Equilibrium of elastic hollow inhomogeneous cylinders with cross-section in the form of convex semi-corrugations (Q2808475)

The authors present a solution to a three-dimensional boundary-value stress problem of elasticity theory for inhomogeneous hollow orthotropic cylinders with a cross-section in the form of convex semi-corrugations with large curvature zones. The boundary conditions at the cylinder ends allow separation of variables along the length. Additional functions are included into the system of differential equations. Due to these functions, the variables are separated along the directrix by means of discrete Fourier series. The boundary-value problem derived for the system of ordinary differential equations is solved by a stable numerical method of discrete orthogonalization over the cylinder thickness. The obtained results are presented in plots and tables.