Detection, Localisation and Quantification of Structural Damage Using Changes in Modal Characteristics

The article defines and explains methods for detecting and locating damage and quantifying its extent on an example of a finite element model of a simple beam. The defined methods are based on a comparison of the decreases in the bending natural frequencies of the nominally damaged models against th...

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Main Authors: Marek Páleník, Miloš Musil, Juraj Úradníček
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/19/10777
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author Marek Páleník
Miloš Musil
Juraj Úradníček
author_facet Marek Páleník
Miloš Musil
Juraj Úradníček
author_sort Marek Páleník
collection DOAJ
description The article defines and explains methods for detecting and locating damage and quantifying its extent on an example of a finite element model of a simple beam. The defined methods are based on a comparison of the decreases in the bending natural frequencies of the nominally damaged models against the intact model. This comparison assigns natural frequency decreases to curvature of a specific mode shape, which allows creation of an analytical reference model using polynomial regression, which assigns relative natural frequency decreases to the position on the beam. The localisation method assumes that the vector of the relative natural frequency decrease ratios are unique for each position on the beam. The quantification method considers as a relevant comparative quantity, slopes of relative natural frequency decreases, as a function of damage extent. Examples of damage localisation and quantification are defined, and the relative errors of these methods are analysed.
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spelling doaj.art-4aa8812ec07847caae47e1b0c662aa922023-11-19T14:04:04ZengMDPI AGApplied Sciences2076-34172023-09-0113191077710.3390/app131910777Detection, Localisation and Quantification of Structural Damage Using Changes in Modal CharacteristicsMarek Páleník0Miloš Musil1Juraj Úradníček2Institute of Applied Mechanics and Mechatronics, Faculty of Mechanical Engineering, Slovak University of Technology, Námestie Slobody 2910/17, 812 31 Staré Mesto, SlovakiaInstitute of Applied Mechanics and Mechatronics, Faculty of Mechanical Engineering, Slovak University of Technology, Námestie Slobody 2910/17, 812 31 Staré Mesto, SlovakiaInstitute of Applied Mechanics and Mechatronics, Faculty of Mechanical Engineering, Slovak University of Technology, Námestie Slobody 2910/17, 812 31 Staré Mesto, SlovakiaThe article defines and explains methods for detecting and locating damage and quantifying its extent on an example of a finite element model of a simple beam. The defined methods are based on a comparison of the decreases in the bending natural frequencies of the nominally damaged models against the intact model. This comparison assigns natural frequency decreases to curvature of a specific mode shape, which allows creation of an analytical reference model using polynomial regression, which assigns relative natural frequency decreases to the position on the beam. The localisation method assumes that the vector of the relative natural frequency decrease ratios are unique for each position on the beam. The quantification method considers as a relevant comparative quantity, slopes of relative natural frequency decreases, as a function of damage extent. Examples of damage localisation and quantification are defined, and the relative errors of these methods are analysed.https://www.mdpi.com/2076-3417/13/19/10777modesnatural frequencydamageidentification
spellingShingle Marek Páleník
Miloš Musil
Juraj Úradníček
Detection, Localisation and Quantification of Structural Damage Using Changes in Modal Characteristics
Applied Sciences
modes
natural frequency
damage
identification
title Detection, Localisation and Quantification of Structural Damage Using Changes in Modal Characteristics
title_full Detection, Localisation and Quantification of Structural Damage Using Changes in Modal Characteristics
title_fullStr Detection, Localisation and Quantification of Structural Damage Using Changes in Modal Characteristics
title_full_unstemmed Detection, Localisation and Quantification of Structural Damage Using Changes in Modal Characteristics
title_short Detection, Localisation and Quantification of Structural Damage Using Changes in Modal Characteristics
title_sort detection localisation and quantification of structural damage using changes in modal characteristics
topic modes
natural frequency
damage
identification
url https://www.mdpi.com/2076-3417/13/19/10777
work_keys_str_mv AT marekpalenik detectionlocalisationandquantificationofstructuraldamageusingchangesinmodalcharacteristics
AT milosmusil detectionlocalisationandquantificationofstructuraldamageusingchangesinmodalcharacteristics
AT jurajuradnicek detectionlocalisationandquantificationofstructuraldamageusingchangesinmodalcharacteristics