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케이싱 오실레이터의 순기구학 해석

Forward Kinematic Analysis of Casing Oscillator

  • 남윤주 (부산대학교 대학원 지능기계공학과) ;
  • 박명관 (부산대학교 기계공학부 및 기계기술연구소)
  • 발행 : 2004.12.01

초록

This paper presents the forward kinematics of the Casing Oscillator that is a construction machine. The Structure of the Casing Oscillator is similar to those of 4 degree-of-freedom mechanisms with a redundancy. With analytical (geometrical) methods, the solutions of the forward position kinematics problem are significantly found by both solving an 8$^{th}$ -order polynomial equation in one unknown variable and using one over-constraint geometrical equation which can be derived under the condition of a redundancy. The proposed forward kinematics has closed-form solutions and allows Auto-Balancing control of the moving platform in real time. Numerical examples are presented and the results are verified by an inverse kinematics analysis.

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참고문헌

  1. Rhee, E. J., Bae, J. M. and Park M. K., 2000, 'A Study on the Inverse Kinematic Analysis of a Casing Oscillator,' Korean Soc. Precision Eng., Vol. 17, No. 12, pp. 47-53
  2. Rhee, E. J., Kim, J. Y, Baek, J. H. and Park, M. K., 2003, 'A Study on the Real Time Auto-Balancing of a Casing Oscillator Using Posture Feedback Control,' Korean Soc. Mech. Eng., Vol. 27, No.5, pp. 688-696 https://doi.org/10.3795/KSME-A.2003.27.5.688
  3. Nanua, P., Waldron, K. J. and Murthy, V., 1990, 'Direct Kinematic Solution of a Stewart Platform,' IEEE Tans. Robot. Automat., Vol. 6, No.4, pp. 438-444 https://doi.org/10.1109/70.59354
  4. Didrit, O., Petitot, M. and Walter, E., 1998, 'Guaranteed Solution of Direct Kinematic Problems for General Configurations of Parallel Manipulators,' IEEE Tans. Robot. Automat., Vol.14, No.2, pp. 259-266 https://doi.org/10.1109/70.681244
  5. Bruyninckx, H., 1999, 'Forward Kinematics for Hunt-Primrose Parallel Manipulators,' Mech. Mach. Theory, Vol. 34, No.4, pp. 657-664 https://doi.org/10.1016/S0094-114X(98)00010-X
  6. Innocenti, C., 2001, 'Forward Kinematics in Polynomial Form of the General Stewart Platform,' ASME J. Mech. Des., Vol. 123, pp. 254-260 https://doi.org/10.1115/1.1348018
  7. Lee, T. Y. and Shim, J. K., 2001, 'Algebraic Elimination-Based Real-Time Forward Kinematics of the 6-6 Stewart Platform with Planar Base and Platform,' Proc. IEEE Int. Conf. Robot. Automat., Seoul, Korea, pp. 1301-1306
  8. Mu, Z. and Kazerounian, K., 2002, 'A Real Parameter Continuation Method for Complete Solution of Forward Position Analysis of the General Stewart,' ASME J. Mech. Des., Vol. 124, No.2, pp. 236-244 https://doi.org/10.1115/1.1446476
  9. Song, S. K. and Kwon, D. S., 2002, ' Geometric Formulation Approach for Determining the Actual Solution of the Forward Kinematics of 6-dof Parallel Manipulators,' Proc. IEEE/RSJ Int. Conf. Intel. Robot. Sys. Lausanne, Switzerland, pp. 1930-1935 https://doi.org/10.1109/IRDS.2002.1044038
  10. Goo, S. H. and Son, K., 2001, 'Study on Forward Kinematics of Stewart Platform Using Neural Network Algorithm together with Newton-Raphson Method,' Korean Soc. Auto. Eng., Vol. 9, No. 1, pp. 156-162
  11. Ha, H. P. and Han, M. C., 2001, 'A Fast Forward Kinematic Analysis of Stewart Platform,' Korean Soc. Mech. Eng. (Part A), Vol. 25, No.3, pp. 339-352
  12. Ku, D. M., 2000, 'Forward Kinematic Analysis ofa 6-3 Type Stewart Plaltform Mechanism,' Proc. Instn. Mech. Eng.(Part K), Vol. 214, No.4, pp. 233-241 https://doi.org/10.1243/0954408001530083
  13. Lee, T. Y. and Shim, J. K., 2001, 'Real-Time Forward Kinematics of the 6-6 Stewart Platform with One Extra Linear Sensor,' Korean Soc. Mech. Eng. (Part A), Vol. 25, No.9, pp. 1384-1390
  14. Han, K. Y., Chung, W. K. and Youm, Y., 1995, 'Local Sturcturization for the Forward Kinematics of Parallel Manipulators Using Extra Sensor Data,' IEEE Int. Conf. Robot. Automat., Nagoya, Japan, pp. 514-520
  15. Merlet, J. P., 1993, 'Closed-Form Resolution of the Direct Kinematics of Parallel Manipulators Using Extra Data,' Proc. IEEE Int. Conf. Robot. Automat., Atlanta, USA, pp. 200-204
  16. Bonev, I. A., Ryu, J., Kim, S. G and Lee, S. K., 2001, 'A Closed-Form Solution to the Direct Kinematics of Nearly General Parallel Manipulators with Optimally Located Three Linear Extra Sensors,' IEEE Tans. Robot. Automat., Vol. 17, No.2, pp. 148-156 https://doi.org/10.1109/70.928560
  17. Nguyen, C. C., Antrazi, S. S., Zhou, Z. L. and Campbell, C. E., 1993, 'Adaptive Control of a Stewart Platform-Based Manipulator,' J. Robot. Sys., Vol, 10, No.5, pp. 657-687 https://doi.org/10.1002/rob.4620100507
  18. Jung, G H. and Lee, K. I., 1994, 'Real-Time Estimation of Stewart Platform Forward Kinematic Solution,' Korean Soc. Meeh. Eng., Vol. 18, No.7, pp. 1632-1642
  19. Lee, H. S., Han, M. C. and Lee, M. C., 1999, 'The Estimation for the Forward Kinemtic Solution of Stewart Platform Using the Neural Network,' Korean Soc. Precision Eng., Vol. 16, No.8, pp. 186-192
  20. Duffy, J., 1996, Statics and Kinematics with applications to Robotics, Cambridge Univ. Press