2015
DOI: 10.1002/stc.1743
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Damage detection in structures using a transmissibility-based Mahalanobis distance

Abstract: Summary In this paper, a damage‐detection approach using the Mahalanobis distance with structural forced dynamic response data, in the form of transmissibility, is proposed. Transmissibility, as a damage‐sensitive feature, varies in accordance with the damage level. Besides, Mahalanobis distance can distinguish the damaged structural state condition from the undamaged one by condensing the baseline data. For comparison reasons, the Mahalanobis distance results using transmissibility are compared with those usi… Show more

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Cited by 48 publications
(30 citation statements)
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“…An essential stage of damage detection is outlier detection, which relies on distance measurements. Recently, specifically for SHM, various approaches have been adopted for the distance measurement during damage detection and quantification [39]. The present study uses symbolic datasets, as these are less voluminous, less specific, compact, and more …”
Section: Study Modelsmentioning
confidence: 99%
“…An essential stage of damage detection is outlier detection, which relies on distance measurements. Recently, specifically for SHM, various approaches have been adopted for the distance measurement during damage detection and quantification [39]. The present study uses symbolic datasets, as these are less voluminous, less specific, compact, and more …”
Section: Study Modelsmentioning
confidence: 99%
“…The fast computational algorithm "Square Robust Distance" was used for multivariate outlier detection, as defined by Equation 8, where RD is a matrix that diagonally contains the robust Mahalanobis distance of each multivariate instance x i (i = 1, … , n), x is a matrix of n rows (instances) and p columns (variables), x is a matrix of n row with p columns with mean x j ( j = 1, … , p) from the group of instances (every row contains the same information; the column mean of all instances), and Σ −1 is the inverse covariance matrix. [60][61][62] Obtaining a chi-critical value of 11.1433 for a 97.5% quantile chi-squared distribution. [63] Detecting 136 outlier's instances FIGURE 4 General operation flow through an optical table at laboratory environment FIGURE 5 Optical scanning system measurements database from 6,020 instances, presenting the 2.56% of instances from the original OSS measurement database.…”
Section: Experimental Measurementsmentioning
confidence: 99%
“…More recently, FRFs and transmissibilities were linked to the approach based on Mahalanobis squared distance (MSD) to determine the structural condition of a monitored beam via different types of DIs [22]. Similar to a first proposal [23], the MSD algorithm presents problems, namely numerical errors to compute a large covariance matrix, when all spectral lines of the damage-sensitive features are considered.…”
Section: Introductionmentioning
confidence: 99%