Abstract
In the context of the study of structures coupled with internal liquids, we present in this article a theoretical work to treat the coupling between the structure elasticity and the surface tension phenomenon, which has not been the object of specific studies before (according to the authors knowledge). Considering an incompressible and inviscid liquid in an elastic container, an energy approach is used to obtain a variational formulation of the small amplitude vibrations of the coupled problem around the nonlinear static equilibrium position. The incompressibility of the liquid supposed inviscid and the contact condition at the fluid-structure interface are introduced by Lagrange multipliers. Gravitational forces and surface tensions are both taken into account considering their associated potential energies.
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Miras, T., Schotté, JS. & Ohayon, R. Energy approach for static and linearized dynamic studies of elastic structures containing incompressible liquids with capillarity: a theoretical formulation. Comput Mech 50, 729–741 (2012). https://doi.org/10.1007/s00466-012-0786-7
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DOI: https://doi.org/10.1007/s00466-012-0786-7