Equilibrium of Elastic Hollow Inhomogeneous Cylinders with Cross Sections in the Form of Convex Semicorrugations

Abstract

We present the solution of a three-dimensional boundary-value problem of stresses in the theory of elasticity for hollow inhomogeneous orthotropic cylinders with cross sections in the form of convex semicorrugations with zones of large curvature. The boundary conditions at the ends of the cylinder make it possible to separate variables along the length. The additional functions are included in the resolving system of differential equations. These functions make it possible to separate the variables along the directrix by using discrete Fourier series. The boundary-value problem obtained for the system of ordinary differential equations is solved by the stable numerical method of discrete orthogonalization over the thickness of the cylinder. The results are presented in the form of plots and tables.