Robust dynamic finite element model updating using modal measurements

Maung, T.S., Chen, Hua-Peng and Alani, Amir (2013) Robust dynamic finite element model updating using modal measurements. In: International Conference on Computational Mechanics (CM13); 25 - 27 Mar 2013, Durham, U.K.. (Unpublished)

Abstract

This paper presents a new finite element model updating method to improve the correlation between the analytical model and the associated physical structure by utilising incomplete mode shape measurements. On the basis of the dynamic perturbation method, the exact relationship between the perturbation of structural parameters and the modal properties of the dynamic structure is developed. Structural updating parameters characterising stiffness and mass matrices at element level are employed to represent the differences in structural parameters between the finite element model and the associated tested structure. An iterative solution procedure is then provided to solve for the chosen structural updating parameters. Neither model reduction nor mode shape expansion is required in the process of finite element modal updating. In order to reduce the influence of modal measurement uncertainty, the Tikhonov regularisation method incorporating the L-curve criterion is adopted to produce stable solutions for the structural updating parameters. Numerical simulation investigations and experimental study for a laboratory tested space frame model are undertaken to verify the effectiveness of the proposed technique. The results show that the proposed dynamic finite element model updating method is capable of producing robust estimations for model updating of actual structures using incomplete mode shapes.

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