2021
DOI: 10.1016/j.ymssp.2020.107136
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Modal assurance distribution of multivariate signals for modal identification of time-varying dynamic systems

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Cited by 27 publications
(26 citation statements)
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“…The MAD is thus a map in the time‐frequency plane that indicates the “similarity” of neighboring ODSs obtained by applying the WPT to the channels of a multivariate signal consisting of structural responses. In the original formulation, 25 the MAD is obtained for long‐term applications to linear time‐varying structures. In this paper, the concept behind this technique is exploited to obtain a novel formulation of the MAD applicable to the response of nonlinear systems even for short‐term applications, such as the analysis of the structural behavior during earthquakes.…”
Section: Modal Assurance Distributionmentioning
confidence: 99%
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“…The MAD is thus a map in the time‐frequency plane that indicates the “similarity” of neighboring ODSs obtained by applying the WPT to the channels of a multivariate signal consisting of structural responses. In the original formulation, 25 the MAD is obtained for long‐term applications to linear time‐varying structures. In this paper, the concept behind this technique is exploited to obtain a novel formulation of the MAD applicable to the response of nonlinear systems even for short‐term applications, such as the analysis of the structural behavior during earthquakes.…”
Section: Modal Assurance Distributionmentioning
confidence: 99%
“…The instantaneous identification of resonant components in this situation enables the extraction of a time‐domain description of NNMs during the structural nonlinear excursion, which may provide valuable information for the evaluation of the structural integrity in the aftermath of a seismic event. However, due to the significant differences that exist between the long‐term linear case 25 and the short‐term nonlinear situation addressed in this study, a novel identification algorithm is proposed hereinafter.…”
Section: Modal Assurance Distributionmentioning
confidence: 99%
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“…The time-frequency methods for non-stationary signal analysis studied in the literature include Wigner-Ville distribution (WVD), short-time Fourier transform (STFT), wavelet transform (WT), and Hilbert transform methods. [7][8][9][10][11][12][13][14] One of the widely used time-frequency analysis techniques is the Hilbert transform-based method. For instance, Hilbert-Huang transform (HHT) has been applied for non-stationary signal analysis in many engineering fields.…”
Section: Introductionmentioning
confidence: 99%