Abstract
In terms of the measurement accuracy of traditional CMM, a three-dimensional (3D) probe plays a great part in machine performance. However, there is few models and calibrations for 3D nonlinear and nonorthogonal scanning probe to have been published in cylindrical coordinate measuring machine (Cylindrical CMM). In this paper, a proper nonlinear model on the 3D probe is established which is based on Taylor series expansion. Moreover, an efficient calibration method is proposed to compensate not only 3D deformation of the probe but also radius of the probe tip. A high-accuracy sphere is selected as an artefact and several practical and feasible scanning paths are designed. During the calibration, optimization of the third-order model benefits from the second-order model for providing the approximate coefficient magnitudes. The proposed calibration method was experimentally carried out on an assembled four-axis CMM. Although both of the two models can reach a micron level, a compensation of the third-order model is more accurate. The correctness of the model and the efficiency of the calibration method were successfully demonstrated by probing another high-accuracy ball and the uncertainty was also analyzed.
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References
Li, Y.D., Gu, P.H.: Free-form surface inspection techniques state of the art review. Comput. Aid. Des. 36(13), 1395–1417 (2004)
Li, J., Xie, F., Liu, X.-J., Li, W., Zhu, S.: Geometric error identification and compensation of linear axes based on a novel 13-line method. Int. J. Adv. Manuf. Technol. 87(5), 2269–2283 (2016). https://doi.org/10.1007/s00170-016-8580-x
Zhu, S., Ding, G., Qin, S., Lei, J., Zhuang, L., Yan, K.: Integrated geometric error modeling, identification and compensation of CNC machine tools. Int. J. of Mach. Tools Manufact. 52(1), 24–29 (2012)
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. Int. J. Mach. Tool Manuf. 40(8), 1199–1213 (2000)
Sun, G., He, G., Zhang, D., Sang, Y., Zhang, X., Ding, B.: Effects of geometrical errors of guideways on the repeatability of positioning of linear axes of machine tools. Int. J. Adv. Manuf. Technol. 98(9), 2319–2333 (2018). https://doi.org/10.1007/s00170-018-2291-4
Ibaraki, S., Oyama, C., Otsubo, H.: Construction of an error map of rotary axes on a five-axis machining center by static R-test. Int. J. Mach. Tool Manuf. 51(3), 190–200 (2011)
Xiang, S., Yang, J.: Using a double ball bar to measure 10 position-dependent geometric errors for rotary axes on five-axis machine tools. Int. J. Adv. Manuf. Technol. 75(1), 559–572 (2014). https://doi.org/10.1007/s00170-014-6155-2
Huang, N.D., Bi, Q.Z., Wang, Y.H.: Identification of two different geometric error definitions for the rotary axis of the 5-axis machine tools. Int. J. Mach. Tool Manuf. 91, 109–114 (2015)
Bi, Q.Z., Huang, N.D., Sun, C., Wang, Y.H., Zhu, L.M., Ding, H.: Identification and compensation of geometric errors of rotary axes on five-axis machine by on-machine measurement. Int. J. Mach. Tool Manuf. 89, 182–191 (2015)
Chen, Y.-T., More, P., Liu, C.-S.: Identification and verification of location errors of rotary axes on five-axis machine tools by using a touch-trigger probe and a sphere. Int. J. Adv. Manuf. Technol. 100(9), 2653–2667 (2018). https://doi.org/10.1007/s00170-018-2863-3
Chen, Y.-T., More, P., Liu, C.-S., Cheng, C.-C.: Identification and compensation of position-dependent geometric errors of rotary axes on five-axis machine tools by using a touch-trigger probe and three spheres. Int. J. Adv. Manuf. Technol. 102(9), 3077–3089 (2019). https://doi.org/10.1007/s00170-019-03413-x
Bastas, A.: Comparing the probing systems of coordinate measurement machine: scanning probe versus touch-trigger probe. Measurement 156, 107604 (2020)
Evaluation of measurement data–guide to the expression of uncertainty in measurement. https://www.bipm.org/en/publications/guides/
Acknowledgement
This research was supported by the key research project of Ministry of Science and Technology (Grant No. 2017YFB1301503).
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Yang, K., Zhang, X., Li, J., Zhu, L. (2020). An Efficient Calibration Method for 3D Nonlinear and Nonorthogonal Scanning Probe in Cylindrical CMM. In: Chan, C.S., et al. Intelligent Robotics and Applications. ICIRA 2020. Lecture Notes in Computer Science(), vol 12595. Springer, Cham. https://doi.org/10.1007/978-3-030-66645-3_1
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DOI: https://doi.org/10.1007/978-3-030-66645-3_1
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