Investigation of vibration of laminated plates of an arbitrary shape

While calculating laminated plates it is required to take into account the physical characteristics of layers, which can differ essentially from each-other. Therefore the refined theories counting up shift deformations of layers, as a rule, are used for calculation of such elements. In this case the governing system of the differential equations is significally complicated. In the present work Timoshenko type theory of plates is applied. The new methods based on the R-functions theory for solving system of differential equations are proposed. The main advantage of this approach is the opportunity of counting up complex geometry and constructing solutions in an analytical form.