Broadening Bandgap Width of Piezoelectric Metamaterial by Introducing Cavity

Abstract

In this research, a semi-analytical model of the adaptive piezoelectric metamaterial, built upon continuum mechanics characterization, was formulated and analyzed to reveal the fundamental features of bandgap with respect to unit-cell parameters under transverse wave. A new mechanism to broaden the bandgap width, was then introduced through geometric cavity synthesis. It was demonstrated that the cavities incorporated into the host structure of the piezoelectric metamaterial can increase the electro-mechanical coupling of the system, which effectively yields broadened bandgap width. Case studies were performed to demonstrate the enhanced performance of the new design, as well as the tunability. Compared with the conventional piezoelectric metamaterial, the metamaterial with cavity synthesis can increase the bandgap width from 45 Hz to 126.7 Hz.

Valley Hall Elastic Edge States in Locally Resonant Metamaterials

“…In TIs, topologically protected edge states (TPESs) provide robust wave propagation immune to disturbances and defects. This working concept of TIs has rapidly been extended to other classical fields such as the photonics [2,3,11], acoustics [12][13][14][15], and elastic fields [16][17][18][19].…”

Design of tunable acoustic metamaterials with periodic piezoelectric microstructure

“…A detailed review of different shunt piezoelectric systems for noise, vibration and wave propagation control is provided in [84][85][86]. The case of metamaterials with piezoelectric phases shunted by dissipative and/or non-dissipative electrical circuit, characterized by variable capacitors, is widely investigated in the spectral design of waveguides and/or acoustic filters [87][88][89][90][91][92][93][94][95][96][97].…”

Elastic Wave Properties of an Adaptive Electromechanical Metamaterial Beam

“…Recently, Sugino et al [13,14] derived the bound frequencies of the locally resonant bandgap for a piezoelectric bimorph beam, finding that the purely piezoelectric locally resonant bandgap size mainly depends on the electromechanical coupling coefficient. Xu et al [15] established a semianalytical model of adaptive piezoelectric materials and proposed a new method to widen the bandgap by adding geometric cavities, which can increase the electromechanical coupling coefficient and effectively broaden the bandwidth.…”