A Method for Dynamic Response Analysis of Offshore Substation Platform Foundations Based on Modal Truncation
The foundation structure of offshore substation platforms is complex and has numerous degrees of freedom. The computational efficiency of dynamic response analysis using traditional time-domain methods is often relatively low. To facilitate the dynamic response analysis of offshore substation platfo...
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MDPI AG
2025-04-01
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| Series: | Journal of Marine Science and Engineering |
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| Online Access: | https://www.mdpi.com/2077-1312/13/4/750 |
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| author | Jiefeng Chen Hongchao Lu Enjin Zhao |
| author_facet | Jiefeng Chen Hongchao Lu Enjin Zhao |
| author_sort | Jiefeng Chen |
| collection | DOAJ |
| description | The foundation structure of offshore substation platforms is complex and has numerous degrees of freedom. The computational efficiency of dynamic response analysis using traditional time-domain methods is often relatively low. To facilitate the dynamic response analysis of offshore substation platform foundation structures with large degrees of freedom (DOFs), this paper proposes a method for dynamic response analysis based on modal truncation, which involves conducting a modal analysis and decoupling the vibration system matrix based on the modal shapes. Additionally, it analyzes the external load spectrum and determines the modal-truncation range through the transfer relationship between the external load frequency and the modal response. This approach reduces the size of the dynamic response analysis matrix, thereby significantly improving the computational efficiency of the dynamic response analysis of large-DOF offshore substation platform foundations. A six-DOF mass-damping-spring system and a finite element model of an offshore substation platform foundation were used to test the proposed method. The proposed method reduces the number of decoupled equations used to analyze the offshore substation platform foundation from 312 to 9. It was compared with the Newmark-β method, and the results show that the proposed method aligns well with the Newmark-β method in terms of calculation results, with computational efficiency improved by approximately 100 times. |
| format | Article |
| id | doaj-art-4b763b25194a4b3eb77ef46a170cf595 |
| institution | OA Journals |
| issn | 2077-1312 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Journal of Marine Science and Engineering |
| spelling | doaj-art-4b763b25194a4b3eb77ef46a170cf5952025-08-20T02:28:23ZengMDPI AGJournal of Marine Science and Engineering2077-13122025-04-0113475010.3390/jmse13040750A Method for Dynamic Response Analysis of Offshore Substation Platform Foundations Based on Modal TruncationJiefeng Chen0Hongchao Lu1Enjin Zhao2Power China Huadong Engineering Corporation Limited, Hangzhou 311122, ChinaCollege of Marine Science and Technology, China University of Geosciences, Wuhan 430074, ChinaCollege of Marine Science and Technology, China University of Geosciences, Wuhan 430074, ChinaThe foundation structure of offshore substation platforms is complex and has numerous degrees of freedom. The computational efficiency of dynamic response analysis using traditional time-domain methods is often relatively low. To facilitate the dynamic response analysis of offshore substation platform foundation structures with large degrees of freedom (DOFs), this paper proposes a method for dynamic response analysis based on modal truncation, which involves conducting a modal analysis and decoupling the vibration system matrix based on the modal shapes. Additionally, it analyzes the external load spectrum and determines the modal-truncation range through the transfer relationship between the external load frequency and the modal response. This approach reduces the size of the dynamic response analysis matrix, thereby significantly improving the computational efficiency of the dynamic response analysis of large-DOF offshore substation platform foundations. A six-DOF mass-damping-spring system and a finite element model of an offshore substation platform foundation were used to test the proposed method. The proposed method reduces the number of decoupled equations used to analyze the offshore substation platform foundation from 312 to 9. It was compared with the Newmark-β method, and the results show that the proposed method aligns well with the Newmark-β method in terms of calculation results, with computational efficiency improved by approximately 100 times.https://www.mdpi.com/2077-1312/13/4/750dynamic responsemodal truncationmodal superpositionoffshore substationvibration decoupling |
| spellingShingle | Jiefeng Chen Hongchao Lu Enjin Zhao A Method for Dynamic Response Analysis of Offshore Substation Platform Foundations Based on Modal Truncation Journal of Marine Science and Engineering dynamic response modal truncation modal superposition offshore substation vibration decoupling |
| title | A Method for Dynamic Response Analysis of Offshore Substation Platform Foundations Based on Modal Truncation |
| title_full | A Method for Dynamic Response Analysis of Offshore Substation Platform Foundations Based on Modal Truncation |
| title_fullStr | A Method for Dynamic Response Analysis of Offshore Substation Platform Foundations Based on Modal Truncation |
| title_full_unstemmed | A Method for Dynamic Response Analysis of Offshore Substation Platform Foundations Based on Modal Truncation |
| title_short | A Method for Dynamic Response Analysis of Offshore Substation Platform Foundations Based on Modal Truncation |
| title_sort | method for dynamic response analysis of offshore substation platform foundations based on modal truncation |
| topic | dynamic response modal truncation modal superposition offshore substation vibration decoupling |
| url | https://www.mdpi.com/2077-1312/13/4/750 |
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