Damage detection and parameter identification by finite element model updating

SummaryThe FE model updating method can be used to identify unknown structural parameters of civil structures and determine structural damage in particular. The method consists in minimizing the discrepancies between the numerical and experimental modal data by adjusting the unknowns of the FE model. Generally, the discrepancies in eigenfrequencies and mode shapes are minimized, but also the discrepancies in modal strains can be included. Damage functions are used to approximate the stiffness distribution, as an efficient approach to reduce the number of unknowns.Two optimization algorithms are presented. The Gauss-Newton method is a standard sensitivity-based method for local optimization of least squares problems and is ameliorated here by implementing it with the trust region strategy. Secondly, the method of Coupled Local Minimizers (CLM) is a new method applicable to global optimization of functions with multiple local minima. The CLM method is also sensitivity-based and uses a population of search points, which are subjected to constraints that enforce them to end in the same minimum.The updating method is applied to two concrete beams tested in laboratory and to the prestressed concrete highway bridge Z24, which was damaged artificially by lowering one of the supporting piers.

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