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.
Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.