Effects of structural uncertainties on the nonlinear elastic behavior of a curved beam. Stochastic computational modeling and comparison with experiments

Evangéline Capiez-Lernout (1) , Christian Soize (1) , M. P. Mignolet (2)

1 MSME - Laboratoire de Modélisation et Simulation Multi Echelle
2 Fac Mech & Aerosp Engn

A methodology for analyzing the response of geometrically nonlinear structural systems in presence of both system parameters uncertainties and model uncertainties is presented in the context of the robust identification of uncertain nonlinear computational models using experiments. This methodology requires the knowledge of a reference calculation issued from the mean model in order to obtain the POD-basis used for the construction of the mean reduced nonlinear computational model. This explicit construction is carried out in the context of three-dimensional solid finite elements. This allows the uncertain nonlinear computational model to be constructed in any general case with the nonparametric probabilistic approach. A numerical example is then carried out in order to show the efficiency of the method.

Mots clés: uncertainty quantification; nonlinear elastic post-buckling; cylindrical shell; modeling errors; model uncertainties; random uncertainties; random matrix

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

Evangéline Capiez-Lernout, Christian Soize, M. P. Mignolet. Effects of structural uncertainties on the nonlinear elastic behavior of a curved beam. Stochastic computational modeling and comparison with experiments. 8th International Conference on Structural Dynamics, EURODYN 2011, KU Leuven, Jul 2011, Leuven, Belgium. pp.ISBN 978-90-760-1931-4, Pages: 2682-2689. ⟨hal-00693013⟩