A reduced-order modeling technique for the study of non-linear vibrations in dissipative systems
Résumé
This work is dedicated to the presentation and testing of a new reduced-order modeling technique, devised in order to handle effectively vibrations of phenomenological models as well as large-scale industrial systems, in the presence of strongly activated nonlinearities. The method is quite flexible and does not require any restrictions concerning the nature of the nonlinear effects. Both smooth and non-smooth nonlinearities can be tackled, as well as dissipative phenomena. In this paper the main steps of this new reduction strategy are introduced, and the method is tested on a lumped-parameter model, representative of the bending behaviour of an industrial bladed-disk subjected to dry friction at the blade-disk joints. The method proves to efficiently capture and render the intricate dynamics of the model, while providing a significant improvement in terms of computational effort, allowing here to perform a short study of the amplification factor arising from mistuning in the presence of strong nonlinearities.
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