Convergence of the generalized-α scheme for constrained mechanical systems

Martin Arnold (1) , Olivier Brüls (2)

1 Martin-Luther-University Halle-Wittenberg
2 Département d’Aérospatiale et de Mécanique [Liège]

A variant of the generalized-α 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.

Mots clés: DAE; Generalized-α method

Domaines: Sciences de l'ingénieur [physics]

Martin Arnold, Olivier Brüls. Convergence of the generalized-α scheme for constrained mechanical systems. Multibody System Dynamics, 2007, 85, pp.187-202. ⟨10.1007/s11044-007-9084-0⟩. ⟨hal-01490825⟩