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This research studies finite element (FE) model updating through sum ofsquares (SOS) optimization to minimize modal dynamic residuals. In the past fewdecades, many FE model updating algorithms have been studied to improve thesimilitude between a numerical model and the as-built structure. FE modelupdating usually requires solving nonconvex optimization problems, while mostoff-the-shelf optimization solvers can only find local optima. To improve themodel updating performance, this paper proposes the SOS global optimizationmethod for minimizing modal dynamic residuals of the generalized eigenvalueequations in structural dynamics. The proposed method is validated through bothnumerical simulation and experimental study of a four-story shear framestructure.

Model updating using sum of squares (SOS) optimization to minimize modal dynamic residuals