Análise física e geometricamente não linear de pórticos planos peladescrição corrotacional

Abstract

This masters thesis aims to implement models for geometrically and physically nonlinear analysis of rod structures through the Finite Elements Method in the INSANE (INteractive Structural ANalysis Environment) platform. The software is written in Java language and developed by the Department of Structural Engineering of the Federal University of Minas Gerais (DEES-UFMG). The formulation is based on the corrotacional Lagrangean kinematic description applied to plane frames that follow the Euler-Bernoulli beam theory. In total, four models were implemented, being two specic for geometrically nonlinear analysis, differing by the strain-displacement relationship adopted, andtwo that also consider the coupled effect of physical nonlinearity, which differ by the approach for dealing with this second source of nonlinearity. Through the analysis of a extensive number of classical problems, the consistency of the formulation and the success of the geometrically nonlinear models were proven. The coupled models were used to simulate tests of reinforced concrete structures present in technical literature. For those, two quadratures for carrying numerical integrations were adopted and excellent results were achieved.