Post-buckling nonlinear static and dynamical analyses of uncertain cylindrical shells and experimental validation

Evangéline Capiez-Lernout; Christian Soize; Marc Mignolet

doi:10.1016/j.cma.2013.12.011

Post-buckling nonlinear static and dynamical analyses of uncertain cylindrical shells and experimental validation

Evangéline Capiez-Lernout ^{1, *} Christian Soize ¹ Marc Mignolet ²

* Corresponding author

1 MSME - Laboratoire de Modélisation et Simulation Multi Echelle

2 Fac Mech & Aerosp Engn

Abstract : The paper presents a complete experimental validation of an advanced computational methodology adapted to the nonlinear post-buckling analysis of geometrically nonlinear structures in presence of uncertainty. A mean nonlinear reduced-order computational model is first obtained using an adapted projection basis. The stochastic nonlinear computational model is then constructed as a function of a scalar dispersion parameter, which has to be identified with respect to the nonlinear static experimental response of a very thin cylindrical shell submitted to a static shear load. The identified stochastic computational model is finally used for predicting the nonlinear dynamical post-buckling behavior of the structure submitted to a stochastic ground motion.

Keywords : non-stationary stochastic excitation. non-stationary stochastic excitation modeling errors uncertainty quantification geometrical nonlinearities: experimental identification nonlinear elastodynamic post-buckling

Document type :

Journal articles

Domain :

Engineering Sciences [physics] / Mechanics [physics.med-ph]

Mathematics [math] / Probability [math.PR]

Mathematics [math] / Statistics [math.ST]

Statistics [stat] / Statistics Theory [stat.TH]

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https://hal-upec-upem.archives-ouvertes.fr/hal-00922708
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Submitted on : Sunday, December 29, 2013 - 10:56:19 PM
Last modification on : Wednesday, September 4, 2019 - 1:52:13 PM
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