Computational nonlinear stochastic dynamics with model uncertainties and nonstationary stochastic excitation

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The 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.Anonlinear reduced-order modeling is first carried out. Then, model uncertainties (on geometry, material properties, etc.) are introduced using probabilistic methods 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.

Original languageEnglish (US)
Title of host publicationSafety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013
Pages959-966
Number of pages8
StatePublished - Dec 1 2013
Event11th International Conference on Structural Safety and Reliability, ICOSSAR 2013 - New York, NY, United States
Duration: Jun 16 2013Jun 20 2013

Publication series

NameSafety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013

Other

Other11th International Conference on Structural Safety and Reliability, ICOSSAR 2013
CountryUnited States
CityNew York, NY
Period6/16/136/20/13

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Safety, Risk, Reliability and Quality

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  • Cite this

    Capiez-Lernout, E., Soize, C., & Mignolet, M. (2013). Computational nonlinear stochastic dynamics with model uncertainties and nonstationary stochastic excitation. In Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013 (pp. 959-966). (Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013).