https://hal.archives-ouvertes.fr/hal-00806412Capiez-Lernout, EvangélineEvangélineCapiez-LernoutMSME - Laboratoire de Modélisation et Simulation Multi Echelle - UPEM - Université Paris-Est Marne-la-Vallée - UPEC UP12 - Université Paris-Est Créteil Val-de-Marne - Paris 12 - CNRS - Centre National de la Recherche ScientifiqueSoize, ChristianChristianSoizeMSME - Laboratoire de Modélisation et Simulation Multi Echelle - UPEM - Université Paris-Est Marne-la-Vallée - UPEC UP12 - Université Paris-Est Créteil Val-de-Marne - Paris 12 - CNRS - Centre National de la Recherche ScientifiqueMignolet, M.M.MignoletFac Mech & Aerosp Engn - Faculties of Mechanical and Aerospace Engineering - ASU - Arizona State University [Tempe]Computational nonlinear stochastic dynamics with model uncertainties and nonstationary stochastic excitationHAL CCSD2013nonlinear dynamical computational modelnonstationary stochastic excitationuncertainty quantification[SPI.MECA] Engineering Sciences [physics]/Mechanics [physics.med-ph][MATH.MATH-PR] Mathematics [math]/Probability [math.PR]Soize, ChristianG. deodatis2013-03-30 20:16:032022-09-29 14:21:152013-04-02 16:13:29enConference papersapplication/pdf1The construction of advanced numerical methodologies for the prediction of the dynamical behavior of complex uncertain structures represents an important current challenge. In the present work, structures undergoing large displacements and high strains are investigated. Of particular interest is the analysis of the post-buckling dynamics of a cylindrical shell submitted to an horizontal seismic excitation. The nominal (i.e. without uncertainties) computational model of the cylindrical shell is large, i.e. comprising about 4 200 000 degrees of freedom, obtained with the finite element method using three-dimensional solid elements. A nonlinear reduced-order modeling is first carried out. Then,model uncertainties (on geometry,material properties, etc.) are introduced using probabilisticmethods and the corresponding stochastic reduced-order nonlinear computational model is obtained. The identification of its parameters is next carried out using nonlinear static post-buckling data. Finally, a numerical nonlinear dynamic analysis of the uncertain shell is performed in a seismic context, for which the base of the cylindrical shell is submitted to a prescribed rigid shear displacement, modeled through a centered non-stationary Gaussian second-order stochastic process. The stochastic displacement field is then calculated and the effects of uncertainties and of nonlinearities are analyzed in details.