移动副离散误差运动的不变量评价方法

doi:10.3901/JME.2018.23.001

机械工程学报 ›› 2018, Vol. 54 ›› Issue (23): 1-9.doi: 10.3901/JME.2018.23.001

• 机构学及机器人 • 下一篇

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移动副离散误差运动的不变量评价方法

王德伦, 吴煜, 王智, 董惠敏

大连理工大学机械工程学院大连 116024

收稿日期:2017-11-10 修回日期:2018-06-30 出版日期:2018-12-05 发布日期:2018-12-05
通讯作者: 王德伦(通信作者),男,1958年出生,教授,博士研究生导师。主要研究方向为机构运动微分几何学、真实机构结构与性能分析设计。E-mail:dlunwang@dlut.edu.cn
作者简介:吴煜,男,1991年出生,博士研究生。主要研究方向为机构、机床精度性能分析与设计。E-mail:wuyu1091154038@163.com
基金资助:
国家科技重大专项（2015ZX04014021-03）和国家自然科学基金（51775079）资助项目。

Evaluation Based on Invariants for Discrete Error Motion of Prismatic Pair

WANG Delun, WU Yu, WANG Zhi, DONG Huimin

School of Mechanical Engineering, Dalian University of Technology, Dalian 116024

Received:2017-11-10 Revised:2018-06-30 Online:2018-12-05 Published:2018-12-05

摘要/Abstract

摘要： 提出了基于离散误差不变量的移动副误差运动评价方法。该方法不依赖于功能点与测量坐标系的选取，反映了误差运动的整体性质。通过6D高精度传感器获得运动刚体的6自由度误差参数。研究运动刚体上点、直线等几何特征的离散轨迹，并与理想曲线和曲面进行对比，建立了刚体上任意点的准线轨迹、任意方向的球面像曲线轨迹的误差评价模型。提取空间准线误差密度和球面方向误差密度两项为运动整体不变量，最小准线误差和最小球面像误差两项为运动特征不变量，以此作为误差运动的评价指标。开展了仪器不同安装位置的对比验证试验，结果表明，整体不变量与特征不变量评价指标是离散运动的固有性质，能更为准确客观地评价移动副的误差运动。

关键词: 不变量, 误差运动, 移动副, 直纹面

Abstract: A novel evaluation approach based on invariants is proposed to deal with the discrete error motion of the prismatic pair. The approach reflects the global property of the discrete error motion, which does not depend on the measurement coordinate system. The new 6D high-precision measurement instrument is used to investigate the six error terms. The evaluation model for directrix and spherical image curve is set up to study the geometry property of the moving body compared with the ideal one. The density of directrix error space and spherical envelope circle error surface are selected as the global evaluation indicators, while the minimal directrix error and the minimal spherical image curve error as the characteristic indicators. Three contrast tests are presented to illustrate the consistency and objectivity of the invariant indicators, which can evaluate the accuracy of the prismatic pair comprehensively and objectively.

Key words: error motion, invariant, prismatic pair, ruled surface

中图分类号:

TH112

王德伦, 吴煜, 王智, 董惠敏. 移动副离散误差运动的不变量评价方法[J]. 机械工程学报, 2018, 54(23): 1-9.

WANG Delun, WU Yu, WANG Zhi, DONG Huimin. Evaluation Based on Invariants for Discrete Error Motion of Prismatic Pair[J]. Journal of Mechanical Engineering, 2018, 54(23): 1-9.

参考文献

[1] ASME B5.54:2005. Methods for performance evaluation of computer numerically controlled machining centers[S]. New York:ASME,2005.
[2] ISO 230-1:2012. Test code for machine tools -Part 1:Geometric accuracy of machines operating under no-load or quasi-static conditions[S]. Geneva ISO,2012.
[3] FAN K C,CHEN M J. A 6-degree-of-freedom measurement system for the accuracy of X-Y stages[J]. Precision Engineering,2000,24(1):15-23.
[4] GAO W,ARAI Y,SHIBUYA A,et al. Measurement of multi-degree-of-freedom error motions of a precision linear air-bearing stage[J]. Precision Engineering,2006,30(1):96-103.
[5] LIN C C,HER J L. Calibrating the volumetric errors of a precision machine by a laser tracker system[J]. International Journal of Advanced Manufacturing Technology,2005,26(11-12):1255-1267.
[6] OKUYAMA S,YANO H,WATANABE S. Effect of floating capacity on the measurement error of the CBP method[J]. Journal-Japan Society for Precision Engineering,1997,63:1427-1431.
[7] ZIEGERT J C,MIZE C D. The laser ball bar:A new instrument for machine tool metrology[J]. Precision Engineering,1994,16(4):259-267.
[8] 刘又午,刘丽冰,赵小松,等. 数控机床误差补偿技术研究[J]. 中国机械工程,1998(12):48-52. LIU Youwu,LIU Libing,ZHAO Xiaosong,et al. Research for the error compensation of the NC machine tool[J]. China Mechanical Engineering,1998(12):48-52.
[9] TIAN Wenjie. Research on geometric error tracing of NC machine tools[J]. Journal of Mechanical Engineering,2014,50(7):128-135.
[10] CHEN G,YUAN J,NI J. A displacement measurement approach for machine geometric error assessment[J]. International Journal of Machine Tools & Manufacture,2001,41(1):149-161.
[11] 黄天喜. 10线法辨识三轴数控机床几何误差及误差补偿研究[D]. 长沙:中南大学,2008. HUANG Tianxi. A new method for error parameter identification based on ten displacement measurement line[D]. Changsha:Central South University,2008.
[12] BRYAN J B. The Abbé principle revisited:An updated interpretation[J]. Precision Engineering,1979,1(3):129-132.
[13] WANG Delun,WANG Wei. Kinematic differential geometry and saddle synthesis of linkages[M]. John Wiley & Sons Singapore Pte. Ltd,2015.
[14] WU Yu,WANG Delun,WANG Wei,et al. Kinematic geometry for the saddle line fitting of planar discrete positions[J]. Chinese Journal of Mechanical Engineering,2015,28(4):763-768.
[15] 唐焕文,秦学志. 实用最优化方法[M]. 大连:大连理工大学出版社,2004. TANG Huanwen,QIN Xuezhi. Practical methods of optimization[M]. Dalian:Dalian University of Technology Press,2004.
[16] WANG W,WANG D L. Curvature theory for point-path and plane-envelope in spherical kinematics by new adjoint approach[J]. Chinese Journal of Mechanical Engineering,2014,27(6):1157-1168.
[17] WANG Zhi,WANG Delun,WU Yu,et al. Error calibration of controlled rotary pairs in five-axis machining centers based on the mechanism model and kinematic invariants[J]. International Journal of Machine Tools & Manufacture,2017,120:1-11.
[18] WANG Delun,WANG Zhi,WU Yu,et al. Invariant errors of discrete motion constrained by actual kinematic pairs[J]. Mechanism and Machine Theory,2018,119:74-90.

移动副离散误差运动的不变量评价方法

Evaluation Based on Invariants for Discrete Error Motion of Prismatic Pair

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