Understanding vibroimpact damping through a numerical energy based approach
Résumé
Vibroimpact damping classically consists in the integration in a main vibrating structure of oscillating masses.
The energy is dissipated thanks to the impact interactions with the main vibrating structure. An assumption
is that energy is transferred for the low excited modes towards the higher modes of the structure, thanks to
nonlinear effects. This leads to a faster and more efficient energy dissipation. This hypothesis is investigated
within the framework of the work presented, in the case of a beam equipped with a vibroimpact absorber,
assuming conservative impacts. A numerical study is developed to solve the equations of motion and derive
energy balance with negligible error. Then, the energy transfers are assessed in the case of a harmonic excitation
centered on not only the first, but also the second mode, demonstrating the effectiveness of the vibro-impact
absorber in each case. Additionally, the way the energy is dissipated is explained and quantitatively assessed.
At least, the results obtained for the first modes are compared.
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