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IJAT Vol.16 No.4 pp. 497-506
doi: 10.20965/ijat.2022.p0497
(2022)

Paper:

Posture Evaluation Based on Forward Kinematics and Inverse Kinematics of Parallel Link Type Machine Tool

Hiroto Tanaka, Yoshitaka Morimoto, Akio Hayashi, and Hidetaka Yamaoka

Kanazawa Institute of Technology
7-1 Ohgigaoka, Nonoichi, Ishikawa 921-8501, Japan

Corresponding author

Received:
October 29, 2021
Accepted:
February 14, 2022
Published:
July 5, 2022
Keywords:
parallel mechanism, shape creation theory, homogeneous transformation matrix, kinematics
Abstract

Parallel mechanisms with multiple links have been expected to be used in machining because they are higher in rigidity, accuracy, and output power than series mechanisms, such as industrial robots. However, unlike conventional machine tools, which consist of linear and rotary axes, parallel mechanisms have a large number of error factors. In the parallel link mechanism, there is no guide surface that physically guarantees linearity, and all accuracy is determined by the operating performance of the composite axes. This makes it difficult to identify any error factors. Therefore, a kinematics model is devised, and the behavior of the tool tip is checked by inputting the encoder information during the actual operation of a specific axis. Based on the results, we evaluate the machining characteristics of the target machine tool. The target machine tool in this study is a 5-axis machine tool that combines a 3-DOF parallel mechanism consisting of three linear motion axes and a 2-DOF serial mechanism consisting of two rotary axes. In our previous research, we tried to build a forward kinematics model. Although its prediction accuracy was insufficient, it was possible to actually identify the cause of the defect in the quality of the machined surface using the servo position information of the kinematics machine. However, we have not been able to construct an inverse kinematics model that is suitable for calculating the correction position command value to improve the quality of the machined surface. In this study, based on the shape creation theory, we devise and evaluate the kinematics model of a robotic machine tool that has a parallel mechanism. As a result of comparing the kinematics model with the 3D-CAD model in order to evaluate the accuracy of the former, it was confirmed that the proposed method has high simulation accuracy. Then, machining tests were carried out to evaluate the machining accuracy by measuring, based on proposed kinematics model, the machined surfaces in order to identify the mechanism that affects the texture of the machined surface. In addition, we performed a circle interpolation to confirm the effects of reversing the motion of each drive axis on the behavior of the tool tip. As a result, it is considered that the linear motion axis has a large effect on the behavior of the tool tip on the quadrant glitch of each drive axis. It was also found that the effects of the 1st- and 3rd-axes on the behavior of the tool tip are different from those of the 2nd-axis.

Cite this article as:
H. Tanaka, Y. Morimoto, A. Hayashi, and H. Yamaoka, “Posture Evaluation Based on Forward Kinematics and Inverse Kinematics of Parallel Link Type Machine Tool,” Int. J. Automation Technol., Vol.16, No.4, pp. 497-506, 2022.
Data files:
References
  1. [1] T. Shibukawa, T. Toyama, and K. Hattori, “Parallel Mechanism Based Milling Machine,” J. of JSPE, Vol.63, No.12, pp. 1671-1675, 1997.
  2. [2] 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, 2001 (in Japanese).
  3. [3] 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, 2011.
  4. [4] 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, 2017.
  5. [5] 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, 2012.
  6. [6] 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, 2010.
  7. [7] H. Ota, T. Shibukawa et al., “Study of Kinematic Calibration Methodfor Parallel Mechanism (2nd Report) – Kinematic Calibration Using Forward Kinematics –,” J. of JSPE, Vol.66, No.10, pp. 1568-1572, 2000 (in Japanese).
  8. [8] 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, 2004 (in Japanese).
  9. [9] Y. Takeda, G. Shen, and H. Funabashi, “Kinempatic 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. 246-253, 2002 (in Japanese).
  10. [10] 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, 2006 (in Japanese).
  11. [11] K. Neumann, “The key to aerospace automation,” SAE Aerospace Manufacturing and Automated Fastening Conf. and Exhibition, 2006-01-3144, 2006.
  12. [12] K. Neumann, “Practical and Portable Automated Machining,” SAE Aerospace Manufacturing and Automated Fastening, 2014-01-2275, 2014.
  13. [13] M. Shang and J. Butterfield, “The experimental test and fea of a PKM (Exechon) in a flexible fixture application for aircraft wing assembly,” Proc. of the 2011 IEEE Int. Conf. on Mechatronics and Automation, pp. 1225-1230, 2011.
  14. [14] R. Kang, H. Chanal, T. Bonnemains, S. Pateloup, D. Branson, and P. Ray, “Learning the forward kinematics behavior of a hybrid robot employing artificial neural networks,” Robotica, Vol.30, No.5, pp. 847-855, 2012.
  15. [15] C. Trinh-Duc, D. Zlatanov, M. Zoppi, and R. Molfino, “Direct Kinematics of the Exechon Tripod,” Proc. of the 40th Mechanisms and Robotics Conf., V05BT07A092, 2016.
  16. [16] 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, 2014.
  17. [17] P. C. López-Custodio, “Kinematics and Constraints of the Exechon Robot Accounting Offsets Due to Errors in the Base Joint Axes,” J. Mechanisms Robotics, Vol.12, No.2, 021109, 2020.
  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. 2116-2123, 1998 (in Japanese).
  19. [19] A. Hayashi, H. Tanaka, M. Ueki, H. Yamaoka, N. Fujiki, and Y. Morimoto, “Forward Kinematics Model for Evaluation of Machining Performance of Robot Type Machine Tool,” Int. J. Automation Technol., Vol.15, No.2, pp. 215-223, 2021.
  20. [20] I. Inasaki, “Theory of Generating Motion for Machine Tools : Formulation and Application,” JSME Int J., Series C, Vol.60, No.574, pp. 1891-1895, 1994 (in Japanese).
  21. [21] 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 JSPE, Vol.56, No.4, pp. 139-144, 1990.

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Last updated on Sep. 27, 2022