DOI QR코드

DOI QR Code

Optimal Design of a New Rolling Mill Based upon Stewart Platform Manipulator : Maximization of Kinematic Manipulability

병렬구조 신 압연기의 최적설계 : 조작성 및 제어성능의 최대화

  • Hong, Geum-Sik (School of Mechanical Engineering, Pusan National Uinversity) ;
  • Lee, Seung-Hwan (Dept.of Intelligent Mechanical Engineering, Graduate School of Busan National University) ;
  • Choe, Jin-Tae (Research Institute of Industrial Science and Technology)
  • 홍금식 (부산대학교 공과대학 기계공학부) ;
  • 이승환 (부산대학교 대학원 지능기계공학과) ;
  • 최진태 (포항산업과학연구원)
  • Published : 2002.09.01

Abstract

A kinematic and dynamic optimal design of a new parallel-type rolling mill based upon Stewart platform manipulator is investigated. To provide sufficient degrees-of-freedom in the rolling process and the structural stability of each stand, a parallel manipulator with six legs is considered. The objective of this new parallel-type rolling mill is to permit an integrated control of the strip thickness, strip shape, pair crossing angle, uniform wear of the rolls, and tension of the strip. By splitting the weighted Jacobian matrices Into two parts, the linear velocity, angular velocity, force, and moment transmissivities are analyzed. A manipulability measure, the ratio of the manipulability ellipsoid volume and the condition number of a split Jacobian matrix, is defined. 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. The maximum force needed in the hydraulic actuator is also calculated using the structure determined through the kinematic analysis and the Plucker coordinates. Simulation results are provided.

Keywords

References

  1. W. L. Roberts, Hot Rolling of Steel, Marcel Dekker, New York, 1983
  2. C. M. Gosselin, 'Determination of the workspace of 6-DOF parallel manipulators,' Transactions of the ASME, Journal of Mechanical Design, Vol. 112, pp. 331-336, 1990 https://doi.org/10.1115/1.2912612
  3. 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
  4. J. P. Merlet, Pararell Robots, Kluwer Academic Publishers, 2000
  5. J. W. Kim, F .C. Park, S. J. Ryu, J. W. Kim, J. C. Hwang, C. B. Park, and C. C. Iurascu, '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, 2001 https://doi.org/10.1109/70.954755
  6. 윤정원, 류제하, '병렬구조를 이용한 새로운 6자유도 역감제시장치의 설계 및 해석,' 제어.자동화시스템공학 논문지, 제 7 권, 제 1 호, pp. 32-40, 2001
  7. W. D. Callister, Materials Science and Engineering, 3rd edition, John Wiley & Sons, 1994
  8. 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
  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. J. J. Craig, Introduction to Robotics, 2nd edition, Addison Wesley, 1989
  11. M. W. Spong and M. Vidyasagar, Robot Dynamics and Control, John Wiley & Sons, 1989
  12. 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
  13. G. Strang, Linear Algebra and Its Applications, 3rd edition, Harcourt Brace Jovanovich, Inc., 1988
  14. 안병준, 홍금식, '병렬형 매니퓰레이터의 힘/모우멘트의 전달특성에 관한 연구,' 한국정밀공학회지, 제 13 권, 제 4 호, pp. 109-121, 1996
  15. K. H. Hunt, Kinematic Geometry of Mechanisms, Oxford University Press, 1978
  16. 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