A numerical method of structure-preserving model updating problem and its perturbation theory |
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Authors: | Dongxiu Xie |
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Affiliation: | School of Science, Beijing Information Science and Technology University, Beijing 100192, China College of Mathematics and Econometrics, Hunan University, Changsha 410082, China |
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Abstract: | A method is presented to update a special finite element (FE) analytical model, based on matrix approximation theory with spectral constraint. At first, the model updating problem is treated as a matrix approximation problem dependent on the spectrum data from vibration test and modal parameter identification. The optimal approximation is the first modified solution of FE model. An algorithm is given to preserve the sparsity of the model by multiple correction. The convergence of the algorithm is investigated and perturbation of the modified solution is analyzed. Finally, a numerical example is provided to confirm the convergence of the algorithm and perturbation theory. |
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Keywords: | Iteration method Convergence Model updating Perturbation theory |
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