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Computational Methods in Stochastic Dynamics pp 229–246Cite as

A Seismologically Consistent Husid Envelope Function for the Stochastic Simulation of Earthquake Ground-Motions

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Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 22))

Abstract

Earthquake-induced ground-motion may be realistically described as random processes that are intrinsically non-stationary in both amplitude and frequency content. In order to take into account the finite duration and the amplitude non-stationarity of earthquake-induced ground-motions, it is common practice to modulate a stationary stochastic process with a shaping window, or envelope function, in order to obtain a transient signal. Different shapes have been proposed in literature for such windows but the main problem until now has been how to correlate the parameters of the shaping window to the characteristics of some seismic design scenario (such as magnitude, distance, and site conditions). In this work, an envelope function is proposed that makes use of parameters that are commonly available in seismic design situations involving a scenario-type analysis. Such a scenario may be deterministically prescribed, or may be the result of a probabilistic seismic hazard analysis. The envelope function is also directly related to the Arias intensity of the ground motion and has a functional form closely related to that of a lognormal probability density function. The envelope function may be used, in conjunction with suitable peak factors, to predict the distribution of peak ground acceleration values corresponding to a given earthquake scenario.

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Authors and Affiliations

  1. Engineering Faculty, International Telematic University UNINETTUNO, c/o Corso Vittorio Emanuele II, 39, 00186, Rome, Italy

    Sara Sgobba

  2. Department of Civil and Environmental Engineering, Imperial College London, South Kensington Campus, London, SW7 2AZ, UK

    Peter J. Stafford

  3. Department of Environmental Engineering and Sustainable Development, Technical University of Bari, Via de Gasperi s.n., 74120, Taranto, Italy

    Giuseppe C. Marano

Authors
  1. Sara Sgobba
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  2. Peter J. Stafford
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  3. Giuseppe C. Marano
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Corresponding author

Correspondence to Sara Sgobba .

Editor information

Editors and Affiliations

  1. Inst. Structural Analysis &, Seismic Research, National Technical Univ. Athen, Iroon Polytechniou Str. 9, Athens, 157 80, Greece

    Manolis Papadrakakis

  2. , Intitute of Structural Analysis and Seis, National Technical University of Athens, Iroon Polytechniou, Zografou Campus 9, Athens, 15780, Greece

    George Stefanou

  3. , Institute of Structural Analysis and Se, National Technical University of Athens, Iroon Polytechniou, Zografou Campus 9, Athens, 15780, Greece

    Vissarion Papadopoulos

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Sgobba, S., Stafford, P.J., Marano, G.C. (2011). A Seismologically Consistent Husid Envelope Function for the Stochastic Simulation of Earthquake Ground-Motions. In: Papadrakakis, M., Stefanou, G., Papadopoulos, V. (eds) Computational Methods in Stochastic Dynamics. Computational Methods in Applied Sciences, vol 22. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9987-7_12

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  • DOI: https://doi.org/10.1007/978-90-481-9987-7_12

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-9986-0

  • Online ISBN: 978-90-481-9987-7

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