Abstract
This paper deals with analytical solutions of double-plate system under static loads, where the connected system is composed by two parallel rectangular plates with an elastic layer in between. The plates are assumed to be represented by Kirchhoff plate model and the elastic layer is assumed to be a Pasternak elastic foundation. Analytical solutions of double-plate system based on Navier's method and Levy's approach are derived for specific conditions. Furthermore, a change of variables is used to decouple ordinary differential equations resulting from the Levy method as one of the steps to derive its corresponding homogeneous solutions. Examples for different loads and boundary conditions are presented.
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