Generation of accelerograms compatible with design specifications using information theory



Batou, Anas and Soize, Christian
(2014) Generation of accelerograms compatible with design specifications using information theory. BULLETIN OF EARTHQUAKE ENGINEERING, 12 (2). pp. 769-794.

[thumbnail of manuscript_r2.pdf] Text
manuscript_r2.pdf - Submitted version

Download (499kB)

Abstract

This paper deals with the generation of seismic accelerograms which are compatible with a given response spectrum and other design specifications. The time sampling of the stochastic accelerogram yields a time series represented by a random vector in high dimension. The probability density function of this random vector is constructed using the maximum entropy (MaxEnt) principle under constraints defined by the available information (design specifications). In this paper, an adapted algorithm is proposed to identify the Lagrange multipliers introduced in the MaxEnt principle to take into account the constraints. This 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. The constraints related to a seismic accelerogram are developed explicitly. This methodology is validated through an application for which the available information is related to the variance of each component of the random vector representing the accelerogram, statistics on the response spectrum, on the peak ground acceleration, on the cumulative absolute velocity and on the end-values for the velocity and for the displacement. © 2013 Springer Science+Business Media Dordrecht.

Item Type: Article
Uncontrolled Keywords: Accelerogram, Generation of accelerograms, Response spectrum, Eurocode, PGA, Information theory, Maximum entropy principle
Depositing User: Symplectic Admin
Date Deposited: 13 Mar 2017 07:40
Last Modified: 19 Jan 2023 07:14
DOI: 10.1007/s10518-013-9547-z
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3006339