Application of the Finite Element Method in the Calculation of Shells of Revolution

Abstract

The paper describes an algorithm for calculating structurally orthotropic shells of rotation with an arbitrary shape of the meridian and an arbitrary law of change in the rigidity of the shell along the meridian. In this case, a number of restrictions are imposed on the law of change in the shell stiffness. Under the action of an axisymmetric load on the shell, the method of dividing the shell into a system of curvilinear rods lying on elastic supports and an elastic foundation turned out to be effective. At the same time, the limitations inherent in these algorithms do not provide a solution to many problems of interest to a design engineer. In this regard, the finite element method, which was previously successfully applied in the study of unsupported shells, is promising.