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Smart Structures and Systems
  Volume 10, Number 4, October - November 2012, pages 427-442

Updating finite element model using dynamic perturbation method and regularization algorithm
Hua-Peng Chen and Tian-Li Huang

    An effective approach for updating finite element model is presented which can provide reliable estimates for structural updating parameters from identified operational modal data. On the basis of the dynamic perturbation method, an exact relationship between the perturbation of structural parameters such as stiffness change and the modal properties of the tested structure is developed. An iterative solution procedure is then provided to solve for the structural updating parameters that characterise the modifications of structural parameters at element level, giving optimised solutions in the least squares sense without requiring an optimisation method. A regularization algorithm based on the Tikhonov solution incorporating the generalised cross-validation method is employed to reduce the influence of measurement errors in vibration modal data and then to produce stable and reasonable solutions for the structural updating parameters. The Canton Tower benchmark problem established by the Hong Kong Polytechnic University is employed to demonstrate the effectiveness and applicability of the proposed model updating technique. The results from the benchmark problem studies show that the proposed technique can successfully adjust the reduced finite element model of the structure using only limited number of frequencies identified from the recorded ambient vibration measurements.
Key Words
    model updating; operational modal analysis; dynamic perturbation method; regularization algorithm; Canton Tower benchmark problem
Hua-Peng Chen and Tian-Li Huang : School of Engineering, University of Greenwich, Chatham Maritime, Kent, ME4 4TB, UK
Tian-Li Huang : School of Civil Engineering, Central South University, Hunan Province 410075, P.R. China

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