Generation of accelerograms compatible with design specifications using information theory

Anas Batou (1) , Christian Soize (1)

1 MSME - Laboratoire de Modélisation et Simulation Multi Echelle

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). 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 Itˆo Stochastic Differential Equation in order to estimate the integrals in high dimension of the problem. The constraints related to a seismic ccelerogram are developed explicitly.

Mots clés: Accelerogram; generation of accelerograms; response spectrum; Eurocode; PGA; information theory; maximum entropy principle; uncertainty quantification; uncertainty; stochastic process

Domaines: Mécanique [physics.med-ph]; Probabilités [math.PR]; Statistiques [math.ST]; Théorie [stat.TH]

Anas Batou, Christian Soize. Generation of accelerograms compatible with design specifications using information theory. Bulletin of Earthquake Engineering, 2014, 12 (2), pp.769-794. ⟨10.1007/s10518-013-9547-z⟩. ⟨hal-00903236⟩