Stochastic Reduced Order Models for Uncertain Infinite-Dimensional Geometrically Nonlinear Dynamical Systems- Stochastic Excitation Cases

X.Q. Wang; M. P. Mignolet; C. Soize; V. Khanna

hal-00684304, version 1

Stochastic Reduced Order Models for Uncertain Infinite-Dimensional Geometrically Nonlinear Dynamical Systems- Stochastic Excitation Cases

X.Q. Wang ( Auteur à contacter de préférence ) ¹, M. P. Mignolet () ¹, C. Soize (, ) ², V. Khanna () ¹

IUTAM Symposium on Nonlinear Stochastic Dynamics and Control, Location: Zhejiang Univ, Hangzhou, China 29 (2010) Pages: 293-302

Résumé : The application of the nonparametric stochastic modeling technique to reduced order models of geometrically nonlinear structures recently proposed is here further demonstrated. The complete methodology: selection of the basis functions, determination and validation of the mean reduced order model, and introduction of uncertainty is first briefly reviewed. Then, it is applied to a cantilevered beam to study the effects of uncertainty on its response to a combined loading composed of a static inplane load and a stochastic transverse excitation representative of earthquake ground motions. The analysis carried out using a 7-mode reduced order model permits the efficient determination of the probability density function of the buckling load and of the uncertainty bands on the power spectral densities of the stochastic response, transverse and inplane, of the various points of the structure.

1 : Fac Mech & Aerosp Engn
Arizona State University (ASU)
2 : Laboratoire de Modélisation et Simulation Multi Echelle (MSME)
Université Paris-Est Marne-la-Vallée (UPEMLV) – Université Paris-Est Créteil Val-de-Marne (UPEC) – CNRS : UMR8208

hal-00684304, version 1
http://hal-upec-upem.archives-ouvertes.fr/hal-00684304
oai:hal-upec-upem.archives-ouvertes.fr:hal-00684304
Contributeur : Christian Soize <>
Soumis le : Dimanche 1 Avril 2012, 12:05:40
Dernière modification le : Mercredi 19 Décembre 2012, 21:20:47

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DOI : 10.1007/978-94-007-0732-0_29

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%% hal-00684304, version 1
%% http://hal-upec-upem.archives-ouvertes.fr/hal-00684304
@inproceedings{wang:hal-00684304,
    hal_id = {hal-00684304},
    url = {http://hal-upec-upem.archives-ouvertes.fr/hal-00684304},
    title = {{Stochastic Reduced Order Models for Uncertain Infinite-Dimensional Geometrically Nonlinear Dynamical Systems- Stochastic Excitation Cases}},
    author = {Wang, X.Q. and Mignolet, M. P. and Soize, C. and Khanna, V.},
    abstract = {{The application of the nonparametric stochastic modeling technique to reduced order models of geometrically nonlinear structures recently proposed is here further demonstrated. The complete methodology: selection of the basis functions, determination and validation of the mean reduced order model, and introduction of uncertainty is first briefly reviewed. Then, it is applied to a cantilevered beam to study the effects of uncertainty on its response to a combined loading composed of a static inplane load and a stochastic transverse excitation representative of earthquake ground motions. The analysis carried out using a 7-mode reduced order model permits the efficient determination of the probability density function of the buckling load and of the uncertainty bands on the power spectral densities of the stochastic response, transverse and inplane, of the various points of the structure.}},
    keywords = {Uncertainty; reduced order models; random matrices; geometrically nonlinear structures; nonparametric stochastic modeling},
    language = {Anglais},
    affiliation = {Fac Mech \& Aerosp Engn , Laboratoire de Mod{\'e}lisation et Simulation Multi Echelle - MSME},
    booktitle = {{IUTAM Symposium on Nonlinear Stochastic Dynamics and Control}},
    publisher = {Springer, 233 Spring Street, New York, NY 10013, United States},
    pages = {Pages: 293-302},
    address = {Hangzhou, Chine},
    volume = {29},
    editor = {Zhu, WQ; Lin, YK; Cai, GQ },
    series = {Book Series: IUTAM Bookseries },
    audience = {internationale },
    doi = {10.1007/978-94-007-0732-0\_29 },
    year = {2011},
    pdf = {http://hal-upec-upem.archives-ouvertes.fr/hal-00684304/PDF/conference-2011-IUTAM-symposium-NLSD-Hangzhou-10-14-May-2010-wang-mignolet-soize-khanna.pdf},
}

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