DOI QR코드

DOI QR Code

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

오차행렬을 이용한 5축 공작기계의 오차보정모델 생성 및 실험적 검증

  • 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)
  • Received : 2013.03.19
  • Accepted : 2008.01.01
  • Published : 2013.05.01

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

References

  1. Bryan, J. B., "International Status of Thermal Error Research," Annals of the CIRP, Vol. 39, No. 2, pp. 645-656, 1990. https://doi.org/10.1016/S0007-8506(07)63001-7
  2. 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.
  3. 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.
  4. 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. https://doi.org/10.1007/s001700300028
  5. 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.
  6. 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. https://doi.org/10.1007/s12541-011-0044-5
  7. 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. https://doi.org/10.1007/s00170-011-3834-0
  8. 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. https://doi.org/10.1016/S0890-6955(03)00089-0
  9. 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. https://doi.org/10.1016/j.ijmachtools.2006.03.008
  10. Meyer, C. D., "Matrix Analysis and Applied Linear Algebra," SIAM, p. 126, 2000.
  11. NAS(National Aerospace Standard) 979, "Evaluation of Errors for 5 Axis Machine," AIA(Aerospace Industries Association of America), 1997.
  12. 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. https://doi.org/10.1016/j.precisioneng.2010.09.004
  13. 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. https://doi.org/10.3795/KSME-A.2013.37.1.097
  14. 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.
  15. ASME B5.54-1992, "Methods for Performance Evaluation of Computer Numerically Controlled Machining Centers," An American National Standard, 1992.
  16. ISO 230-1, "Test Code for Machine Tools-Part 1: Geometric Accuracy of Machines Operating under No-load or Finishing Conditions," ISO, 1996.