A numerical investigation on passive suppression of the parametric instability phenomenon using a rotative non-linear vibration absorber

The results show that, depending on the NVA parameters, bounded responses are achieved even in a scenario in which the parametric excitation parameters lead to unbounded responses of the cylinder without the suppressor. Furthermore, different types of cylinder response are obtained, including strongly modulated responses as well as complete suppression of oscillations. An asymptotic analysis based on the complexification-averaging and multiple scales methods allows identifying that the suppression is associated with a capture on an invariant manifold of the system. These and other features of the response are deeplier analyzed in the paper.