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Generation of accelerograms compatible with response spectrum using the information theory

Abstract : The research addressed here concerns the generation of seismic accelerograms compatible with a given response spectrum and other associated properties. The time sampling of the stochastic accelerogram yields a time series represented by a random vector in high dimension. The probability density function (pdf) of this random vector is constructed using the Maximum Entropy (MaxEnt) principle under constraints defined by the available information. In this paper, a new algorithm, adapted to the high stochastic dimension, is proposed to identify the Lagrange multipliers introduced in the MaxEnt principle to take into account the constraints. This novel algorithm is based on (1) the minimization of an appropriate convex functional and (2) the construction of the probability distribution defined as the invariant measure of an Itô Stochastic Differential Equation in order to estimate the integrals in high dimension of the problem.
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Contributor : Christian Soize <>
Submitted on : Saturday, March 30, 2013 - 6:45:08 PM
Last modification on : Thursday, March 19, 2020 - 11:52:02 AM
Long-term archiving on: : Sunday, April 2, 2017 - 10:52:01 PM

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Anas Batou, Christian Soize. Generation of accelerograms compatible with response spectrum using the information theory. APVC 2013, 15th Asia Pacific Vibration Conference, Jun 2013, Jeju Island, South Korea. pp.1-5. ⟨hal-00806398⟩

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