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Efficient corrector iteration for DAE time integration in multibody dynamics

Arnold, Martin ; Fuchs, Andreas and Führer, Claus LU (2006) In Computer Methods in Applied Mechanics and Engineering 195(50-51). p.6958-6973
Abstract
Efficient time integration is a key issue in computational multibody dynamics. Implicit time integration methods for stiff systems and constrained systems require the solution of a system of nonlinear equations in each time step. The nonlinear equations are solved iteratively by Newton type methods that are tailored to the structure of the equations of motion in multibody dynamics. In the present paper we discuss classical and recent methods for reducing the numerical effort in the application to multibody systems that are modelled in joint coordinates. The methods have been implemented in an industrial multibody system simulation package. Results of numerical tests for two benchmark problems from vehicle dynamics are presented.
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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Multibody dynamics, DAE time integration, Corrector iteration
in
Computer Methods in Applied Mechanics and Engineering
volume
195
issue
50-51
pages
6958 - 6973
publisher
Elsevier
external identifiers
  • wos:000240893900008
  • scopus:33748045484
ISSN
0045-7825
DOI
10.1016/j.cma.2005.02.034
language
English
LU publication?
yes
additional info
The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)
id
24c951fd-02f4-42f3-a218-2e23024ced78 (old id 627488)
alternative location
http://www.mathematik.uni-halle.de/reports/sources/2004/04-29report.pdf
date added to LUP
2016-04-01 17:01:52
date last changed
2024-05-24 17:25:05
@article{24c951fd-02f4-42f3-a218-2e23024ced78,
  abstract     = {{Efficient time integration is a key issue in computational multibody dynamics. Implicit time integration methods for stiff systems and constrained systems require the solution of a system of nonlinear equations in each time step. The nonlinear equations are solved iteratively by Newton type methods that are tailored to the structure of the equations of motion in multibody dynamics. In the present paper we discuss classical and recent methods for reducing the numerical effort in the application to multibody systems that are modelled in joint coordinates. The methods have been implemented in an industrial multibody system simulation package. Results of numerical tests for two benchmark problems from vehicle dynamics are presented.}},
  author       = {{Arnold, Martin and Fuchs, Andreas and Führer, Claus}},
  issn         = {{0045-7825}},
  keywords     = {{Multibody dynamics; DAE time integration; Corrector iteration}},
  language     = {{eng}},
  number       = {{50-51}},
  pages        = {{6958--6973}},
  publisher    = {{Elsevier}},
  series       = {{Computer Methods in Applied Mechanics and Engineering}},
  title        = {{Efficient corrector iteration for DAE time integration in multibody dynamics}},
  url          = {{https://lup.lub.lu.se/search/files/4852352/1370269}},
  doi          = {{10.1016/j.cma.2005.02.034}},
  volume       = {{195}},
  year         = {{2006}},
}