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