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

International audienceIn this paper, we present an application of the Floquet-Bloch theorem in the context of electrodynamics forvibroacoustic power flow optimization by mean of distributed and shunted piezoelectric patches. The mainpurpose of this work is first to propose a dedicated numerical approach able to compute the multi-modal wavedispersion curves into the whole first Brillouin zone for periodically distributed 2D shunted piezo-mechanicalsystems. By using a specific indicator evaluating the evanescent part Bloch’s waves, we optimize, in a secondtime, the piezoelectric shunting electrical impedance for controlling energy diffusion into the proposed semi-activedistributed set of cells. A 3D modeling of semi-distributed distribution of the optimal smart metamaterial isused for validating the obtained cell design