Wavelet-based analysis of mode shapes for statistical detection and localization of damage in beams using likelihood ratio test

Shahsavari, Vahid; Chouinard, Luc; Bastien, Josée

doi:10.1016/j.engstruct.2016.11.056

Cited by 66 publications

(45 citation statements)

References 37 publications

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“…However, in the context of civil structural health monitoring, the apparent limitation of the wavelet transform is that the rational evaluation of the wavelet coefficient from structural vibration modes requires the mode shape measurement with a relatively high spatial resolution and reasonable accuracy. The mode shape spatial resolution can be further enhanced by performing a large number of modal tests, utilizing advanced vibration instrument such as noncontact scanning laser Doppler vibrometer (Janeliukstis et al, 2017a,b;Reu et al, 2017), and applying interpolation techniques to smooth the sampling interval from one instrument to the other (Rucka and Wilde, 2006;Shahsavari et al, 2017). In this paper, the mode shapes are interpolated using a spline function with 20 interpolation nodes between each measuring point, resulting in a total number of 316 sampling nodes (or pseudo sensors).…”

Section: Overview Of Shm For Civil Structuresmentioning

confidence: 99%

Reliability of Wavelet Analysis of Mode Shapes for the Early Detection of Damage in Beams

Chouinard

Shahsavari

Bastien

2019

Front. Built Environ.

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Numerous procedures have been developed for the detection and the localization of damage in structures based on changes in the dynamic or static response of structures. Among these, procedures based on wavelet analysis of mode shapes appear to offer a superior performance especially for low levels of damage. In order to evaluate the relative merit of these approaches, criteria based on statistical and probabilistic performance are evaluated as a function of damage level for an experimental beam. These measures include the probability of detection, the probability of false alarms, and the safety index. The safety index used in this application is for the beam under pure bending, which provides a uniform criteria for damage at any location along the beam. The experimental data is obtained on a steel beam where the level of damage is controlled at two locations along its length. A total of 16 equally spaced accelerometers are deployed along the length of the beam. The dynamic properties used to illustrate the proposed procedure are changes in the frequency of the first mode of vibration of the beam and changes in the wavelet coefficients for the first mode of vibration. The data obtained for 5 increasing level of damage at two locations is used to derive prediction equations for the dynamic properties and to estimate the probability of detection and of false alarms as a function of damage level. The results indicate that the procedure based on wavelets is more efficient than the one based on natural frequencies in detecting and localizing low levels of damage. The results also indicate that a monitoring strategy based on wavelets can detect damage before structural safety is significantly compromised while maintaining low probabilities of false alarms.

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Section: Overview Of Shm For Civil Structuresmentioning

confidence: 99%

Reliability of Wavelet Analysis of Mode Shapes for the Early Detection of Damage in Beams

Chouinard

Shahsavari

Bastien

2019

Front. Built Environ.

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“…As a key component of structural health monitoring, structural system identification (SSI) aims to identify the parameters of a mathematical model that links the measured response and the external excitation of a structure. It is commonly assumed that the degradation of structures is reflected in the change of these parameters …”

Section: Introductionmentioning

confidence: 99%

“…It is commonly assumed that the degradation of structures is reflected in the change of these parameters. 2 According to the intrinsic characteristics of the structural response, SSI can be classified as static SSI [3][4][5][6][7][8][9][10][11][12][13][14] or dynamic SSI. [15][16][17][18][19][20] Compared with static SSI, dynamic SSI has been developed more extensively in the past decades.…”

Section: Introductionmentioning

confidence: 99%

Structural system identification by measurement error‐minimizing observability method

Lei

Galant

et al. 2019

Struct Control Health Monit

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Summary This paper proposes a method for the finite element model updating using static load tests under the framework of observability analysis. Previous works included measurement errors in the coefficient matrix of the observability equations. This impeded the obtainment of accurate estimations. To deal with this issue, the proposed method relocates the errors and incorporates an optimization procedure to minimize the square sum of these errors. This method is able to identify the structural parameters of complex structures where the axial and bending behaviors are coupled, such as inclined beams or frame structures. Its application is illustrated by three structures. First, the method was validated in a beam‐like structure by comparing it with other methods in the literature. Then the effects of different factors were investigated in a multistory frame and a rigid frame bridge with inclined piers. These factors include the curvatures, the inclusion of rotation measurements, and the constraints on the range of unidentifiable parameters. The importance of rotation measurements is demonstrated in static structural system identification.

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“…For example, damage localization can be performed on the basis of changes in natural frequency, mode shapes or modal curvature, or modal strain energy . Furthermore, artificial neural networks, genetic algorithms, wavelet‐based analysis, or other signal processing methods are applied among others. Besides model‐based and data‐driven approaches, a third group of methods has emerged that combines properties of both approaches, using data‐driven features computed in the reference and damaged states as well as information from an FE model of the healthy structure .…”

Section: Introductionmentioning

confidence: 99%

Vibration‐based damage localization with load vectors under temperature changes

Bhuyan

Gautier

Touz

et al. 2019

Struct Control Health Monit

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Wavelet-based analysis of mode shapes for statistical detection and localization of damage in beams using likelihood ratio test

Cited by 66 publications

References 37 publications

Reliability of Wavelet Analysis of Mode Shapes for the Early Detection of Damage in Beams

Reliability of Wavelet Analysis of Mode Shapes for the Early Detection of Damage in Beams

Structural system identification by measurement error‐minimizing observability method

Vibration‐based damage localization with load vectors under temperature changes

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