Stochastic models of uncertainties in computational structural dynamics and structural acoustics

Christian Soize (1)

1 MSME - Laboratoire de Modélisation et Simulation Multi Echelle

We present an overview concerning the main concepts, formulations and advances for the stochastic modeling of uncertainties in computational structural dynamics and structural acoustics. The parametric probabilistic approach, the nonparametric probabilistic approach and the generalized probabilistic approach of uncertainties are presented in the context of structural dynamics and in structural acoustics and vibration, including not only the construction of prior probability models but also the identification of posterior probability models.

Mots clés: uncertainty quantification; computational mechanics; uncertainties; stochastic model; nonparametric uncertainty; parametric uncertainty

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

Christian Soize. Stochastic models of uncertainties in computational structural dynamics and structural acoustics. I. Elishakoff and C. Soize. Nondeterministic Mechanics, Springer Wien, pp.Pages: 61-113, 2012, CISM Courses and Lectures (Udine), International Centre for Mechanical Sciences, vol. 539. ⟨hal-00749200⟩