A Free Interface CMS Technique to the Resolution of Coupled Problem Involving Porous Materials, Application to a Monodimensional Problem

This paper proposes a Component Mode Synthesis technique for the resolution of problems involving coupled substructures including porous materials. This technique is based on normal modes. A modal subfamily is selected for each substructure. Attachment modes are added in order to take into account the influence of non preserved modes. These attachment modes concern both the interface between substructures through interaction forces as well as the external excitation on substructures. A simple criterion based on the evaluation of a residual vector is proposed and allows an automatic selection of the number of preserved modes.The method is compared to an analytical model in the case of two 1D configurations. The ability of the method to handle coupled systems is shown. The proposed approach perfectly matches with the analytical solution.