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.
Highlights
Metamaterials, defined as artificial structures that exhibit physical properties not available in natural material, have extraordinary capability in low-frequency sound/vibration attenuation, negative refraction, and super lenses [1,2,3,4,5,6,7,8]
The lumped-parameter model of the piezoelectric metamaterial is established, which is built upon the continuum mechanics characterization of the host substrate and piezoelectric transducer at the unit-cell level, to reveal the parametric influence on bandgap width
It can be readily observed that increasing the width of the cavity can effectively reduce the stiffness of the unit-cell, which yields a significant increase of the system level electro-mechanical coupling
Summary
Metamaterials, defined as artificial structures that exhibit physical properties not available in natural material, have extraordinary capability in low-frequency sound/vibration attenuation, negative refraction, and super lenses [1,2,3,4,5,6,7,8]. Piezoelectric periodic arrays are integrated into rods for wave attenuation and localization [20] In another example, multi-resonant shunts were adopted to generate multiple bandgaps in a piezoelectric metamaterial [21]. A more common approach is to conduct continuum mechanics-based modeling of the host substrate, followed by discretization with respect to wavenumber, where an equivalent frequency-dependent Young’s modulus is used to reflect the piezoelectric shunt circuit effect [22,26]. The lumped-parameter model of the piezoelectric metamaterial is established, which is built upon the continuum mechanics characterization of the host substrate and piezoelectric transducer at the unit-cell level, to reveal the parametric influence on bandgap width. Systematic case investigations through finite element analysis are conducted to demonstrate the modeling and new design
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
