Dynamic instability mitigation using a single nonlinear energy sink in a friction system with two unstable modes

Baptiste Bergeot (1, 2) , Sergio Bellizzi (3) , Sébastien Berger (1, 2)

1 DivS - Dynamique interactions vibrations Structures
2 INSA CVL - Institut National des Sciences Appliquées - Centre Val de Loire
3 Sons

This work studies a problem of passive mitigation by means of one nonlinear energy sink (NES) of a dynamic instability arising from two unstable modes of a primary structure. For that, a phenomenological friction model with four-degrees-of-freedom (DOF) having two unstable modes (the primary structure) is coupled to a NES. We investigate analytically, using an asymptotic analysis, the response regimes resulting from the interaction between the two unstable linear modes of the primary structure and the NES. The analytical results are compared and complemented by direct numerical simulations of the coupled system. In each situation, a good agreement is observed which allows us to validate the presented asymptotic analysis.

Domaines: Dynamique Chaotique [nlin.CD]; Acoustique [physics.class-ph]

Baptiste Bergeot, Sergio Bellizzi, Sébastien Berger. Dynamic instability mitigation using a single nonlinear energy sink in a friction system with two unstable modes. 10th European Nonlinear Dynamics Conference (ENOC 2020+2), Jul 2022, Lyon, France. ⟨hal-03748113⟩