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

Manuel Collet (1) , Morvan Ouisse (1) , Mohamed Ichchou (2) , Massimo Ruzzene (3)

1 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)
2 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes
3 Georgia Institute of Technology [Atlanta]

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.

Mots clés: Distributed control; 2D Waves Dispersion; Bloch Theorem; Shunted piezoelectric; Mid-Frequency Optimization

Domaines: Mécanique [physics.med-ph]

Manuel Collet, Morvan Ouisse, Mohamed Ichchou, Massimo Ruzzene. 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. SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring,, Mar 2011, San Diego, United States. ⟨10.1117/12.883118⟩. ⟨hal-00624078⟩