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Manipulability Analysis of a New Parallel Rolling Mill Based upon Two Stewart Platforms

두 개의 스튜어트 플랫폼을 이용한 병렬형 신 압연기의 조작성 해석

  • 이준호 (부산대학교 지능기계공학과) ;
  • 홍금식 (부산대학교 공과대학 기계공학부)
  • Published : 2003.11.01

Abstract

The manipulability analysis of the parallel-type rolling mill proposed in Hong et al. [1] is re-visited. The parallel rolling mill uses two Stewart platforms in opposite direction for the generation of 6 degree-of-freedom motions of each roll. The objective of this new parallel rolling mill is to permit an integrated control of the strip thickness, strip shape, pair crossing angle, uniform wear of rolls, and tension of the strip. New forward/inverse kinematics problems, in contrast with [1], are formulated. The forward kinematics problem is defined as the problem of finding the roll-gap and the pair-crossing angle of two work rolls for given lengths of twelve legs. On the other hand, the inverse kinematics problem is defined as the problem of finding the lengths of twelve legs when the roll-gap, the pair-crossing angle, and the position and orientation of one work roll are given. The method of manipulability analysis used in this paper follows the spirit of [1]. But, because the rolling force and moment exerted from both upper and lower rolls have been included in the manipulability analysis, more accurate results than the use of a single platform can be achieved. Two. kinematic parameters, the radius of the base and the angle between two neighboring joints, are optimally designed by maximizing the global manipulability measure in the entire workspace.

Keywords

References

  1. K. S. Hong, S. H. Lee, and C. Choi, 'Optimal Design of a New Rolling Mill Based upon Stewart Platform: Maximization of Manipulability,' (in Korean) Journal of Control, Automation, and Systems Engineering, vol. 8, no. 9, pp. 764-775, 2002 https://doi.org/10.5302/J.ICROS.2002.8.9.764
  2. B. J. Ahn and K. S. Hong, 'Force/Moment Transmissionability Analysis of a Parallel Manipulator,' Journal of the Korean Society of Precision Engineering, vol. 13, no. 4, pp. 109-121, 1996
  3. B. Dasgupta and T. S. Mruthyunjaya, 'The Stewart Platform Manipulator: A Review,' Mechanism and Machine Theory, vol. 35,pp. 15-40,2000 https://doi.org/10.1016/S0094-114X(99)00006-3
  4. E. F. Fichter, 'A Stewart Platform Based Manipulator: General Theory and Practical Construction,' International Journal of Robotics Research, vol. 5, no. 2,pp. 157-181, 1986 https://doi.org/10.1177/027836498600500216
  5. D. Stewart, 'A Platform with Six Degrees of Freedom,' Proceedings of the Institution of Mechanical Engineers, vol. 180, no. 15,pp.371-386,1965 https://doi.org/10.1243/PIME_PROC_1965_180_029_02
  6. W. D. Callister, Materials Science and Engineering, 3rd edition, John Wiley & Sons, 1994
  7. C. M. Gosselin and J. Angeles, 'Singularity Analysis of Closed-Loop Kinematic Chains,' IEEE Transactions on Robotics and Automation, vol. 6, no. 3, pp. 281-290, 1990 https://doi.org/10.1109/70.56660
  8. D. Kim and W. Chung, 'Analytic Singularity Equation and Analysis of Six-DOF Parallel Manipulators Using Local Structurization Method,' IEEE Transactions on Robotics and Automation, vol. 15, no. 4,pp. 612-622,1999 https://doi.org/10.1109/70.781965
  9. O. Ma and J. Angeles, 'Architecture Singularities of Platform Manipulators,' IEEE International Conference on Robotics and Automation, Sacramento, California, pp. 1542-1547, 1991 https://doi.org/10.1109/ROBOT.1991.131835
  10. M. K. Lee and K W. Park, 'Kinematic and Dynamic Analysis of a Double Parallel Manipulator for Enlarging workspace and Avoiding Singularities,' IEEE Transaction on Robotics and Automation, vol. 15, no. 6,pp. 1024-1034, 1999 https://doi.org/10.1109/70.817667
  11. M. K. Lee and K W. Park, 'Workspace and Singularity Analysis of a Double Parallel Manipulator,' IEEE/ASME Transactions on Mechatronics, vol. 5, no. 4, pp. 367-375, 2000 https://doi.org/10.1109/3516.891048
  12. M. K. Lee and K. W. Park, 'Singularity Analysis with respect to the Workspace of a Double Parallel Manipulator,' KSME International Joumal, vol. 13, no. 4, pp. 368-375,1999 https://doi.org/10.1007/BF02939325
  13. L. Baron and J. Angeles. 'The Direct Kinematics of Parallel Manipulators under Joint-Sensor Redundancy,' IEEE Transactions on Robotics and Automation, vol. 16, no. 1, pp. 12-19,2000 https://doi.org/10.1109/70.833183
  14. J. P. Merlet, Parallel Robots, Kluwer Academic Publishers, 2000
  15. P. Nanua, K. J. Waldron, and V. Murthy, 'Direct Kinematic Solution of a Stewart Platform,' IEEE Transactions on Robotics and Automation, vol. 6, no. 4, pp. 438-444,1990 https://doi.org/10.1109/70.59354
  16. M. W. Spong and M. Vidyasagar, Robot Dynamics and Control, John Wiley & Sons, 1989
  17. K. S. Hong and J. G. Kim, 'Manipulability Analysis of a Parallel Machine Tool: Application to Optimal Link Parameter Design,' Journal of Robotics Systems, vol. 17, no. 8, pp. 403-415, 2000 https://doi.org/10.1002/1097-4563(200008)17:8<403::AID-ROB1>3.0.CO;2-J
  18. B.-J. Yi, W.-K. Kim, and K.-K. Huh, 'Kinematic! Dynamic Optimal Design of a Stewart Platform Mechanism,' Journal of Control, Automation, and Systems Engineering, vol. 2, no. 1, pp.45-52,1996