STOCHASTIC FINITE ELEMENT MODEL UPDATING BASED ON POLYNOMIAL CHAOTIC EXPANSION AND KL DIVERGENCE
Considering the influence of structural parameter uncertainty on response and the problem of large calculation of stochastic model updating, a stochastic finite element model updating method based on polynomial chaotic expansion and KL divergence is proposed. Firstly, Kriging model is constructed in...
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| Format: | Article |
| Language: | zho |
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Editorial Office of Journal of Mechanical Strength
2021-01-01
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| Series: | Jixie qiangdu |
| Subjects: | |
| Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2021.06.004 |
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| _version_ | 1841535925869346816 |
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| author | XU ZeWei PENG ZhenRui ZHANG YaFeng BAI Yu |
| author_facet | XU ZeWei PENG ZhenRui ZHANG YaFeng BAI Yu |
| author_sort | XU ZeWei |
| collection | DOAJ |
| description | Considering the influence of structural parameter uncertainty on response and the problem of large calculation of stochastic model updating, a stochastic finite element model updating method based on polynomial chaotic expansion and KL divergence is proposed. Firstly, Kriging model is constructed instead of finite element model analysis, then polynomial chaotic expansion model is constructed based on probabilistic collocation method and regression analysis, and the functional relationship between uncertain structural parameters and response is established to quickly estimate the mean value and standard deviation of response. Finally, the mean value and standard deviation of structural parameters are modified to minimize KL divergence. Taking three-dimensional truss as an example, the mean value and standard deviation of elastic modulus and density are modified to verify the feasibility of the proposed method. The results show that the proposed method has high updating accuracy and efficiency. |
| format | Article |
| id | doaj-art-32b16a2c087545a889f76d2f3d25a8b8 |
| institution | Kabale University |
| issn | 1001-9669 |
| language | zho |
| publishDate | 2021-01-01 |
| publisher | Editorial Office of Journal of Mechanical Strength |
| record_format | Article |
| series | Jixie qiangdu |
| spelling | doaj-art-32b16a2c087545a889f76d2f3d25a8b82025-01-15T02:25:09ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692021-01-01431297130230612407STOCHASTIC FINITE ELEMENT MODEL UPDATING BASED ON POLYNOMIAL CHAOTIC EXPANSION AND KL DIVERGENCEXU ZeWeiPENG ZhenRuiZHANG YaFengBAI YuConsidering the influence of structural parameter uncertainty on response and the problem of large calculation of stochastic model updating, a stochastic finite element model updating method based on polynomial chaotic expansion and KL divergence is proposed. Firstly, Kriging model is constructed instead of finite element model analysis, then polynomial chaotic expansion model is constructed based on probabilistic collocation method and regression analysis, and the functional relationship between uncertain structural parameters and response is established to quickly estimate the mean value and standard deviation of response. Finally, the mean value and standard deviation of structural parameters are modified to minimize KL divergence. Taking three-dimensional truss as an example, the mean value and standard deviation of elastic modulus and density are modified to verify the feasibility of the proposed method. The results show that the proposed method has high updating accuracy and efficiency.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2021.06.004UncertaintyPolynomial chaos expansionKL divergenceKriging model |
| spellingShingle | XU ZeWei PENG ZhenRui ZHANG YaFeng BAI Yu STOCHASTIC FINITE ELEMENT MODEL UPDATING BASED ON POLYNOMIAL CHAOTIC EXPANSION AND KL DIVERGENCE Jixie qiangdu Uncertainty Polynomial chaos expansion KL divergence Kriging model |
| title | STOCHASTIC FINITE ELEMENT MODEL UPDATING BASED ON POLYNOMIAL CHAOTIC EXPANSION AND KL DIVERGENCE |
| title_full | STOCHASTIC FINITE ELEMENT MODEL UPDATING BASED ON POLYNOMIAL CHAOTIC EXPANSION AND KL DIVERGENCE |
| title_fullStr | STOCHASTIC FINITE ELEMENT MODEL UPDATING BASED ON POLYNOMIAL CHAOTIC EXPANSION AND KL DIVERGENCE |
| title_full_unstemmed | STOCHASTIC FINITE ELEMENT MODEL UPDATING BASED ON POLYNOMIAL CHAOTIC EXPANSION AND KL DIVERGENCE |
| title_short | STOCHASTIC FINITE ELEMENT MODEL UPDATING BASED ON POLYNOMIAL CHAOTIC EXPANSION AND KL DIVERGENCE |
| title_sort | stochastic finite element model updating based on polynomial chaotic expansion and kl divergence |
| topic | Uncertainty Polynomial chaos expansion KL divergence Kriging model |
| url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2021.06.004 |
| work_keys_str_mv | AT xuzewei stochasticfiniteelementmodelupdatingbasedonpolynomialchaoticexpansionandkldivergence AT pengzhenrui stochasticfiniteelementmodelupdatingbasedonpolynomialchaoticexpansionandkldivergence AT zhangyafeng stochasticfiniteelementmodelupdatingbasedonpolynomialchaoticexpansionandkldivergence AT baiyu stochasticfiniteelementmodelupdatingbasedonpolynomialchaoticexpansionandkldivergence |