Reduced symmetric models for modal analysis of internal structural-acoustic and hydroelastic-sloshing systems. (English) Zbl 0971.74032

Summary: We investigate several variational formulations for modal analysis of bounded fluid-structure systems, taking into account 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 particular, we study the behaviour of fluid-structure equations in the zero-frequency static limit.


74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
76Q05 Hydro- and aero-acoustics
76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
76M30 Variational methods applied to problems in fluid mechanics
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