Soluções analíticas para placas delgadas submetidas a carga pontual e em linha: uma análise pelo método de LEVY

Abstract

This work aims to enable analytical solutions, through the Levy method, for thin rectangular plates subjected to point load and line distributed load. Such loadings can result Ordinary Differential Equations (ODE) involving the Dirac delta function, which may require additional manipulations to determine the particular solutions. Thus, in this work Levy solutions are deduced for both isolated plates and those supported on Winkler and Pasternak elastic foundations. Furthermore, the proposed solutions are compared and validated both using the Navier analytical method and numerical solutions by the finite element method.