Análise numérica de placas com cantos reentrantes

Abstract

The aim of this work is the bending analysis, in cylindrical coordinates, of thin plates with reentrant corners under transverse loading, by the Discrete Energy Method. Such method employs the variational principle of total potential energy, by introduction of finite difference operators in the energy functional. Furthermore, additional degrees of freedom are included to the boundary nodes, in order to eliminate the fictious nodes present in the conventional finite difference analysis. The reentrant corners required the adequate implementation of four new elements for this type of analysis. The present formulation is applied to plates with several boundary conditions and the results obtained with the computer program developed are compared with those given by the Finite Element Method, in order to verify the efficiency of the formulation.