Semi-active optimization of 2D wave's dispersion into mechanical systems by the mean of periodically distributed shunted piezoelectric patches: a new class of adaptive metamaterials
Résumé
In this paper, we present an application of the Floquet-Bloch theorem in the context of electrodynamics for
vibroacoustic power flow optimization by mean of distributed and shunted piezoelectric patches. The main
purpose of this work is first to propose a dedicated numerical approach able to compute the multi-modal wave
dispersion curves into the whole first Brillouin zone for periodically distributed 2D shunted piezo-mechanical
systems. By using a specific indicator evaluating the evanescent part Bloch’s waves, we optimize, in a second
time, the piezoelectric shunting electrical impedance for controlling energy diffusion into the proposed semi-active
distributed set of cells. A 3D modeling of semi-distributed distribution of the optimal smart metamaterial is
used for validating the obtained cell design.
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