This paper deals with the nonusual case in structural dynamics for which a complex structure exhibits both the usual global elastic modes and numerous local elastic modes in the low-frequency range. Despite the presence of these local elastic modes, we are interested in constructing a stochastic reduced-order model using only the global modes and in taking into account the local elastic modes with a probabilistic approach. In the first part, a formulation and an algorithm, which allow the “global elastic modes” and the “local elastic modes” to be calculated, are presented. The second part is devoted to the construction of the stochastic reduced-order model with the global elastic modes and in taking into account the uncertainties on the effects of the local elastic modes by the nonparametric probabilistic approach. Finally, an application, which validates the proposed theory is presented.
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e-mail: christian.soize@univ-paris-est.fr
e-mail: anas.batou@univ-paris-est.fr
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November 2011
Research Papers
Stochastic Reduced-Order Model in Low-Frequency Dynamics in Presence of Numerous Local Elastic Modes
C. Soize,
e-mail: christian.soize@univ-paris-est.fr
C. Soize
Professor
Laboratoire Modélisation et Simulation Multi-Echelle (MSME), UMR 8208 CNRS
, Université Paris-Est, 5 bd Descartes, 77454 Marne-la-Vallée, France
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A. Batou
e-mail: anas.batou@univ-paris-est.fr
A. Batou
Assistant Professor
Laboratoire Modélisation et Simulation Multi-Echelle (MSME), UMR 8208 CNRS
, Université Paris-Est, 5 bd Descartes, 77454 Marne-la-Vallée, France
Search for other works by this author on:
C. Soize
Professor
Laboratoire Modélisation et Simulation Multi-Echelle (MSME), UMR 8208 CNRS
, Université Paris-Est, 5 bd Descartes, 77454 Marne-la-Vallée, France
e-mail: christian.soize@univ-paris-est.fr
A. Batou
Assistant Professor
Laboratoire Modélisation et Simulation Multi-Echelle (MSME), UMR 8208 CNRS
, Université Paris-Est, 5 bd Descartes, 77454 Marne-la-Vallée, France
e-mail: anas.batou@univ-paris-est.fr
J. Appl. Mech. Nov 2011, 78(6): 061003 (9 pages)
Published Online: August 22, 2011
Article history
Received:
August 26, 2009
Revised:
September 20, 2010
Accepted:
September 20, 2010
Online:
August 22, 2011
Published:
August 22, 2011
Citation
Soize, C., and Batou, A. (August 22, 2011). "Stochastic Reduced-Order Model in Low-Frequency Dynamics in Presence of Numerous Local Elastic Modes." ASME. J. Appl. Mech. November 2011; 78(6): 061003. https://doi.org/10.1115/1.4002593
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