Combined constructions with piecewise thickness subjected to an action of unsymmetric loads

The analytical method for computation of circular thin combined plates with piecewise thickness subjected to an action of antisymmetric loads is proposed. The construction under study consists of several ring plates of variable thickness closely adjoining to each other. The laws of thickness variation of separate sections are different. The separate sections may be made from the same or from the different materials. These materials can be orthotropic or isotropic, inhomogeneous or homogeneous. In the places of separate parts conjugation the construction’s thickness may be continuous or discontinuous. For the analysis of antisymmetric flexure of the constructions under examination the theory of special functions is used. The solutions are obtained in closed form in terms of Legendre functions, Gegenbauer, Legendre and Lagerre polynomials. The conditions of separate parts conjugation are fulfilled. For this aim the special auxiliary functions are introduced.