Reduced models for fluid-structure interaction problems

Several so-called reduced order formulations are reviewed for linear vibration analysis of bounded fluid–structure systems for low modal density situations. Compressibility effects in the fluid for interior structural–acoustic problems, and free surface gravity effects, for hydroelastic–sloshing interaction problems in the case of incompressible liquids, are examined. Reduced order models leading to symmetric matrix systems are then described using the static well-posed behaviour of the irrotational fluid. In this respect, the fluid–structure boundary value local equations, expressed in terms of fluid scalar field variables for the fluid (and displacement variables for the structure) are regularized for zero-frequency limit