eope.net/CN/abstract/abstract17822.shtml .

FAN K C, WANG T H, WANG C H, et al .. Development of an Abbé error compensator for NC machine tools[C]. Proceedings of the 37th International MATADOR Conference. Springer Science & Business Media , 2012, 4: 105.

M VAHEBI , B AREZOO . Accuracy improvement of volumetric error modeling in CNC machine tools . The International Journal of Advanced Manufacturing Technology , 2018 . 95 ( 5 ): 2243 - 2257 . http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=147f61a9ee05227b9893a11ea7d6e768 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=147f61a9ee05227b9893a11ea7d6e768 .

范光照 , 曾百由 . 精密机械精度基础 , : 台北高立图书出版社 , 2016 .

G ZH FAN , B Y ZENG . Precision Machinery Precision Foundation , : Taibei Gaoli Books Press , 2016 .

Z H LI , W L FENG , J G YANG , 等 . An investigation on modeling and compensation of synthetic geometric errors on large machine tools based on moving least squares method . Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture , 2018 . 232 ( 3 ): 412 - 427 . DOI: 10.1177/0954405416645985 http://doi.org/10.1177/0954405416645985 .

H W LIU , H XIANG , J H CHEN , 等 . Measurement and compensation of machine tool geometry error based on Abbe principle . The International Journal of Advanced Manufacturing Technology , 2018 . 98 2769 - 2774 . DOI: 10.1007/s00170-018-2471-2 http://doi.org/10.1007/s00170-018-2471-2 .

ISO 230-1. Test code for machine tools-Part 1: Geometric accuracy of machine operating under no-load or quasi-static conditions[S]. International Organization for Standardization, 2012.

E ABBÉf . Meẞapparate für physiker . Zeitschrift für Instrumentenkunde , 1890 . 10 446 - 448 .

J B BRYAN . The Abbé principle revisit: An updated interpretation . Precision Engineering , 1979 . 1 129 - 132 . DOI: 10.1016/0141-6359(79)90037-0 http://doi.org/10.1016/0141-6359(79)90037-0 .

Test code for machine tools-Part 6: Determination of positioning accuracy on body and face diagonals[S]. International Organization for Standardization, 2002.

Views

379

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

On-line six-degree-of-freedom errors measurement and compensation for XY stages

Geometric error measurement and integrated modeling for precision CNC machine tools of optical free-form surface

Geometric error identification of rotary axes based on misaligned tower-shaped artefact

Error compensation and parameter identification of circular grating angle sensors

Related Author

LIN Rongwei

CHENG Zhenying

HE Yaxiong

LI Jie

LI Ruijun

CHENG Ya-ping

ZHANG En-zhong

QI Yue-ling

Related Institution

Anhui Province Key Laboratory of Measuring Theory and Precision Instrument，School of Instrument Science and Opto-electronic Engineering，Hefei University of Technology

Institute of electrical and mechanical, Changchun University of Technology

Jilin Provincial Press and Publication Bureau of Radio and Television

Faculty of Mechanical Engineering and Mechanics， Ningbo University

School of Mechanical Engineering， Shanghai Jiao Tong University

Address：No.3888 Dong Nanhu Road, Changchun, Jilin, China Postal code：130033
Tel：0431-86176855 Email：gxjmgc@ciomp.ac.cn
Technical support is provided by Beijing Founder electronics co., LTD 吉ICP备11002662号-17 京公网安备11010802024621
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰