Wavelet‐Based Stochastic Model for the Generation of Fully Nonstationary Bidirectional Seismic Accelerograms.

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Title: Wavelet‐Based Stochastic Model for the Generation of Fully Nonstationary Bidirectional Seismic Accelerograms.
Authors: Yanni, Hera1 (AUTHOR), Fragiadakis, Michalis1 (AUTHOR) mfrag@mail.ntua.gr, Mitseas, Ioannis P.1,2 (AUTHOR)
Source: Earthquake Engineering & Structural Dynamics. 4/25/2025, Vol. 54 Issue 5, p1397-1416. 20p.
Subjects: Ground motion, Accelerograms, Wavelet transforms, Stochastic models, Signal processing
Abstract: A new stochastic methodology is proposed for the generation of bidirectional horizontal components of artificial, fully nonstationary, site‐ and spectrum‐compatible seismic accelerograms through a nonseparable process. The model operates in the time‐frequency domain and combines spectral representation techniques with signal processing tools. The basis of the methodology involves the generation of spectrum‐compatible stationary artificial accelerogram signals whose nonstationarity is then modeled with a time‐frequency modulating function that is based on a seed ground motion record. At the core of the proposed methodology lies the use of the Continuous Wavelet Transform (CWT). Specifically, the CWT method is used to perform time‐frequency analysis and to define the nonstationary component. The proposed methodology provides any required number of seismic accelerograms whose temporal and spectral modulation is consistent with the characteristics of the site of interest. Furthermore, the model is extended to the case of pairs of bidirectional horizontal components. This is accomplished by probabilistically generating two orthogonal spectra whose geometric mean spectrum is compatible with a target spectrum. This procedure also takes into account the correlation structure of spectral acceleration pairs in orthogonal directions at different periods based on empirical models. The bidirectional components are then generated with the proposed site and spectrum‐based methodology. An online tool that implements the proposed methodology is freely provided. [ABSTRACT FROM AUTHOR]
Copyright of Earthquake Engineering & Structural Dynamics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Wavelet‐Based Stochastic Model for the Generation of Fully Nonstationary Bidirectional Seismic Accelerograms.
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  Data: <searchLink fieldCode="AR" term="%22Yanni%2C+Hera%22">Yanni, Hera</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Fragiadakis%2C+Michalis%22">Fragiadakis, Michalis</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> mfrag@mail.ntua.gr</i><br /><searchLink fieldCode="AR" term="%22Mitseas%2C+Ioannis+P%2E%22">Mitseas, Ioannis P.</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Earthquake+Engineering+%26+Structural+Dynamics%22">Earthquake Engineering & Structural Dynamics</searchLink>. 4/25/2025, Vol. 54 Issue 5, p1397-1416. 20p.
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  Data: <searchLink fieldCode="DE" term="%22Ground+motion%22">Ground motion</searchLink><br /><searchLink fieldCode="DE" term="%22Accelerograms%22">Accelerograms</searchLink><br /><searchLink fieldCode="DE" term="%22Wavelet+transforms%22">Wavelet transforms</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+models%22">Stochastic models</searchLink><br /><searchLink fieldCode="DE" term="%22Signal+processing%22">Signal processing</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: A new stochastic methodology is proposed for the generation of bidirectional horizontal components of artificial, fully nonstationary, site‐ and spectrum‐compatible seismic accelerograms through a nonseparable process. The model operates in the time‐frequency domain and combines spectral representation techniques with signal processing tools. The basis of the methodology involves the generation of spectrum‐compatible stationary artificial accelerogram signals whose nonstationarity is then modeled with a time‐frequency modulating function that is based on a seed ground motion record. At the core of the proposed methodology lies the use of the Continuous Wavelet Transform (CWT). Specifically, the CWT method is used to perform time‐frequency analysis and to define the nonstationary component. The proposed methodology provides any required number of seismic accelerograms whose temporal and spectral modulation is consistent with the characteristics of the site of interest. Furthermore, the model is extended to the case of pairs of bidirectional horizontal components. This is accomplished by probabilistically generating two orthogonal spectra whose geometric mean spectrum is compatible with a target spectrum. This procedure also takes into account the correlation structure of spectral acceleration pairs in orthogonal directions at different periods based on empirical models. The bidirectional components are then generated with the proposed site and spectrum‐based methodology. An online tool that implements the proposed methodology is freely provided. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Earthquake Engineering & Structural Dynamics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1002/eqe.4315
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 20
        StartPage: 1397
    Subjects:
      – SubjectFull: Ground motion
        Type: general
      – SubjectFull: Accelerograms
        Type: general
      – SubjectFull: Wavelet transforms
        Type: general
      – SubjectFull: Stochastic models
        Type: general
      – SubjectFull: Signal processing
        Type: general
    Titles:
      – TitleFull: Wavelet‐Based Stochastic Model for the Generation of Fully Nonstationary Bidirectional Seismic Accelerograms.
        Type: main
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            NameFull: Yanni, Hera
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            NameFull: Fragiadakis, Michalis
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            NameFull: Mitseas, Ioannis P.
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            – D: 25
              M: 04
              Text: 4/25/2025
              Type: published
              Y: 2025
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              Value: 54
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            – TitleFull: Earthquake Engineering & Structural Dynamics
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