Transient elastic waves in fluid-structure multilayer systems with a probabilistic model of structural uncertainties

Christophe Desceliers (1) , Christian Soize (1) , Q. Grimal (2) , Guillaume Haiat (3) , Salah Naili (3)

1 LaM - Laboratoire de Mécanique
2 LIP - Laboratoire d'Imagerie Paramétrique
3 LMP - Laboratoire de mécanique physique

This paper deals with the development of a computational model to predict transient elastic waves in fluid-structure multilayer systems for which the elasticity constants of the structure are uncertain. The fluid-structure system is a three layers system make up of an elastic solid layer sandwiched between two acoustic fluid layers and excited by an acoustic line source located in one of the two acoustic fluid layers. The mean model of the elastic solid layer is represented by a transverse isotropic material. The elasticity tensor of the solid layer is modeled by a random tensor for which the probabilistic model is constructed using the information theory. A Monte Carlo stochastic numerical solver is used in order to solve the stochastic boundary value problem. A numerical application is presented.

Mots clés: uncertainty quantification; elastic waves; transient; fluid-structure; multilayer systems; nonparametric probabilistic method; modeling errors; model unceratinties; random matrix; random uncertainties

Domaines: Acoustique [physics.class-ph]; Acoustique [physics.class-ph]; Vibrations [physics.class-ph]; Vibrations [physics.class-ph]; Statistiques [math.ST]; Théorie [stat.TH]; Probabilités [math.PR]

Christophe Desceliers, Christian Soize, Q. Grimal, Guillaume Haiat, Salah Naili. Transient elastic waves in fluid-structure multilayer systems with a probabilistic model of structural uncertainties. 1st International Conference on Uncertainty in Structural Dynamics, 2007, University of Sheffield, Jun 2007, Sheffield, United Kingdom. pp.Pages: 1-9. ⟨hal-00689715⟩