Abstract :
It is proposed to investigate several variational formulations for modal analysis of bounded fluid–structure systems, taking into account in particular compressibility effects in the fluid for internal vibroacoustic problems, either gravity effects, in the context of an incompressible fluid, for hydroelastic-sloshing interaction problems. Appropriate reduced symmetric matrix models are constructed using zero-frequency static solutions of the fluid. In this respect, attention is paid to the behaviour of the fluid–structure equations with regard to their validity for zero-frequency static limit.