Multi-scale modelling for two-dimensional periodic structures using a combined mode/wave based approach
We study wave propagation characteristics in 2D periodic beam grid. The proposed method combines mode-based method (CMS) with wave-based method (WFEM). We obtain a gain of 99% in computing time by the proposed method on reduced model. In the reduced model, the unit cell modes under 3?fmax 3 ? f max should be included. The waves at bounding frequencies of stop band are proved to be stationary.
multi-scale modelling periodic structures wave-mode duality component mode synthesis wave finite element method wave beaming effect