An extended descriptor form for the numerical integration of multibody systems

DOI10.1016/0168-9274(93)90144-GzbMath0787.65044MaRDI QIDQ1308577

Bernd Simeon

Publication date: 24 May 1994

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical resultsdifferential-algebraic equationsequations of motionRunge-Kutta methodconstrained multibody mechanical systemextended descriptor form

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) (n)-body problems (70F10)

Related Items

A nonlinear truck model and its treatment as a multibody system, The embedded projection method: A general index reduction procedure for constrained system dynamics

Cites Work

• Differential-algebraic equations in vehicle system dynamics
• Numerical solution of differential-algebraic equations for constrained mechanical motion
• Automatic integration of Euler-Lagrange equations with constraints
• Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations
• The application of Rosenbrock-Wanner type methods with stepsize control in differential-algebraic equations
• A family of embedded Runge-Kutta formulae
• Symmetrized half-explicit methods for constrained mechanical systems
• The Drazin inverse in multibody system dynamics
• A nonlinear truck model and its treatment as a multibody system
• h2-Extrapolation methods for differential-algebraic systems of index 2
• Differential-Algebraic Systems as Differential Equations on Manifolds
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