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

Abstract : 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.
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Contributor : Christian Soize <>
Submitted on : Monday, April 8, 2013 - 9:37:16 AM
Last modification on : Wednesday, February 17, 2021 - 10:42:04 AM
Long-term archiving on: : Tuesday, July 9, 2013 - 4:04:44 AM

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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, Begell House Publishers, 2013, 3 (6), pp.475-485. ⟨10.1615/Int.J.UncertaintyQuantification.2012005286⟩. ⟨hal-00808866⟩

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