A Force Identification Method for Geometric Nonlinear Structures
Excitation identification for nonlinear structures is still a challenging problem due to the convergence and accuracy in this process. In this study, a load estimation method is proposed with orthogonal decomposition, the order for which can be fairly accurately determined by a regression. In this p...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/13/5/3084 |
| _version_ | 1797615747053125632 |
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| author | Lina Guo Yong Ding |
| author_facet | Lina Guo Yong Ding |
| author_sort | Lina Guo |
| collection | DOAJ |
| description | Excitation identification for nonlinear structures is still a challenging problem due to the convergence and accuracy in this process. In this study, a load estimation method is proposed with orthogonal decomposition, the order for which can be fairly accurately determined by a regression. In this process, the force time history is represented by the orthogonal basis and the coefficients of the orthogonal decomposition are taken as unknowns and augmented to the state variable, which can be identified recursively in state space. A general energy-conserving method is selected to a step-by-step integration to guarantee the convergence of this integration. The proposed method is first validated by numerical simulation studies of a truss structure considering its geometric property. The identification results of the numerical studies demonstrate that the proposed excitation identification method and the orthogonal decomposition order determination method work well for nonlinear structures. The laboratory work of a 7-story frame is investigated to consider the geometric nonlinearity in impact force identification. The results of experimental studies show that uncertainties such as measurement noise and model error are included in the investigation of the accuracy and robustness of the proposed force identification method, while the time history of external forces could be identified with promising results. |
| first_indexed | 2024-03-11T07:31:04Z |
| format | Article |
| id | doaj.art-c286cc072fae4eaa91909eb59f700cc5 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-11T07:31:04Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-c286cc072fae4eaa91909eb59f700cc52023-11-17T07:19:02ZengMDPI AGApplied Sciences2076-34172023-02-01135308410.3390/app13053084A Force Identification Method for Geometric Nonlinear StructuresLina Guo0Yong Ding1Key Laboratory of Earthquake Disaster Mitigation of the Ministry of Emergency Management, Harbin 150080, ChinaKey Laboratory of Earthquake Disaster Mitigation of the Ministry of Emergency Management, Harbin 150080, ChinaExcitation identification for nonlinear structures is still a challenging problem due to the convergence and accuracy in this process. In this study, a load estimation method is proposed with orthogonal decomposition, the order for which can be fairly accurately determined by a regression. In this process, the force time history is represented by the orthogonal basis and the coefficients of the orthogonal decomposition are taken as unknowns and augmented to the state variable, which can be identified recursively in state space. A general energy-conserving method is selected to a step-by-step integration to guarantee the convergence of this integration. The proposed method is first validated by numerical simulation studies of a truss structure considering its geometric property. The identification results of the numerical studies demonstrate that the proposed excitation identification method and the orthogonal decomposition order determination method work well for nonlinear structures. The laboratory work of a 7-story frame is investigated to consider the geometric nonlinearity in impact force identification. The results of experimental studies show that uncertainties such as measurement noise and model error are included in the investigation of the accuracy and robustness of the proposed force identification method, while the time history of external forces could be identified with promising results.https://www.mdpi.com/2076-3417/13/5/3084load identificationhysteresis nonlinearitygeometric nonlinearityunscented Kalman filterChebyshev polynomial |
| spellingShingle | Lina Guo Yong Ding A Force Identification Method for Geometric Nonlinear Structures Applied Sciences load identification hysteresis nonlinearity geometric nonlinearity unscented Kalman filter Chebyshev polynomial |
| title | A Force Identification Method for Geometric Nonlinear Structures |
| title_full | A Force Identification Method for Geometric Nonlinear Structures |
| title_fullStr | A Force Identification Method for Geometric Nonlinear Structures |
| title_full_unstemmed | A Force Identification Method for Geometric Nonlinear Structures |
| title_short | A Force Identification Method for Geometric Nonlinear Structures |
| title_sort | force identification method for geometric nonlinear structures |
| topic | load identification hysteresis nonlinearity geometric nonlinearity unscented Kalman filter Chebyshev polynomial |
| url | https://www.mdpi.com/2076-3417/13/5/3084 |
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