Multi model Arlequin Method for fast transient dynamics in explicit time integration

Alexandre Fernier (1) , Vincent Faucher (1) , Olivier Jamond (1)

1 CEA-DES (ex-DEN) - CEA-Direction des Energies (ex-Direction de l'Energie Nucléaire)

This paper addresses the explicit time integration for solving multi-model structural dynamics by the Arlequin method. Our study focuses on the stability of the central difference scheme in the Arlequin framework. Although the Arlequin coupling matrices can introduce a weak instability, the time integrator remains stable as long as the initial kinematic conditions of both models agree on the coupling zone. After showing that the Arlequin weights have an adverse impact on the critical time step, we present two approaches to circumvent this issue and test them on relevant examples

Mots clés: Arlequin method; Multi model; Structural dynamics; Explicit time integration; Stability

Domaines: Mécanique des structures [physics.class-ph]

Alexandre Fernier, Vincent Faucher, Olivier Jamond. Multi model Arlequin Method for fast transient dynamics in explicit time integration. 13e colloque national en calcul des structures, Université Paris-Saclay, May 2017, Giens, Var, France. ⟨hal-01926479⟩