Browse > Article
http://dx.doi.org/10.7736/KSPE.2013.30.5.507

Development and Experimental Verification of an Error Compensation Model for a Five-axis Machine Tool using an Error Matrix  

Kweon, Sung Hwan (Institute of Mechanical Engineering Technology, Kyungpook National University)
Lee, Dong Mok (Institute of Mechanical Engineering Technology, Kyungpook National University)
Yang, Seung Han (School of Mechanical Engineering, Kyungpook National University)
Publication Information
Abstract
This paper proposes a new model to compensate for errors of a five-axis machine tool. A matrix with error components, that is, an error matrix, is separated from the error synthesis model of a five-axis machine tool. Based on the kinematics and inversion of the error matrix which can be obtained not by using a numerical method, an error compensation model is established and used to calculate compensation values of joint variables. The proposed compensation model does not need numerical methods to find the compensation values from the error compensation model, which includes nonlinear equations. An experiment using a double ball-bar is implemented to verify the proposed model.
Keywords
Five-Axis Machine Tool; Error Compensation Model; Error Matrix; Error Synthesis Model; Geometric Error;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 Lei, W. T. and Hsu, Y. Y., "Accuracy Enhancement of Five-axis CNC Machines Through Real-time Error Compensations," International Journal of Machine Tools & Manufacture, Vol. 43, pp. 871-877, 2003.   DOI   ScienceOn
2 Hsu, Y. Y. and Wang, S. S., "A New compensation method for geometry errors of five-axis machine tools," International Journal of Machine Tools & Manufacture, Vol. 47, pp. 352-360, 2007.   DOI   ScienceOn
3 Meyer, C. D., "Matrix Analysis and Applied Linear Algebra," SIAM, p. 126, 2000.
4 NAS(National Aerospace Standard) 979, "Evaluation of Errors for 5 Axis Machine," AIA(Aerospace Industries Association of America), 1997.
5 Hong, C., Ibaraki, S., and Matsubara, A., "Influence of Position-independent Geometric Errors of Rotary Axes on a Machining Test of Cone Frustum by Fiveaxis Machine Tools," Precision Engineering, Vol. 35, No. 1, pp. 1-11, 2011.   DOI   ScienceOn
6 Lee, D. M., Lee, J. C., and Yang, S. H., "Conical Path Generation Technique for Ball Bar Measurement Using Simultaneous 5-Axis Motion Control," Trans. Korean So. Mech. Eng. A, Vol. 37, No. 1, pp. 97-103. 2013.   DOI   ScienceOn
7 Lee, D. M., Cha, Y. T., and Yang, S. H., "Analysis of Eccentricity in the Ball Bar Measurement," The 3rd International Conference on Manufacturing Machine Design and Tribology, p. 26, 2009.
8 ASME B5.54-1992, "Methods for Performance Evaluation of Computer Numerically Controlled Machining Centers," An American National Standard, 1992.
9 ISO 230-1, "Test Code for Machine Tools-Part 1: Geometric Accuracy of Machines Operating under No-load or Finishing Conditions," ISO, 1996.
10 Bryan, J. B., "International Status of Thermal Error Research," Annals of the CIRP, Vol. 39, No. 2, pp. 645-656, 1990.   DOI   ScienceOn
11 Yang, S., Yuan, J., and Ni, J., "Accuracy Enhancement of a Horizontal Machining Center by Real-Time Error Compensation," Journal of Manufacturing Systems, Vol. 15, No. 2, 1996.
12 Yang, S. and Lee, C. S., "Error Synthesis Modeling and Compensation Algorithm of a 5-Axis CNC Machine Tool," J. Korean Soc. Precis. Eng., Vol. 16, No. 8, pp. 122-129, 1999.   과학기술학회마을
13 Lin, Y. and Shen, Y., "Modeling of Five-Axis Machine Tool Metrology Models Using Matrix Summation Approach," Int. J. Adv. Manuf. Technol., Vol. 21, pp. 243-248, 2003.   DOI
14 Lee, K. I., Lee, D. M., and Yang, S. H., "Parametric Modeling and Estimation of Geometric Errors for a Rotary Axis using Double Ball-bar," Int J Adv Manuf Technol., Vol. 62, pp. 741-750, 2012.   DOI
15 Lee, K. I., Lee, D. M., Kweon, S. H., and Yang, S. H., "Geometric Errors Estimation of a Rotary Table Using Double Ball-Bar," J. Korean Soc. Precis. Eng., Vol. 27, No. 11, pp. 98-105, 2010.   과학기술학회마을
16 Lee, D. M., Zhu, Z. K., Lee, K. I., and Yang, S. H., "Identification and Measurement of Geometric Errors for a Five-axis Machine Tool with a Tilting Head Using a Double Ball-Bar," International Journal of Precision Engineering and Manufacturing, Vol. 12, No. 2, pp. 337-343, 2011.   DOI   ScienceOn