한국정밀공학회지 (Journal of the Korean Society for Precision Engineering)

  • 제19권4호
  • /
  • Pages.124-131
  • /
  • 2002
  • /
  • 1225-9071(pISSN)
  • /
  • 2287-8769(eISSN)
한국정밀공학회 (Korean Society for Precision Engineering)
권호 표지

방향성을 고려한 일반화된 공작기계의 입체오차 모델링

A Generalized Volumetric Error Modeling Considering Backlash in Machine Tools

  • 발행 : 2002.04.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, an extended volumetric error model considering backlash in a three-axis machine tool was proposed and utilized for calculating the volumetric error of the machine tool at any position in three-dimensional workspace. Backlashes are interrelated; i.e. the angular backlash affects the straightness errors which then affect talc calculated squareness errors. Therefore, a new concept was introduced to define the backlash of squareness errors to incorporate the backlash of squareness error into the volumetric error, and the characteristics of the backlash of squareness error were investigated. The effects of backlash errors were assessed, by experiments. for 21 geometric errors of a machine tool. The backlash error was shown to be one of the systematic errors of a machine tool. And a generalized volumetric error model formulator for three-axis machine tools was developed, which allowed us to formulate machine tool synthesis error models far all possible machine tool configurations only with machine tool topology information. Based on these volumetric error model and model formulator, a computer-aided volumetric error analysis system was developed for a three-axis machine tool in this paper. Then the volumetric error at an arbitrary position can be obtained, and displayed in a three-dimensional graphic form.

키워드

참고문헌

  1. Kreng, V. B., Liu, C. R., and Chu, C. N., 'A Kinematic Model for Machine Tool Accuracy Characterisation,' The International Journal of Advanced Manufacturing Technology, Vol. 9, pp. 79-86, 1994 https://doi.org/10.1007/BF01750414
  2. Ferreira, P. M., Liu, C. R., 'An Analytical Quadratic Model for the Geometric Error of a Machine Tool,' Journal of Manufacturing Systems, Vol. 5, No. 1, pp. 51-63, 1986 https://doi.org/10.1016/0278-6125(86)90067-1
  3. Ehmann, K. F., Wu, B. T., 'A Generalized Geometric Error Model for Multi-Axis Machines,' Annals of the CIRP, Vol. 36, No. 1, pp. 253-256, 1987 https://doi.org/10.1016/S0007-8506(07)62598-0
  4. Mou, J., Liu, C. R., 'A Method for Enhancing the Accuracy of CNC Machine Tool for On-Machine Inspection,' Journal of Manufacturing Systems, Vol. 11, No. 4, pp. 229-237, 1992 https://doi.org/10.1016/0278-6125(92)90023-9
  5. 양승한, 이철수 '5축 CNC 공작기계의 오차 합성모델링 및 보정 알고리즘,' 한국정밀공학회지, 제 16 권, 제 8 호, pp. 122-129, 1999
  6. Dorndorf, U., Kiridena, V. S. B., and Ferreira, P. M., 'Optimal budgeting of Quasistatic Machine Tool Errors,' Transactions of the ASME, Journal of Engineering for Industry, Vol. 116, pp. 42-53, February, 1994 https://doi.org/10.1115/1.2901808
  7. Chen, X. B., Geddam, A., and Yuan, Z. J., 'Accuracy Improvement of Three-axis CNC Machining Centers by Quasi-Static Error Compensation,' Journal of Manufacturing Systems, Vol. 16, No. 5, pp. 323-336, 1997 https://doi.org/10.1016/S0278-6125(97)88463-4
  8. Okafor, A. C., Ertekin, Y. M., 'Derivation of machine tool error models and error compensation procedure for three axes vertical machining center using rigid body kinematics,' International Journal of Machine tools and Manufacture, Vol. 40, No. 8, pp. 1199-1213, 2000 https://doi.org/10.1016/S0890-6955(99)00105-4
  9. Kakino, Y., Ihara, Y., and Nakatsu, Y., 'The Measurement of Motion Error NC Machine Tools and Diagnosis of Their Origins by Using Telescoping Magnetic Ball Bar Method,' Annals of the CIRP, Vol. 36, No. 1, pp. 377-380, 1987 https://doi.org/10.1016/S0007-8506(07)62626-2
  10. Knapp, W., 'Accuracy of Length Measurement and Positioning: Statistical Measurement and Contouring Mode,' Annals of the CIRP, Vol. 37, No. 1, pp. 511-514, 1988 https://doi.org/10.1016/S0007-8506(07)61689-8
  11. Kao, J. Y., Yeh, Z. M., Tarng, Y. S., and Lin, Y. S., 'A Study of Backlash on the Motion Accuracy of CNC Lathes,' International Journal of Machine Tools and Manufacture, Vol. 36, No. 5, pp. 539-550, 1996 https://doi.org/10.1016/0890-6955(95)00064-X
  12. Pahk, H. J., Kim, Y. S., and Moon, J. H., 'A New Technique for Volumetric Error Assessment of CNC Machine Tools Incorporating Ball Bar Measurement and 3D Volumetric Error Model,' International Journal of Machine Tools and Manufacture, Vol. 37, No. 11, pp. 1583-1596, 1997 https://doi.org/10.1016/S0890-6955(97)00029-1
  13. Ahn, K. G., Cho, D. W., 'Proposition for a Volumetric Error Model Considering Backlash in Machine Tools,' The International Journal of Advanced manufacturing Technology, Vol. 15, pp. 554-561, 1999 https://doi.org/10.1007/s001700050101
  14. Hale, L. C., and Slocum, A. H., 'Design of antibacklash transmissions for precision position control systems,' Precision Engineering, Vol. 16, No. 4, pp. 244-258, 1994 https://doi.org/10.1016/0141-6359(94)90001-9
  15. Weck, M., 'Handbook of Machine Tools, Volume 3: Automation and Controls,' translated into English by Bibring, H., John Wiley & Sons, 1984