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Volumn 69, Issue 3, 2002, Pages 335-339

What is the general form of the explicit equations of motion for constrained mechanical systems?

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; ALGORITHMS; EQUATIONS OF MOTION; FRICTION; HAMILTONIANS; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; MATRIX ALGEBRA; VECTORS;

EID: 0036588355     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1459071     Document Type: Article
Times cited : (110)

References (15)
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    • Gauss, C.F., 1829, "Uber Ein Neues Allgemeines Grundgesetz der Mechanik," J. Reine Agnew. Math., 4, pp. 232-235.
    • (1829) J. Reine Agnew. Math. , vol.4 , pp. 232-235
    • Gauss, C.F.1
  • 3
    • 0001775652 scopus 로고
    • On the fundamental formulas of dynamics
    • Gibbs, J.W., 1879, "On the Fundamental Formulas of Dynamics," Am. J. Math., 2, pp. 49-64.
    • (1879) Am. J. Math. , vol.2 , pp. 49-64
    • Gibbs, J.W.1
  • 4
    • 0001675104 scopus 로고
    • Sur une forme geuerale des equations de la dynamique
    • Appell, P., 1899, "Sur une forme geuerale des equations de la dynamique," C. R. Acad. Sci., Paris, 129, pp. 459-460.
    • (1899) C. R. Acad. Sci., Paris , vol.129 , pp. 459-460
    • Appell, P.1
  • 5
    • 0001229661 scopus 로고
    • Sur une forme nouvelle des equations de la mecanique
    • Poincare, H., 1901, "Sur une forme nouvelle des equations de la mecanique," C.R. Acad. Sci., Paris, 132, pp. 369-371.
    • (1901) C.R. Acad. Sci., Paris , vol.132 , pp. 369-371
    • Poincare, H.1
  • 8
    • 0000178613 scopus 로고
    • On the reciprocal of the general algebraic matrix
    • Moore, E.H., 1920, "On the Reciprocal of the General Algebraic Matrix," Bull. Am. Math. Soc., 26, pp. 394-395.
    • (1920) Bull. Am. Math. Soc. , vol.26 , pp. 394-395
    • Moore, E.H.1
  • 9
    • 84947145047 scopus 로고
    • A generalized inverse of matrices
    • Penrose, R., 1955, "A Generalized Inverse of Matrices," Proc. Cambridge Philos. Soc., 51, pp. 406-413.
    • (1955) Proc. Cambridge Philos. Soc. , vol.51 , pp. 406-413
    • Penrose, R.1
  • 12
    • 0033700074 scopus 로고    scopus 로고
    • Non-ideal constraints and Lagrangian dynamics
    • Jan.
    • Udwadia, F.E., and Kalaba, R.E., 2000, "Non-ideal Constraints and Lagrangian Dynamics," Journal of Aerospace Engineering, 13, Jan., pp. 17-22.
    • (2000) Journal of Aerospace Engineering , vol.13 , pp. 17-22
    • Udwadia, F.E.1    Kalaba, R.E.2
  • 13
    • 0011010367 scopus 로고    scopus 로고
    • Explicit equations of motion for systems with non-ideal constraints
    • Udwadia, F.E., and Kalaba, R.E., 2001, "Explicit Equations of Motion for Systems With Non-ideal Constraints," ASME J. Appl. Mech., 68, pp. 462-467.
    • (2001) ASME J. Appl. Mech. , vol.68 , pp. 462-467
    • Udwadia, F.E.1    Kalaba, R.E.2
  • 14
    • 0034311604 scopus 로고    scopus 로고
    • Fundamental principles and lagrangian dynamics: Mechanical systems with non-ideal, holonomic, and nonholonomic constraints
    • Udwadia, F.E., 2000, "Fundamental Principles and Lagrangian Dynamics: Mechanical Systems With Non-ideal, Holonomic, and Nonholonomic Constraints," J. Math. Anal. Appl., 251, pp. 341-355.
    • (2000) J. Math. Anal. Appl. , vol.251 , pp. 341-355
    • Udwadia, F.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.