Time-integral variational principles for nonlinear nonholonomic systems

Journal of Applied Mechanics, Transactions ASME

Volumn 64, Issue 4, 1997, Pages 985-991

  Papastavridis, J G ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001288741     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2789010     Document Type: Article

References (14)

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3. Hamel, G., 1904, “Ober die virtuellen Verschiebungen in der Mechanik,” Mathematische Annalen, Vol. 59, pp. 416-434.
4. Hamel, G., 1924, “Uber nichtholonome Systeme,” Mathematische Annalen, Vol. 92, pp. 33-41.
5. Hamel, G., 1949, Theoretische Mechanik, Springer, Berlin, pp. 492-499.
6. Maurer, L., 1905, “Cber die Differentialgleichungen der Mechanik,” Kgl Ges. d. Wiss. Gdttingen, Nachrichten, Math.-Phys. Klasse, Heft 2, pp. 91-116.
7. Mei, F.-X., 1985, Foundations of Mechanics ofNonholonomic Systems, Beijing Institute of Technology Press, Beijing (in Chinese).
8. Neimark, J. I., and Fufaev, N. A., 1972 Dynamics of Nonholonomic Systems, American Mathematical Society, Providence, RI (originally in Russian, 1967).
9. Novoselov, V. S., 1966, Variational Methods in Mechanics, Leningrad University Press, Leningrad (in Russian).
10. Rumiantsev, V. V., 1978, “On Hamilton’s Principle for Nonholonomic Systems,” J. Applied Math. Mech. (PMM), Vol. 42, pp. 407-419.
11. Rumiantsev, V. V., 1979, “On the Lagrange and Jacobi Principles for Nonholonomic Systems,” J. Appl. Math. Mech. (PMM), Vol. 43, pp. 625-632.
12. Suslov, G. K., 1901-2, “On a particular variant of d’Alembert’s Principle,” Matematisheskii Svornik, Vol. 22, pp. 687-691 (in Russian).
13. Suslov, G. K., 1946, Theoretical Mechanics, Technical/Theoretical Literature (Gostehizdat), Moscow and Leningrad (in Russian).'
14. Voronets, P., 1901-2, “On the Equations of Motion for Nonholonomic Systems,” Matematisheskii Svornik, Vol. 22, pp. 659-686 (in Russian).