An index reduction method in holonomic system dynamics

Computational Fluid and Solid Mechanics 2003

Volumn , Issue , 2003, Pages 126-130

  Borri, Marco ^a   Lorenzo, Trainelli ^a   Alessandro, Croce ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

Constrained systems; Differential algebraic equations; Embedded Projection Method; Holonomic systems; Multibody dynamics

Indexed keywords

EMBEDDED SYSTEMS; INTEGRATION;

CONSTRAINED SYSTEMS; DIFFERENTIAL ALGEBRAIC EQUATIONS; HOLONOMIC SYSTEM; MULTI-BODY DYNAMIC; PROJECTION METHOD;

ALGEBRA;

EID: 84941711400     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-008044046-0.50033-6     Document Type: Chapter

References (9)

1. Brenan KE, Campbell SL, Petzold LR Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations 1989, Elsevier Science, New York.
2. Gear CW Differential-algebraic equation index transformations. SIAM J Sci Stat Comput 1988, 9(1):40-47.
3. Hairer E, Wanner G Solving Ordinary Differential Equations-II: Stiff Problems 1991, Springer-Verlag, Berlin.
4. Ascher U, Chin H, Petzold LR, Reich S Stabilization of constrained mechanical systems with daes and invariant manifolds. J Mech Struct Machines 1995, 23:135-158.
5. Borri M, Bottasso CL, Trainelli L An index reduction method in non-holonomic system dynamics. Computational Fluid and Solid Mechanics, Vol. 1 (Proceedings of the 1st MIT Conference on Computational Fluid and Solid Mechanics) 2001, 74-77. Elsevier, Oxford. K.J. Bathe (Ed.).
6. Borri M, Bottasso CL, Trainelli L An embedded projection method for constrained dynamics. NATO-ARW on Computational Aspects of Nonlinear Structural Systems with Large Rigid Body Motions. Pultusk, Poland 2000.
7. Borri M, Trainelli L A new formulation of constrained dynamical systems. 16th IMACS World Congress 2000.
8. Borri M, Trianelli L, Croce A. The Embedded Projection Method: A general index reduction procedure for constrained system dynamics. Appl Numer Math. submitted.
9. Gear CW, Gupta GK, Leimkuhler B Automatic integration of the Euler-Lagrange equation with constraints. J Comput Appl Math 1985, 12:77-90.