Uncertainty quantification in low-frequency dynamics of complex beam-like structures having a high-modal density

Anas Batou (1) , Christian Soize (1)

1 MSME - Laboratoire de Modélisation et Simulation Multi Echelle

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 in 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 construct 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.

Mots clés: Uncertainty quantification; UQ; reduced-order model; ROM; structural dynamics; beam-like structures; global displacements; local displacements; vibrations

Domaines: Mécanique [physics.med-ph]; Probabilités [math.PR]

Anas Batou, Christian Soize. Uncertainty quantification in low-frequency dynamics of complex beam-like structures having a high-modal density. International Journal for Uncertainty Quantification, 2013, 3 (6), pp.475-485. ⟨10.1615/Int.J.UncertaintyQuantification.2012005286⟩. ⟨hal-00808866⟩