A Review of Model Order Reduction Methods for Large-Scale Structure Systems
The large-scale structure systems in engineering are complex, high dimensional, and variety of physical mechanism couplings; it will be difficult to analyze the dynamic behaviors of complex systems quickly and optimize system parameters. Model order reduction (MOR) is an efficient way to address tho...
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| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2021/6631180 |
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| _version_ | 1832568574857707520 |
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| author | Kuan Lu Kangyu Zhang Haopeng Zhang Xiaohui Gu Yulin Jin Shibo Zhao Chao Fu Yongfeng Yang |
| author_facet | Kuan Lu Kangyu Zhang Haopeng Zhang Xiaohui Gu Yulin Jin Shibo Zhao Chao Fu Yongfeng Yang |
| author_sort | Kuan Lu |
| collection | DOAJ |
| description | The large-scale structure systems in engineering are complex, high dimensional, and variety of physical mechanism couplings; it will be difficult to analyze the dynamic behaviors of complex systems quickly and optimize system parameters. Model order reduction (MOR) is an efficient way to address those problems and widely applied in the engineering areas. This paper focuses on the model order reduction of high-dimensional complex systems and reviews basic theories, well-posedness, and limitations of common methods of the model order reduction using the following methods: center manifold, Lyapunov–Schmidt (L-S), Galerkin, modal synthesis, and proper orthogonal decomposition (POD) methods. The POD is a powerful and effective model order reduction method, which aims at obtaining the most important components of a high-dimensional complex system by using a few proper orthogonal modes, and it is widely studied and applied by a large number of researchers in the past few decades. In this paper, the POD method is introduced in detail and the main characteristics and the existing problems of this method are also discussed. POD is classified into two categories in terms of the sampling and the parameter robustness, and the research progresses in the recent years are presented to the domestic researchers for the study and application. Finally, the outlooks of model order reduction of high-dimensional complex systems are provided for future work. |
| format | Article |
| id | doaj-art-6f72b731394c4b688a33cbfd659689a1 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-6f72b731394c4b688a33cbfd659689a12025-02-03T00:58:48ZengWileyShock and Vibration1070-96221875-92032021-01-01202110.1155/2021/66311806631180A Review of Model Order Reduction Methods for Large-Scale Structure SystemsKuan Lu0Kangyu Zhang1Haopeng Zhang2Xiaohui Gu3Yulin Jin4Shibo Zhao5Chao Fu6Yongfeng Yang7Institute of Vibration Engineering, Northwestern Polytechnical University, Xi’an 710072, ChinaInstitute of Vibration Engineering, Northwestern Polytechnical University, Xi’an 710072, ChinaInstitute of Vibration Engineering, Northwestern Polytechnical University, Xi’an 710072, ChinaState Key Laboratory Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang 050043, ChinaSchool of Astronautics, Harbin Institute of Technology, Harbin 150001, ChinaInstitute of Vibration Engineering, Northwestern Polytechnical University, Xi’an 710072, ChinaInstitute of Vibration Engineering, Northwestern Polytechnical University, Xi’an 710072, ChinaInstitute of Vibration Engineering, Northwestern Polytechnical University, Xi’an 710072, ChinaThe large-scale structure systems in engineering are complex, high dimensional, and variety of physical mechanism couplings; it will be difficult to analyze the dynamic behaviors of complex systems quickly and optimize system parameters. Model order reduction (MOR) is an efficient way to address those problems and widely applied in the engineering areas. This paper focuses on the model order reduction of high-dimensional complex systems and reviews basic theories, well-posedness, and limitations of common methods of the model order reduction using the following methods: center manifold, Lyapunov–Schmidt (L-S), Galerkin, modal synthesis, and proper orthogonal decomposition (POD) methods. The POD is a powerful and effective model order reduction method, which aims at obtaining the most important components of a high-dimensional complex system by using a few proper orthogonal modes, and it is widely studied and applied by a large number of researchers in the past few decades. In this paper, the POD method is introduced in detail and the main characteristics and the existing problems of this method are also discussed. POD is classified into two categories in terms of the sampling and the parameter robustness, and the research progresses in the recent years are presented to the domestic researchers for the study and application. Finally, the outlooks of model order reduction of high-dimensional complex systems are provided for future work.http://dx.doi.org/10.1155/2021/6631180 |
| spellingShingle | Kuan Lu Kangyu Zhang Haopeng Zhang Xiaohui Gu Yulin Jin Shibo Zhao Chao Fu Yongfeng Yang A Review of Model Order Reduction Methods for Large-Scale Structure Systems Shock and Vibration |
| title | A Review of Model Order Reduction Methods for Large-Scale Structure Systems |
| title_full | A Review of Model Order Reduction Methods for Large-Scale Structure Systems |
| title_fullStr | A Review of Model Order Reduction Methods for Large-Scale Structure Systems |
| title_full_unstemmed | A Review of Model Order Reduction Methods for Large-Scale Structure Systems |
| title_short | A Review of Model Order Reduction Methods for Large-Scale Structure Systems |
| title_sort | review of model order reduction methods for large scale structure systems |
| url | http://dx.doi.org/10.1155/2021/6631180 |
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