Inscrição na biblioteca: Guest
Portal Digital Begell Biblioteca digital da Begell eBooks Diários Referências e Anais Coleções de pesquisa
International Journal for Uncertainty Quantification
Fator do impacto: 4.911 FI de cinco anos: 3.179 SJR: 1.008 SNIP: 0.983 CiteScore™: 5.2

ISSN Imprimir: 2152-5080
ISSN On-line: 2152-5099

Open Access

International Journal for Uncertainty Quantification

DOI: 10.1615/Int.J.UncertaintyQuantification.2012005286
pages 475-485

UNCERTAINTY QUANTIFICATION IN LOW-FREQUENCY DYNAMICS OF COMPLEX BEAM-LIKE STRUCTURES HAVING A HIGH-MODAL DENSITY

Anas Batou
Université Paris-Est, Laboratoire Modlisation et Simulation Multi Echelle, MSME UMR 8208 CNRS, 5 bd Descartes, 77454 Marne-la-Vallée, France
Christian Soize
Université Paris-Est Marne-La-Vallée Cité Descartes 5, bd Descartes, Champs sur Marne, 77454 Marne La Vallee Cedex 2, France

RESUMO

The paper deals with the construction of a stochastic reduced-order model for beam-like dynamical structures having a high-modal density in the low-frequency range for which the classical methods used to construct a reduced-order model are not adapted. We then use a method recently proposed which consists of constructing a basis of the global displacements and a basis of the local displacements by solving two unusual eigenvalue problems. The stochastic reduced-order model is then constructed using the basis of the global displacements. The contribution of the local displacements is taken into account in the reduced-order model using a statistical approach. The theory is presented and is applied to a computational model of fuel assemblies for which the dynamical response must be characterized in terms of global displacements.

Referências

  1. Craig, R. and Kurdila, A., Fundmentals of Structural Dynamics.

  2. Ohayon, R. and Soize, C., Structural Acoustics and Vibration.

  3. Ewins, D., Modal Testing: Theory and practice.

  4. Soize, C., Capiez-Lernout, E., and Ohayon, R., Robust updating of uncertain computational models using experimental modal analysis. DOI: 10.2514/1.38115

  5. Soize, C., Reduced models in the medium frequency range for general dissipative structural-dynamics systems. DOI: 10.1016/S0997-7538(99)80027-8

  6. Soize, C., Probabilistic structural modeling in linear dynamic analysis of complex mechanical systems, I—Theoretical elements.

  7. Soize, C. and Batou, A., Stochastic reduced-order model in low-frequency dynamics in presence of numerous local elastic modes. DOI: 10.1115/1.4002593

  8. Noor, A., Anderson, M., and Greene, W., Continuum models for beam- and platelike-lattice structures. DOI: 10.2514/3.61036

  9. Planchard, J., Vibrations of nuclear fuel assemblies: A simplified model. DOI: 10.1016/0029-5493(85)90303-6

  10. Sigrits, J. and Broc, D., Dynamic analysis of a tube bundle with fluid-structure interaction modelling using a homogenisation method. DOI: 10.1016/j.cma.2007.10.010

  11. Langley, R. and Bremmer, P., A hybrid method for the vibration analysis of complex structural-acoustic systems. DOI: 10.1121/1.426705

  12. Karhunen, K., Zur spektral theorie stochasticher prozesse.

  13. Loève, M., Probability Theory.

  14. Holmes, P., Lumley, J., and Berkooz, G., Turbulence, Coherent Structures, Dynamical Systems and Symmetry.

  15. Soize, C., Random matrix theory for modeling random uncertainties in computational mechanics. DOI: 10.1016/j.cma.2004.06.038

  16. Rubinstein, R., Simulation and the Monte Carlo Method.

  17. Batou, A. and Soize, C., Experimental identification of turbulent fluid forces applied to fuel assemblies using an uncertain model and fretting-wear estimation. DOI: 10.1016/j.ymssp.2009.03.018


Articles with similar content:

A CONTINUUM MECHANICAL SURROGATE MODEL FOR ATOMIC BEAM STRUCTURES
International Journal for Multiscale Computational Engineering, Vol.13, 2015, issue 5
Roger A. Sauer, Ahmed E. Ismail, Marcus G. Schmidt
Evaluation of Effective Thermal Conductivities of Porous Textile Composites
International Journal for Multiscale Computational Engineering, Vol.6, 2008, issue 2
Michal Sejnoha, Jan Zeman, Jan Novak, Blanka Tomkova
HIERARCHICAL SPARSE BAYESIAN LEARNING FOR STRUCUTRAL HEALTH MONITORING WITH INCOMPLETE MODAL DATA
International Journal for Uncertainty Quantification, Vol.5, 2015, issue 2
Yong Huang, James L. Beck
NONLOCAL/COARSE-GRAINING HOMOGENIZATION OF LINEAR ELASTIC MEDIA WITH NON-SEPARATED SCALES USING LEAST-SQUARE POLYNOMIAL FILTERS
International Journal for Multiscale Computational Engineering, Vol.12, 2014, issue 5
Julien Yvonnet, Guy Bonnet
A STOPPING CRITERION FOR ITERATIVE SOLUTION OF STOCHASTIC GALERKIN MATRIX EQUATIONS
International Journal for Uncertainty Quantification, Vol.6, 2016, issue 3
Christophe Audouze , Pär Håkansson, Prasanth B. Nair