Determination of the unique orientation of two bodies connected by a ball-and-socket joint from four measured displacements

Journal of Robotic Systems

Volumn 15, Issue 5, 1998, Pages 299-308

  Zhang, Yu ^a   Crane III, Carl D ^a   Duffy, Joseph ^a  

^a University of Florida   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

JOINING; JOINTS (STRUCTURAL COMPONENTS); KINEMATICS; MEASUREMENT ERRORS; POSITION MEASUREMENT; VEHICLES;

TWO BODY ORIENTATION;

LIGHT TRAILERS;

EID: 0032074187     PISSN: 07412223     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-4563(199805)15:5<299::AID-ROB4>3.0.CO;2-J     Document Type: Article

References (16)

1. D. Stewart, "A platform with six degrees of freedom," in Proc. Inst. Mech. Eng., London, Vol. 180, 1965, pp. 371-386.
2. K. H. Hunt, Kinematic Geometry of Mechanisms, Oxford University Press, London, 1978.
3. K. H. Hunt, "Structural kinematics of in-parallel-actuated robot arms," Trans. ASME J. Mech. Transmissions Automat. Design, 105, 705-712, 1983.
4. M. G. Mohamed and J. Duffy, "A direct determination of the instantaneous kinematics of fully parallel robotic manipulators," ASME J. Mech. Transmissions Automat. Design, 107, 226-229, 1985.
5. E. F. Fichter, "A Stewart platform-based manipulator: general theory and practical construction," Int. J. Robot. Res., 5, 157-182, 1986.
6. K. Sugimoto, "Kinematic and dynamic analysis of parallel manipulators by means of motor algebra," ASME J. Mech. Transmissions Automat. Design, 109, 3-7, 1987.
7. K. Sugimoto, "Computational scheme for dynamic analysis of parallel manipulators," Proceedings of the ASME 20th Biennial Mechanisms Conference, 1988, pp. 59-64.
8. J. Rees-Jones, "Cross coordinate control of robotic manipulators," Proceedings of the International Workshop on Nuclear Robotic Technologies and Applications, Present and Future, University of Lancaster, England, June 29-July 1, 1987.
9. D. R. Kerr, "Analysis, properties, and design of a Stewart-platform transducer," Proceedings of the ASME 20th Biennial Mechanisms Conference, 1988, pp. 139-145.
10. M. Griffis and J. Duffy, "A forward displacement analysis of a class of Stewart platforms," J. Robot. Syst., 6, 703-720, 1989.
11. M. Raghavan, "The Stewart platform of general geometry has 40 configurations," ASME J. Mech. Design, 115, 277-282, 1993.
12. C. W. Wampler, "Forward displacement analysis of general six-in-parallel SPS (Stewart) platform manipulators using soma coordinates," Mech. Mach. Theory, 31, 331-337, 1996.
13. C. Innocenti, "Closed-form determination of the location of a rigid body by seven in-parallel linear transducers," Proceedings of the ASME 24 th Biennial Mechanisms Conference, Irvine, CA, 1996.
14. C. Innocenti and V. Parenti-Castelli, "Echelon form solution of direct kinematics for the general fullyparallel spherical wrist," Mech. Mach. Theory, 28, 553-561, 1993.
15. K. Wohlhart, "Displacement analysis of the general spherical Stewart platform," Mech. Mach. Theory, 29, 581-589, 1994.
16. B. R. Donald, D. Kapur, and J. L. Mundy, Symbolic and Numerical Computation for Artificial Intelligence, Harcourt Brace Jovanovich, San Diego, 1992.