RELATION BETWEEN TIME-FREQUENCY CHARACTERISTIC OF EARTHQUAKE GROUND MOTIONS AND STRUCTURAL EARTHQUAKE RESPONSES
Hui Zhang
Abstract
Hui Zhang
Abstract
The formulas of discrete S-transform are derived,and the time-varying amplitude spectrum and time varying energy spectrum based on S-transform are given.A new procedure is presented to generate an accelerograms whose elastic response spectrum is compatible with a target spectrum by using actual earthquake records as parents.The time-frequency characteristics of Northridge wave,El-centro wave,Kobe wave and an artificial wave are analyzed through numerical example.The time-frequency characteristic spectrum which reflects the centralized degree of energy of earthquake ground motion is extracted from the time varying energy spectrum.It is showed that the time-frequency characteristic spectrum is related linearly to the elastic acceleration response spectrum.Finally,the approximate transformation equation between the time-frequency characteristic spectrum and the elastic acceleration response spectrum is established.
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The formulas of discrete S-transform are derived,and the time-varying amplitude spectrum and time varying energy spectrum based on S-transform are given.A new procedure is presented to generate an accelerograms whose elastic response spectrum is compatible with a target spectrum by using actual earthquake records as parents.The time-frequency characteristics of Northridge wave,El-centro wave,Kobe wave and an artificial wave are analyzed through numerical example.The time-frequency characteristic spectrum which reflects the centralized degree of energy of earthquake ground motion is extracted from the time varying energy spectrum.It is showed that the time-frequency characteristic spectrum is related linearly to the elastic acceleration response spectrum.Finally,the approximate transformation equation between the time-frequency characteristic spectrum and the elastic acceleration response spectrum is established.
Key concepts: Response spectrum, Acceleration, Spectrum (functional analysis), Peak ground acceleration, Spectral acceleration, Energy (signal processing), Amplitude, Frequency spectrum