A hysteretic vibration attachment in internal resonance conditions for vibration mitigation

The dynamic behavior of a 2DOF system consisting of a primary structure and a hysteretic vibration attachment is investigated. With respect to viscoelastic tuned mass damper, which works in internal resonance condition (1:1), the systems with the nonlinear attachment can exhibit different internal resonance conditions (n:1), with n>1. Such these conditions be met, hysteresis produces bifurcations and superabundant nonlinear modes which are shown to be very effective in reducing the response of the primary structur