Extension of the displacement method by measuring reference pieces using multiple sensors for on-machine surface profile measurement
DOI:
https://doi.org/10.15282/jmes.18.3.2024.9.0806Keywords:
On machine measurement, Displacement method, Surface profile, Motion error, Error compensation, Error budgetAbstract
On-machine measurement is crucial in industrial production because it allows the measurement of the surface properties of products without having to remove them from the machine tool; however, measurement results are superimposed with the motion error caused by the table traverse. Therefore, eliminating motion errors is this field's main objective. This paper discusses measuring a surface profile using an extension of the displacement method to eliminate motion errors. The displacement method can separate the surface profile and motion error of the stages in measurement results; however, it introduces a specific cumulative error. The tolerance of the accumulated error was first investigated by simulating a one-axis measurement. The displacement method was extended to a two-axis stage to measure the surface profile and correct the stage tilt to each axis. Moreover, carbon steel finished using a face mill was measured in the experiments, and a coordinate measuring machine was used to compare the results with those of the extended displacement method. It was found that the extended displacement method was able to remove the motion error. Applying the displacement method resulted in an improvement of approximately 88.9%. Error analyses were also formulated and evaluated for sensor drift, reference piece measurement, motion error, table rotation, and thermal expansion, and the percentage of these errors in the total was clarified. The results showed that the motion error and table rotation for the y-axis of the prototype experimental apparatus were larger than the others. These errors are discussed to analyze each error and listed in the error budget. The proposed extended displacement method can eliminate motion errors despite the simplicity of the measurement principle and can be easily integrated into machine tools and other tables.
References
X. Chen, C. Sun, L. Fu, C. Liu, “A novel reconstruction method for on machine measurement of parallel profiles with a four-probe scanning system,” Precision Engineering, vol. 59, pp. 224–233, 2019.
T. Tiainen, R. Viitala, T. P. Holopainen, B. Hemming, “Analysis of total rotor runout components with multi-probe roundness measurement method,” Measurement, vol. 179, p. 109422, 2021.
W. Gao, S. Kiyono, T. Nomura, “A new multiprobe method of roundness measurements,” Precision Engineering, vol. 19, no. 1, pp. 37–45, 1996.
W. Gao, S. Kiyono, “On-machine roundness measurement of cylindrical workpieces by the combined three-point method,” Measurement, vol. 21, no. 4, pp. 147–156, 1997.
D. Leete, “Automatic compensation of alignment errors in machine tools,” International Journal of Machine Tool Design and Research, vol. 1, no. 4, pp. 293–324, 1961.
Y. Zi-qiang, L. Sheng-yi, “Exact straightness reconstruction for on machine measuring precision workpiece,” Precision Engineering, vol. 29, no. 4, pp. 456–466, 2005.
E. H. Fung, S. Yang, “An approach to on-machine motion error measurement of a linear slide,” Measurement, vol. 29, pp. 51–62, 2001.
D. Kono, A. Matsubara, I. Yamaji, T. Fujita, “High-precision machining by measurement and compensation of motion error, ” International Journal of Machine Tools and Manufacture, vol. 48, no. 10, pp. 1103–1110, 2008.
C. Li, S. Li, J. Yu, “High-resolution error separation technique for in-situ straightness measurement of machine tools and workpieces,” Mechatronics, vol. 6, no. 3, pp. 337–347, 1996.
Y. Zi-qiang, L. Shen-yi, “High accuracy error separation technique for on-machine measuring straightness,” Precision Engineering, vol. 30, no. 2, pp. 192–200, 2006.
S. Kiyono, W. Gao, “Profile measurement of machined surface with a new differential method,” Precision Engineering, vol. 16, no. 3, pp. 212–218, 1994.
J. Hwang, C. H. Park, W. Gao, S. W. Kim, “A three-probe system for measuring the parallelism and straightness of a pair of rails for ultra-precision guideways,” International Journal of Machine Tools and Manufacture, vol. 47, pp. 1053–1058, 2007.
E. Okuyama, H. Akata, H. Ishikawa, “Multi-probe method for straightness profile measurement based on least uncertainty propagation (2nd report) -Two-point method considering cross axis translational motion pitch motion and sensor’s random error,” Precision Engineering, vol. 34, pp. 683–691, 2010.
E. H. K. Fung, M. Zhu, X. Z. Zhang, W. O. Wong, “A novel Fourier eight-sensor (F8S) method for separating straightness, yawing and rolling motion errors of a linear slide,” Measurement, vol. 47, pp. 777–788, 2014.
E. G. Thwaite, “A method of obtaining an error-free reference line for the measurement of straightness,” Messtechnik, vol. 10, pp. 317–318, 1973.
X. Ai, T. Shimizu, M. Obi, “Some methods for profile measurement and an application for on-machine measurement,” in IEEE SMC ’99 Conference Proceedings, vol. 4, pp. 481–485, 1999.
X. Ai, T. Shimizu, M. Obi, “Straightness measurement based on using improved displacement method,” The Japan Society of Mechanical Engineers, vol. 66, pp. 2010–2015, 2000.
W. Gao, J. Aoki, B. F. Ju, S. Kiyono, “Surface profile measurement of a sinusoidal grid using an atomic force microscope on a diamond turning machine,” Precision Engineering, vol. 31, no. 3, pp. 304–309, 2007.
M. S. Rahman, T. Saleh, H. S. Lim, S. M. Son, M. Rahman, “Development of an on-machine profile measurement system in ELID grinding for machining aspheric surface with software compensation,” International Journal of Machine Tools and Manufacture, vol. 48, no. 7-8, pp. 887–895, 2008.
H. S. Kim, K. I. Lee, K. M. Lee, Y. B. Bang, “Fabrication of free-form surfaces using a long-stroke fast tool servo and corrective figuring with on-machine measurement,” International Journal of Machine Tools and Manufacture, vol. 49, pp. 991–997, 2009.
Y. Zhu, J. Na, W. Pan, Y. Zhi, “Discussions on on-machine measurement of aspheric lens-mold surface,” Optik, vol. 124, pp. 4406–4411, 2013.
R. Jiang, W. Wang, D. Zhang, Z. Wang, “A practical sampling method for profile measurement of complex blades,” Measurement, vol. 81, pp. 57–65, 2016.
W. Bo, Y. Shimizu, Y. Watanabe, H. Matsukuma, W. Gao, “On machine profile measurement of a micro cutting edge by using a contact-type compact probe unit,” Precision Engineering, vol. 65, pp. 230–239, 2020.
T. Pfeifer, M. Benz, B. Engelmann, P. Hafner, “High precision ultrasonic on-machine measurement,” Measurement, vol. 39, pp. 407– 414, 2006.
D. Wang, X. Fu, P. Xu, X. Tian, O. Spires, J. Liang, H. Wu, R. Liang, “Compact snapshot dual-mode interferometric system for on-machine measurement,” Optics and Lasers in Engineering, vol. 132, p. 106129, 2020.
D. Ding, Z. Zhao, X. Zhang, Y. Fu, J. Xu, “Evaluation and compensation of laser-based on-machine measurement for inclined and curved profiles,” Measurement, vol. 151, p. 107236, 2020.
O. Borisov, S. Fletcher, A. Longstaff, A. Myers, “Performance evaluation of a new taut wire system for straightness measurement of machine tools,” Precision Engineering, vol. 38, no. 3, pp. 492–498, 2014.
K. Fan, M. Chen, W. Huang, “A six-degree-of-freedom measurement system for the motion accuracy of a linear stage,” International Journal of Machine Tools and Manufacture, vol. 38, no. 3, pp. 155–164, 1998.
K. Fan, Y. Zhao, “A laser straightness measurement system using optical fiber and modulation techniques,” International Journal of Machine Tools and Manufacture, vol. 40, no. 14, pp. 2073–2081, 2000.
N. Huang, Q. Bi, Y. Wang, C. Sun, “5-axis adaptive flank milling of flexible thin-walled parts based on the on-machine measurement,” International Journal of Machine Tools and Manufacture, vol. 84, pp. 1–8, 2014.
Z. Jiang, B. Song, X. Zhou, X. Tang, S. Zheng, “On-machine measurement of location errors on five-axis machine tools by machining tests and a laser displacement sensor,” International Journal of Machine Tools and Manufacture, vol. 95, pp. 1–12, 2015.
A. H. Slocum, “Precision machine design,” Society of Manufacturing Engineers, pp. 96–103, 1992.
A. Breitzke, W. Hintze, “Workshop-suited geometric errors identification of three-axis machine tools using on-machine measurement for long-term precision assurance,” Precision Engineering, vol. 75, pp. 235–247, 2022
T. Xing, X. Zhao, L. Song, Z. Cui, X. Zou, T. Sun, “On-machine measurement method and geometrical error analysis in a multi-step processing system of an ultra-precision complex spherical surface,” Journal of Manufacturing Processes, vol. 80, pp. 161–177, 2022.
L. Ye, J. Qian, H. Haitjema, D. Reynaerts, “Uncertainty evaluation of an on-machine chromatic confocal measurement system, ” Measurement, vol. 216, p. 112995, 2023.
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