Modal Parameters Identification Method Based on Symplectic Geometry Model Decomposition
This paper proposes a novel method of structural system modal identification, where the iterative method is introduced in symplectic geometric model decomposition (SGMD). The proposed method can decompose the measured response into finite symplectic geometric components and identify the modal parame...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2019/5018732 |
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| _version_ | 1832560971188535296 |
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| author | Hang Jin Jianhui Lin Xieqi Chen Cai Yi |
| author_facet | Hang Jin Jianhui Lin Xieqi Chen Cai Yi |
| author_sort | Hang Jin |
| collection | DOAJ |
| description | This paper proposes a novel method of structural system modal identification, where the iterative method is introduced in symplectic geometric model decomposition (SGMD). The proposed method can decompose the measured response into finite symplectic geometric components and identify the modal parameters of time-invariant structures and the instantaneous frequency of time-variant system through each symplectic geometric component. To obtain the shape information of the structural model, the SGCs of the same frequency at different measuring points are subjected to singular value decomposition (SVD). Both simulated data verification and measured data verification were used to verify if the method proposed in this article is effective for time-invariant system and time-variant system identification. For the simulated data, we study on a structural system which is set up with time-variant stiffness and time-invariant system. The measured vibration data of beam structure and time-variant wheel-rail coupling system were also tested and varied. Compared with the results of empirical model decomposition, the proposed method is capable of identifying instantaneous frequencies with better accuracy. |
| format | Article |
| id | doaj-art-cde8223dc1704097bb881baa2412c4cf |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-cde8223dc1704097bb881baa2412c4cf2025-02-03T01:26:21ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/50187325018732Modal Parameters Identification Method Based on Symplectic Geometry Model DecompositionHang Jin0Jianhui Lin1Xieqi Chen2Cai Yi3State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, ChinaState Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, ChinaState Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, ChinaState Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, ChinaThis paper proposes a novel method of structural system modal identification, where the iterative method is introduced in symplectic geometric model decomposition (SGMD). The proposed method can decompose the measured response into finite symplectic geometric components and identify the modal parameters of time-invariant structures and the instantaneous frequency of time-variant system through each symplectic geometric component. To obtain the shape information of the structural model, the SGCs of the same frequency at different measuring points are subjected to singular value decomposition (SVD). Both simulated data verification and measured data verification were used to verify if the method proposed in this article is effective for time-invariant system and time-variant system identification. For the simulated data, we study on a structural system which is set up with time-variant stiffness and time-invariant system. The measured vibration data of beam structure and time-variant wheel-rail coupling system were also tested and varied. Compared with the results of empirical model decomposition, the proposed method is capable of identifying instantaneous frequencies with better accuracy.http://dx.doi.org/10.1155/2019/5018732 |
| spellingShingle | Hang Jin Jianhui Lin Xieqi Chen Cai Yi Modal Parameters Identification Method Based on Symplectic Geometry Model Decomposition Shock and Vibration |
| title | Modal Parameters Identification Method Based on Symplectic Geometry Model Decomposition |
| title_full | Modal Parameters Identification Method Based on Symplectic Geometry Model Decomposition |
| title_fullStr | Modal Parameters Identification Method Based on Symplectic Geometry Model Decomposition |
| title_full_unstemmed | Modal Parameters Identification Method Based on Symplectic Geometry Model Decomposition |
| title_short | Modal Parameters Identification Method Based on Symplectic Geometry Model Decomposition |
| title_sort | modal parameters identification method based on symplectic geometry model decomposition |
| url | http://dx.doi.org/10.1155/2019/5018732 |
| work_keys_str_mv | AT hangjin modalparametersidentificationmethodbasedonsymplecticgeometrymodeldecomposition AT jianhuilin modalparametersidentificationmethodbasedonsymplecticgeometrymodeldecomposition AT xieqichen modalparametersidentificationmethodbasedonsymplecticgeometrymodeldecomposition AT caiyi modalparametersidentificationmethodbasedonsymplecticgeometrymodeldecomposition |