The formulation of dynamical equations of holonomic mechanical systems using a natural orthogonal complement

Journal of Applied Mechanics, Transactions ASME

Volumn 55, Issue 1, 1988, Pages 243-244

  Angeles, Jorge ^a   Lee, Sang Koo ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

KINEMATICS;

DYNAMICAL EQUATIONS; HOLONOMIC MECHANICAL SYSTEMS; UNCONSTRAINED DYNAMICAL EQUATIONS;

DYNAMICS;

EID: 0023979660     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.3173642     Document Type: Article

References (8)

1. Casey, J., 1983, “A Treatment of Rigid Body Dynamics,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 50, pp. 905-907.
2. Jerkovsky, W., 1978, “The Structure of Multibody Dynamical Equations,” J. of Guidance and Control, Vol. 1, No. 3, pp. 173-182.
3. Kamman, J. W., and Huston, R. L., 1984, “Dynamics of Constrained Multibody Systems,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 51, pp. 899-903.
4. Kane, T. R., 1968, Dynamics, Holt, Rinehart and Winston, New York.
5. Kim, S. S., and Vanderploeg, M. J., 1986a, “A General and Efficient Method for Dynamic Analysis of Mechanical Systems Using Velocity Transformations,” J. of Mech., Transm., and Auto, in Design, Vol. 108, pp. 176-182.
6. Kim, S. S., and Vanderploeg, M. J., 1986b, “QR Decomposition for State Space Representation of Constrained Mechanical Dynamic Systems,” J. of Mech. Transm., and Auto, in Design, Vol. 108, pp. 183-188.
7. Nikravesh, P. E., and Huag, E. J., 1982, “Generalized Coordinate Partitioning for Analysis of Mechanical Systems with Nonholonomic Constraints,” J. of Mech. Design, Vol. 104, No. 1, p. 247-255.
8. Singh, R. P., and Likins, P. W., 1985, “Singular Value Decomposition for Constrained Dynamical Systems,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 52, pp. 943-948.