The Averaged Dynamic Models of Bending and Longitudinal Vibrations for Elastic Sandwich Plates

The focus of this work is to derive the averaged 2D dynamic theory for elastic sandwich plates of symmetric structure on thickness which can describe the stress-strain state asymptotically correct on long waves and qualitative correct on sufficiently short waves. The governing two-dimensional dynamic equations for sandwich plates are derived with the help of variational asymptotic method worked out by Berdichevsky [1] and which is used to rigorously reduce three-dimensional problem into two-dimensional problem.