The development of a Component Mode Synthesis (CMS) model for three-dimensional fluid–structure interaction

Abstract

Our main aim in this paper is to develop analytically the three-dimensional Component Mode Synthesis method and to use it on fluid-structure interaction problems, such as sound transmission between coupled volumes. This will be shown for simple volume geometries, but, in principle, the same procedure can be applied when the component modes are obtained from numerical techniques, such as the Finite Element Model ͑FEM͒ or Boundary Element Method ͑BEM͒. The modal behavior of acoustic volumes and a partition is implemented in two steps. The first extension here is based on a one-dimensional model where the transverse acoustic modes of the volumes are incorporated into the formulation. The second extension, which is more general, considers not only the transverse acoustic modes of the volumes, but also structural modes of the partition. A comparison is made with predictions based on a modal model using the normal modes of rigid walled enclosures separated by a simply supported partition. For the latter modal model, particle velocity continuity was not incorporated in the formulation.

Modeling Analysis on Propagation of Structure-Borne Vibration Caused by an Indoor Distribution Transformer in a Building and Its Control Method

“…Magalhaes [15] predicted the sound power radiated by a floating floor system using a model that used fluid-structure interaction and the Jinc function approach. Magalhaes and Ferguson [16] analytically developed the three-dimensional Component Mode Synthesis method and used it on studying sound transmission between coupled volumes. Sanayei et al [17] developed an impedance model to study ground-borne vibrations caused by passing traffic in the test building.…”

Efficient Calculation of the Response of a Structural Acoustic System Under Aerodynamic Excitations

“…Modal reduction techniques have been successfully applied in [6,10,11], but they usually require analytical expressions of the modal data of the subsystems which are not always available (e.g for composite structures of arbitrary geometry). Recently, the moment matching approaches for the reduction of large scale second order systems have received much attention [12,13,14,15].…”