On the Use of Singular Vectors for the Flexibility-Based Damage Detection under the Assumption of Unknown Structural Masses

The main purpose of this work is to investigate the usability of easily obtainable parameters instead of the modal traditional ones, in the context of a flexibility-based damage detection procedure, under the assumption of unknown structural masses. To this aim, a comparison is made between two diff...

Full description

Saved in:
Bibliographic Details
Main Authors: Said Quqa, Luca Landi, Pier Paolo Diotallevi
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2018/9837694
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850171141057937408
author Said Quqa
Luca Landi
Pier Paolo Diotallevi
author_facet Said Quqa
Luca Landi
Pier Paolo Diotallevi
author_sort Said Quqa
collection DOAJ
description The main purpose of this work is to investigate the usability of easily obtainable parameters instead of the modal traditional ones, in the context of a flexibility-based damage detection procedure, under the assumption of unknown structural masses. To this aim, a comparison is made between two different approaches: the first involves the calculation of the flexibility matrix by using traditional modal parameters, such as natural frequencies and modal vectors, normalized to unitary values, while the second involves the use of singular vectors, obtained through a simple matrix factorization. The modal parameters and the singular vectors necessary for the implementation of the damage detection procedure are evaluated through two different techniques: the Eigensystem Realization Algorithm and a wavelet-based procedure, for which a variant is proposed by introducing the energy reassignment concept into the original algorithm. Through the latter approach, in particular, it is possible to obtain a high number of singular vectors even in the case of reduced availability of sensors. The study is performed under the assumption of nonstationary excitation, in order to achieve general results, and the effectiveness of the procedures is evaluated through simulated tests regarding different structural schemes.
format Article
id doaj-art-9d3f22cc2c8848a58d11176c64dd59ca
institution OA Journals
issn 1070-9622
1875-9203
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-9d3f22cc2c8848a58d11176c64dd59ca2025-08-20T02:20:19ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/98376949837694On the Use of Singular Vectors for the Flexibility-Based Damage Detection under the Assumption of Unknown Structural MassesSaid Quqa0Luca Landi1Pier Paolo Diotallevi2Department DICAM, University of Bologna, Viale Risorgimento 2, 40136 Bologna, ItalyDepartment DICAM, University of Bologna, Viale Risorgimento 2, 40136 Bologna, ItalyDepartment DICAM, University of Bologna, Viale Risorgimento 2, 40136 Bologna, ItalyThe main purpose of this work is to investigate the usability of easily obtainable parameters instead of the modal traditional ones, in the context of a flexibility-based damage detection procedure, under the assumption of unknown structural masses. To this aim, a comparison is made between two different approaches: the first involves the calculation of the flexibility matrix by using traditional modal parameters, such as natural frequencies and modal vectors, normalized to unitary values, while the second involves the use of singular vectors, obtained through a simple matrix factorization. The modal parameters and the singular vectors necessary for the implementation of the damage detection procedure are evaluated through two different techniques: the Eigensystem Realization Algorithm and a wavelet-based procedure, for which a variant is proposed by introducing the energy reassignment concept into the original algorithm. Through the latter approach, in particular, it is possible to obtain a high number of singular vectors even in the case of reduced availability of sensors. The study is performed under the assumption of nonstationary excitation, in order to achieve general results, and the effectiveness of the procedures is evaluated through simulated tests regarding different structural schemes.http://dx.doi.org/10.1155/2018/9837694
spellingShingle Said Quqa
Luca Landi
Pier Paolo Diotallevi
On the Use of Singular Vectors for the Flexibility-Based Damage Detection under the Assumption of Unknown Structural Masses
Shock and Vibration
title On the Use of Singular Vectors for the Flexibility-Based Damage Detection under the Assumption of Unknown Structural Masses
title_full On the Use of Singular Vectors for the Flexibility-Based Damage Detection under the Assumption of Unknown Structural Masses
title_fullStr On the Use of Singular Vectors for the Flexibility-Based Damage Detection under the Assumption of Unknown Structural Masses
title_full_unstemmed On the Use of Singular Vectors for the Flexibility-Based Damage Detection under the Assumption of Unknown Structural Masses
title_short On the Use of Singular Vectors for the Flexibility-Based Damage Detection under the Assumption of Unknown Structural Masses
title_sort on the use of singular vectors for the flexibility based damage detection under the assumption of unknown structural masses
url http://dx.doi.org/10.1155/2018/9837694
work_keys_str_mv AT saidquqa ontheuseofsingularvectorsfortheflexibilitybaseddamagedetectionundertheassumptionofunknownstructuralmasses
AT lucalandi ontheuseofsingularvectorsfortheflexibilitybaseddamagedetectionundertheassumptionofunknownstructuralmasses
AT pierpaolodiotallevi ontheuseofsingularvectorsfortheflexibilitybaseddamagedetectionundertheassumptionofunknownstructuralmasses