Kinematic Parameter-Independent Modeling and Measuring of Three-Axis Machine Tools

Authors: Yung-Yuan Hsu

Abstract:

The primary objective of this paper was to construct a “kinematic parameter-independent modeling of three-axis machine tools for geometric error measurement" technique. Improving the accuracy of the geometric error for three-axis machine tools is one of the machine tools- core techniques. This paper first applied the traditional method of HTM to deduce the geometric error model for three-axis machine tools. This geometric error model was related to the three-axis kinematic parameters where the overall errors was relative to the machine reference coordinate system. Given that the measurement of the linear axis in this model should be on the ideal motion axis, there were practical difficulties. Through a measurement method consolidating translational errors and rotational errors in the geometric error model, we simplified the three-axis geometric error model to a kinematic parameter-independent model. Finally, based on the new measurement method corresponding to this error model, we established a truly practical and more accurate error measuring technique for three-axis machine tools.

Keywords: Three-axis machine tool, Geometric error, HTM, Error measuring

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1074799

References:

[1] A.H. Slocum, "Precision Machine Design", in: Prentice-Hall, Englewood Cliffs, 1992.
[2] V.B. Kreng, C.R. Liu, C.N. Chu, "A kinematic model for machine tool accuracy characterization", International Journal of Advanced Manufacturing Technology, vol. 9, pp. 79-86, 1994.
[3] V. Kiridena, P.M. Ferreira, "Mapping the effects of positioning errors on the volumetric accuracy of five-axis CNC machine tools", International Journal of Machine Tools & Manufacture, vol. 33, no. 3, pp. 417-437, 1993.
[4] V.S.B. Kiridena, P.M. Ferreira, "Kinematic modeling of quasistatic errors of three-axis machining centers", International Journal of Machine Tools & Manufacture, vol. 34, no. 1, pp. 85-100, 1994.
[5] A.K. Srivastava, S.C. Veldhuis and M.A. Elbestawit, "Modelling geometric and thermal errors in a five-axis CNC machine tool", International Journal of Machine Tools & Manufacture, vol. 35, no. 9, pp. 1321-1337, 1995.
[6] K. Lau, Q. Ma, X. Chu, Y. Liu and S. Olson, "An advanced 6-degreeof-freedom laser system for quick CNC machine and CMM error mapping and compensation", Automated Precision, Inc., Gaithersburg, MD 20879, USA, 2001.
[7] P.M. Ferreira and C.R. Liu, "A method for estimating and compensating quasistatic errors of machine tools", Journal of Engineering for Industry, vol. 115, pp. 149-157, 1993.
[8] J. Ni, "CNC machine accuracy enhancement through real-time error compensation", Journal of Manufacturing Science and Engineering, vol. 119, pp. 717-725, 1997.
[9] LaserTRACER™ - highest measuring accuracy for machine tool error compensation , white paper, Optical Gaging Products, Inc (OGP), 2009.