Exploitation of the Reverberant Propagation of Elastic Waves in Structures: Towards a Concept of Low-resource SHM Sensor Network

Moulin, Emmanuel; Benmeddour, Farouk; Achdjian, Hossep; Chehami, Lynda; Assaad, Jamal; Rosny, Julien de; Prada, Claire

doi:10.1016/j.phpro.2015.08.038

Cited by 2 publications

(3 citation statements)

References 7 publications

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“…Equation (4.5) is directly related to the ratio of the noise level (L), which is a measure of the quality of the reconstructed Green's function from a finite number N of sources compared to the one obtained over an infinite number of sources introduced in [30]. This can be expressed in terms of C ∞ (t) and δC N (t)…”

Section: Symmetry Of the Cross-correlation Of The Observed Datamentioning

confidence: 99%

Coda reconstruction from cross-correlation of a diffuse field on thin elastic plates

et al. 2017

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This study contributes to the evaluation of the robustness and accuracy of Green's function reconstruction from cross-correlation of strongly dispersed reverberated signals, with disentangling of the respective roles of ballistic and reverberated ('coda') contributions. We conduct a suite of experiments on a highly reverberating thin duralumin plate, where an approximately diffuse flexural wavefield is generated by taking advantage of the plate reverberation and wave dispersion. A large number of impulsive sources that cover the whole surface of the plate are used to validate ambient-noise theory through comparison of the causal and anticausal (i.e., positive-and negativetime) terms of the cross-correlation to one another, and to the directly measured Green's function. To quantify the contribution of the ballistic and coda signals, the cross-correlation integral is defined over different time windows of variable length, and the accuracy of the reconstructed Green's function is studied as a function of the initial and end times of the integral. We show that even cross-correlations measured over limited time windows converge to a significant part of the Green's function. Convergence is achieved over a wide time window, which includes not only direct flexuralwave arrivals, but also the multiply reverberated coda. We propose a model, based on normal-mode analysis that relates the similarity between the cross-correlation and the Green's function to the statistical properties of the plate. We also determine quantitatively how incoherent noise degrades the estimation of the Green's function.

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Section: Symmetry Of the Cross-correlation Of The Observed Datamentioning

confidence: 99%

Coda reconstruction from cross-correlation of a diffuse field on thin elastic plates

et al. 2017

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show abstract

“…where C − ∞ (t) is the antisymmetric component of C ∞ (t). Equation (4.5) is directly related to the ratio of the noise level (L), which is a measure of the quality of the reconstructed Green's function from a finite number N of sources compared to the one obtained over an infinite number of sources introduced in [30]. This can be expressed in terms of C ∞ (t) and δC N (t)…”

Section: Symmetry Of the Cross-correlation Of The Observed Datamentioning

confidence: 99%

“…t)dt is the relative degree of asymmetry of the cross-correlation function when N → ∞. For a rectangular plate, L is given by [30]…”

Section: Symmetry Of the Cross-correlation Of The Observed Datamentioning

confidence: 99%

Coda reconstruction from cross-correlation of a diffuse field on thin elastic plates

Nooghabi,

Boschi,

Roux

et al. 2017

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Exploitation of the Reverberant Propagation of Elastic Waves in Structures: Towards a Concept of Low-resource SHM Sensor Network

Cited by 2 publications

References 7 publications

Coda reconstruction from cross-correlation of a diffuse field on thin elastic plates

Coda reconstruction from cross-correlation of a diffuse field on thin elastic plates

Coda reconstruction from cross-correlation of a diffuse field on thin elastic plates

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