DOI QR코드

DOI QR Code

A Forward Closed-Form Position Solution, Kinematic Analysis And Implementation of a Translational 3-DOF Parallel Mechanism Formed by Constraining a Stewart Platform Structure

스트워트 플랫폼 구조를 구속하여 얻어지는 병진형 3 자유도 병렬 메커니즘의 정위치 해석해와 기구학 해석 및 구현

  • 신동민 (고려대 제어계측공학과 대학원) ;
  • 정재헌 (한양대 전자컴퓨터공학부 대학원) ;
  • 오세민 (한양대 전자컴퓨터공학부 대학원) ;
  • 이병주 (한양대 전자컴퓨터공학부) ;
  • 김희국 (고려대 제어계측공학과)
  • Published : 2006.10.01

Abstract

In this study, a translational 3-DOF parallel mechanism formed by constraining the Stewart Platform Mechanism is investigated. The translational 3-DOF parallel mechanism has three struts(3-UPS type serial subchains) and in addition, has a PPP type serial subchain in the middle of the mechanism. Firstly, the closed-form forward and reverse position solutions are derived for this mechanism. And analysis on kinematic characteristics using isotropic index of the Jacobian is conducted to examine effects of design parameters for the mechanism. Lastly, a prototype mechanism is implemented and the kinematic performance of the translational 3-DOF parallel mechanism was verified through experimental work.

Keywords

References

  1. D. Stewart, 'A platform with six degree of freedom,' Proceedings of the Institute of Mechanical Engineering, vol. 180, Part 1, no. 15, pp. 371-386, 1965 https://doi.org/10.1243/PIME_PROC_1965_180_029_02
  2. W. K. Kim, K. K. Huh and B.-J. Yi, 'Kinemaitc/Dynamic optimal design of a stewart platform mechanism,' Journal of Control, Automation and Systems Engineering, vol. 2, no. 1, pp. 45-52, March, 1996
  3. K. M. Lee and D. K. Shah, 'Dynamic analysis of a three-degrees-of-freedom in-parallel actuated manipulator,' IEEE Trans. on Journal of Robotics and Automation, vol. 4, no. 3, pp. 361-367, June 1988 https://doi.org/10.1109/56.797
  4. L. W. Tsai, 'Robot analysis : the mechanics of serial and parallel manipulators,' John Wiley & Sons Inc., 1999
  5. J. P. Merlet, 'Parallel robots,' Kluwer Academic Publishers, 2000
  6. M. Shoham, M. Burman, E. Zehavi, L. Joskowicz, E. Bathilin, and Y. Kunicher, 'Bone-mounted miniature robot for surgical procedures: Concept and clinical applications,' transaction on robotics and automation, vol. 19, no. 5, Oct. 2003 https://doi.org/10.1109/TRA.2003.817075
  7. J. H. Chung, S. Y. Ko, D. S. Kwon, J. J. Lee, Y. S. Yoon, and C. H. Won, 'Robot-assisted femoral stem implantation using an intramedullar gauge,' IEEE Trans. On Robotics and Automation; pp. 885-892, 2003 https://doi.org/10.1109/TRA.2003.817508
  8. J. S. Kim and J. W. Kim, 'Eclipse : A new parallel mechanism platform,' Journal of the Korean Society of Precision Engineering, vol 18, no. 7, 2001, pp. 19-26
  9. J. P. Merlet, 'Closed-form resolution of the direct kinematics of parallel manipulators using extra sensors data,' in Proc. of IEEE Int'l Conf. on robotics and automation, vol. 1, pp. 200-204, 1993
  10. V. Parenti-Castelli and R. Di Gregorio, 'A new algorithm based on two extra-sensors for real-time computation of the actual configuration of the generalized stewart-gough manipulator,' ASME Journal of Mech. Des., vol. 122, no. 3, pp. 249-256, 2000 https://doi.org/10.1115/1.1288485
  11. I. A. Bonev, J. Ryu, S. G. Kim, and S. K. Lee, 'A closed-form solution to the direct kinematics of nearly general parallel manipulators with optimally located three linear extra sensors,' IEEE Trans. on Robotics and Automation, vol. 17, no. 2, pp. 148-156, 2001 https://doi.org/10.1109/70.928560
  12. M. L. Husty, 'An algorithm for solving the direct kinematics of a general Stewart-Gough platforms,' Mech. Mach. Theory, vol. 31, no. 4, pp. 89-95, 1995
  13. C. S. Yee and K. B. Lim, 'Forward kinematics solution of Stewart platform using neural networks,' Neurocomputing, vol. 16, no. 4, pp. 333-349, 1997 https://doi.org/10.1016/S0925-2312(97)00048-9
  14. J. P. Merlet, 'Solving the forward kinematics of a Gough-type parallel manipulator with interval analysis, The International Journal of Robotics Research, vol. 23, no. 3, pp. 221-235, 2004 https://doi.org/10.1177/0278364904039806
  15. W. K. Kim, Y. K. Byun, and H. S. Cho, 'Closed-form solution of forward position analysis for a 6-DOF 3-PPSP parallel mechanism and its implementation,' International Journal of Robotics Research, vol. 20, no. 1, pp. 85-99, Jan. 2001 https://doi.org/10.1177/02783640122067282
  16. L.-W. Tsai, G. C. Walsh, and R. E. Stamper, 'Kinematics of a novel three DOF translational platform,' Proc. of IEEE Int. Conf. on Robotics and Automation, pp. 3446-3451, 1996 https://doi.org/10.1109/ROBOT.1996.509237
  17. S. Joshi and L.-W. Tsai, 'A comparison study of two 3-DOF parallel manipulators: One with three and the other with four supporting legs,' Proc. of IEEE Int'l Conf. on Robotics and Automation, pp. 3690-3697, 2002
  18. W. K. Kim, J. Y. Lee, and B.-J. Yi, 'Analysis on kinematic characteristics of two types of 3 degree-of-freedom parallel manipulators,' Proc. of Robotics. System & Automation Conf., Korea, April 1996
  19. 이석희, 이정헌, 김희국, 이병주, '스튜워트 플랫폼 구조를 이용한 공간형 3자유도 병렬 메커니즘의 기구학 특성 분석,' 한국정밀공학회 논문집, vol. 22, no. 8, pp. 118-127, 2005
  20. D. Yi, B.-J. Yi, and W. K. Kim, 'Design of a new grasper mechanism having XYZ translational motions,' Proc. of IEEE Int. Conf. on Robotics and Automation, pp. 690-695, 2003
  21. C. Zhang and S. M. Song, 'Forward position analysis of nearly general stewart platforms,' ASME Journal of Mechanical Design, vol. 116, pp. 54-60, 1994 https://doi.org/10.1115/1.2919376
  22. S.-K. Song and D. S. Kwon, 'New methodology for the forward kinematics of 6-DOF parallel manipulators using tetrahedron configurations,' Proc. of IEEE Int'l Conf. on Robotics and Automation, pp. 1307-1312, 2001 https://doi.org/10.1109/ROBOT.2001.932791
  23. P. Ji and H. Wu, 'A closed-form forward kinematics solution for the 6-6p stewart platform,' IEEE Trans. on Roboics and Automation, vol. 17, no. 4, pp. 522-526, 2001 https://doi.org/10.1109/70.954766
  24. 김희국, 이병주, '정위치 해석해를 가지는 병렬 메커니즘에 관한 분석과 혼합구조 매니퓰래이터로의 활용,' 제어.자동화.시스템공학회 논문지, 제5권, 제3호, pp. 324-337