Forward kinematics in polynomial form of the general stewart platform

Proceedings of the ASME Design Engineering Technical Conference

Volumn 1A-1998, Issue , 1998, Pages

  Innocenti, Carlo ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

DIGITAL ARITHMETIC; KINEMATICS; MANIPULATORS;

COMPLEX DOMAINS; FLOATING-POINT COMPUTATION; FORWARD KINEMATICS; PARALLEL MANIPULATORS; POLYNOMIAL EQUATION; POLYNOMIAL FORM; STEWART PLATFORMS; UNIVARIATE;

POLYNOMIALS;

EID: 85037955995     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC98/MECH-5894     Document Type: Conference Paper

References (15)

1. Bottema, O., and Roth, B., 1979, Theoretical Kinematics, North-Holland Publishing Co., Amsterdam.
2. Cheng, H., and Gupta, K. C., 1989, ?An Historical Note on Finite Rotations, ? ASME Journal of Applied Mechanics, Vol. 56, No. 1, pp. 139-145.
3. Dasgupta, B., and Mruthyunjaya, T. S., 1996, ?A Constructive Predictor-Corrector Algorithm for the Direct Position Kinematics Problem for a General 6-6 Stewart Platform, ? Mechanism and Machine Theory, Vol. 31, No. 6, pp. 799-811.
4. Fichter, E. F., 1986, ?A Stewart Platform-Based Manipulator: General Theory and Practical Construction, ? The International Journal of Robotics Research, Vol. 5, No. 2, pp. 157-182.
5. Husty, M. L., 1996, ?An Algorithm for Solving the Direct Kinematics of General Stewart-Gough Platforms, ? Mechanism and Machine Theory, Vol. 31, No. 4, pp. 365-380.
6. Innocenti, C., 1997, ?A New Algorithm for the Direct Kinematics of the 6-5 Fully-Parallel Manipulator, ? Proc. of the 5th Applied Mechanisms & Robotics Conference, Cincinnati (OH), Oct. 12-15, paper No. AMR97-039.
7. Korn, G. A., and Korn, T. M., 1961, Mathematical Handbook for Scientists and Engineers, McGraw-Hill, New York.
8. Lazard, D., 1993, ?On the Representation of Rigid-Body Motions and Its Application to Generalized Platform Manipulators, ? in Computational Kinematics, Kluwer Academic Publishers, the Netherlands, pp. 175-181.
9. Nielsen, J., and Roth, B., 1996, ?The Direct Kinematics of the General 6-5 Stewart-Gough Mechanism, ? in Recent Advances in Robot Kinematics, Kluwer Academic Publishers, pp. 7-16.
10. Raghavan, M., 1993, ?The Stewart Platform of General Geometry Has 40 Configurations, ? ASME Journal of Mechanical Design, Vol. 115, No. 2, pp. 277-282.
11. Ronga, F., and Vust, T., 1995, ?Stewart Platforms without Computer, Proc. of the Conference on Real Analytic and Algebraic Geometry, Trento, Sept. 21-25, 1992, W. de Gruyter Verlag, Berlin, pp. 197-212.
12. Wampler, C. W., 1996, ?Forward Displacement Analysis of General Six-in-Parallel SPS (Stewart) Platform Manipulators Using Soma Coordinates, ? Mechanism and Machine Theory, Vol. 31, No. 3, pp. 331-337.
13. Wen, F., and Liang, C. G., 1994, ?Displacement Analysis of the 6-6 Stewart Platform Mechanisms, ? Mechanism and Machine Theory, Vol. 29, No. 4, pp. 547-557.
14. Wolfram, S., 1996, The Mathematica Book, 3rd ed., Wolfram Media, Champaign/Cambridge University Press, Cambridge.
15. Zhang, C. D., and Song, S. M., 1994, ?Forward Position Analysis of Nearly General Stewart Platforms, ? ASME Journal of Mechanical Design, Vol. 166, No. 1, pp. 54-60.