Iterative strategies associated with the normal flow technique on the nonlinear analysis of structural arches

Rem: Revista Escola de Minas

Dalilah Pires Maximiano²  Andréa Regina Dias Da Silva¹  Ricardo Azoubel Da Mota Silveira¹ 

[1] ,UFSJ MG ,Brasil

关键词: Static analysis;    Geometric nonlinearity;    Equilibrium paths;    Incremental-iterative scheme;    Análise estática;    não linearidade geométrica;    trajetória de equilíbrio;    esquema incremental-iterativo;   

DOI  :  10.1590/S0370-44672014000200003

来源: SciELO

【 摘 要 】

A large part of the numerical procedures for obtaining the equilibrium path or load-displacement curve of structural problems with static nonlinear behavior is based on the Newton-Raphson iterative scheme to which are coupled the path-following methods. In this context, this study uses one technique, referred to as normal flow, in the process of obtaining the approximate nonlinear static response of structural systems. Basically, this technique is an adaptation made with in the Newton-Raphson iterative scheme in an attempt to speed up the nonlinear solution process and/or remove convergence problems. To overcome the critical points and to trace the whole nonlinear equilibrium path, three different strategies are used in association with the normal flow technique: the cylindrical arc-length, the minimum residual displacement norm and the generalized displacement. With this procedure, the performance of these strategies when associated with the normal flow technique is valued. Two arches with highly nonlinear load-displacement curves are used in the study. The results obtained demonstrated that the association of the generalized displacement strategy with the normal flow technique contributes to the improvement of the nonlinear solution methodology.

【 授权许可】

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