On the liquid added mass under the oscillations of the elastic rod floating on the aquatorium surface

The article introduces the approximate solution to the problem of estimating the liquid added mass as well as the solution to the plane boundary value problem of small transverse oscillations of the specified length elastic rod floating on the aquatorium surface. In this connection we consider the liquid to be ideal and incondensable, its flowing — potential, and the oscillations — small. Subject to these assumptions and based on the method of eigen functions for the Laplasian operator we have obtained an analytical solution for the frequency of the first current of the system oscillations.

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