Damaged Flexibility Matrix Method for Damage Detection of Frame Buildings
This study presents the damaged flexibility matrix method (DFM) to identify and determine the magnitude of damage in structural elements of plane frame buildings. Damage is expressed as the increment in flexibility along the damaged structural element. This method uses a new approach to assemble the...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2020/3534957 |
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| author | Luis S. Vaca Oyola Mónica R. Jaime Fonseca Ramsés Rodríguez Rocha |
| author_facet | Luis S. Vaca Oyola Mónica R. Jaime Fonseca Ramsés Rodríguez Rocha |
| author_sort | Luis S. Vaca Oyola |
| collection | DOAJ |
| description | This study presents the damaged flexibility matrix method (DFM) to identify and determine the magnitude of damage in structural elements of plane frame buildings. Damage is expressed as the increment in flexibility along the damaged structural element. This method uses a new approach to assemble the flexibility matrix of the structure through an iterative process, and it adjusts the eigenvalues of the damaged flexibility matrices of each system element. The DFM was calibrated using numerical models of plane frames of buildings studied by other authors. The advantage of the DFM, with respect to other flexibility-based methods, is that DFM minimizes the adverse effect of modal truncation. The DFM demonstrated excellent accuracy with complete modal information, even when it was applied to a more realistic scenario, considering frequencies and modal shapes measured from the recorded accelerations of buildings stories. The DFM also presents a new approach to simulate the effects of noise by perturbing matrices of flexibilities. This approach can be useful for research on realistic damage detection. The combined effects of incomplete modal information and noise were studied in a ten-story four-bay building model taken from the literature. The ability of the DFM to assess structural damage was corroborated. Application of the proposed method to a ten-story four-bay building model demonstrates its efficiency to identify the flexibility increment in damaged structural elements. |
| format | Article |
| id | doaj-art-53f01b5bcf474f748d8237797033ca16 |
| institution | Kabale University |
| issn | 1687-8086 1687-8094 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-53f01b5bcf474f748d8237797033ca162025-02-03T01:21:34ZengWileyAdvances in Civil Engineering1687-80861687-80942020-01-01202010.1155/2020/35349573534957Damaged Flexibility Matrix Method for Damage Detection of Frame BuildingsLuis S. Vaca Oyola0Mónica R. Jaime Fonseca1Ramsés Rodríguez Rocha2Centro de Investigación en Ciencia Aplicada y Tecnología Avanzada Unidad Legaria, IPN. Av. Legaria 694, Col. Irrigación, Ciudad de Mexico 11500, MexicoCentro de Investigación en Ciencia Aplicada y Tecnología Avanzada Unidad Legaria, IPN. Av. Legaria 694, Col. Irrigación, Ciudad de Mexico 11500, MexicoDepartment of Structural Engineering, Escuela Superior de Ingeniería y Arquitectura, IPN, Av. Juan de Dios Batiz, Edificio de Posgrado, Col. Zacatenco, Ciudad de Mexico 07738, MexicoThis study presents the damaged flexibility matrix method (DFM) to identify and determine the magnitude of damage in structural elements of plane frame buildings. Damage is expressed as the increment in flexibility along the damaged structural element. This method uses a new approach to assemble the flexibility matrix of the structure through an iterative process, and it adjusts the eigenvalues of the damaged flexibility matrices of each system element. The DFM was calibrated using numerical models of plane frames of buildings studied by other authors. The advantage of the DFM, with respect to other flexibility-based methods, is that DFM minimizes the adverse effect of modal truncation. The DFM demonstrated excellent accuracy with complete modal information, even when it was applied to a more realistic scenario, considering frequencies and modal shapes measured from the recorded accelerations of buildings stories. The DFM also presents a new approach to simulate the effects of noise by perturbing matrices of flexibilities. This approach can be useful for research on realistic damage detection. The combined effects of incomplete modal information and noise were studied in a ten-story four-bay building model taken from the literature. The ability of the DFM to assess structural damage was corroborated. Application of the proposed method to a ten-story four-bay building model demonstrates its efficiency to identify the flexibility increment in damaged structural elements.http://dx.doi.org/10.1155/2020/3534957 |
| spellingShingle | Luis S. Vaca Oyola Mónica R. Jaime Fonseca Ramsés Rodríguez Rocha Damaged Flexibility Matrix Method for Damage Detection of Frame Buildings Advances in Civil Engineering |
| title | Damaged Flexibility Matrix Method for Damage Detection of Frame Buildings |
| title_full | Damaged Flexibility Matrix Method for Damage Detection of Frame Buildings |
| title_fullStr | Damaged Flexibility Matrix Method for Damage Detection of Frame Buildings |
| title_full_unstemmed | Damaged Flexibility Matrix Method for Damage Detection of Frame Buildings |
| title_short | Damaged Flexibility Matrix Method for Damage Detection of Frame Buildings |
| title_sort | damaged flexibility matrix method for damage detection of frame buildings |
| url | http://dx.doi.org/10.1155/2020/3534957 |
| work_keys_str_mv | AT luissvacaoyola damagedflexibilitymatrixmethodfordamagedetectionofframebuildings AT monicarjaimefonseca damagedflexibilitymatrixmethodfordamagedetectionofframebuildings AT ramsesrodriguezrocha damagedflexibilitymatrixmethodfordamagedetectionofframebuildings |