Abstract
The conventional piezoelectric metamaterials with operational-amplifier-based shunt circuits have limited application due to the voltage restriction of the amplifiers. In this research, we report a novel piezoelectric metamaterial beam that takes advantage of mechanical shunt resonators. The proposed metamaterial beam consisted of a piezoelectric beam and remote mechanical piezoelectric resonators coupled with electrical wires. The local resonance of the remote mechanical shunt resonators modified the mechanical properties of the beam, yielding an elastic wave attenuation capability. A finite-length piezoelectric metamaterial beam and mechanical shunt resonators were considered for conceptual illustration. Significant elastic wave attenuation can be realized in the vicinity of the resonant frequency of the shunt resonators. The proposed system has the potential in the application of wave attenuation under large-amplitude excitations.
Highlights
The features of phononic crystals and metamaterials stem from Bragg scattering and local resonance, respectively [19,20,21,22,23]
Metamaterials take advantage of the local resonance behavior of integrated local resonators, i.e., the system dynamics does not rely on the unit-cell dimension, and possess the extraordinary capability of low-frequency elastic waves manipulation with small-size unit-cells [27,28,29]
The influences of the dynamics of the shunt resonator are proportional to the electromechanical coupling coefficient k212 the equivalent electrical impedance includes a component of the capacitance of the piezoelectric transducer 1/iωCp2 Substituting Equation (4) into Equation (1), the equivalent Young’s modulus of the piezoelectric transducer on the main beam can be given as:
Summary
Phononic crystals and metamaterials have attractive potential in elastic wave manipulation and attenuation [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29]. A metamaterial is capable of attenuating elastic waves in a low-frequency range without changing the primary structure or requiring extra construction volumes. The proposed design overcomes the limitation of the voltage in op-amp-based inductive shunt circuits, i.e., it has the potential in attenuating large-amplitude elastic waves. The influences of the dynamics of the shunt resonator are proportional to the electromechanical coupling coefficient k212 the equivalent electrical impedance includes a component of the capacitance of the piezoelectric transducer 1/iωCp2 Substituting Equation (4) into Equation (1), the equivalent Young’s modulus of the piezoelectric transducer on the main beam can be given as: ESpU. In other words, coupling the shunt resonator via piezoelectric transducers can effectively introduce the local resonance effect to the main beam. The equivalent Young’s modulus of the piezoelectric transducer on the main beam contains components of Cεp/Cp2 and Cεp/m
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