TWO-DIMENSIONAL FRAME RELIABILITY ANALYSIS VIA FORM
ANALYTIC METHOD, CONSIDERING GEOMETRIC NON-LINEARITY.
Anderson Francisco de Lima Andrade, [email protected]
José Corrêia de Albuquerque Júnior, [email protected]
Afonso Henrique Sobreira de Oliveira, [email protected]
Silvana Maria Bastos Afonso da Silva, [email protected]
Universidade Federal de Pernambuco, Centro de Tecnologia e Geociências
Av. Acadêmico Hélio Ramos, s/n, Recife-PE – Brasil, 50740-530.
Abstract:
This paper has as objective to present a 2D frame structural reliability analysis methodology
considering the geometric non-linearity. Computational tools for structural and reliability
analysis will be used.
In order to obtain the structure reliability, the FORM (First Order Reliability Method) analytic
method is used. This method compounds an iterate procedure to find out the structure’s
failure probability and sensibility measures.
The structural analysis aims to reveal the structure’s behavior when exposed to external
strength, which could show a linear or non-linear behavior. The last one is observed in almost
every structure before they reach their limit resistance. Among many sources of a structure’s
non-linearity it could be found the physical and the geometric non-linearity.
The first it’s caused because the material doesn’t have a linear strain-stress relation, the
geometric non-linearity is result of the second order effects emerging when the structure,
under the normal strength, is submitted to relatively big displacement, even if it presents
physical linearity. This paper considers just the geometric non-linearity. A case study is used
to validate the descript methodology.
Keywords: Structural reliability, FORM method, geometric non-linearity