Análise dinâmica de estruturas treliçadas utilizando o método dos elementos finitos

Abstract

It is noticed that currently there has been a significant increase in relation to the creation of source codes and/or computer programs for structural design purposes, and several are the languages that are used for such creations, in this work a source code was developed in the Matlab language, where the main objective of it aimed to build a code based on the Finite Element Methods - FEM, where we can solve dynamic problems of truss structures with point efforts applied to nodes, so that static (displacement) and dynamic (natural frequencies and vibration modes) information of the structure was obtained, and in parallel a comparison of these results was performed with a program already renowned in the market, which in this case was SAP2000, where it aims to facilitate the understanding of the application of this method to students and newly graduated engineers, in order to reduce errors in calculations related to structural analysis. The results obtained from the comparison were very close, with very little difference between the values. In the case of static analysis nodal displacements, the results were exactly the same. The natural frequencies and vibration modes, on the other hand, gave a difference that is practically negligible. In general, it was possible to validate the formulation developed in this work, since both paths gave results converging to the same point.