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http://dx.doi.org/10.7736/KSPE.2012.29.8.863

Analysis for the Squareness Measurement using Laser Interferometer  

Lee, Dong-Mok (Institute of Mechanical Engineering Technology, Kyungpook Nat'l Univ.)
Lee, Hoon-Hee (School of Mechanical Engineering, Kyungpook Nat'l Univ.)
Yang, Seung-Han (School of Mechanical Engineering, Kyungpook Nat'l Univ.)
Publication Information
Abstract
The squareness measurement of driving axes of a machine tool is very important to evaluate the performance of the machine. Laser interferometer measurement system is one of the most reliable equipment to measure the squareness. However, squareness measurement using laser system with an optical square result in restriction of straightness optics setup and Abbe's offset. This offset combines with angular errors during the motion of an axis to cause Abbe's error. In addition, the difficulty in optical square setup causes restriction of other optics and limitation of measurable range. In this paper, mathematical approaches are presented to eliminate the Abbe's error and to estimate squareness for full range by using the best fit of straightness data measured without an optical square. Experiments for squareness measurement of 3 axis machine tool were conducted and the proposed techniques were used for squareness evaluation with elimination of Abbe's error and squareness estimation for the full travel range.
Keywords
Squareness Measurement; Laser Interferometer; Abbe's Error; Representative Line; Best Fit; Optical Square;
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Times Cited By KSCI : 2  (Citation Analysis)
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1 Renishaw plc, "Renishaw Laser Interferometer System Manual Ver. 2.1, Linear Measurement," pp. 38-43, 2009.
2 Renishaw plc, "Renishaw Laser Interferometer System Manual Ver. 2.1, Squareness Measurement," pp. 5-21, 2009.
3 Kim, K. H. and Yang, S. H., "A Reverse Kinematic Approach for Error Analysis of a Machine Tool using Helical Ball Bar Test," Journal of the KSPE, Vol. 18, No. 3, pp. 143-151, 2001.
4 ISO 230-1, "Test code for machine tools-Part 1: Geometric accuracy of machines operating under noload or finishing conditions," 1996.
5 Lee, C. W., Song, J. Y., and Ha, T. H., "Measurement of Axis Squareness by using Reversal Method," Proc. of KSPE Autumn Conference, pp. 436-439, 2005.
6 Hai, N., Yuan, J., and Ni, J., "Reverse Kinematic Analysis of Machine Tool Error using Telescoping Ball Bar," ASME, PED 68-1, pp. 277-286, 1994.
7 Lee, J. H., Liu, Y., and Yang, S. H., "Accuracy Improvement of Miniaturized Machine tool : Geometric Error Modeling and Compensation," International Journal of Machine Tools & Manufacture, Vol. 46, No. 12-13, pp. 1508-1516, 2006.   DOI
8 Chen, G., Yuan, J., and Ni, J., "A Displacement Measurement Approach for Machine Geometric Error Assessment," International Journal of Machine Tools & Manufacture, Vol. 41, No. 1, pp. 149-161, 2001.   DOI
9 Castro, H. F. F. and Burdekin, M., "Dynamic Calibration of the Positioning accuracy of Machine Tools and Coordinate Measuring Machine using a Laser Inter-ferometer," International Journal of Machine Tools & Manufacture, Vol. 43, No. 9, pp. 947-954, 2003.   DOI
10 Hewlett Packard, "HP - Agilent 5529A Dynamic Calibrator : Verify Machine Performance with the World Standard for Laser-Based Metrology," 2005.
11 Renishaw plc, "XL-80 Laser System : Portable Laser Measurement and Calibration," 2007.
12 Lee, J. H. and Yang, S. H., "Measurement of Geometric Errors in a Miniaturized Machine Tool using Capacitance Sensors," Journal of Materials Proce-ssing Technology, Vol. 164-165, pp. 1402-1409, 2005.   DOI
13 Steinmetz, G. R., "Sub-micron Position Measurement and Control on Precision Machine Tools with Laser Interferometry," Precision Engineering, Vol. 12, No. 1, pp. 12-24, 1990.   DOI   ScienceOn
14 Kwon, S. R., Kweon, S. H., and Yang, S. H., "Measurement of Geometric Errors of an Ultra Precision mMT using PSDs," Trans. of the KSME A, Vol. 35, No. 1, pp. 53-58, 2011.
15 Lee, K. I., Lee, D. M., Kweon, S. H., and Yang, S. H., "Geometric Error Estimation of a Rotary Table using Double Ball-bar," Journal of the KSPE, Vol. 27, No. 11, pp. 98-105, 2010.
16 Schwenke, H., Knapp, W., Haitjema, H., Weckenmann, A., Rchmitt, R., and Delbressine, F., "Geometric Error Measurement and Compensation of Machines-an Update," CIRP Annals - Manufacturing Technology, Vol. 57, No. 2, pp. 660-675, 2008.   DOI   ScienceOn