Abstract
This paper proposes a new scheme for evaluating the machine tool volumetric error model including the backlash error. The effects of backlash errors are assessed by experiments, conducted on a three-axis vertical-type machining centre. The assessment was taken for 18 error components out of the 21 geometric errors of a machine tool. It was shown that the backlash error of a machine tool is one of the systematic errors. Some important characteristics of the backlash error were identified; that is, the backlash error is a function of position, it decreases as the feedrate increases, and its size and shape vary according to the machine structure.
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J. A. Soons, F. C. Theuws and P. H. Schellekens, “Modeling the errors of multi-axis machines: a general methodology”, Precision Engineering, 14(1), pp. 5–19, 1992.
T. Treib, “Error budgeting-applied to the calculation and optimization of the volumetric error field of multiaxis systems”, Annals CIRP, 36(1), pp. 365–368, 1987.
K. F. Eman and B. T. Wu, “A generalized geometric error model for multi-axis machines”, Annals CIRP, 36(1), pp. 253–256, 1987.
J. Mou and C. R. Liu, “A method for enhancing the accuracy of CNC machine tools for on-machine inspection”, Journal of Manufacturing Systems, 11(4), pp. 229–237, 1992.
Y. C. Shin and Y. Wei, “A statistical analysis of positional errors of a multiaxis machine tool”, Precision Engineering, 14(3), pp. 139–146, 1992.
P. M. Fereira and C. R. Liu, “A method of estimating and compensating quasistatic errors of machine tools”, Transactions ASME, Journal of Engineering for Industry, 115, pp. 149–159, February 1993.
U. Dorndorf, V. S. B. Kiridena and P. M. Ferreira, “Optimal budgeting of quasistatic machine tool errors”, Transactions ASME, Journal of Engineering for Industry, 116, pp. 42–53, February 1994.
Y. C. Shin, H. Chin and M. J. Brink, “Characterization of CNC machining centers”, Journal of Manufacturing Systems, 10(5), pp. 407–421, 1991.
V. B. Kreng, C. R. Jiu and C. N. Chu, “A kinematic model for machine tool accuracy characterisation”, The International Journal of Advanced Manufacturing Technology, 9, pp. 79–86, 1994.
J. Mou and C. R. Liu, “A methodology for machine tools error corretion using reference parts”, International Journal of Computer Integrated Manufacturing, 8(1), pp. 64–77, 1995.
S. Sartori and G. X. Zhang, “Geometric error measurement and compensation of machines”, Annals CIRP, 44(2), pp. 599–609, 1995.
Y. Shen and N. A. Duffie, “An uncertainty analysis method for coordinate referencing in manufacturing systems”, Transactions ASME, Journal of Engineering for Industry, 117, pp. 42–48, February 1995.
X. B. Chen, A. Geddam and Z. J. Yuan, “Accuracy improvement of three-axis CNC machining centers for quasi-static error compensation”, Journal of Manufacturing Systems, 16(5), pp. 323–336, 1997.
S. Chatterjee, “An assessment of quasi-static and operational errors in NC machine tools”, Journal of Manufacturing Systems, 16(1), pp. 59–68, 1997.
Alexander H. Slocum, Precision Machine Design, Prentice-Hall, Englewood, Cliffs, NJ, 1992.
Manfred Weck, Handbook of Machine Tools, Volume 4: Metrological Analysis and Performance Tests (translated into English by H. Bibring), John Wiley, 1984.
Layton C. Hale and Alexander H. Slocum, “Design of antibacklash transmissions for precision position control systems”, Precision Engineering, 16(4), pp. 244–258, 1994.
Manfred Weck, Handbook of Machine Tools, Volume 3: Automation and Controls (translated into English by H. Bibring), John Wiley, 1984.
E. S. Lee, “Computer aided volumetric error calibration of CNCmachine and coordinate measuring machine by the artifact method”, PhD thesis, University of Manchester, 1993.
K. J. Bathe, Finite Element Procedures in Engineering Analysis, Prentice Hall, Englewood Cliffs, NJ, 1982.
H. J. Pahk, “Computer aided volumetric error calibration of coordinate measuring machine”, PhD thesis, University of Manchester, 1990.
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Ahn, K., Cho, D. Proposition for a Volumetric Error Model Considering Backlash in Machine Tools. Int J Adv Manuf Technol 15, 554–561 (1999). https://doi.org/10.1007/s001700050101
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DOI: https://doi.org/10.1007/s001700050101