### Resumé

If a subdomain of a structural system is introduced to a perturbation, the resulting shifts in any field quantity outside the boundary of some closed region encompassing the perturbation can be generated from stress fields acting on the aforementioned boundary. In the present paper, this is exploited in the context of structural damage localization to cast the Subspace Exclusion Zone (SEZ) scheme, which locates damage by inspecting the feasibility of generating the observed shifts from actions acting at the boundary of the postulated zones in a model of the structure in question. As such, the SEZ scheme is a forward interrogation that allows for a user-defined localization resolution and, under certain input conditions, operates without the use of system identification. The approach is most conveniently implemented in the Laplace domain and holds at s-values for which the load vector in the reference and the damaged states are proportional. The constraint that ensures exact results in an idealized model context is that the number of measurements outside any considered exclusion zone (EZ) exceeds the number of DOF on its boundary. It is shown, however, that useful results can be obtained with notably smaller sensor counts. The paper illustrates application of the SEZ scheme in simulations and in an experimental setting using a beam subjected to harmonic input.

Originalsprog | Engelsk |
---|---|

Tidsskrift | Mechanical Systems and Signal Processing |

Vol/bind | 114 |

Udgave nummer | January |

Sider (fra-til) | 120-127 |

Antal sider | 8 |

ISSN | 0888-3270 |

DOI | |

Status | Udgivet - 2019 |

### Fingerprint

### Emneord

- Damage localization
- Subspace exclusion zones
- User-defined localization resolution
- Structural health monitoring
- Vibration analysis

### Citer dette

*Mechanical Systems and Signal Processing*,

*114*(January), 120-127. https://doi.org/10.1016/j.ymssp.2018.05.002

}

*Mechanical Systems and Signal Processing*, bind 114, nr. January, s. 120-127. https://doi.org/10.1016/j.ymssp.2018.05.002

**Subspace exclusion zones for damage localization.** / Bernal, Dionisio; Ulriksen, Martin Dalgaard.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

TY - JOUR

T1 - Subspace exclusion zones for damage localization

AU - Bernal, Dionisio

AU - Ulriksen, Martin Dalgaard

PY - 2019

Y1 - 2019

N2 - If a subdomain of a structural system is introduced to a perturbation, the resulting shifts in any field quantity outside the boundary of some closed region encompassing the perturbation can be generated from stress fields acting on the aforementioned boundary. In the present paper, this is exploited in the context of structural damage localization to cast the Subspace Exclusion Zone (SEZ) scheme, which locates damage by inspecting the feasibility of generating the observed shifts from actions acting at the boundary of the postulated zones in a model of the structure in question. As such, the SEZ scheme is a forward interrogation that allows for a user-defined localization resolution and, under certain input conditions, operates without the use of system identification. The approach is most conveniently implemented in the Laplace domain and holds at s-values for which the load vector in the reference and the damaged states are proportional. The constraint that ensures exact results in an idealized model context is that the number of measurements outside any considered exclusion zone (EZ) exceeds the number of DOF on its boundary. It is shown, however, that useful results can be obtained with notably smaller sensor counts. The paper illustrates application of the SEZ scheme in simulations and in an experimental setting using a beam subjected to harmonic input.

AB - If a subdomain of a structural system is introduced to a perturbation, the resulting shifts in any field quantity outside the boundary of some closed region encompassing the perturbation can be generated from stress fields acting on the aforementioned boundary. In the present paper, this is exploited in the context of structural damage localization to cast the Subspace Exclusion Zone (SEZ) scheme, which locates damage by inspecting the feasibility of generating the observed shifts from actions acting at the boundary of the postulated zones in a model of the structure in question. As such, the SEZ scheme is a forward interrogation that allows for a user-defined localization resolution and, under certain input conditions, operates without the use of system identification. The approach is most conveniently implemented in the Laplace domain and holds at s-values for which the load vector in the reference and the damaged states are proportional. The constraint that ensures exact results in an idealized model context is that the number of measurements outside any considered exclusion zone (EZ) exceeds the number of DOF on its boundary. It is shown, however, that useful results can be obtained with notably smaller sensor counts. The paper illustrates application of the SEZ scheme in simulations and in an experimental setting using a beam subjected to harmonic input.

KW - Damage localization

KW - Subspace exclusion zones

KW - User-defined localization resolution

KW - Structural health monitoring

KW - Vibration analysis

KW - Damage localization

KW - Subspace exclusion zones

KW - User-defined localization resolution

KW - Structural health monitoring

KW - Vibration analysis

UR - http://www.scopus.com/inward/record.url?scp=85047068599&partnerID=8YFLogxK

U2 - 10.1016/j.ymssp.2018.05.002

DO - 10.1016/j.ymssp.2018.05.002

M3 - Journal article

VL - 114

SP - 120

EP - 127

JO - Mechanical Systems and Signal Processing

JF - Mechanical Systems and Signal Processing

SN - 0888-3270

IS - January

ER -