Numerical problems in the dynamical simulation of wheel-rail systems

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 76, Issue SUPPL. 3, 1996, Pages 151-154

  Arnold, M ^a  

^a UNIVERSITY OF ROSTOCK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346912351     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. ARNOLD, M.: The geometry of wheel-rail contact. In: K. Frischmuth, editor, The dynamical simulation of wheel-rail systems. University of Rostock, Department of Mathematics, Preprint 94/21, 1994.
2. ARNOLD, M.: A perturbation analysis for the dynamical simulation of mechanical multibody systems. University of Rostock, Department of Mathematics, Preprint 94/24, 1994. appears in Applied Num. Math.
3. ARNOLD, M.: Numerische Probleme in der dynamischen Simulation von Rad-Schiene-Systemen. Z. Angew. Math. Mech., 75 (1995), 677-678.
4. ARNOLD, M.; NETTER, H.: Ein modifizierter Korrektor für die stabilisierte Integration differential-algebraischer Systeme mit von Hessenbergform abweichender Struktur. Technical Report IB 515-93-03, DLR, D-5000 Köln 90, 1993.
5. ARNOLD, M.; STREHMEL, K.; WEINER, R.: Errors in the numerical solution of nonlinear differential-algebraic systems of index 2. Technical Report 11(1995), Martin-Luther-University Halle, Department of Mathematics and Computer Science.
6. FÜHRER, C.: Differential-algebraische Gleichungssysteme in mechanischen Mehrkörpersystemen. Theorie, numerische Ansätze und Anwendungen. Technical report, TU München, Mathematisches Institut und Institut für Informatik, 1988.
7. FÜHRER, C.; LEIMKUHLER, B.: Numerical solution of differential-algebraic equations for constrained mechanical motion. Numer. Mathematik 59 (1991), 55-69.
8. GEAR, C.W.; GUPTA, G.K.; LEIMKUHLER, B.: Automatic integration of Euler-Lagrange equations with constraints. J. Comp. Appl. Math. 12&13 (1985), 77-90.
9. HAIRER, E.; WANNER, G.: Solving Ordinary Differential Equations.II. Stiff and Differential-Algebraic Problems. Springer-Verlag, Berlin Heidelberg New York, 1991.
10. SIMEON, B.; FÜHRER, C.; RENTROP, P.: Differential-algebraic equations in vehicle system dynamics. Surveys on Mathematics for Industry 1 (1991), 1-37.