Hybrid Stochastic Model for Simulating Non‐Stationary Ground Motion Records.

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Title: Hybrid Stochastic Model for Simulating Non‐Stationary Ground Motion Records.
Authors: Djouabi, Hamza1,2 (AUTHOR) hamza.djouabi@univ-djelfa.dz, Benahmed, Baizid1 (AUTHOR), Palanci, Mehmet3 (AUTHOR)
Source: Earthquake Engineering & Structural Dynamics. Sep2025, Vol. 54 Issue 11, p2965-2980. 16p.
Subjects: Ground motion, Accelerograms, Additive white Gaussian noise, Earthquake intensity, Frequency response, Monte Carlo method, Hybrid computer simulation, Frequency-domain analysis
Abstract: This study presents an improved hybrid (empirical‐stochastic) model for simulating non‐stationary accelerograms based on filtered Gaussian white noise. A linear filter for the frequency domain and a modulating time function are used to generate a stochastic accelerogram based on target parameters. Arias intensity, strong‐motion duration, and the lag time between S waves and P waves are used for the modulating function calibration. Universal empirical equations linking the time domain strong motion parameters and that of the modulating function are developed based on mathematical properties (inflection points) of the modulating function. The cumulative energy of the resultant modulation functions is assessed and compared to the cumulative energy of the target accelerogram. The central frequency and frequency bandwidth, determined from the physical spectrum of the target, are utilized for identifying the parameters of the linear filter. Empirical equations governing the frequency and damping ratio of the linear filter are proposed based on the specified spectral parameters. Stochastic accelerograms are simulated using proposed equations, resulting in notable improvements in the regeneration of target frequency characteristics, response spectra, and cumulative energy, as evidenced by comparisons to target records. [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: Hybrid Stochastic Model for Simulating Non‐Stationary Ground Motion Records.
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  Data: <searchLink fieldCode="AR" term="%22Djouabi%2C+Hamza%22">Djouabi, Hamza</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> hamza.djouabi@univ-djelfa.dz</i><br /><searchLink fieldCode="AR" term="%22Benahmed%2C+Baizid%22">Benahmed, Baizid</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Palanci%2C+Mehmet%22">Palanci, Mehmet</searchLink><relatesTo>3</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Earthquake+Engineering+%26+Structural+Dynamics%22">Earthquake Engineering & Structural Dynamics</searchLink>. Sep2025, Vol. 54 Issue 11, p2965-2980. 16p.
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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="%22Additive+white+Gaussian+noise%22">Additive white Gaussian noise</searchLink><br /><searchLink fieldCode="DE" term="%22Earthquake+intensity%22">Earthquake intensity</searchLink><br /><searchLink fieldCode="DE" term="%22Frequency+response%22">Frequency response</searchLink><br /><searchLink fieldCode="DE" term="%22Monte+Carlo+method%22">Monte Carlo method</searchLink><br /><searchLink fieldCode="DE" term="%22Hybrid+computer+simulation%22">Hybrid computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Frequency-domain+analysis%22">Frequency-domain analysis</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: This study presents an improved hybrid (empirical‐stochastic) model for simulating non‐stationary accelerograms based on filtered Gaussian white noise. A linear filter for the frequency domain and a modulating time function are used to generate a stochastic accelerogram based on target parameters. Arias intensity, strong‐motion duration, and the lag time between S waves and P waves are used for the modulating function calibration. Universal empirical equations linking the time domain strong motion parameters and that of the modulating function are developed based on mathematical properties (inflection points) of the modulating function. The cumulative energy of the resultant modulation functions is assessed and compared to the cumulative energy of the target accelerogram. The central frequency and frequency bandwidth, determined from the physical spectrum of the target, are utilized for identifying the parameters of the linear filter. Empirical equations governing the frequency and damping ratio of the linear filter are proposed based on the specified spectral parameters. Stochastic accelerograms are simulated using proposed equations, resulting in notable improvements in the regeneration of target frequency characteristics, response spectra, and cumulative energy, as evidenced by comparisons to target records. [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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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1002/eqe.70011
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 16
        StartPage: 2965
    Subjects:
      – SubjectFull: Ground motion
        Type: general
      – SubjectFull: Accelerograms
        Type: general
      – SubjectFull: Additive white Gaussian noise
        Type: general
      – SubjectFull: Earthquake intensity
        Type: general
      – SubjectFull: Frequency response
        Type: general
      – SubjectFull: Monte Carlo method
        Type: general
      – SubjectFull: Hybrid computer simulation
        Type: general
      – SubjectFull: Frequency-domain analysis
        Type: general
    Titles:
      – TitleFull: Hybrid Stochastic Model for Simulating Non‐Stationary Ground Motion Records.
        Type: main
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          Name:
            NameFull: Djouabi, Hamza
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          Name:
            NameFull: Benahmed, Baizid
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          Name:
            NameFull: Palanci, Mehmet
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          Dates:
            – D: 01
              M: 09
              Text: Sep2025
              Type: published
              Y: 2025
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              Value: 54
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              Value: 11
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            – TitleFull: Earthquake Engineering & Structural Dynamics
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