Journal
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
Volume 21, Issue 12, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219455421501716
Keywords
Substructure; dynamic condensation; improved reduced system; frequency response function; L1 regularization; damage identification
Categories
Funding
- Science and Technology Research Project of Higher Education of Hebei Province [QN2021025]
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Model updating of large-scale structures for damage identification using frequency response function (FRF) is challenging due to the complexity of global system matrices. A substructure damage identification method based on acceleration FRF model updating is proposed in this paper, which simplifies the model and improves the identification stability by introducing L1 norm regularization. Numerical simulation and experiments have confirmed the effectiveness and robustness of the proposed method.
Model updating of large-scale structures is difficult to carry out when using a frequency response function (FRF) for damage identification, as the solutions for the global system matrices with too many degrees of freedom are required in each iteration. In this paper, a substructure damage identification method is proposed based on the model updating of the acceleration FRF. The original finite element model is divided into several substructures using the improved reduced system (IRS) by the dynamic condensation method, resulting in the simplified substructure model. The final simplified model is composed of the simplified mass matrix and stiffness matrix of the substructure considered. The damage acceleration FRF to be identified is used to iteratively update the simplified model. The locations and extents of the damage elements are obtained by updating the results, which reduces the number of uncertain parameters to be updated and leads to the rapid convergence of the optimization process. In the iteration, L1 norm regularization is introduced to solve the ill-posed problem, which improves the stability of the identification results. A numerical simulation of a six-story steel frame structure under various working conditions was carried out to verify the effectiveness of the proposed method, which was also validated by the experiments. The robustness and performance of the proposed damage identification method based on substructures have been demonstrated.
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