Structural damage detection using nonlinear parameter identification with Tikhonov regularization

By B. Weber, Patrick Paultre, J. Proulx. 2007

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A sensitivity‐based update of a finite element model is used to determine stiffness reduction factors from measured eigenfrequencies and mode shapes. This is generally an ill‐posed nonlinear problem that needs some regularization. Tikhonov regularization is combined with iterative linearization. Regularization has to be applied before linearization, otherwise the regularization effect depends strongly on the number of iterations. A nonlinear version of the generalized cross‐validation method is used to determine the optimal regularization parameter.

Subfields: Civil and Structural Engineering, Mechanical Engineering, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/e80245d1f7fccedf797ed5249556ee879e932f68