An extended descriptor form for the numerical integration of multibody systems
type: Item
instance of: scholarly article
title: An extended descriptor form for the numerical integration of multibody systems
zbMATH Open document ID: 0787.65044
DOI: 10.1016/0168-9274(93)90144-G
published in: Applied Numerical Mathematics
publication date: 1994-05-24T00:00:00Z
review text: By using stabilizing multipliers and projection techniques to control the drift effects, the author transforms the equations of motion of index 2 of a constrained multibody mechanical system to an extended descriptor form of index 1. This form is represented as a linear system of ordinary differential equations and can be solved by Runge-Kutta and other standard integration methods when a supplementary symmetric matrix decomposition is necessary. Some numerical results and diagrams are shown.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 70-08
Mathematics Subject Classification ID: 70F10
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 459326
zbMATH Keywords: differential-algebraic equations
zbMATH Keywords: Runge-Kutta method
zbMATH Keywords: equations of motion
zbMATH Keywords: constrained multibody mechanical system
zbMATH Keywords: extended descriptor form
zbMATH Keywords: numerical results
author: B. Simeon
reviewed by: Snezhana Gocheva-Ilieva
MaRDI profile type: Publication
cites work: Symmetrized half-explicit methods for constrained mechanical systems
cites work: Q3993493
cites work: A family of embedded Runge-Kutta formulae
cites work: Q4693178
cites work: Numerical solution of differential-algebraic equations for constrained mechanical motion
cites work: Automatic integration of Euler-Lagrange equations with constraints
cites work: Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations
cites work: Q3779682
cites work: Q4000061
cites work: Q3780699
cites work: h2-Extrapolation methods for differential-algebraic systems of index 2
cites work: Q4026266
cites work: The application of Rosenbrock-Wanner type methods with stepsize control in differential-algebraic equations
cites work: Differential-Algebraic Systems as Differential Equations on Manifolds
cites work: Differential-algebraic equations in vehicle system dynamics
cites work: The Drazin inverse in multibody system dynamics
cites work: A nonlinear truck model and its treatment as a multibody system
cites work: Q4295559
cites work: Q4023802
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description: scientific article; zbMATH DE number 459326