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| A study on stochastic finite element model updating based on perturbation approach |
| Received:January 22, 2013 Revised:April 16, 2013 |
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| DOI：10.7511/jslx201404004 |
| KeyWord:finite element model finite model updating uncertainty perturbation method |
| Author | Institution |
| 姜东 |
东南大学 工程力学系, 南京 ;江苏省工程力学分析重点实验室, 南京 |
| 费庆国 |
东南大学 工程力学系, 南京 ;江苏省工程力学分析重点实验室, 南京 |
| 吴邵庆 |
东南大学 工程力学系, 南京 ;江苏省工程力学分析重点实验室, 南京 |
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| Abstract: |
| A study on stochastic finite element model updating using perturbation method is conducted in this paper.The uncertain parameters to be updated are divided into the summation of mean value and a deviation term based on which the formulations for the stochastic model updating are derived, two kinds of updating equation for covariance matrix are formulated according to whether the correlation between the updating parameters and the measurements is considered.Based on stochastic model updating method, numerical simulations are conducted with a further study between the number of response samples and the accuracy of the method.Results show that the statistical characteristics of the uncertain parameters can be accurately identified though the iterations of the stochastic model updating method and the accuracy of the updated standard deviations of the parameters are affected by the number of samples.When the correlation between the uncertainties in the updating parameters and in the test data is ignored, higher order sensitivity matrix is not necessary to be calculated, which lead to a lower computational effort but promise results. |
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