Abstract
In this paper, we consider the problem of free bending vibrations of a rectilinear rod floating on the free surface of a liquid in a rectangular rigid container. This problem is associated with well-known problems, where numerical solutions or asymptotics of the problem of the vibrations of a rod or plates on the free surface of a liquid are considered. On the basis of the accepted assumptions, an exact, analytical solution of this boundary value problem is obtained.
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