Abstract
This article examines the problem of small movements of liquids and the motion of a solid with a circular cylindrical cavity that is completely filled three of incompressible ideal fluids. Assuming irrotational fluid motion is formulated boundary value problem and solutions are obtained for potentials of the displacements of the particles of liquids. Using the Lagrange equations of the 2nd kind the equations of motion of a hydromechanical system. Illustrates the difference between motion of a rigid body having a cavity with fluids from the case considered by N. E. Zhukovsky. Examines the problem of natural vibrations of liquids in a stationary tank and the motion of a rigid body fluids. Given formula, determine the natural frequencies and mode shapes. The article presents the results of an experimental study of motion of rigid body and liquids.
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