Análise não linear geométrica de treliças bi e tridimensionais utilizando a formulação corrotacional do método de elementos finitos

Abstract

Trusses, when subjected to large loads at their nodes, present geometric nonlinearity, which occurs when the relationship between displacement and deformation is nolonger linear. The kinematic description used is the Finite Element Corrotational, both for the discretization of plane trusses and spatial trusses. Furthermore, several strain measures are used in the analysis - Engineering, Green-Lagrange, Biot, Almansi and Logarithmic. The equilibrium trajectories are traced using the incremental and iterative methods of Newton-Rhapson and Modified Newton-Rhapson, both associated with the Linear Arc Length technique. The code is developed using Scilab free software. The numerical results obtained show that the code presents good results when compared to those obtained by several authors in the literature.