Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
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Kinematic Analysis and Optimal Design of 3-PPR Planar Parallel Manipulator

  • Park, Kee-Bong (Robot & Croup, Intelligence & Precision Machine of Machinery and Materials)
  • Published : 2003.04.01
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Abstract

This paper proposes a 3-PPR planar parallel manipulator, which consists of three active prismatic Joints, three passive prismatic joints, and three passive rotational joints. The analysis of the kinematics and the optimal design of the manipulator are also discussed. The proposed manipulator has the advantages of the closed type of direct kinematics and a void-free workspace with a convex type of borderline. For the kinematic analysis of the proposed manipulator, the direct kinematics, the inverse kinematics, and the inverse Jacobian of the manipulator are derived. After the rotational limits and the workspaces of the manipulator are investigated, the workspace of the manipulator is simulated. In addition, for the optimal design of the manipulator, the performance indices of the manipulator are investigated, and then an optimal design procedure Is carried out using Min-Max theory. Finally. one example using the optimal design is presented.

Keywords

References

  1. Ben-Horin, R., Shoham, M. and Djerassi, S., 1998, 'Kinematics, Dynamics and Construction of a Planarly Actuated Parallel Robot,' Robotics and Computer-Integrated Manufacturing, Vol. 14, No. 2, pp. 163-172 https://doi.org/10.1016/S0736-5845(97)00035-5
  2. Byun, Y.-K., 1997, Analysis and Design of a 6 Degree of Freedom 3-PPS(RRR)P Parallel Manipulator, Ph. D. Dissertation in Korea Advanced Institute of Science and Technology
  3. Kim, J., Park, F. C., Ryu, S. J., Kim, J., Hwang, J. C., Park, C. and Iurascu, C. C., 2001, 'Design and Analysis of a Redundantly Actuated Parallel Mechanism for Rapid Machining,' IEEE Transactions on Robotics and Automation, Vol. 17, No. 4, pp. 423-434 https://doi.org/10.1109/70.954755
  4. Lee, J. H., Yi, B.-J., Oh, S.-R. and Suh, I. H., 2001, 'Optimal Design and Development of a Five-Bar Finger with Redundant Actuation,' Mechatronics, Vol. 11, pp. 27-42 https://doi.org/10.1016/S0957-4158(99)00089-6
  5. Lee, S. H., Yi, B. J. and Kwak, Y. K., 1996, 'Optimal Dynamic Design of Anthropomorphic Robot Module with Redundant Actuators,' KSME International Journal, Vol. 10, No. 3, pp. 265-276 https://doi.org/10.1007/BF02942635
  6. Liu, X.-J., Jin, Z.-L. and Gao, F., 2000, 'Optimal Design of a 3-DOF Spherical Parallel Manipulators with Respect to the Conditioning and Stiffness Indices,' Mechanism and Machine Theory, Vol. 35, pp. 1257-1267 https://doi.org/10.1016/S0094-114X(99)00072-5
  7. Merlet, J.-P., 1996, 'Direct Kinematics of Plannar Parallel Manipulators,' Proceedings of the 1996 IEEE International Conference on Robotics and Automation, Minneapolis, Minnesota, pp. 3744-3749 https://doi.org/10.1109/ROBOT.1996.509284
  8. Merlet, J.-P., 2000, Parallel Robots, Kluwer Academic Publishers
  9. Nakamura, Y., 1991, Advanced Robotics Redundancy and Optimization, Addison-Wesley Publishing Company
  10. Ryu, J. W., Gweon, D.-G. and Moon, K. S., 1997, 'Optimal Design of a Flexure Hinge Based $XY{theta}$ Wafer Stage,' Precision Engineering, Vol. 21, pp. 18-28 https://doi.org/10.1016/S0141-6359(97)00064-0
  11. Terano, T., Asai, K. and Sugeno, M., 1992, Fuzzy systems theory and its applications, 1st ed. San Diego, Harcourt Brace Jovanovitch
  12. Wang, Z., Wang, Z., Liu, W. and Lei, Y., 2001, 'A Study on Workspace, Boundary Workspace Analysis and Workpiece Positioning for Parallel Machine Tools,' Mechanism and Machine Theory, Vol. 36, pp. 605-622 https://doi.org/10.1016/S0094-114X(01)00009-X
  13. Yi, B. J. and Kim, W. K., 1994, 'Optimal Design of a Redundantly Actuated 4-Legged Six Degree of Freedom Parallel Manipulator Using Composite Design Index,' KSME International Journal, Vol. 8, No. 4, pp. 385-403 https://doi.org/10.1007/BF02944711
  14. Yoshikawa, T., 1990, Foundations of Robotics Analysis and Control, The MIT Press Cambridge, Massachusetts London, England