Accuracy enhancement of five-axis machine tool based on differential motion matrix: Geometric error modeling,identification and compensation |
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| Affiliation: | 1. State Key Laboratory of High-performance Complex Manufacture, Central South University, Changsha, Hunan 410083, China;2. S.M. Wu Manufacture Center, University of Michigan, Ann Arbor, MI 48109, USA;1. Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education, Tianjin University, Tianjin 300072, China;2. School of Engineering, The University of Warwick, Coventry CV4 7AL, UK;1. School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou, Fujian, PR China;2. College of Computer Science and Technology, Zhejiang University of Technology, Hangzhou, Zhejiang, PR China;1. School of Mechanical and Power Engineering, Nanjing TECH University, Nanjing, Jiangsu 211816, PR China;2. Nanjing Gongda CNC Technology Co., Ltd., Nanjing, Jiangsu 211899, PR China;3. College of Engineering, University of Illinois at Chicago, Chicago, IL 60607, United States |
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| Abstract: | This paper presents the precision enhancement of five-axis machine tools according to differential motion matrix, including geometric error modeling, identification and compensation. Differential motion matrix describes the relationship between transforming differential changes of coordinate frames. Firstly, differential motion matrix of each axis relative to tool is established based on homogenous transformation matrix of tool relative to each axis. Secondly, the influences of errors of each axis on accuracy of tool are calculated with error vector of each axis. The sum of these influences is integration of error components of machine tool in coordinate system of tool. It endows the error modeling clear physical meaning. Moreover, integrated error components are transformed to coordinate frame of working table for integrated error transformation matrix of machine tools. Thirdly, constructed Jacobian is established using differential motion matrix of each axis without extra calculation to compensate the integrated error components of tool. It makes compensation easy and convenient with reuse of intermediate. Fourthly, six-circle method of ballbar is developed based on differential motion matrix to identify all ten error components of each rotary axis. Finally, the experiments are carried out on SmartCNC500 five-axis machine tool to testify the effectiveness of proposed accuracy enhancement with differential motion matrix. |
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| Keywords: | Geometric errors Differential motion matrix Integrated error components Error compensation Error identification |
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