Solution of the problem of stresses in conical shells with thickness varying in two directions (Q2754682)

A class of problems of stresses in laminate orthotropic shells of variable thickness is treated on the basis of improved theory of straight element for the package as a whole. The resolving system of equations consists of ten partial differential equations. Considering shells with thickness of each layer proportional to radius, the stiffnesses are represented as products of corresponding powers of radius by functions of the angular coordinate. This enables one to single out the radial coordinate. The resulting system of equations is solved by the method of discrete orthogonalization. A particular example for a single-layer shell whose thickness changes in the angular direction as \(h=d_0+d_1\cos\theta\) is considered.