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

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 contact duration modeling of Vibro-Impact Nonlinear Energy Sinks (VI NES). The device is composed of a container enclosing an inelastic sphere, interacting via a nonlinear viscoelastic dissi...

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Bibliographic Details
Published in:Engineering structures Vol. 259; p. 114137
Main Authors: Lo Feudo, S., Job, S., Cavallo, M., Fraddosio, A., Piccioni, M.D., Tafuni, A.
Format: Journal Article
Language:English
Published: Kidlington Elsevier Ltd 15-05-2022
Elsevier BV
Elsevier
Subjects:
Civil Engineering
Collisions
Contact mechanics
Containers
Convergence
Earthquake engineering
Earthquakes
Energy
Engineering Sciences
Frame structures
Historical structures
Initial conditions
Low pass filters
Mathematics
Mechanical analysis
Mechanics
Modelling
Nonlinear Energy Sink
Numerical Analysis
Passive control
Seismic activity
Solid mechanics
Vibrations
Vibro-impact damper
Viscoelasticity
Vibro-impact damper
Earthquake engineering
Passive control
Nonlinear Energy Sink
Contact mechanics
passive control
contact mechanics
earthquake engineering
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Summary:This paper reassesses carefully the effects and consequences of instantaneous contact mechanics versus finite contact duration modeling of Vibro-Impact Nonlinear Energy Sinks (VI NES). The device is composed of a container enclosing an inelastic sphere, interacting via a nonlinear viscoelastic dissipative force with the inner walls of the container. The VI NES is considered in a practical context, the control of the vibrations of a civil engineering frame structure under seismic input. It is connected by a rigid link to the structure: the particle bounces within the container when it vibrates, exploring dynamical regimes ranging from periodic collisions to chaos while dissipating energy. Our VI NES is designed in order to mitigate vibrations of a ten-story frame structure under two historic earthquake signals, in order to rule out specific effects. The dynamics of the system, obtained from both finite and instantaneous contact models, are compared and discussed. The main result reveals a significant effect of the contact duration on the estimation of the dissipated energy, even for very brief collisions. Instantaneous contact model indeed provides incommensurate values in terms of acceleration during the impacts, leading to a higher sensitivity to Initial Conditions (IC) revealed by large fluctuations of the mechanical response. In turn, any finite duration contact models is proved to be less sensitive to IC, and thus more precise. Our findings demonstrate that both finite and instantaneous models converge in fact to the same value, in average, but the finite duration models require much less realizations to converge to the mean value. In practice, the finite contact duration low pass filters the mechanical responses of the VI NES, avoiding the system to fall into nonphysical chaotic states experienced by the instantaneous model. •Vibro-Impact Nonlinear Energy Sink (VI NES) as civil engineering protection device.•Realistic and reliable nonlinear contact dynamics models of a VI NES.•Parametric study and design of a VI NES against real earthquakes.•Sensitivity analysis of the response of a VI NES to initial conditions.•Detailed study of the seismic response of a 10-story building equipped with a VI NES.
ISSN:0141-0296
1873-7323
DOI:10.1016/j.engstruct.2022.114137