Finite contact duration modeling of a Vibro-Impact Nonlinear Energy Sink to protect a civil engineering frame structure against seismic events

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 engineering frame structure under seismic input. It connected by rigid link to structure: particle bounces within when it vibrates, exploring dynamical regimes ranging from periodic collisions chaos while dissipating energy. Our designed order mitigate ten-story two historic earthquake signals, rule out specific effects. dynamics system, obtained both models, are compared discussed. main result reveals significant effect on estimation dissipated energy, even for very brief collisions. Instantaneous model indeed provides incommensurate values terms acceleration during impacts, leading higher sensitivity Initial Conditions (IC) revealed large fluctuations mechanical response. In turn, any models proved be less sensitive IC, thus more precise. findings demonstrate that converge fact same value, average, but require much realizations mean value. practice, low pass filters responses NES, avoiding system fall into nonphysical chaotic states experienced model.