2021
DOI: 10.1111/mice.12772
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Damage detection of nonlinear structures using probability density ratio estimation

Abstract: This study focuses on vibration‐based damage detection for a structure that has nonlinear behavior even in the undamaged state. Based on the vibration responses of a single sensor, a non‐Gaussian multivariate probability density function (PDF) is developed and used as a feature. The change between the PDF of the undamaged state and that of a potentially damaged state is used to indicate the damage. Since what of interest is the change of the PDF, instead of estimating the two PDFs separately, the ratio of them… Show more

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Cited by 11 publications
(9 citation statements)
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References 58 publications
(97 reference statements)
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“…Prior to testing H4, this study performed the principal component analysis (PCA) to verify the existence of a gap between defect images and descriptions when a VLP model processes information. PCA is a widely used technique for analyzing, compressing, and visualizing high‐dimensional data (Amiri et al., 2012; Bishop, 2006; Nabian & Meidani, 2018; Yulong Zhang et al., 2021). PCA is the orthogonal projection of data onto a lower‐dimensional linear space, that is, the principal subspace, such that the variance of the projected data is maximized (Hotelling, 1933).…”
Section: Proposed Prompt Engineering Methodsmentioning
confidence: 99%
“…Prior to testing H4, this study performed the principal component analysis (PCA) to verify the existence of a gap between defect images and descriptions when a VLP model processes information. PCA is a widely used technique for analyzing, compressing, and visualizing high‐dimensional data (Amiri et al., 2012; Bishop, 2006; Nabian & Meidani, 2018; Yulong Zhang et al., 2021). PCA is the orthogonal projection of data onto a lower‐dimensional linear space, that is, the principal subspace, such that the variance of the projected data is maximized (Hotelling, 1933).…”
Section: Proposed Prompt Engineering Methodsmentioning
confidence: 99%
“…The method requires acceleration measurements recorded directly from the beam, and damage was simulated during testing by using a lumped mass attached at different locations. Yulong Zhang et al (2022) also carried out laboratory testing of a beam, where a lumped mass was used to simulate the effects of damage. Their approach used acceleration measurements recorded from the beam to identify damage from the nonlinear structural response.…”
Section: Traditional Bridge Monitoring Approachesmentioning
confidence: 99%
“…Damage detection methods of concrete structures have been successively proposed in recent years. For example, a damage detection method was proposed based on an initially nonlinear system (Yulong Zhang et al., 2022). Comparing the probability density function of the undamaged and potentially damaged states, the reported method detected damages by measuring the difference using the Kullback–Leibler divergence.…”
Section: Introductionmentioning
confidence: 99%