An Improved Integral Response Deformation Method for Seismic Response Analysis of Underground Structures Considering Far-Field Effects
In the seismic analysis of underground structures, the traditional integral response displacement method may misestimate far-field constraint effects because of the empirical placement of cutoff boundaries, leading to inaccuracies and a significant increase in computational costs. This study propose...
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MDPI AG
2025-05-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/15/10/5660 |
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| author | Xin Bao Shiwei Wang Boyang Zhu Dongyang Wang |
| author_facet | Xin Bao Shiwei Wang Boyang Zhu Dongyang Wang |
| author_sort | Xin Bao |
| collection | DOAJ |
| description | In the seismic analysis of underground structures, the traditional integral response displacement method may misestimate far-field constraint effects because of the empirical placement of cutoff boundaries, leading to inaccuracies and a significant increase in computational costs. This study proposes a cutoff boundary distance criterion of three times the structural size, effectively eliminating boundary reflection errors. Furthermore, by introducing artificial boundary conditions that simulate the static resistance of a semi-infinite foundation and the far-field constraint effects, an improved integral response deformation method considering the far-field effect is developed. Verification based on the dynamic time history method (implemented with the Abaqus/Explicit solver) confirms that the computational error of the proposed method is essentially controlled within 5%, and compared with that of the traditional method, the number of mesh elements and nodes is reduced by 80%~90%. This advancement provides a computationally efficient and highly accurate solution for the seismic analysis of large-scale underground structures, making it highly valuable for practical engineering applications. |
| format | Article |
| id | doaj-art-b1a568807fb545d481ca8aec62d46bf1 |
| institution | DOAJ |
| issn | 2076-3417 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj-art-b1a568807fb545d481ca8aec62d46bf12025-08-20T03:14:42ZengMDPI AGApplied Sciences2076-34172025-05-011510566010.3390/app15105660An Improved Integral Response Deformation Method for Seismic Response Analysis of Underground Structures Considering Far-Field EffectsXin Bao0Shiwei Wang1Boyang Zhu2Dongyang Wang3Department of Civil Engineering, Tsinghua University, Beijing 100084, ChinaState Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116000, ChinaState Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116000, ChinaChina Nuclear Power Engineering Co., Ltd., Beijing 100084, ChinaIn the seismic analysis of underground structures, the traditional integral response displacement method may misestimate far-field constraint effects because of the empirical placement of cutoff boundaries, leading to inaccuracies and a significant increase in computational costs. This study proposes a cutoff boundary distance criterion of three times the structural size, effectively eliminating boundary reflection errors. Furthermore, by introducing artificial boundary conditions that simulate the static resistance of a semi-infinite foundation and the far-field constraint effects, an improved integral response deformation method considering the far-field effect is developed. Verification based on the dynamic time history method (implemented with the Abaqus/Explicit solver) confirms that the computational error of the proposed method is essentially controlled within 5%, and compared with that of the traditional method, the number of mesh elements and nodes is reduced by 80%~90%. This advancement provides a computationally efficient and highly accurate solution for the seismic analysis of large-scale underground structures, making it highly valuable for practical engineering applications.https://www.mdpi.com/2076-3417/15/10/5660seismic resistance of underground structuresintegral response displacement methodcutoff boundariesartificial boundary conditions |
| spellingShingle | Xin Bao Shiwei Wang Boyang Zhu Dongyang Wang An Improved Integral Response Deformation Method for Seismic Response Analysis of Underground Structures Considering Far-Field Effects Applied Sciences seismic resistance of underground structures integral response displacement method cutoff boundaries artificial boundary conditions |
| title | An Improved Integral Response Deformation Method for Seismic Response Analysis of Underground Structures Considering Far-Field Effects |
| title_full | An Improved Integral Response Deformation Method for Seismic Response Analysis of Underground Structures Considering Far-Field Effects |
| title_fullStr | An Improved Integral Response Deformation Method for Seismic Response Analysis of Underground Structures Considering Far-Field Effects |
| title_full_unstemmed | An Improved Integral Response Deformation Method for Seismic Response Analysis of Underground Structures Considering Far-Field Effects |
| title_short | An Improved Integral Response Deformation Method for Seismic Response Analysis of Underground Structures Considering Far-Field Effects |
| title_sort | improved integral response deformation method for seismic response analysis of underground structures considering far field effects |
| topic | seismic resistance of underground structures integral response displacement method cutoff boundaries artificial boundary conditions |
| url | https://www.mdpi.com/2076-3417/15/10/5660 |
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