Non-probabilistic wavelet method to consider uncertainties in structural damage detection

In vibration-based damage detection studies, researchers have shown that wavelet transform (WT) is an effective tool for detecting damage. However, structural damage detection is hindered by uncertainties in structural models and measurement data. Various attempts have been made to address this prob...

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Main Authors: Abdul kareem, Muyideen, Bakhary, Norhisham, Vafaei, Mohammadreza, Md. Noor, Norhazilan, Padil, Khairul H.
Format: Article
Published: Academic Press 2018
Subjects:
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author Abdul kareem, Muyideen
Bakhary, Norhisham
Vafaei, Mohammadreza
Md. Noor, Norhazilan
Padil, Khairul H.
author_facet Abdul kareem, Muyideen
Bakhary, Norhisham
Vafaei, Mohammadreza
Md. Noor, Norhazilan
Padil, Khairul H.
author_sort Abdul kareem, Muyideen
collection ePrints
description In vibration-based damage detection studies, researchers have shown that wavelet transform (WT) is an effective tool for detecting damage. However, structural damage detection is hindered by uncertainties in structural models and measurement data. Various attempts have been made to address this problem by incorporating a probabilistic WT method. The success enjoyed by the probabilistic method is limited by lack of adequate information to obtain an unbiased probabilistic distribution of uncertainties. In addition, the probabilistic method involves complex and expensive computations. In this study, a non-probabilistic wavelet transform method is proposed that resolves the problem of uncertainties in vibration-based damage detection. The mode shapes of the damaged and undamaged structure are decomposed to obtain the wavelet transform coefficient values (m). With the interval analysis method, the uncertainties in the obtained mode shapes are taken to be coupled rather than statistically distributed. In this way, the interval bounds (upper and lower bounds) of the changes in the wavelet transform coefficient values are calculated. A coefficient increment factor (CIF) based on the wavelet transform coefficient value is established, and the elemental possibility of damage existence (PoDE) is defined. Numerical and experimental models of a four-side-fixed square steel plate are applied to demonstrate the efficiency of the proposed method. Furthermore, the effect of different damage severities and the impact of different noise levels on damage identification are presented. The proposed method effectively identified damage.
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spelling utm.eprints-846112020-02-27T03:20:55Z http://eprints.utm.my/84611/ Non-probabilistic wavelet method to consider uncertainties in structural damage detection Abdul kareem, Muyideen Bakhary, Norhisham Vafaei, Mohammadreza Md. Noor, Norhazilan Padil, Khairul H. TA Engineering (General). Civil engineering (General) In vibration-based damage detection studies, researchers have shown that wavelet transform (WT) is an effective tool for detecting damage. However, structural damage detection is hindered by uncertainties in structural models and measurement data. Various attempts have been made to address this problem by incorporating a probabilistic WT method. The success enjoyed by the probabilistic method is limited by lack of adequate information to obtain an unbiased probabilistic distribution of uncertainties. In addition, the probabilistic method involves complex and expensive computations. In this study, a non-probabilistic wavelet transform method is proposed that resolves the problem of uncertainties in vibration-based damage detection. The mode shapes of the damaged and undamaged structure are decomposed to obtain the wavelet transform coefficient values (m). With the interval analysis method, the uncertainties in the obtained mode shapes are taken to be coupled rather than statistically distributed. In this way, the interval bounds (upper and lower bounds) of the changes in the wavelet transform coefficient values are calculated. A coefficient increment factor (CIF) based on the wavelet transform coefficient value is established, and the elemental possibility of damage existence (PoDE) is defined. Numerical and experimental models of a four-side-fixed square steel plate are applied to demonstrate the efficiency of the proposed method. Furthermore, the effect of different damage severities and the impact of different noise levels on damage identification are presented. The proposed method effectively identified damage. Academic Press 2018-10 Article PeerReviewed Abdul kareem, Muyideen and Bakhary, Norhisham and Vafaei, Mohammadreza and Md. Noor, Norhazilan and Padil, Khairul H. (2018) Non-probabilistic wavelet method to consider uncertainties in structural damage detection. Journal of Sound and Vibration, 433 . pp. 77-98. ISSN 0022-460X http://dx.doi.org/10.1016/j.jsv.2018.07.011
spellingShingle TA Engineering (General). Civil engineering (General)
Abdul kareem, Muyideen
Bakhary, Norhisham
Vafaei, Mohammadreza
Md. Noor, Norhazilan
Padil, Khairul H.
Non-probabilistic wavelet method to consider uncertainties in structural damage detection
title Non-probabilistic wavelet method to consider uncertainties in structural damage detection
title_full Non-probabilistic wavelet method to consider uncertainties in structural damage detection
title_fullStr Non-probabilistic wavelet method to consider uncertainties in structural damage detection
title_full_unstemmed Non-probabilistic wavelet method to consider uncertainties in structural damage detection
title_short Non-probabilistic wavelet method to consider uncertainties in structural damage detection
title_sort non probabilistic wavelet method to consider uncertainties in structural damage detection
topic TA Engineering (General). Civil engineering (General)
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AT bakharynorhisham nonprobabilisticwaveletmethodtoconsideruncertaintiesinstructuraldamagedetection
AT vafaeimohammadreza nonprobabilisticwaveletmethodtoconsideruncertaintiesinstructuraldamagedetection
AT mdnoornorhazilan nonprobabilisticwaveletmethodtoconsideruncertaintiesinstructuraldamagedetection
AT padilkhairulh nonprobabilisticwaveletmethodtoconsideruncertaintiesinstructuraldamagedetection