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                <title xml:lang="en">Compressibility and gravity effects in internal fluid−structure vibrations: Basic equations and appropriate variational formulations</title>
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              <p>Various variational formulations for the linear vibrations of bounded fluid-structure systems, taking into account possible gravity/acoustic interactions are investigated and discussed. The system consists of a tank partially filled with an inviscid liquid. Two situations corresponding to the cases of a homogeneous and a non-homogeneous liquid are considered. In this respect, the basic equations describing the interactions between acoustic and gravity waves are derived and appropriate variational formulations are constructed.</p>
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