The FE model updating method can be used to identify unknown structural parameters and determine structural damage. The method consists in minimizing the discrepancies between numerical and experimental modal data by adjusting the FE unknowns. The discrepancies in eigenmodes are usually minimized. Damage functions are used to approximate the stiffness distribution, as an efficient approach to reduce the number of unknowns. First, the Gauss-Newton method is used as 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 updating method is applied to two concrete beams tested in laboratory and to a highway bridge, artificially damaged.
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