Interaction between band gaps of beam piezoelectric phononic crystal

Theoretical models of beam piezoelectric phononic crystal have been proposed, where piezoelectric patches and other elastic structure are arrayed periodically. Each piezoelectric patch is connected by a resonant shunting circuit independently. Three kinds of piezoelectric patches, i.e., bimorph in series and in parallel, and unimorph, are taken into consideration. The coupling interaction between Bragg and locally resonant band gaps is investigated. The numerical results have demonstrates that it is feasible to obtain specific band gaps through adjusting the interaction between band gaps by inductance. This characteristic can enhance the applicability of phononic crystals.