Stochastic reduced-order model for dynamical structures with high modal density in the low-frequency range
Résumé
The problem considered here concerns the construction of a stochastic reduced-order model for dynamical structures having a high modal density in the low frequency range. The classical methods used for the low-frequency range to construct a reduced-order model are not adapted in this case. We then use a recently proposed method which consists in constructing a basis of the global displacements and a basis of the local displacements by solving two separate eigenvalue problems. We then construct a stochastic reduced-order model using the basis of the global displacements and the contribution of the local displacements is taken into account using a probabilistic approach. The theory is presented and is applied to tube bundles structures which is are quasi-periodic structures for which the dynamical response is characterized by ensemble (global) displacements and more local displacements.
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conference-2012-Uncertainties-Maresias-batou-soize-preprint.pdf (350.89 Ko)
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