When a three-dimensional shape is machined by NC machine tool, motion errors occur around the motion direction changing points of the translational axis. This has a significant influence on a quality of machined surfaces. Therefore, much research on the influence of motion errors around the motion direction changing points of the feed drive system on a machined surface has been conducted to improve the quality of machined surfaces by NC machine tool. Among the motion errors that occur around the motion direction changing points of the translational axis, quadrant glitches with a stick-slip motion have a particularly large influence on the machined surface, and research on compensation methods continues to be reported. However, the transcriptional characteristics of quadrant glitches of the translational axis for machine tools have not been investigated adequately. In this study, the transcriptional characteristics of quadrant glitches of the translational axis on a machined surface were investigated. In addition, the influences of various factors on the transcriptional characteristics of quadrant glitches on a machined surface were investigated using a proposed equation and actual machining tests.

1. [1] Y. Kakino, Y. Ihara, Y. Nakatsu, and A. Shinohara, “A Study on the Motion Accuracy of NC Machine Tools (6th Report) – Generating Mechanism of the Stick Motion and its Compensation –,” J. of the Japan Society for Precision Engineering, Vol.56, No.4, pp. 739-744, 1990 (in Japanese).
2. [2] Y. Kakino, Y. Ihara, and A. Shinohara, “Accuracy Inspection of NC Machine Tools by Double Ball Bar Method,” Hanser Publishers, 1993.
3. [3] K. Nagashima, M. Katsuki, and K. Kawakami, “Theoretical Analysis of Stick Motion Generated at the Quadrant Changing Position in NC Machine Tools and Its Compensation by an Input Adaptive System,” J. of the Japan Society of Mechanical Engineers, Vol.66, No.648, pp. 2877-2883, 2000 (in Japanese).
4. [4] S. W. Hong, Y. J. Shin, and H. S. Lee, “An efficient method for identification of motion error sources from circular test results in NC machines,” Int. J. of Machine Tools and Manufacture, Vol.77, No.3, pp. 327-340, 1997.
5. [5] K. G. Ahn and D. W. Cho, “Proposition for a Volumetric Error Model Considering Backlash in Machine Tools,” The Int. J. of Advanced Manufacturing Technology, Vol.15, No.8, pp. 554-561, 1999.
6. [6] Y. Suzuki, A. Matsubara, Y. Kakino, and K. Tsutsui, “A Stick Motion Compensation System with a Dynamic Model,” Proc. of the Int. Conf. on Leading Edge Manufacturing in 21st Century, Niigata, Japan, pp. 525-528, 2003.
7. [7] X. Mei, M. Tsutsumi, T. Tao, and N. Sun, “Study on the Compensation of Error by Stick-Slip for a High-Precision Table,” Int. J. of Machine Tools and Manufacture, Vol.44, pp. 503-510, 2004.
8. [8] R. Sato and M. Tsutsumi, “Modeling and Controller Tuning Techniques for Feed Drive Systems,” Proc. of the ASME 2005 Int. Mechanical Engineering Congress and Exposition, Dynamic Systems and Control, pp. 669-679, 2005.
9. [9] R. Sato and M. Tsutsumi, “Friction Compensator for Feed Drive Systems Consisting of Ball Screw and Linear Ball Guide,” Proc. of the 35th Int. MATADOR Conf., pp. 311-314, 2007.
10. [10] R. Sato, Y. Terashima, and M. Tsutsumi, “Quadrant Glitch Compensator Based on Friction Characteristics in Microscopic Region,” J. of the Japan Society for Precision Engineering, Vol.74, No.6, pp. 622-626, 2008 (in Japanese).
11. [11] ISO 230-1:2012, “Test code for machine tools – Part 1: Geometric accuracy of machines operating under no-load or quasi-static conditions,” 2012.
12. [12] ISO 230-4:2005, “Test code for machine tools – Part 4: Circular tests for numerically controlled machine tools,” 2005.
13. [13] Renishaw plc, QC20-W ballbar system. http://www.renishaw.com [Accessed January 24, 2020]
14. [14] X. Dong, X. Liu, D. Yoon, and C. E. Okwudire, “Simple and Robust Feedforward Compensation of Quadrant Glitches Using a Compliant Joint,” Annals of the CIRP, Vol.66, Issue 1, pp. 353-356, 2017.
15. [15] T. Ohashi, H. Shibata, S. Futami, and R. Sato, “High Accuracy Control by Quadrant Glitch Compensation for a Feed Drive System Using Eight Grooved Linear Ball Bearing System,” J. of the Japan Society for Precision Engineering, Vol.84, No.11, pp. 925-930, 2018 (in Japanese).
16. [16] M. Oda, T. Torihara, E. Kondo, and N. Kumazawa, “Feasibility Study of a Hybrid Spindle System with Ball and Active Magnetic Bearings for Quadrant Glitch Compensation During End Milling,” Int. J. Automation Technol., Vol.13, No.3, pp. 432-439, 2019.
17. [17] T. Ohashi, H. Shibata, S. Futami, and R. Sato, “Quadrant glitch Compensation by a Modified Disturbance Observer for Linear Motor Stages,” Precision Engineering, Vol.59, pp. 18-25, 2019.
18. [18] T. Ohashi, H. Shibata, S. Futami, and R. Sato, “Gain Tuning Method for Quadrant Glitch Suppression by Modified Disturbance Observer,” Proc. of 2019 JSPE Spring Conf., pp. 611-612, 2019 (in Japanese).
19. [19] R. Sato, Y. Sato, K. Shirase, G. Campatelli, and A. Scippa, “Finished Surface Simulation Method to Predicting the Effects of Machine Tool Motion Errors,” Int. J. Automation Technol., Vol.8, No.6, pp. 801-810, 2014.
20. [20] T. Nishiguchi, R. Sato, and K. Shirase, “Evaluation of Dynamic Behavior of Rotary Axis in Five-axis Machining Center (Behavior around Motion Direction Changes),” J. of Advanced Mechanical Design, Systems, and Manufacturing, Vol.10, No.5, JAMDSM0075, 2016.
21. [21] T. Nishiguchi, R. Sato, and K. Shirase, “Evaluation and Compensation of Dynamic Behavior of Rotary Axis by Motion Direction Changes in 5-axis Controlled Machining Center,” J. of the Japan Society for Precision Engineering, Vol.82, No.10, pp. 913-918, 2016 (in Japanese).
22. [22] T. Nishiguchi, S. Hasegawa, R. Sato, and K. Shirase, “Evaluation Method for Behavior of Rotary Axis Around Motion Direction Changing,” Int. J. Automation Technol., Vol.11, No.2, pp. 171-178, 2017.