A New Efficient Matrix Algorithm for a 3D Component Mode Synthesis (CMS) Model Used on Sound Transmission Problems

The main goal of this study is to present an alternative and more efficient algorithm for a three-dimensional Component Mode Synthesis model to be used on sound transmission problems. The influence of fluid-structure interaction on airborne sound transmission problems is analysed using this model, which is based on simple volume geometries. In principle, the same procedure can also be applied when the component modes are obtained from alternative numerical techniques. The modal behaviour of acoustic volumes and a partition is implemented in two steps. The novelty of this alternative model is that the structural modes are incorporated on the acoustic CMS components. In other words, each acoustic volume considers not only the acoustic modes of the volumes but also the structural modes of the partition. Comparison is made with predictions based on a modal model of which particle velocity continuity was not incorporated in the formulation.