THE PROBLEMS OF COMPUTATION OF COMBINED PLATES WITH PIECEWISE VARIABLE THICKNESS. SOLUTIONS IN ORTHOGONAL POLYNOMIALS

Abstract

The work is devoted to the analytical simulation of the combined plates calculation. The mentioned plates have the circular form and they consist of separate parts with differentlaws of thickness variation. These sections may be made from the same or from differentmaterials. The material can be homogeneous or nonhomogeneous, isotropic or anisotropic. In the places of the separate sections conjugation the construction’s thickness can be continuous or discontinuous. The construction under study is subjected to an action of bending loads. Below the analytical method for the similar constructions’ computation is suggested. This method is based on the use of the theory of the special functions, in particular, Lagerr’s orthogonal polynomials.