Manipulating elastic waves through piezoelectric metamaterial with nonlinear electrical switched Dual-connected topologies

Abstract

This research proposes a new kind of piezoelectric metamaterials with nonlinear SSDI (Synchronized Switching Damping on Inductor) Dual-connected electronic networks, which provides a new electrical medium coupled with the piezoelectric beam metamaterial for elastic wave manipulation and vibration control. Specifically, the proposed topology considers several piezoelectric elements periodically and evenly bonded onto the substructure. The proposed structure is composed of several electromechanical (EM) periodic cells. All the piezoelectric elements in one EM periodic cell are connected to each other in a cyclic fashion by identical SSDI shunts, and there is no electrical connection between every two EM periodic cells, shaping the Dual-connected electrical connection. Based on the wave propagation theory and finite element modeling, band structure and eigenmode shapes of the proposed structure are investigated for elastic wave manipulation and low-frequency vibration control. Results show that the proposed structure with SSDI 2-order-Dual-connected electrical networks exhibits broad phononic band gaps. Especially, band gap hybridization with Bragg-type band gap generation mechanism in the proposed structure with SSDI 2-order-Dual-connected electrical networks outperforms that of the piezoelectric metamaterial with SSDI independent networks. Furthermore, the low frequency vibration reduction and wave attenuation performance of the proposed structure is experimentally validated by measuring the harmonic response of a periodic clamped-clamped piezoelectric beam structure.