Abstract
The ball bar is widely used in machine tool measurement because it is convenient and cost effective. Eccentricity exists due to machine errors and installation errors during a ball bar test, and the coordinate transformation method is used to remove eccentricity. However, distortion of data (i.e., ovalization) becomes large when eccentricity relative to the radius of a circle cannot be ignored. The number of sampled data for the total angle of circular path is used to estimate the actual rotating angle of the ball bar during measurement. To prevent distortion of data, actual rotating angles of the ball bar must be estimated exactly. In this paper, geometric relations of the ball bar measurement model are described based on the poses of two reference coordinate systems (ball bar and nominal coordinate system). The proposed algorithm calculates the actual rotating angle of the ball bar using geometric conditions and removes eccentricity through coordinate transformation.
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Dong-Mok LEE received the B.S. degree and M.S. degree in mechanical engineering from Kyungpook National University, Daegu, Republic of Korea, in 2000 and 2002 respectively. He is currently a Ph.D. candidate in the same university. His research interest is performance evaluation for multi-axis controlled drive.
Seung-Han YANG received his B.S. degree from Seoul National University, Republic of Korea, in 1986. He obtained his M.S. degree from University of Illinois Chicago and Ph.D. degree from University of Michigan Ann Arbor in 1988 and 1995, respectively. Dr. YANG is currently a Professor at the School of Mechanical Engineering at Kyungpook National University in Daegu, Korea. Dr. YANG’s main research interest is manufacturing system control with focus on the accurate measurement system.
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Lee, DM., Cha, YT. & Yang, SH. Analysis of eccentricity in the ball bar measurement. J Mech Sci Technol 24, 271–274 (2010). https://doi.org/10.1007/s12206-009-1137-2
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DOI: https://doi.org/10.1007/s12206-009-1137-2