STOCHASTIC MODEL UPDATING BASED ON THE KRIGING MODEL AND WAVELET PACKET ENERGY SPECTRUM (MT)
Aiming at the low accuracy and efficiency of stochastic model updating, a stochastic finite element model updating method based on the Kriging model and wavelet packet energy spectrum was proposed. Firstly, assume that the parameters and response characteristics of the model to be updated obey norma...
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Editorial Office of Journal of Mechanical Strength
2023-01-01
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| Series: | Jixie qiangdu |
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| Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2023.02.001 |
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| _version_ | 1841534441920397312 |
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| author | SUN YongPeng PENG ZhenRui BAI Yu |
| author_facet | SUN YongPeng PENG ZhenRui BAI Yu |
| author_sort | SUN YongPeng |
| collection | DOAJ |
| description | Aiming at the low accuracy and efficiency of stochastic model updating, a stochastic finite element model updating method based on the Kriging model and wavelet packet energy spectrum was proposed. Firstly, assume that the parameters and response characteristics of the model to be updated obey normal distributions, the uncertainty model updating was transformed into the updating of mean and standard deviation. Secondly, the parameters to be updated were taken as inputs of Kriging model, the node energies extracted by the acceleration frequency response function after wavelet packet decomposition were taken as the outputs, the political optimizer algorithm was introduced to optimize the correlation coefficient to construct Kriging model. Then, minimize the absolute value of the difference between the test response and the predicted response as the objective function for updating mean, and minimize the cross entropy as the objective function for updating standard deviation, and updated the parameters mean and standard deviation through the political optimizer algorithm. Finally, taking a space truss structure as the example, the elastic modulus and density were selected as the parameters to be updated to verify the feasibility of the proposed method. The results show that the proposed method can effectively update the mean and standard deviation of structural parameters, and errors of the updated mean and standard deviation are less than 0.1% and 3.5%, respectively. |
| format | Article |
| id | doaj-art-d7f4d7d1c42b427e8b30b7da667ead0b |
| institution | Kabale University |
| issn | 1001-9669 |
| language | zho |
| publishDate | 2023-01-01 |
| publisher | Editorial Office of Journal of Mechanical Strength |
| record_format | Article |
| series | Jixie qiangdu |
| spelling | doaj-art-d7f4d7d1c42b427e8b30b7da667ead0b2025-01-15T02:40:14ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692023-01-0125526136351310STOCHASTIC MODEL UPDATING BASED ON THE KRIGING MODEL AND WAVELET PACKET ENERGY SPECTRUM (MT)SUN YongPengPENG ZhenRuiBAI YuAiming at the low accuracy and efficiency of stochastic model updating, a stochastic finite element model updating method based on the Kriging model and wavelet packet energy spectrum was proposed. Firstly, assume that the parameters and response characteristics of the model to be updated obey normal distributions, the uncertainty model updating was transformed into the updating of mean and standard deviation. Secondly, the parameters to be updated were taken as inputs of Kriging model, the node energies extracted by the acceleration frequency response function after wavelet packet decomposition were taken as the outputs, the political optimizer algorithm was introduced to optimize the correlation coefficient to construct Kriging model. Then, minimize the absolute value of the difference between the test response and the predicted response as the objective function for updating mean, and minimize the cross entropy as the objective function for updating standard deviation, and updated the parameters mean and standard deviation through the political optimizer algorithm. Finally, taking a space truss structure as the example, the elastic modulus and density were selected as the parameters to be updated to verify the feasibility of the proposed method. The results show that the proposed method can effectively update the mean and standard deviation of structural parameters, and errors of the updated mean and standard deviation are less than 0.1% and 3.5%, respectively.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2023.02.001Model updatingAcceleration frequency response functionCross entropyWavelet packet energy spectrumKriging model |
| spellingShingle | SUN YongPeng PENG ZhenRui BAI Yu STOCHASTIC MODEL UPDATING BASED ON THE KRIGING MODEL AND WAVELET PACKET ENERGY SPECTRUM (MT) Jixie qiangdu Model updating Acceleration frequency response function Cross entropy Wavelet packet energy spectrum Kriging model |
| title | STOCHASTIC MODEL UPDATING BASED ON THE KRIGING MODEL AND WAVELET PACKET ENERGY SPECTRUM (MT) |
| title_full | STOCHASTIC MODEL UPDATING BASED ON THE KRIGING MODEL AND WAVELET PACKET ENERGY SPECTRUM (MT) |
| title_fullStr | STOCHASTIC MODEL UPDATING BASED ON THE KRIGING MODEL AND WAVELET PACKET ENERGY SPECTRUM (MT) |
| title_full_unstemmed | STOCHASTIC MODEL UPDATING BASED ON THE KRIGING MODEL AND WAVELET PACKET ENERGY SPECTRUM (MT) |
| title_short | STOCHASTIC MODEL UPDATING BASED ON THE KRIGING MODEL AND WAVELET PACKET ENERGY SPECTRUM (MT) |
| title_sort | stochastic model updating based on the kriging model and wavelet packet energy spectrum mt |
| topic | Model updating Acceleration frequency response function Cross entropy Wavelet packet energy spectrum Kriging model |
| url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2023.02.001 |
| work_keys_str_mv | AT sunyongpeng stochasticmodelupdatingbasedonthekrigingmodelandwaveletpacketenergyspectrummt AT pengzhenrui stochasticmodelupdatingbasedonthekrigingmodelandwaveletpacketenergyspectrummt AT baiyu stochasticmodelupdatingbasedonthekrigingmodelandwaveletpacketenergyspectrummt |