Article Dans Une Revue European Journal of Mechanics - A/Solids Année : 2025

Passive vibration control of a beam modeled through Generalized Beam Theory using a Nonlinear Energy Sink under different loading scenarios

Résumé

In the present paper a beam, part of a box girder bridge, modeled through Generalized Beam Theory is studied. In particular, vibrations are controlled by using a Nonlinear Energy Sink for different types of external loads. The objective is to combine this refined theory, which enables to consider interesting aspects of Thin-Walled Beams, with the concept of vibrations control through nonlinear devices, to take into account real scenarios where the use of classical beam theories and linear dampers could not be sufficient. The fundamental aspects of Generalized Beam Theory are first introduced, identifying its two main phases, cross-section analysis and member analysis, then Complexification Averaging and Multiple Scales Method are used to study the nonlinear problem, where the nonlinearity is represented by the cubic stiffness of the Nonlinear Energy Sink. Different load conditions are investigated, including earthquake and moving loads, and it is found that energy is correctly transferred from the beam to the device and, thanks to Generalized Beam Theory, vibrations due to resonant loads, with frequencies which cannot be found with classical beam theories, can be reduced. It is found that the use of a Nonlinear Energy Sink on a Thin-Walled Beam allows to reduce the vibrations even for complex loading cases, and GBT appears to be a very valuable tool in assessing this aspect. Results obtained in this paper, after proper optimization and experimental validation, could help the implementation of Nonlinear Energy Sinks on real bridge decks.
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Dates et versions

hal-04862371 , version 1 (06-01-2025)

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Andrea de Flaviis, Alireza Ture Savadkoohi, Daniele Zulli. Passive vibration control of a beam modeled through Generalized Beam Theory using a Nonlinear Energy Sink under different loading scenarios. European Journal of Mechanics - A/Solids, 2025, 111, pp.105552. ⟨10.1016/j.euromechsol.2024.105552⟩. ⟨hal-04862371⟩
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