Convergence of the generalized-alpha scheme for constrained mechanical systems

Arnold, Martin; Bruls, Olivier

doi:10.1007/s11044-007-9084-0

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Article (Scientific journals)

Convergence of the generalized-alpha scheme for constrained mechanical systems

Arnold, Martin; Bruls, Olivier

2007 • In Multibody System Dynamics, 18 (2), p. 185-202

Peer reviewed

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https://hdl.handle.net/2268/27094

DOI
10.1007/s11044-007-9084-0

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Keywords :

DAEs; generalized-alpha method

Abstract :

[en] A variant of the generalized-alpha scheme is proposed for constrained mechanical systems represented by index-3 DAEs. Based on the analogy with linear multistep methods, an elegant convergence analysis is developed for this algorithm. Second-order convergence is demonstrated both for the generalized coordinates and the Lagrange multipliers, and those theoretical results are illustrated by numerical tests.

Disciplines :

Physics
Mechanical engineering

Author, co-author :

Arnold, Martin; Martin Luther University Halle > NWF III - Institute of Mathematics

Bruls, Olivier ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures

Language :

English

Title :

Convergence of the generalized-alpha scheme for constrained mechanical systems

Publication date :

September 2007

Journal title :

Multibody System Dynamics

ISSN :

1384-5640

eISSN :

1573-272X

Publisher :

Springer, Dordrecht, Netherlands

Volume :

Issue :

Pages :

185-202

Peer reviewed :

Peer reviewed

Available on ORBi :

since 28 October 2009

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Scopus citations^®

358

Scopus citations^®
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321

OpenCitations

234

OpenAlex citations

335

Bibliography

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