Dual number method, rank of a screw system and generation of Lie sub-algebras

Mechanism and Machine Theory

Volumn 33, Issue 7, 1998, Pages 1063-1084

  Hao, K ^a  

^a UNIVERSITÉ PARIS EST   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSIFICATION (OF INFORMATION); LINEAR ALGEBRA; MATRIX ALGEBRA; PARAMETER ESTIMATION; SET THEORY;

SCREW THEORY;

SCREWS;

EID: 0032182497     PISSN: 0094114X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0094-114X(97)00121-3     Document Type: Article

References (17)

1. Ball, R. S., A Treatise on the Theory of Screws, Cambridge University Press, 1900.
2. Chevallier, D. P., Mechanism and Machine Theory, 1991, 26(6), 613-627.
3. Chevallier, D. P., in Computational Kinematics. Kluwer Academic Publisher, Dordrecht, 1995.
4. Dimentberg, F. M., Vintovoye ischisleniye i yego prilozheniya v mekhanike, (The screw calculus and its applications in mechanics. English translation (1968), Foreign Technology Division of the US Air Force, WP-APB, Ohio. [10.10, 12.3] "Nauka", 1965.
5. Dizioglu, B., Mechanism and Machine Theory, 1976, 32, 139-153.
6. Donelan, P. S. and Gibson, C. G., Acta Applicandae Mathematicae, 1991, 24, 233-251.
7. Hervé, J. M., Mechanism and Machine Theory, 1978, 13, 437-450.
8. Hunt, K. H., Kinematic Geometry of Mechanisms, 2 and 3, Oxford University, Clarendon, 1978.
9. Ogino, S., Bulletin of JSME, 1968, 11(45), 509-515.
10. Olinde-Rodrigues, M., Journal de Mathématiques Pures et Appliquées. 5(1) 380-440.
11. Phillips, J. R. and Hunt, K. H., Applied Science, 1964, 15, 267-287.
12. Roth, B., Engineering for Industry. 89B(1) 1990, pp. 102-110.
13. Sugimoto, K. and Duffy, J., Mechanism and Machine Theory, 1982, 17(1), 73-83.
14. Varadarajan, V. S., Lie Groups, Lie Algebras and their Representations, Springer Verlag, 1974, 26(6), 613-627.
15. Veldkamp, G. R., Mechanism and Machine Theory, 1976, 11, 141-156.
16. Voinea, R. P. and Atanasiu, M. C., Revue de Mécanique Appliquée, 1962, 7, 845-860.
17. Yang, A. T. and Freudenstein, F., Applied Mechanics, 1964, 86, 300-308.