Análise elástica linear de placas delgadas isotrópicas utilizando o elemento finito triangular

Abstract

The present work has the purpose of presenting a mathematical formulation based on Finite Element Method (FEM) able to perform thin plates linear analysis. The concerned plates are discretized using the triangular finite element with three degrees of freedom in each one of the three nodes, culminating in a total of nine degrees of freedom per element, and the displacement field on the perpendicular direction of the medium plan of the plate is approximated by a cubic polynomial containing nine terms. In order to make valid the presented formulation, a computational algorithm has been implemented in MATLAB® software, able to perform such analysis for several load and boundary conditions. At the end, it was elaborated and performed some examples, which where submitted at a qualitative and quantitative analysis comparing them with the results provided by the Bares and Czérny tables, SCIA Engineer, as well as by other authors.