IJAT Vol.14 No.3 pp. 429-437
doi: 10.20965/ijat.2020.p0429

Technical Paper:

Calibration Method of Parallel Mechanism Type Machine Tools

Keisuke Nagao, Nobuaki Fujiki, Yoshitaka Morimoto, and Akio Hayashi

Kanazawa Institute of Technology
7-1 Ohgigaoka, Nonoichi, Ishikawa 924-8501, Japan

Corresponding author

September 27, 2019
December 2, 2019
May 5, 2020
parallel mechanism machine tool, calibration, forward kinematics, AACMM, XMINI

This paper proposes a calibration method for a parallel mechanism type machine tool (XMINI, Exechon Enterprises L.L.C.). In this method, the kinematic parameters are calculated using forward kinematics and the least squares method from the results obtained by a coordinate measuring machine. By using an articulated arm coordinate measuring machine (AACMM), we can measure a wide space, and the measuring machine position do not have to be determined strictly. This paper provides a solution for the forward kinematics problem to identify the kinematic parameters. The results from the kinematic parameter calculation are evaluated using the experimental results from an actual machine.

Cite this article as:
K. Nagao, N. Fujiki, Y. Morimoto, and A. Hayashi, “Calibration Method of Parallel Mechanism Type Machine Tools,” Int. J. Automation Technol., Vol.14, No.3, pp. 429-437, 2020.
Data files:
  1. [1] Y. Takeda, “Kinematic Structure and Characteristics of Parallel Manipulators,” The Robotics Society of Japan, Vol.30, No.2, pp. 124-129, doi: 10.7210/jrsj.30.124, 2012 (in Japanese).
  2. [2] T. Shibukawa, T. Toyama, and K. Hattori, “Parallel Mechanism Based Milling Machine,” J. of JSPE, Vol.63, No.12, pp. 1671-1675, doi: 10.2493/jjspe.63.1671, 1997.
  3. [3] T. Oiwa, “Precision Mechanism Based on Parallel Kinematics,” J. of the Robotics Society of Japan, Vol.4, No.4, pp. 326-336, doi: 10.20965/ijat.2010.p0326, 2010.
  4. [4] T. Harada and K. Dong, “Mechanical Design and Control of 3-DOF Active Scanning Probe Using Parallel Link Mechanism,” Int. J. Automation Technol., Vol.5, No.2, pp. 86-90, doi: 10.20965/ijat.2011, 2011.
  5. [5] G. Ma, Y. Chen, Y. Yao, and J. Gao, “Kinematics and Singularity Analysis of a Four-Degree-of-Freedom Serial-Parallel Hybrid Manipulator,” J. Robot. Mechatron., Vol.29, No.3, pp. 520-527, doi: 10.20965/jrm.2017, 2017.
  6. [6] K. Neumann, “The key to aerospace automation,” SAE Aerospace Manufacturing and Automated Fastening Conf. and Exhibition, 2006-01-3144, doi: 10.4271/2006-01-3144, 2006.
  7. [7] K. Neumann, “Practical and Portable Automated Machining,” SAE Aerospace Manufacturing and Automated Fastening, 2014-01-2275, doi: 10.4271/2014-01-2275, 2014.
  8. [8] S. Aoyagi, M. Suzuki, T. Takahashi, J. Fujioka, and Y. Kamiya, “Calibration of Kinematic Parameters of Robot Arm Using Laser Tracking System: Compensation for Non-Geometric Errors by Neural Networks and Selection of Optimal Measuring Points by Genetic Algorithm,” Int. J. Automation Technol., Vol.6, No.1, pp. 29-37, doi: 10.20965/ijat.2012, 2012.
  9. [9] H. Yachi and H. Tachiya, “Calibration Method for a Parallel Mechanism Type Machine Tool by Response Surface Methodology – Consideration via Simulation on a Stewart Platform Mechanism –,” Int. J. Automation Technol., Vol.4, No.4, pp. 355-363, doi: 10.20965/ijat.2010, 2010.
  10. [10] H. Ota, T. Shibukawa et al., “Study of Kinematic Calibration Method for Parallel Mechanism (2nd Report) – Kinematic Calibration Using Forward Kinematics –,” J. of JSPE, Vol.66, No.10, pp. 1568-1572, doi: 10. 2493/jjspe.66.1568, 2000 (in Japanese).
  11. [11] S. Ibaraki, T. Yokawa et al., “A Study on the Improvement of Motion Accuracy of Hexapod-type Parallel Mechanism Machine Tool (2nd Report) – A Calibration Method to Evaluate Positioning Errors on the Global Coordinate System –,” J. of JSPE, Vol.70, No.4, pp. 557-561, doi: 10.2 493/jspe.70.557, 2004 (in Japanese).
  12. [12] Y. Takeda, G. Shen, and H. Funabashi, “Kinematic Calibration of In-Parallel Actuated Mechanisms Using Fourier Series (1st Report, Calibration Method and Selection Method of the Set of Measurement Paths),” JSME Int. J., Series C, Vol.68, No.673. pp. 2762-2769, doi: 10.1299/kikaic.68.2762, 2002 (in Japanese).
  13. [13] S. Ibaraki, T. Yokawa et al., “A Study on the Improvement of Motion Accuracy of Hexapod-type Parallel Mechanism Machine Tool (3rd Report) – A Kinematic Calibration Method Considering Gravity Errors –,” J. of JSPE, Vol.72, No.3, pp. 355-359, doi: 10.2493/jspe.72.355, 2004 (in Japanese).
  14. [14] M. Nakagawa, T. Matsushita et al., “A Study on the Improvement of Motion Accuracy of Hexapod-type Parallel Mechanism Machine Tool (1st Report) – The Method of Kinematic Calibration without Gravitation Deformation –,” J. of JSPE, Vol.67, No.8, doi: 10.2493/jjspe.67.1333, 2001 (in Japanese).
  15. [15] G. Shen, T. Takeda, and H. Funabashi, “Kinematic Calibration of In-Parallel Actuated Mechanisms Using Fourier Series (2nd Report, Experimental Investigations),” JSME Int. J., Series C, Vol.69, No.682, pp. 1691-1698, doi: 10.1299/kikaic.69.1691, 2003 (in Japanese).
  16. [16] O. Sato, K. Shimojima, R. Furutani et al., “Artifact Calibration of Parallel Mechanism (1st Report) – Kinematic Calibration with a Priori Knowledge – ,” J. of JSPE, Vol.70, No.1, pp. 96-100, doi: 10.2493/jspe.70.96, 2004 (in Japanese).
  17. [17] T. Oiwa, M. Kyogoku, and K. Yamaguchi, “Coordinate Measuring Machine using Parallel Mechanism (5th Report) – Kinematic Calibration with Three-Dimensional Ball Plate –,” J. of JSPE, Vol.68, No.1, pp. 65-69, doi: 10.2493/jjspe.68.65, 2002 (in Japanese).
  18. [18] M. Hashimoto and Y. Imamura, “Kinematic Analysis and Design of a 3DOF Parallel Mechanism for a Passive Compliant Wrist of Manipulators,” JSME Int. J., Series C, Vol.64, No.622, pp. 250-257, doi: 10.1299/kikaic.64.2116, 1998 (in Japanese).
  19. [19] R. Kang, H. Chanal, T. Bonnemains, S. Pateloup, D. T. Branson, and P. Ray, “Learning the forward kinematics behavior of a hybrid robot employing artificial neural networks,” Robotica, Vol.30, Issue 5, pp. 847-855, doi: 10.1017/S026357471100107X, 2012.
  20. [20] C. Trinh, D. Zlatanov, and M. Zoppi, “Direct Kinematics of the Exechon Tripod,” Proc. of ASME 2016 Int. Design Engineering Technical Conf. and Computers and Information in Engineering Conf., DETC2016-60038, V05BT07A092, doi: 10.1115/DETC2016-60038, 2016.
  21. [21] Z. Bi, “Kinetostatic modeling of Exechon parallel kinematic machine for stiffness analysis,” The Int. J. of Advanced Manufacturing Technology, Vol.71, No.10, pp. 325-335, doi: 10.1007/s00170-013-5482-z, 2014.
  22. [22] K. Nagao, N. Fujiki, and Y. Morimoto, “Study on calibration method of parallel mechanism type machine tools – Solution of forward kinematics problem considering kinematic error –,” Proc. of the 2019 Annual Meeting of the JSPE, pp. 217-218, doi: 10.11522/pscjspe.2019S.0_217, 2019.
  23. [23] JIS B 0680:2007, “Geometrical Product Specifications (GPS) – Standard reference temperature for geometrical product specification and verification,” 2007.

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Last updated on Dec. 01, 2020