Conservative motion of discrete, tetrahedral tops and gyroscopes

Applied Mathematical Modelling

Volumn 22, Issue 1-2, 1998, Pages 57-68

  Greenspan, Donald ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

Conservative simulation; Gyroscopes; Lumped mass; Tops

Indexed keywords

BODIES OF REVOLUTION; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; GYROSCOPES; INVARIANCE; MATHEMATICAL MODELS;

CONSERVATIVE SIMULATION; TOPS;

MOLECULAR DYNAMICS;

EID: 0031676612     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0307-904X(98)00008-0     Document Type: Article

References (9)

1. H. Goldstine, Classical Mechanics, 2nd ed. ch. iv, v Addison-Wesley, Reading, MA, 1980.
2. R.P. Feynman, R.B. Leighton, M. Sands, The Feynman Lectures on Physics, vol. I, Addison-Wesley, Reading, MA, 1963, Section 20, pp. 5-8.
3. D. Greenspan, Arithmetic Applied Mathematics, Pergamon Press, Oxford, 1980.
4. Greenspan D. Completely conservative, covariant numerical methodology. Comp. Math. Appl. 29:1995;37.
5. D. Greenspan, Technical Report #314, Mathematics Department, UT Arlington, Arlington, TX, 1996.
6. D. Greenspan, Particle Modeling, Birkhauser, Boston, 1997.
7. A. Gray, Gyrostatics And Rotational Motion, Dover, New York, 1959.
8. L.D. Landau, E.M. Lifshitz, Mechanics, 3rd ed., Pergamon Press, Oxford, 1976, p. 112.
9. Greenspan D. Supercomputer simulation of cracks and fractures by quasimolecular simulation. J. Phys. Chem. Solids. 50:1989;1245.