A rational Krylov subspace method for the unit cell modeling of 2D infinite periodic media

Abstract

This paper presents a model order reduction scheme (MOR) for the forced response of 2D infinite periodic media in the Shift-Cell Operator Method framework. The proposed scheme is based on a multiparamter moment matching technique and is applied to the computation of the sound transmission loss of 2D periodic structures. To that end, a novel technique combining the Shift-Cell Operator Method and the Wave Based Method is developed, enabling the use of the proposed MOR scheme in that context. Both the new modeling technique and proposed MOR scheme are applied to a homogeneous structure and validated by comparison to the Hybrid-WFEM method. They are subsequently applied to a complex doubly stiffened panel for which good reduction factors are obtained, thus demonstrating the efficiency of the proposed modeling strategy.