Stabilization methods for the integration of DAE in the presence of redundant constraints

Multibody System Dynamics

Volumn 10, Issue 1, 2003, Pages 81-105

  Neto, Maria Augusta ^a   Ambrósio, Jorge ^b  

^a UNIVERSITY OF COIMBRA   (Portugal)

^b Instituto Superior Tecnico Institute for Mechanical Engineering   (Portugal)

Author keywords

Constraint vibration; Differential algebraic equations; Multibody systems; Pseudo inverse

Indexed keywords

ALGEBRA; INTEGRATION; ITERATIVE METHODS;

MULTIBODY SYSTEMS;

DIFFERENTIAL EQUATIONS;

EID: 0041695338     PISSN: 13845640     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1024567523268     Document Type: Conference Paper

References (11)

1. Nikravesh, P.E., Computer-Aided Analysis of Mechanical Systems, Prentice Hall, Englewood Cliffs, NJ, 1988.
2. Petzold, L., Serban, R., Li, S., Raha, S. and Cao, Y., 'Sensitivity analysis and design optimization of differential-algebraic equation systems', in Computational Aspects of Nonlinear Structural Systems with Large Rigid Body Motion, J. Ambrósio and M. Kleiber (eds.), IOS Press, Amsterdam, 2001, 153-167.
3. Wehage, R. and Haug, E., 'Generalized coordinate partitioning of dimension reduction in analysis of constrained dynamic systems', ASME Journal of Mechanical Design 104, 1982, 247-255.
4. Baumgarte, J., 'Stabilization of constraints and integrals of motion'. Conceptual Methods of Applied Mechanics and Engineering 1, 1972, 1-66.
5. Jalon, J. de and Bayo, E., Kinematic and Dynamic Simulation of Multibody Systems, Springer-Verlag, Heidelberg, 1993.
6. Arabyan, A. and Wu, F., 'An improved formulation for constrained mechanical systems', Multibody Systems Dynamics 2(1), 1998, 49-69.
7. Kim, S.S., Vanderploeg, M.J., 'QR decomposition for state space representation of constrained mechanical dynamical systems', ASME Journal of Mechanisms, Transmissions, and Automation in Design 108, 1986, 183-188.
8. Singh, R.P. and Likins, P.W., 'Singular value decomposition for constrained dynamical systems', Journal of Applied Mechanics 52, 1985, 943-948.
9. Meijaard, J.P., 'Applications of the single value decomposition in dynamics', Computer Methods in Applied Mechanics and Engineering 103, 1993, 161-173.
10. Udwadia, F.E. and Kalaba, R.E., Analytical Dynamics: A New Approach, Cambridge University Press, Cambridge, 1996.
11. Pina, H.L.G., Métodos Numéricos (Numerical Methods), McGraw-Hill, Lisboa, Portugal, 1995