Дослідження вільних коливань багатошарових пластин за допомогою теорії R-функцій

Abstract

The problem on free vibrations of composite laminated plates with complex plan-forms and different boundary conditions is considered. It is assumed that slippage between the layers is absent, the physical characteristics and thickness of the core can essentially differ from the appropriate characteristics of the face layers. Mathematical statement of the problem is carried out using the Timoshenko-type theory. Numerical results for laminated composite plates of complex geometry and different types of boundary conditions are presented. The results obtained for square composite plates have been compared with the known ones what proves the effectiveness and validity of the offered method.