Soluções de Sistemas Duplos de Placas Espessas Elasticamente Conectadas: Uma Abordagem Analítica.

Abstract

Bending, vibration and buckling analyses have been done to better understand the mechanical behavior of problems involving both single plates and systems of plates interconnected by layers in between them, due to the wide application of these problems in civil, mechanical, aeronautical engineering. and in other fields of the technological sciences. In this work, analytical solutions for rectangular double thick plates subjected to static loads are derived according to Kirchhoff, Reissner and Mindlin’s theories, where the plates are made of elastic-linear, isotropic and homogeneous material, and the connecting layer is assumed to be an elastic Pasternak foundation. The analytical solutions for some boundary conditions are obtained using double and single trigonometric series expansions based on the methods of Navier and Levy, according to their applicability. In addition, Hormander's method is used to decouple the system of coupled partial differential equations resulting from Levy's method. Application examples are presented to validate the solutions, which compare the displacements and moments in the plates and verify the influence of the shear on the displacements as the thickness increases. In addition, the influence of the Pasternak shear parameter on the displacements of the plates is also verified. The results indicate robustness and coherence of the analyzed scenarios.