Model Updating for Systems with General Proportional Damping Using Complex FRFs
In this paper, we propose a model updating method for systems with nonviscous proportional damping. In comparison to the traditional viscous damping model, the introduction of nonviscous damping will not only reduce the vibration of the system but also change the resonance frequencies. Therefore, mo...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2020/8886082 |
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| _version_ | 1832560016039608320 |
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| author | Xinhai Wu Huan He Yang Liu Guoping Chen |
| author_facet | Xinhai Wu Huan He Yang Liu Guoping Chen |
| author_sort | Xinhai Wu |
| collection | DOAJ |
| description | In this paper, we propose a model updating method for systems with nonviscous proportional damping. In comparison to the traditional viscous damping model, the introduction of nonviscous damping will not only reduce the vibration of the system but also change the resonance frequencies. Therefore, most of the existing updating methods cannot be directly applied to systems with nonviscous damping. In many works, for simplicity, the Rayleigh damping model has been applied in the model updating procedure. However, the assumption of Rayleigh damping may result in large errors of damping for higher modes. To capture the variation of modal damping ratio with frequency in a more general way, the diagonal elements of the modal damping matrix and relaxation parameter are updated to characterize the damping energy dissipation of the structure by the proposed method. Spatial and modal incompleteness are both discussed for the updating procedure. Numerical simulations and experimental examples are adopted to validate the effectiveness of the proposed method. The results show that the systems with general proportional damping can be predicted more accurately by the proposed updating method. |
| format | Article |
| id | doaj-art-057c08d3590741b690ef2a8fa8d03cb7 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-057c08d3590741b690ef2a8fa8d03cb72025-02-03T01:28:34ZengWileyShock and Vibration1070-96221875-92032020-01-01202010.1155/2020/88860828886082Model Updating for Systems with General Proportional Damping Using Complex FRFsXinhai Wu0Huan He1Yang Liu2Guoping Chen3State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaState Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaState Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaState Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaIn this paper, we propose a model updating method for systems with nonviscous proportional damping. In comparison to the traditional viscous damping model, the introduction of nonviscous damping will not only reduce the vibration of the system but also change the resonance frequencies. Therefore, most of the existing updating methods cannot be directly applied to systems with nonviscous damping. In many works, for simplicity, the Rayleigh damping model has been applied in the model updating procedure. However, the assumption of Rayleigh damping may result in large errors of damping for higher modes. To capture the variation of modal damping ratio with frequency in a more general way, the diagonal elements of the modal damping matrix and relaxation parameter are updated to characterize the damping energy dissipation of the structure by the proposed method. Spatial and modal incompleteness are both discussed for the updating procedure. Numerical simulations and experimental examples are adopted to validate the effectiveness of the proposed method. The results show that the systems with general proportional damping can be predicted more accurately by the proposed updating method.http://dx.doi.org/10.1155/2020/8886082 |
| spellingShingle | Xinhai Wu Huan He Yang Liu Guoping Chen Model Updating for Systems with General Proportional Damping Using Complex FRFs Shock and Vibration |
| title | Model Updating for Systems with General Proportional Damping Using Complex FRFs |
| title_full | Model Updating for Systems with General Proportional Damping Using Complex FRFs |
| title_fullStr | Model Updating for Systems with General Proportional Damping Using Complex FRFs |
| title_full_unstemmed | Model Updating for Systems with General Proportional Damping Using Complex FRFs |
| title_short | Model Updating for Systems with General Proportional Damping Using Complex FRFs |
| title_sort | model updating for systems with general proportional damping using complex frfs |
| url | http://dx.doi.org/10.1155/2020/8886082 |
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