Cylindrical tanks partially filled with liquid are the most general type of reservoirs for oil and other chemical-dangerous agent storage. Destruction of such tanks under seismic or impulsive load can lead to negative ecological consequences. The analysis method of dynamic behavior of cylindrical tanks partially filled with liquid that are under short-time impulsive load is under consideration. The method relies on reducing the problem of determining the fluid pressure to the system of singular integral equations. The coupled problem is solved using combination BEM and FEM. Differential equations of transient problem are solved numerically by Runge-Kutta method of 4th and 5th order. Numerical investigations of forced vibrations of the cylindrical tank filled with the incompressible fluid under seismic load have been carried out.

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In this paper we consider vibrations of the baffled elastic fuel tank partially filled with a liquid. The compound shell was a simplified model of a fuel tank. The shell is considered to be thin and the Kirchhoff-Love linear theory hypotheses are applied. The liquid is supposed to be an ideal and incompressible one and its flow introduced by the vibrations of a shell is irrotational. The problem of the fluid-structure interaction was solved using the reduced boundary and finite element methods. The tank structure was modeled by the FEM and the liquid sloshing in a fluid domain was described by using the multi-domain BEM. The rigid and elastic baffled tanks of different forms were considered. The dependencies of frequencies via the filling level were obtained numerically for vibrations of the fluid-filled tanks with and without baffles. Keywords: baffles, fluid-structure interaction, free vibrations, liquid sloshing, multi-domain boundary element method, systems of singular integral equations.

The paper presents a fluid-structure interaction analysis of fuel tanks with cylindrical and spherical compartments partially filled with a liquid. The compound shell of revolution is considered as a container model. The shell is supposed to be thin, so the Kirchhoff-Love linear theory hypotheses are applied. The liquid is an ideal and incompressible one. Its properties and filling levels may be different within each compartment. The shell vibrations coupled with liquid sloshing under the force of gravity have been considered. The tank structure is modelled by a finite element method, whereas liquid sloshing in the compartments is described by a boundary element method. A system of singular integral equations is obtained for evaluating the fluid pressure. At the first stage, both spherical and cylindrical fluid-filled unconnected rigid shells are considered. Different filling levels as well as small radii of free surfaces are taken into account in problems of liquid sloshing in spherical shells. The sloshing frequencies in the presence of complete or partially covered free surfaces are determined for cylindrical shells. The boundary element method has proven to be effective and accurate in all the problems considered. At the second stage, the natural frequencies and modes of the dual compartment tank are obtained including sloshing, elasticity, and gravity effects.

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