This paper investigates a problem of passive mitigation vibratory instabilities caused by two unstable modes means single nonlinear energy sink (NES). For this purpose, linear four-degree-of-freedom (DOF) primary structure having (reproducing the typical dynamic behavior friction system) and undergoing, as it is linear, unbounded motions when unstable, coupled to NES. In work, NES involves an e...

The nonlinear energy sink (NES) is defined as a single-degree-of-freedom structural element with relatively small mass and weak dissipation, attached to primary structure via essentially coupling. It passive dissipation device designed rapidly absorb vibration (due shock, blast, earthquakes, etc.) from locally dissipate it. article contains mini-review of the works on NESs. Design schemes for s...

Abstract For large initial rectilinear displacements, we investigate free response of a linear oscillator inertially coupled to rotational nonlinear energy sink (NES). Absent direct damping, two ranges orbitally stable solutions are accessible, in contrast one range at lower, intermediate energies (2021, J. Appl. Mech. 88, 121009). As lower energies, fractal and riddled basins attraction identi...

The article studies the dynamic behavior of a low-mass vibro-impact damper, considered as device for passive vibration control. Its design scheme corresponds to single-sided nonlinear energy sink (SSVI NES), which is supposed be used effective vibrations attenuation under different transient loads, namely, impulsive, broadband, wind. dynamics and effectiveness strongly depend both on damper own...

Nonlinear Energy Sinks (NES) are used to passively reduce the amplitude of vibrations. This reduction is made possible by introducing a nonlinearly stiffening behavior in the NES, which might lead to an irreversible transfer of energy between the main system (e.g., a building) and the NES. However, this irreversible transfer, and therefore the efficiency of the NES, is strongly dependent on the...

This paper reassesses carefully the effects and consequences of instantaneous contact mechanics versus finite duration modeling Vibro-Impact Nonlinear Energy Sinks (VI NES). The device is composed a container enclosing an inelastic sphere, interacting via nonlinear viscoelastic dissipative force with inner walls container. VI NES considered in practical context, control vibrations civil enginee...