Structural Damage Detection by Using Single Natural Frequency and the Corresponding Mode Shape
Damage can be identified using generalized flexibility matrix based methods, by using the first natural frequency and the corresponding mode shape. However, the first mode is not always appropriate to be used in damage detection. The contact interface of rod-fastened-rotor may be partially separated...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2016/8194549 |
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| _version_ | 1832548538545864704 |
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| author | Bo Zhao Zili Xu Xuanen Kan Jize Zhong Tian Guo |
| author_facet | Bo Zhao Zili Xu Xuanen Kan Jize Zhong Tian Guo |
| author_sort | Bo Zhao |
| collection | DOAJ |
| description | Damage can be identified using generalized flexibility matrix based methods, by using the first natural frequency and the corresponding mode shape. However, the first mode is not always appropriate to be used in damage detection. The contact interface of rod-fastened-rotor may be partially separated under bending moment which decreases the flexural stiffness of the rotor. The bending moment on the interface varies as rotating speed changes, so that the first- and second-modal parameters obtained are corresponding to different damage scenarios. In this paper, a structural damage detection method requiring single nonfirst mode is proposed. Firstly, the system is updated via restricting the first few mode shapes. The mass matrix, stiffness matrix, and modal parameters of the updated system are derived. Then, the generalized flexibility matrix of the updated system is obtained, and its changes and sensitivity to damage are derived. The changes and sensitivity are used to calculate the location and severity of damage. Finally, this method is tested through numerical means on a cantilever beam and a rod-fastened-rotor with different damage scenarios when only the second mode is available. The results indicate that the proposed method can effectively identify single, double, and multiple damage using single nonfirst mode. |
| format | Article |
| id | doaj-art-59c61ff34e0646debcd3534d6c13d3f5 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-59c61ff34e0646debcd3534d6c13d3f52025-02-03T06:13:44ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/81945498194549Structural Damage Detection by Using Single Natural Frequency and the Corresponding Mode ShapeBo Zhao0Zili Xu1Xuanen Kan2Jize Zhong3Tian Guo4State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an 710049, ChinaState Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an 710049, ChinaState Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an 710049, ChinaState Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an 710049, ChinaState Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an 710049, ChinaDamage can be identified using generalized flexibility matrix based methods, by using the first natural frequency and the corresponding mode shape. However, the first mode is not always appropriate to be used in damage detection. The contact interface of rod-fastened-rotor may be partially separated under bending moment which decreases the flexural stiffness of the rotor. The bending moment on the interface varies as rotating speed changes, so that the first- and second-modal parameters obtained are corresponding to different damage scenarios. In this paper, a structural damage detection method requiring single nonfirst mode is proposed. Firstly, the system is updated via restricting the first few mode shapes. The mass matrix, stiffness matrix, and modal parameters of the updated system are derived. Then, the generalized flexibility matrix of the updated system is obtained, and its changes and sensitivity to damage are derived. The changes and sensitivity are used to calculate the location and severity of damage. Finally, this method is tested through numerical means on a cantilever beam and a rod-fastened-rotor with different damage scenarios when only the second mode is available. The results indicate that the proposed method can effectively identify single, double, and multiple damage using single nonfirst mode.http://dx.doi.org/10.1155/2016/8194549 |
| spellingShingle | Bo Zhao Zili Xu Xuanen Kan Jize Zhong Tian Guo Structural Damage Detection by Using Single Natural Frequency and the Corresponding Mode Shape Shock and Vibration |
| title | Structural Damage Detection by Using Single Natural Frequency and the Corresponding Mode Shape |
| title_full | Structural Damage Detection by Using Single Natural Frequency and the Corresponding Mode Shape |
| title_fullStr | Structural Damage Detection by Using Single Natural Frequency and the Corresponding Mode Shape |
| title_full_unstemmed | Structural Damage Detection by Using Single Natural Frequency and the Corresponding Mode Shape |
| title_short | Structural Damage Detection by Using Single Natural Frequency and the Corresponding Mode Shape |
| title_sort | structural damage detection by using single natural frequency and the corresponding mode shape |
| url | http://dx.doi.org/10.1155/2016/8194549 |
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