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Stochastic reduced-order model for quasi-periodic beam structures having numerous local elastic modes in the low-frequency range

Abstract : The problem considered here concerns the construction of a stochastic reduced-order model for quasi-periodic beam structures having numerous local elastic modes 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 validated through an application.
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Submitted on : Friday, May 4, 2012 - 9:52:43 PM
Last modification on : Tuesday, October 19, 2021 - 4:09:03 PM
Long-term archiving on: : Sunday, August 5, 2012 - 2:40:55 AM

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Anas Batou, Christian Soize. Stochastic reduced-order model for quasi-periodic beam structures having numerous local elastic modes in the low-frequency range. The 18th International Congress on Sound and Vibration (ICSV 18), The International Institute of Acoustics and Vibration, Jul 2011, Rio de Janeiro, Brazil. pp.1-8. ⟨hal-00694597⟩

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