Multi‐model Arlequin method for transient structural dynamics with explicit time integration. (27th April 2017)

• Record Type: Journal Article
• Authors: Fernier, Alexandre; Faucher, Vincent; Jamond, Olivier
• Is Part Of: International journal for numerical methods in engineering. Volume 112:Number 9(2017)
• Page Start: 1194
• Page End: 1215
• Publication Date: 2017-04-27
• Subjects: Arlequin method -- multi‐model -- structural dynamics -- explicit time integration -- stability; Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.5553
• Languages: English
• ISSNs: 0029-5981

Abstract

Summary: 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. Computational tests confirm that the two approaches effectively preserve a feasible critical time step and show the efficiency of the Arlequin method for structural explicit dynamic simulations. Copyright © 2017 John Wiley & Sons, Ltd.