Differential-algebraic equations in multibody system modeling

Numerical Algorithms

Volumn 19, Issue 1-4, 1998, Pages 183-194

  Pogorelo, D ^a  

^a BRYANSK STATE TECHNICAL UNIVERSITY   (Russian Federation)

Author keywords

DAE; Linear multi step methods; Multibody systems

Indexed keywords

EID: 0032282325     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. T. Andrzejewski, H.G. Bock, E. Eich and R. von Schwerin, Recent advances in the numerical integration of multibody systems, in: Advanced Multibody System Dynamics - Simulation and Software Tools, ed. W. Schiehlen (Kluwer Academic, Dordrecht, 1993) pp. 127-151.
2. G.B. Efimov and D. Pogorelov, Some algorithms for computer-aided generation of multibody system equations, Preprint, Inst. Appl. Math. RAS 84, Moscow (1993) (in Russian).
3. C. Fuhrer and B. Leimkuhler, Numerical solution of differential-algebraic equations for constrained mechanical motion, Numer. Math. 59 (1991) 55-69.
4. C.W. Gear, The simultaneous numerical solution of differential/algebraic equations, IEEE Trans. Circuit Theory 18 (1971) 89-95.
5. C.W. Gear, G.K. Gupta and B. Leimkuhler, Automatic integration of Euler-Lagrange equations with constraints, J. Comput. Appl. Math. 12, 13 (1985) 77-90.
6. R.D. Grigorieff, Numerik Gewöhnlicher Differentialgleichungen, Band 2, Mehrschrittverfahren (Teubner, Stuttgart, 1977).
7. E. Hairer and G. Wanner, Solving Ordinary Differential Equations II, Stiff and Differential-Algebraic Problems (Springer, Berlin/Heidelberg/New York, 1996).
8. P. Lötstedt and L.R. Petzold, Numerical solution of nonlinear differential equations with algebraic constraints I: Convergence results for backward differentiation formulas, Math. Comput. 46 (1986) 491-516.
9. K.C. Park, An improved stiffly stable method for direct integration of nonlinear structural dynamic equations, J. Appl. Mech. (June 1975) 464-470.
10. D. Pogorelov, Numerical modelling of the motion of systems of solids, Comput. Math. Math. Phys. 35(4) (1995) 501-506.
11. W. Schiehlen, ed., Multibody Systems Handbook (Springer, Berlin, 1990).
12. L.F. Shampine, Numerical Solution of Ordinary Differential Equations (Chapman & Hall, New York, 1994).
13. L.F. Shampine and M.K. Gordon, Computer Solution of Ordinary Differential Equations, The Initial Value Problem (Freeman, San Francisco, CA, 1975).
14. R.A. Wehage and E.J. Haug, Generalized coordinate partitioning for dimension reduction in analysis of constrained dynamic systems, J. Mech. Design 104 (1982) 247-255.
15. J. Wittenburg, Dynamics of Systems of Rigid Bodies (Teubner, Stuttgart, 1977).