Scaling Mode Shapes in Output-Only Structure by a Mass-Change-Based Method
A mass-change-based method based on output-only data for the rescaling of mode shapes in operational modal analysis (OMA) is introduced. The mass distribution matrix, which is defined as a diagonal matrix whose diagonal elements represent the ratios among the diagonal elements of the mass matrix, is...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2017/2617534 |
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| author | Liangliang Yu Hanwen Song |
| author_facet | Liangliang Yu Hanwen Song |
| author_sort | Liangliang Yu |
| collection | DOAJ |
| description | A mass-change-based method based on output-only data for the rescaling of mode shapes in operational modal analysis (OMA) is introduced. The mass distribution matrix, which is defined as a diagonal matrix whose diagonal elements represent the ratios among the diagonal elements of the mass matrix, is calculated using the unscaled mode shapes. Based on the theory of null space, the mass distribution vector or mass distribution matrix is obtained. A small mass with calibrated weight is added to a certain location of the structure, and then the mass distribution vector of the modified structure is estimated. The mass matrix is identified according to the difference of the mass distribution vectors between the original and modified structures. Additionally, the universal set of modes is unnecessary when calculating the mass distribution matrix, indicating that modal truncation is allowed in the proposed method. The mass-scaled mode shapes estimated in OMA according to the proposed method are compared with those obtained by experimental modal analysis. A simulation is employed to validate the feasibility of the method. Finally, the method is tested on output-only data from an experiment on a five-storey structure, and the results confirm the effectiveness of the method. |
| format | Article |
| id | doaj-art-3ad26c8537f5405d96e5164e381c29b5 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-3ad26c8537f5405d96e5164e381c29b52025-02-03T01:02:11ZengWileyShock and Vibration1070-96221875-92032017-01-01201710.1155/2017/26175342617534Scaling Mode Shapes in Output-Only Structure by a Mass-Change-Based MethodLiangliang Yu0Hanwen Song1School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, ChinaSchool of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, ChinaA mass-change-based method based on output-only data for the rescaling of mode shapes in operational modal analysis (OMA) is introduced. The mass distribution matrix, which is defined as a diagonal matrix whose diagonal elements represent the ratios among the diagonal elements of the mass matrix, is calculated using the unscaled mode shapes. Based on the theory of null space, the mass distribution vector or mass distribution matrix is obtained. A small mass with calibrated weight is added to a certain location of the structure, and then the mass distribution vector of the modified structure is estimated. The mass matrix is identified according to the difference of the mass distribution vectors between the original and modified structures. Additionally, the universal set of modes is unnecessary when calculating the mass distribution matrix, indicating that modal truncation is allowed in the proposed method. The mass-scaled mode shapes estimated in OMA according to the proposed method are compared with those obtained by experimental modal analysis. A simulation is employed to validate the feasibility of the method. Finally, the method is tested on output-only data from an experiment on a five-storey structure, and the results confirm the effectiveness of the method.http://dx.doi.org/10.1155/2017/2617534 |
| spellingShingle | Liangliang Yu Hanwen Song Scaling Mode Shapes in Output-Only Structure by a Mass-Change-Based Method Shock and Vibration |
| title | Scaling Mode Shapes in Output-Only Structure by a Mass-Change-Based Method |
| title_full | Scaling Mode Shapes in Output-Only Structure by a Mass-Change-Based Method |
| title_fullStr | Scaling Mode Shapes in Output-Only Structure by a Mass-Change-Based Method |
| title_full_unstemmed | Scaling Mode Shapes in Output-Only Structure by a Mass-Change-Based Method |
| title_short | Scaling Mode Shapes in Output-Only Structure by a Mass-Change-Based Method |
| title_sort | scaling mode shapes in output only structure by a mass change based method |
| url | http://dx.doi.org/10.1155/2017/2617534 |
| work_keys_str_mv | AT liangliangyu scalingmodeshapesinoutputonlystructurebyamasschangebasedmethod AT hanwensong scalingmodeshapesinoutputonlystructurebyamasschangebasedmethod |