Workspace Optimization and Kinematic Performance Evaluation of 2-DOF Parallel Mechanisms

  • Nam Yun-Joo (Department Mechanical and Intelligent Systems Engineering, Pusan National University) ;
  • Park Myeong-Kwan (Research Institute of Mechanical Technology, School of Mechanical Engineering, Pusan National University)
  • 발행 : 2006.10.01

초록

This paper presents the kinematics and workspace optimization of the two different 2-DOF (Degrees-of-Freedom) planar parallel mechanisms: one (called 2-RPR mechanism) with translational actuators and the other (called 2-RRR mechanism) with rotational ones. First of all, the inverse kinematics and Jacobian matrix for each mechanism are derived analytically. Then, the workspace including the output-space and the joint-space is systematically analyzed in order to determine the geometric parameters and the operating range of the actuators. Finally, the kinematic optimization of the mechanisms is performed in consideration of their dexterity and rigidity. It is expected that the optimization results can be effectively used as a basic material for the applications of the presented mechanisms to more industrial fields.

키워드

참고문헌

  1. Birglen, L., Gosselin, C, Pouliot, N., Monsarrat, B. and Laliberte, T., 2002, 'SHaDe, A New 3DOF Haptic Device,' IEEE Trans. on Robotics and Automation, Vol. 18, No.2, pp. 166-175 https://doi.org/10.1109/TRA.2002.999645
  2. Carretero, J. A., Podhorodeski, R. P., Nahon, M. A. and Gosselin, C. M., 2000, 'Kinematic Analysis and Optimization of a New Three Degree-of-Freedom Spatial Parallel Manipulator,' ASME J. of Mechanical Design, Vol. 122, pp. 17-24 https://doi.org/10.1115/1.533542
  3. Choi, K. B., 2003, 'Kinematic Analysis and Optimal Design of 3-PPR Planar Parallel Manipulator,' KSME International Journal, Vol. 17, No.4, pp.528-537
  4. Chung, J. -H., Ko, S. -Y., Kwon, D. -S., Lee, J.,-J., Yoon, Y. -So and Won, C. -H., 2003, 'Robot-Assisted Femoral Stem Implantation Using an Intramedulla Gauge,' IEEE Trans. on Robotics and Automation, Vol. 19, No.5, pp.855-892 https://doi.org/10.1109/TRA.2003.817508
  5. Chung, Y. -H. and Lee, J. -W., 2001, 'Design of a New 2 DOF Parallel Mechanism,' Proc. of IEEE/ASME Int. Conf. on Advanced Intelligent Mechatronics, Como, Italy, pp. 129-134 https://doi.org/10.1109/AIM.2001.936442
  6. Chung, Y. -H., Lee, J. -W., Sung, Y. -G. and Joo, H. -H., 2001, 'Dynamics and Control of 2DOF 5-Bar Parallel Manipulator with Closed Chain,' International Journal of the Korean Society of Precision Engineering, Vol. 2, No. 1 pp. 5- 10
  7. Frisoli, A., Prisco, G. M., Salsedo, F. and Bergamasco, M., 1999, 'A Two Degrees-of-Freedom Planar Haptic Interface with High Kinematic Isotropy,' Proc. of IEEE Int. Workshop on Robot and Human Interaction, Pisa, Italy, pp. 297-302 https://doi.org/10.1109/ROMAN.1999.900356
  8. Gao, F., Liu, X. and Gruver, W. A., 1998, 'Performance Evaluation of Two- Degree-of- Freedom Planar Parallel Robots,' Mechanism and Machine Theory, Vol. 33, No.6, pp. 661-668 https://doi.org/10.1016/S0094-114X(97)00102-X
  9. Gregorio, R. D. and Parenti-Castelli, V., 2001, 'Position Analysis in Analytical Form of the 3-PSP Mechanism,' ASME J. of Mechanical Design, Vol. 123, pp.51-57 https://doi.org/10.1115/1.1324670
  10. Gregorio, R. D., 2002, 'Analytic Determination of Workspace and Singularities in a Parallel Pointing System,' J. of Robotic Systems, Vol. 19, pp.37-43 https://doi.org/10.1002/rob.8120
  11. Huang, T., Li, M., Li, Z., Chetwynd, D. G. and Whitehouse, D. J., 2004, 'Optimal kinematic Design of 2-DOF Parallel Manipulators With Well-Shaped Workspace Bounded by a Specified Conditioning Index,' IEEE Trans. on Robotics and Automation, Vol. 20, No.3, pp.538-543 https://doi.org/10.1109/TRA.2004.824690
  12. Joshi, S. and Tsai, L. -W., 2002, 'A Comparison Study of Two 3-DOF Parallel Manipulators: One with Three and the Other with Four Supporting Legs,' Proc. IEEE Int. Conf. on Robotics and Automation, DC, pp. 3690-3697
  13. Kim, H. S. and Tsai, L. -W., 2003, 'Kinematic Synthesis of a Spatial 3-RPS Parallel Manipulator,' ASME J. of Mechanical Design, Vol. 125, pp.92-97 https://doi.org/10.1115/1.1539505
  14. Liu, X. -J., Tang, X. and Wang, J., 2003, 'A Novel 2-DOF Parallel Mechanism Based Design of a New 5-Axis Hybrid Machine Tool,' Proc. of IEEE Int. Conf. on Robotics and Automation, Taipei, Taiwan, pp. 3990- 3995 https://doi.org/10.1109/ROBOT.2003.1242210
  15. Liu, X. -J., Wang, J., Gao, F. and Wang, L. -P., 2001, 'On the Analysis of a New Spatial Three- Degree-of- Freedom Parallel Manipulator,' IEEE Trans. on Robotics and Automation, Vol. 17, No.6, pp.959-968 https://doi.org/10.1109/70.976031
  16. Nam, Y. -J., IEE, Y. -H. and Park, M. K., 2005, 'Kinematic Analysis and Optimal Design of 2RPR-RP Parallel Manipulator,' Tran. of the Korean Society of Mechanical Engineering (Part A), Vol. 29, No. 11, pp. 1509-1517 https://doi.org/10.3795/KSME-A.2005.29.11.1509
  17. Park, M. K., IEE, M. C., Y 00, K. S., Son, K., Yoo, W. S. and Han, M. C., 2001, 'Development of the PNU Vehicle Driving Simulator and Its Performance Evaluation,' Proc. of IEEE Int. Conf. on Robotics and A utomation, Seoul, Korea, pp.2325-2330 https://doi.org/10.1109/ROBOT.2001.932969
  18. Romdhane, L., Am, Z. and Fayet, M., 2002, 'Design and Singularity Analysis of a 3-Translational-DOF In-Parallel Manipulator,' ASME J. of Mechanical Design, Vol. 124, pp.419-426 https://doi.org/10.1115/1.1480815
  19. Stock, M. and Miller, K., 2003, 'Optimal Kinematic Design of Spatial Parallel Manipulators: Application to Linear Delta Robot,' ASME J. of Mechanical Design, Vol. 125, pp.292-301 https://doi.org/10.1115/1.1563632
  20. Wang, J. and Liu, X. -J., 2003, 'Analysis of a Novel Cylindrical 3-DOF Parallel Robot,' Robotics and A utonomous System, Vol. 42, pp. 31-46 https://doi.org/10.1016/S0921-8890(02)00296-8
  21. Wolf, A., Ottaviano, E., Shoham, M. and Ceccarelli, M., 2003, 'Application of Line Geometry and Linear Complex Approximation to Singularity Analysis of the 3-DOF CaPaMan Parallel Manipulator,' Mechanism and Machine Theory, Vol. 39, pp. 75-95 https://doi.org/10.1016/S0094-114X(03)00105-8