Solution of problems on the stress state of rotating anisotropic hollow cylinders that are nonuniform in the circumferential direction

A new approach is proposed to determining the stress-strain state of a rotating cylinder with elastic characteristics that vary in the radial and circumferential directions. Problems of this type are solved by expanding the stresses and the displacements into Fourier series, leading to a resolvent system of ordinary differential equations of a high order. The loads in these equations are given with allowance for the radial displacements. The problems are solved numerically by the method of discrete orthogonalization. As an illustration, specific problems are solved for several variants of nonuniformity of the elastic properties in the circumferential direction.