INVESTIGAÇÃO DE DANOS EM PLACA USANDO OTIMIZAÇÃO DE SEGUNDA ORDEM

Resumo

The need to monitor the condition of the structures is of fundamental importance for safety
and perfect use. With this, the numerical analysis allows significant cost reduction in a possible real
analysis of the structure. Methods of identifying structural damage are increasingly developed and
applied more easily in Structural Engineering. This paper applies the discretization of a structural
element of plate in finite elements and through comparisons of the static and dynamic responses of this
structure reaches an optimal solution for the inverse problem of damage identification. In order to
achieve the optimal solution, the second order optimization of Broyden-Fletcher-Goldfarb-Shanno
(BFGS) and Davidon-Flecher-Powell (DFP) methods coupled to an objective function is used in this
paper, which deals with the solution in identification of internal damage to the structure, which will be
compared to each other, highlighting the one with the best efficiency in plate structure. The minimization
of the residuals between the static (displacement) and dynamic responses (natural frequencies of
vibration) between the predicted damages and the actual damage allows the observation of the structural
mechanical behavior and with it the identification of the damage in the structure.