Computational stochastic statics of an uncertain curved structure with geometrical nonlinearity in three-dimensional elasticity

E. Capiez-Lernout, C. Soize, Marc Mignolet

Research output: Contribution to journalArticle

38 Scopus citations

Abstract

A methodology for analyzing the large static deformations of geometrically nonlinear structural systems in the presence of both system parameters uncertainties and model uncertainties is presented. It is carried out in the context of the identification of stochastic nonlinear reduced-order computational models using simulated experiments. This methodology requires the knowledge of a reference calculation issued from the mean nonlinear computational model in order to determine the POD basis (Proper Orthogonal Decomposition) used for the mean nonlinear reduced-order computational model. The construction of such mean reduced-order nonlinear computational model is explicitly carried out in the context of three-dimensional solid finite elements. It allows the stochastic nonlinear reduced-order computational model to be constructed in any general case with the nonparametric probabilistic approach. A numerical example is then presented for a curved beam in which the various steps are presented in details.

Original languageEnglish (US)
Pages (from-to)87-97
Number of pages11
JournalComputational Mechanics
Volume49
Issue number1
DOIs
StatePublished - Jan 2012

Keywords

  • Finite element
  • Large deformation
  • Numerical methods
  • Post-buckling
  • Stochastic

ASJC Scopus subject areas

  • Computational Mechanics
  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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