The frequency content of an earthquake ground motion is important because it affects the dynamic response of earth and structural systems. Four scalar parameters that characterize the frequency content of strong ground motions are (1) the mean period (Tm), (2) the average spectral period (Tavg), (3) the smoothed spectral predominant period (To), and (4) the predominant spectral period (Tp). Tm and Tavg distinguish the low frequency content of ground motions, while To is affected most by the high frequency content. Tp does not adequately describe the frequency content of a strong ground motion and is not recommended. Empirical relationships are developed that predict three parameters (Tm, Tavg, and To) as a function of earthquake magnitude, site-to-source distance, site conditions, and rupture directivity. The relationships are developed from a large strong-motion database that includes recorded motions from the recent earthquakes in Turkey and Taiwan. The new relationships update those previously developed by the authors and others. The results indicate that three site classes, which distinguish between rock, shallow soil, and deep soil, provide a better prediction of the frequency content parameters and smaller standard error terms than conventional “rock” and “soil” site classes. Forward directivity significantly increases the frequency content parameters, particularly Tm and To, at distances less than 20 km. Each of the frequency content parameters can be predicted with reasonable accuracy, but Tm is the preferred because it best distinguishes the frequency content of strong ground motions.
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Research Article|
February 01, 2004
Empirical Relationships for Frequency Content Parameters of Earthquake Ground Motions
Ellen M. Rathje, M.EERI;
Ellen M. Rathje, M.EERI
a,b,c
Dept. of Civil Engineering, University of Texas, Austin, TX 78712
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Fadi Faraj;
Fadi Faraj
a,b,c
Dept. of Civil Engineering, University of Texas, Austin, TX 78712
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Stephanie Russell;
Stephanie Russell
a,b,c
Dept. of Civil Engineering, University of Texas, Austin, TX 78712
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Jonathan D. Bray, M.EERI
Jonathan D. Bray, M.EERI
d)
Dept. of Civil and Environmental Engineering, University of California, Berkeley, CA 94720
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Earthquake Spectra (2004) 20 (1): 119–144.
Article history
first online:
01 Jun 2020
Citation
Ellen M. Rathje, Fadi Faraj, Stephanie Russell, Jonathan D. Bray; Empirical Relationships for Frequency Content Parameters of Earthquake Ground Motions. Earthquake Spectra 2004;; 20 (1): 119–144. doi: https://doi.org/10.1193/1.1643356
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Index Terms/Descriptors
- acceleration
- active margins
- Asia
- attenuation
- bedrock
- California
- Chi-chi earthquake 1999
- Commonwealth of Independent States
- data bases
- data processing
- depth
- dip-slip faults
- earthquakes
- elastic waves
- Europe
- Far East
- faults
- frequency
- Greece
- ground motion
- Imperial Valley earthquake 1979
- Iran
- Italy
- lithostratigraphy
- Loma Prieta earthquake 1989
- magnitude
- Middle East
- Netherlands
- numerical models
- orientation
- peak ground acceleration
- plate tectonics
- prediction
- regression analysis
- rupture
- Russian Federation
- seismic waves
- shallow-focus earthquakes
- soils
- Southern Europe
- spectra
- spectral analysis
- statistical analysis
- stiffness
- strike-slip faults
- strong motion
- Taiwan
- thickness
- Turkey
- United States
- wave amplification
- Western Europe
Latitude & Longitude
-
N35°49'60" - N42°00'00", E26°00'00" - E44°45'00" -
N22°00'00" - N25°30'00", E119°15'00" - E122°00'00" -
N37°00'00" - N83°00'00", W170°00'00" - E28°00'00" -
N50°45'00" - N53°30'00", E03°15'00" - E07°15'00" -
N36°30'00" - N47°30'00", E06°30'00" - E19°00'00" -
N25°00'00" - N39°30'00", E44°00'00" - E63°19'60" -
N34°55'00" - N41°45'00", E19°30'00" - E28°45'00" -
N32°30'00" - N42°00'00", W124°30'00" - W114°15'00"
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