Implementing the Ritz method for computing the elastic axisymmetric shell partily filed with a liquid

Abstract

An algorithm for calculating the eigen frequencies and modes of arbitrary
shells of revolution which are partially filled with an ideal fluid is pro-
posed. The solution method of this hydroelastic problem is based on the
domain decomposition method applied to the shell equations that is com-
bined with the variational method constructing an inverse operator for the
hydrodynamic part of the problem. A comparison of the obtained numer-
ical results with existing exact solutions of the problem for the shell of the
circular cylindrical shape is given.