ANÁLISE NÃO LINEAR DE TRELIÇAS COM A FORMULAÇÃO CORROTACIONAL DE ELEMENTOS FINITOS E DIFERENTES MEDIDAS DE DEFORMAÇÕES

João Pedro de Lima Miyazaki; Luiz Antonio Farani de Souza; Carlos Humberto Martins

doi:10.4025/revtecnol.v29i2.52237

João Pedro de Lima Miyazaki Universidade Estadual de Maringá
Luiz Antonio Farani de Souza Universidade Tecnológica Federal do Paraná - UTFPR
Carlos Humberto Martins Universidade Estadual de Maringá

DOI: https://doi.org/10.4025/revtecnol.v29i2.52237

Abstract

Trusses when subjected to heavy loads on their nodes present geometric nonlinearity, which occurs when the relation between displacement and strain are no longer linear. Finite Element co-rotational formulation to solve the nonlinear problem is usually done using Engineering strain. However, there are other strain measures that can be used in the formulation and lead to different results, highlighting the strains of Green-Lagrange, Biot and Almansi. This paper presents a numerical and computational model for trusses analysis with geometric nonlinearity. The equilibrium paths of plane truss problems are obtained for the different strain measurements, and the numerical results are compared. The system of nonlinear equations was solved by the incremental and iterative process of standard Newton-Raphson associated with the Linear Arc-Length path-following technique. The computational code was implemented in the Scilab software.

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Author Biography

Luiz Antonio Farani de Souza, Universidade Tecnológica Federal do Paraná - UTFPR

Curso de Engenharia Civil

Área: Mecânica dos Sólidos

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