Kinematic Parameter-Independent Modeling and Measuring of Three-Axis Machine Tools
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.
[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.
[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.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:59268", author = "Yung-Yuan Hsu", title = "Kinematic Parameter-Independent Modeling and Measuring of Three-Axis Machine Tools", 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", volume = "5", number = "7", pages = "1397-7", }