Dual numbers representation of rigid body dynamics

Mechanism and Machine Theory

Volumn 34, Issue 5, 1999, Pages 693-718

  Brodsky, V ^a   Shoham, M ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS;

DUAL INERTIA OPERATOR; LAGRANGE EQUATION; RIGID BODY DYNAMICS;

DYNAMICS;

EID: 0032659155     PISSN: 0094114X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0094-114X(98)00049-4     Document Type: Article

References (36)

1. W.K. Clifford, Proc. London Mathematic Society, 4, 1873, p. 381.
2. F.M. Dimentberg, The Screw Calculus and its Applications in Mechanics, (Izdat. 'Nauka', Moscow, USSR, 1965) English translation: AD680993, Clearinghouse for Federal and Scientific Technical Information.
3. E. Study, Geommetry der Dynamen. Leipzig, 1901.
4. J. Rooney, Proc. 4th World Congress of IFToMM5, 1089, Newcastle-upon-Tyne, England, 1075.
5. Hsia L.M., Yang A.T. ASME J. of Mech. Des. 103:1981;652.
6. Martinez J.M.R., Duffy J. J. Mech. Mach. Theory. 26:(1):1993;165.
7. Brodsky V., Shoham M. ASME J. of Mech. Des. 116:1994;1089.
8. L. Brand, Vector and Tensor Analysis. 7th printing, Wiley, New York, 1958.
9. Chevallier D.P. Mechm. Mach. Theory. 31:(1):1996;57.
10. Woo L.S., Freudenstein F. J. Mechm. 5:1970;417.
11. Veldkamp G.R. Mechm. Mach. Theory. 11:1976;141.
12. Keler M.L. Envir. Plann. B. 6:1979;403.
13. Pennock G.R., Yang A.T. ASME J. of Mechm, Transm. Automn Des. 105:1983;28-34.
14. McCarthy J.M. Int. J. Rob. Res. 5:(2):1986;45.
15. Gu Y.L., Luh J.Y.S. IEEE J. Rob. Automn. RA:(3 6):1987;615.
16. Pradeep A.K., Yoder P.J., Mukundan R. Int. J. Rob. Res. 8:(5):1989;55.
17. Chevallier D.P. Mechm. Mach. Theory. 26:(6):1991;613.
18. M.A. Gonzalez-Palacios, Angeles J., Cam Synthesis. Kluwer, Dordrecht, 1993.
19. Cheng H.H. Engng. Comp. 10:(4):1994;212.
20. Yang A.T. ASME J. Engng. Ind. Series B:(93):1971;27.
21. A.T. Yang, Basic Questions of Design Theory. W. R. Spillers (Ed.)., 265, North-Holland, Amsterdam, 1974.
22. Bagci C. ASME J. Engng. Ind. 94:1079;738.
23. Lee I.P.J., Soni A.H. J. Mech. Des. 101:1979;569.
24. J.Y.S. Luh, Y.L. Gu, Proc. 1984 Conf. Information Sciences and Systems, 680, Princeton, NJ, March 1984, 1984.
25. B.V. Akselrod, Mekhanika Tverdogo Tela (Mechanics of Solids ). 20, Allerton Press, (1985), p. 79.
26. L. Yanzhu, Acta Mechanica Sinica. 4, Science Press, Beijing, China, Allerton Press, (1988).
27. Selig J.M. Prikladnaya Matematika i Mekhanika. J. of Applied Math. and Mech. 55:(2):1991.
28. Pennock G.R., Oncu B.A. ASME J. Dyn. Sys. Meas. and Contr. 114:(2):1992;262.
29. Agrawal S.K. ASME J. Mech. Des. 115:1993;833.
30. Baklouti M., Castelain J.M. J. Rob. Systems. 10:(2):1993;271.
31. K. Wohlhart, J.-P. Merlet, B. Ravani, (Eds.), Computational Kinematics, 93, Kluwer, Dordrecht, (1995).
32. V. Brodsky, M., Shoham 2nd ECPD Int. Conf. on Advanced Robotics, Intelligent Automation and Active Systems. Vienna, Austria, (1996).
33. F.M. Dimentberg, Theory of Hinted Spatial Mechanisms, Nauka. Moscow, USSR, 1982).
34. R.S. Ball, A Treatise on the Theory of Screws. Cambridge University Press, Cambridge, 1900.
35. A. Karger, J. Novak, Space Kinematics and Lie Groups. Gordon and Breach, New York, 1985.
36. Shoham M., Srivatsan R. Rob. Comput.-integrat. Manufact. 9:(3):1992;219.