1994
DOI: 10.1002/eqe.4290231007
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Prediction of earthquake energy input from smoothed fourier amplitude spectrum

Abstract: This paper attempts to show analytically that the energy-input spectra of damped SDOF systems and undamped MDOF systems excited by an earthquake motion can be predicted by smoothing the Fourier amplitude spectrum of the base acceleration. The spectral window for smoothing in the frequency domain for a damped SDOF system is identical with the probability density function of the time-variant or instantaneous vibration frequency resulting from non-linear hysteresis. The spectral window for an undamped MDOF system… Show more

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Cited by 79 publications
(21 citation statements)
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“…The corner period (T c ) is determined either Fourier spectrum or undamped velocity spectrum of the record. 9 The beginning period of the plateau is calculated as T c /1.2 to consider that plastic deformations increase natural period and rise the energy imparted into nonlinear system. 5 The descending branch (partition 3) is formed by the term…”
Section: Suggestion Of a New Input Energy Spectrummentioning
confidence: 99%
“…The corner period (T c ) is determined either Fourier spectrum or undamped velocity spectrum of the record. 9 The beginning period of the plateau is calculated as T c /1.2 to consider that plastic deformations increase natural period and rise the energy imparted into nonlinear system. 5 The descending branch (partition 3) is formed by the term…”
Section: Suggestion Of a New Input Energy Spectrummentioning
confidence: 99%
“…It can be seen that, as the damping becomes larger, the energy spectrum becomes smoother. This phenomenon is related to the so-called 'smoothing of Fourier amplitude spectrum' (approximately equivalent to zero-damping velocity response spectrum) [34]. Fig.19 shows the time variation of input energy from the ground motion recorded at K-NET Shinjuku station (TKY007, NS) for various damping ratios.…”
Section: Representation Of Uncertainty Of Long-period Ground Motion Bmentioning
confidence: 99%
“…Input energy can be defined either in absolute or relative terms [10] where both energy terms yield almost similar results in the period range of practical interest. Input energy equivalent velocity (V eq ) spectra of damped elastic SDOF systems can also be predicted quite accurately by using smoothed Fourier amplitude spectrum of the input acceleration record [11,12].Input energy design spectra can be estimated from the basic strong motion intensity and hazard parameters, which inherently depend on the source and site characteristics. Peak ground acceleration (PGA), peak ground velocity (PGV), PGV to PGA ratio (V/A ratio), effective duration, predominant period of ground motions, distance to fault, fault type, local soil condition, and earthquake magnitude were identified as the distinctive parameters for determining the input energy spectra of earthquake ground motions in the past [5][6][7][8][9][10].…”
mentioning
confidence: 99%