Abstract
Geometric accuracy is crucially important for machine tools. Identification of geometric errors, especially position-dependent geometric errors, is still a challenging issue. This paper presents a systematic and fast approach to identify the geometric error components of a precision machine tool using double ball bar (DBB). The approach can be implemented in three steps: (1) polynomial based error modeling that relates the DBB radius error directly to the geometric error parameters of machine tool; (2) spatial measurement trajectory planning with a single installation of DBB in order to avoid producing extra setup errors; (3) error identification with regularization method that can solve the ill-posed identification problem effectively. Simulations and experiments show the accuracy and effectiveness of the proposed identification approach. The results of the DBB test show that, utilizing the proposed identification method, the roundness errors of the three circular paths in xy-, yz- and xz-plane are reduced from 27.3 μm, 20.7 μm and 24.1 μm to 9.2 μm, 12.3 μm and 7.8 μm, respectively, with error compensation.
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Recommended by Associate Editor Byoung-chang Kim
Wenjie Tian is a lecturer of the School of Marine Science and Technology, Tianjin University, China. He received his Dr. Eng. from Tianjin University in 2015. His research interests include error modeling, error compensation, accuracy design of machine tools and industrial robots.
Weiguo Gao is a Associate Professor of the Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education, Tianjin University, China. He received his Dr. Eng. from Tianjin University in 2007. His research interests include thermal characteristics analysis, thermal error compensation, and thermal balance design of precision machine tools.
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Tian, W., Yang, G., Wang, L. et al. The application of a regularization method to the estimation of geometric errors of a three-axis machine tool using a double ball bar. J Mech Sci Technol 32, 4871–4881 (2018). https://doi.org/10.1007/s12206-018-0935-9
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DOI: https://doi.org/10.1007/s12206-018-0935-9