Equations of motion for mechanical systems: A unified approach

International Journal of Non-Linear Mechanics

Volumn 31, Issue 6 SPEC. ISS., 1996, Pages 951-958

  Udwadia, Firdaus E ^a  

^a University of Southern California ^*  (United States)

Author keywords

Equivalence of different equation sets; Gauss's principle; Generalized inverse equations of motion; Gibbs Appell equations of motion; Lagrange's equations of motion; Nonholonomic systems

Indexed keywords

CONSTRAINT THEORY; DEGREES OF FREEDOM (MECHANICS); DYNAMICS; LAGRANGE MULTIPLIERS; MATRIX ALGEBRA; VECTORS; VELOCITY;

GAUSS PRINCIPLE; GENERALIZED INVERSE EQUATIONS; GIBBS-APPELL EQUATIONS; LAGRANGE EQUATIONS; MECHANICAL SYSTEMS; NEWTONS LAW;

EQUATIONS OF MOTION;

EID: 0030290245     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7462(96)00116-3     Document Type: Article

References (6)

1. J. L. Lagrange, Mechanique Analytique, Vols 1 and 2. Gauthier-Villars, Paris (1788).
2. W. Gibbs, On the fundamental formulae of mechanics. Am. J. Math. 2, 49 (1879).
3. P. Appell, Traite de Mecanique Rationelle, Tome II (2nd edition). Paris (1904).
4. F. E. Udwadia and R. E. Kalaba, A new perspective on constrained motion. Proc. Roy. Soc. London A 439, 407 (1992).
5. C. F. Gauss, Uber ein Neues Allgemeine Grundgesatz der Mechanik. J. Reine Angewandte Mathematik 4, 232 (1829).
6. P. Appell, Exemple de movement d'un point assujeti a une liason exprime par une relation non lineaire entre les composantes de la vitesse. Comptes Rendus p. 48 (1911).