Abstract
A new version of the finite element method for calculation of axisymmetric and nonaxisymmetric oscillations of shells of revolution partially filled with an ideal incompressible liquid is presented. Narrow annular strips of the shell together with thin layers of the liquid contained in them are considered to be finite elements. Displacements of a liquid layer are approximated by a single unknown function, which represents an axial displacement in an assumed form, using an exact analytical solution of the continuity equation with a boundary condition of continuity at the shell surface. The matrices of the stiffness and inertia of the shell and added liquid mass matrices have been obtained.
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