Explicit equations of motion for mechanical systems with nonideal constraints

Journal of Applied Mechanics, Transactions ASME

Volumn 68, Issue 3, 2001, Pages 462-467

  Udwadia, F E ^a   Kalaba, R E ^a  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011010367     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.1364492     Document Type: Article

References (12)

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4. Appell, P., 1899, “Sur une Forme Generale des Equations de la Dynamique,” C. R. Acad. Sci., Paris, 129, pp. 459-460.
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6. Dirac, P. A. M., 1964, Lectures in Quantum Mechanics, Yeshiva University, New York.
7. Udwadia, F. E., and Kalaba, R. E., 1992, “A New Perspective on Constrained Motion,” Proc. R. Soc. London, Ser. A, 439, pp. 407-410.
8. Udwadia, F. E., and Kalaba, R. E., 1996, Analytical Dynamics: A New Approach, Cambridge University Press, Cambridge, UK.
9. Goldstein, H., 1981, Classical Mechanics, Addison-Wesley, Reading, MA.
10. Udwadia, F. E., and Kalaba, R. E., 2000, “Non-ideal Constraints and Lagrang-ian Dynamics,” J. Aerosp. Eng., 13, pp. 17-22.
11. Penrose, R., 1955, “A Generalized Inverse of Matrices,” Proc. Cambridge Philos. Soc., 51, pp. 406-413.
12. Udwadia, F. E., and Kalaba, R. E., 1995, “The Geometry of Constrained Motion,” Z. Angew. Math. Mech., 75, pp. 637-640.