On the Equations of Kinematics and Dynamics of Constrained Mechanical Systems

Multibody System Dynamics

Volumn 6, Issue 1, 2001, Pages 17-28

  Muharliamov, R ^a  

^a PEOPLES FRIENDSHIP UNIVERSITY OF RUSSIA   (Russian Federation)

Author keywords

Constraints; Differential algebraic equations; Dynamical equations; Kinematics; Lagranges equations; Numerical solution; Rigid body

Indexed keywords

EID: 0041877209     PISSN: 13845640     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011432023992     Document Type: Article

References (16)

1. Begen, A., Anshutce and Sperri Gyroscopic Compasses Theory and the General Theory of Systems with Servo-Constraints, Science Press, Moscow, 1967 [in Russian].
2. Shulgin, M.F., On Some Differential Equations of Analytic Dynamics and Its Integration, Middle Asia University Publishing House, Tashkent, 1958 [in Russian].
3. Chetaev, N.G., 'On constrained motions', Motion Stability. Works on Analytic Mechanics, AS USSR Publishing House, Moscow, 1962, 329-335 [in Russian].
4. Baumgarte, J., 'Stabilization of constraints and integrals of motion in dynamical systems', Computer Methods in Applied Mechanics and Engineering 1, 1972, 1-16.
5. Ascher, U.M., Hongsheng C., Petzold, L.R. and Reich, S., 'Stabilization of constrained mechanical systems with DAEs and invariant manifolds', Journal of Mechanics of Structures and Machines 23, 1995, 135-158.
6. Rentrop, P., Strehmel, K. and Weiner, R., 'Ein Überblick über Einschrittverfaren zur numerischen Integration in der technischen Simulation', GAMM-Mitteilungen 19(1), 1966, 9-43.
7. Erugin, N.P., 'The constructing of the whole differential equations systems multitude, having prescribed integral curve', Applied Mathematics and Mechanics XXI(6), 1952, 659-670 [in Russian].
8. Muharliamov, R.G., 'The constructing of the set of differential equations systems, having prescribed integrals', Differential Equations 3(2), 1967, 180-192 [in Russian].
9. Muharliamov, R.G., 'On numerical solving of differential-algebraic equations', Bulletin RPFU, Ser. Applied Mathematics and Informatics 1, 1999, 20-24 [in Russian].
10. Muharliamov, R.G., 'Robots programmed motion control', Bulletin RPFU, Ser. Applied Mathematics and Informatics 1, 1998, 22-39 [in Russian].
11. Muharliamov, R.G., 'Programmed motion control of adaptive optical system', Bulletin RPFU, Ser. Applied Mathematics and Informatics 1, 1994, 22-41 [in Russian].
12. Levi-Civita, T. and Amaldi, U., The Course of Theoretical Mechanics, Vol. 2, Foreign Lit. Publishing House, Moscow, 1951 [in Russian].
13. Muharliamov, R.G., 'On mechanical systems equations of motion', Differential Equations 19(12), 1983, 2048-2056 [in Russian].
14. Galliulin, A.S., Gafarov, G.G., Malaishka, R.P. and Hvan, A.M., Gelmgolce, Bircgoff, Nambu Systems Analytical Dynamics, Editorial Board of Advances of Physical Sciences and Marlen Publishing House, Moscow, 1997 [in Russian].
15. Muharliamov, R.G., 'The constructing of multitude of stable motion differential equations systems having given integral manifold', Differential Equations 5(4), 1969, 688-699 [in Russian].
16. Bozis, G. and Ichtiaroglou, S., 'Existence and construction of dynamical systems having a prescribed integral of motion - An inverse problem', Inverse Problems 3, 1987, 213-227.