Mikhailutsa O. Dynamics of two-layered plates and shells with elastic connection between layers.

Object of research – stationary and non-stationary processes in two-layer plates and shells with elastic connections between layers under external dynamic loads, which are basic structural elements of new technique structures. Subject of research – analytical-numerical method for the research dynamic characteristics of composite structures, depending on the relative thickness of the layers and connections, relative stiffness and damping coefficient of connection, the wavelength, number of the waves in the circle direction, dimensionless velocity load. The aim of research – solution of actual problems of mechanics of deformable solids, including development and implementation of the general method of modeling the dynamics of two-layer plates and cylindrical shells with elastic connections between layers. Methods of research – solution of dynamic elasticity equations with exact compliance based connections between layers. The integration of systems of differential equations in partial derivatives using numerical and analytical algorithms based on integral Fourier and Laplace transforms, algorithms for solving complex system of equations, and special numerical algorithms for joint inversion of integral transformations. New scientifically grounded numerical and analytical solutions for problem of mechanics of deformable solids, in particularly, behavioral component desing with an elastic layer, are obtained. Implementation - Joint Stock company “Motor-Sich”. Branch of implementation - aerospace technique, shipbuilding and building industry.