Stochastic reduced-order model for dynamical structures with high modal density in the low-frequency range

Anas Batou (1) , Christian Soize (1)

1 MSME - Laboratoire de Modélisation et Simulation Multi Echelle

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.

Mots clés: reduced-order model; ROM; structural dynamics; global modes; local modes

Domaines: Mécanique [physics.med-ph]; Probabilités [math.PR]; Statistiques [math.ST]; Vibrations [physics.class-ph]

Anas Batou, Christian Soize. Stochastic reduced-order model for dynamical structures with high modal density in the low-frequency range. 1st International Symposium on Uncertainty Quantification and Stochastic Modeling (Uncertainties 2012), Feb 2012, Maresias, SP, Brazil. pp.1-6. ⟨hal-00698750⟩