Approches paramétrique et non paramétrique pour la modélisation probabiliste des matrices d'impédance

Régis Cottereau (1) , Didier Clouteau (1) , Christian Soize (2)

1 MSSMat - Laboratoire de mécanique des sols, structures et matériaux
2 LaM - Laboratoire de Mécanique

Two approaches are presented for the probabilistic modeling of the impedance matrix of a rigid cylindrical embedded foundation in a layer of soil over a rigid bedrock: one parametric and the other nonparametric. The comparison of these two approaches seems to indicate that the parametric one is limited, in the case of unbounded domains, by the necessary boundedness of the heterogeneous zone. We also present an identification method for the dispersion parameters of the nonparametric approach.

Domaines: Vibrations [physics.class-ph]; Vibrations [physics.class-ph]; Probabilités [math.PR]

Régis Cottereau, Didier Clouteau, Christian Soize. Approches paramétrique et non paramétrique pour la modélisation probabiliste des matrices d'impédance. 8ème Colloque National en Calcul des Structures, CSMA, May 2007, Giens (Var), France. pp.Pages : 1-6. ⟨hal-00773358⟩