[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 :
Physique Ingénierie mécanique
Auteur, co-auteur :
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
Langue du document :
Anglais
Titre :
Convergence of the generalized-alpha scheme for constrained mechanical systems
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