en
Scientific article
English

A half-explicit Runge-Kutta method of order 5 for solving constrained mechanical systems

ContributorsBrasey, Valérie
Published inComputing, vol. 48, no. 2, p. 191-201
Publication date1992
Abstract

A new half-explicit Runge-Kutta method for the numerical integration of differential-algebraic systems of index 2 is constructed. It is particularly efficient for the solution of the equations of motion of constrained mechanical systems. Numerical experiments and comparisons with other codes (DASSL, MEXX) demonstrate the efficiency of the new method.Ein neues halb-explizites Runge-Kutta Verfahren zur numerischen Integration von Algebro-Differentialgleichungen von Index 2 wird hergeleitet. Es ist besonders effizient für die numerische Lösung der Bewegungsgleichungen von mechanischen Systemen mit Nebenbedingungen. Numerische Beispiele und Vergleiche mit anderen Programmen (DASSL, MEXX) zeigen die Effizienz des neuen Verfahrens.

Keywords
  • Differential-algebraic systems
  • Runge-Kutta methods
  • Order conditions
  • Constrained multibody systems
Citation (ISO format)
BRASEY, Valérie. A half-explicit Runge-Kutta method of order 5 for solving constrained mechanical systems. In: Computing, 1992, vol. 48, n° 2, p. 191–201. doi: 10.1007/BF02310533
Identifiers
ISSN of the journal1436-5057
509views
0downloads

Technical informations

Creation10/11/2010 6:12:00 PM
First validation10/11/2010 6:12:00 PM
Update time03/14/2023 4:07:25 PM
Status update03/14/2023 4:07:25 PM
Last indexation01/15/2024 9:42:05 PM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack