On the response of small buildings to vibrations

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Nonlinear Dynamics (2013) .


In this work, the analysis the response to vibrations
of a small building equipped with an electromechanical
vibration absorber is investigated. In
the first part, the case of harmonic excitation with
constant or time dependent frequencies is considered,
and in the second part, the case of random earthquakes,
respectively. The cross correlation functions
and the mean square displacements are calculated for
the structure when it is equipped with an electromechanical
vibration absorber. The stochastic process
which characterizes the earth movements is coupled
to the cnoidal method, which delivers the analytical
solutions of the nonlinear problem. The interaction between
the structure and the energy source is analyzed
via the Sommerfeld effect inside the resonance region.
The resonance capture and the vibration reduction are
displayed by the time history responses of the displacement
and angular velocities above the resonance.

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