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Quantification of the amplitude variability of the ground motion in Argostoli, Greece. Variability of linear and non-linear structural response of a single degree of freedom system.

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Abstract

The term “spatial variability of seismic ground motions” denotes the differences in the amplitude and phase content of seismic motions. The effect of such spatial variability on the structural response is still an open issue. In-situ experiments may be helpful in order to answer the questions regarding both the quantification of the spatial variability of the ground motion within the dimensions of a structure as well as the effect on its dynamic response. The goal of the present study is to quantify the variability of the seismic ground motion accelerations in the shallow sedimentary basin of Argostoli, Greece, and thereafter to identify its effect on the linear and non-linear elasto-plastic response of a single degree of freedom system in terms of spectral displacements. Around 400 earthquakes are used, recorded by the 21-element very dense seismological array deployed in Argostoli with inter-station spacing ranging from 5 to 160 meters. The seismic motion variability, evaluated in terms of spectral accelerations, is found to be significant and to increase with inter-station distance and frequency. Thereafter, the amplitude variability in terms of spectral displacements, which is indeed the linear response of a single degree of freedom (SDOF) system with various fundamental periods, is compared with the amplitude variability of a SDOF with non-linear elasto-plastic response. The variability of the maximum top displacement of the linear single degree of freedom system is estimated to be on average 12% with larger variabilities to be observed within two narrow frequency ranges (between 1.5 and 1.7 Hz and between 3 and 4 Hz). Such high variabilities are caused by locally edge-generated diffracted surface waves. The non-linear perfectly elasto-platic structural response of the SDOF system shows that although the variability has the same trends as in the case of linear response, it is almost constantly increased by 5%.

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Abbreviations

Mw :

Moment Magnitude

Rhypo :

Hypocentral Distance

Vs30 :

Average Shear Wave Velocity in the top 30 m of soil

m:

Mass

c:

Damping

k:

Stiffness

P(u):

Resistant Force

PGA:

Maximum Spectral Acceleration

Sa :

Spectral Acceleration

w0 :

Angular Frequency

dy :

Yielding Displacement

δ n,i :

The residual for each seismic event n and each station i

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Acknowledgements

We would like to thank the European project NERA who provided the data used in this study, acquired by the mobile seismological National Park INSU/CNRS. In addition, it should be noted that the presented calculations were made on the platform\ ATLAS (ATool and Language for Simplified Structural Solution Strategy) developed in MATLAB in the laboratory 3SR.

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Authors and Affiliations

  1. University Grenoble Alpes, CNRS, ISTERRE, 38000, Grenoble, France

    E. Koufoudi

  2. University Grenoble Alpes, CNRS, IRD, ISTERRE, 38000, Grenoble, France

    C. Cornou

  3. University Lyon, INSA-Lyon, GEOMAS, 69621, Villeurbanne Cedex, France

    S. Grange

  4. University Grenoble Alpes, CNRS, 3SR, 38000, Grenoble, France

    F. Dufour

  5. Grenoble INP, 38000, Grenoble, France

    F. Dufour

  6. Bureau de Recherches Géologiques et Minières (BRGM), Risks and Prevention Division/Seismic and Volcanic Risks Unit (DRP/RSV), 45060, Orléans, France

    A. Imtiaz

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  1. E. Koufoudi
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Correspondence to E. Koufoudi.

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Koufoudi, E., Cornou, C., Grange, S. et al. Quantification of the amplitude variability of the ground motion in Argostoli, Greece. Variability of linear and non-linear structural response of a single degree of freedom system.. Bull Earthquake Eng 16, 3675–3685 (2018). https://doi.org/10.1007/s10518-018-0313-0

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  • DOI: https://doi.org/10.1007/s10518-018-0313-0

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