Equations of Thin Anisotropic Elastic Shells of Revolution in the {m, n}-Approximation Method

Abstract

We construct a system of differential equations aimed at the description of elastic deformations of thin anisotropic shells of revolution and solved with respect to the first-order partial derivatives with respect to the meridional coordinate. These equations are obtained by the {m,n}-approximation method. The approximations of unknown functions are in good agreement with force boundary conditions imposed on the front faces.