Abstract
A closed upright rigid circular cylindrical tank is filled with a compressible and inviscid fluid, as a part of the tank roof is an annular elastic plate. It is supposed that the tank roof and the annular elastic plate are concentric and the annular plate is clamped. The problem about the determination of the free coupling vibrations of the received hydroelastic system is considered and the frequencies equations are obtained using the Bubnov-Galerkin method. Some numerical examples are made and they show the influence of the sizes of the inner and outer radiuses of the annular elastic plate, as well as the other parameters of the hydroelastic system on its coupled frequencies.
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