Piezoelectric phononic plates: retrieving the frequency band structure via all-electric experiments

Chikh-Bled, Feriel; Kherraz, Nesrine; Sainidou, R.; Rembert, Pascal; Morvan, Bruno

doi:10.1088/1361-665x/ab4aac

Cited by 11 publications

(8 citation statements)

References 32 publications

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“…Due to the periodic and lattice nature of the proposed configurations and based on the concept of Bravais lattice, one can effectively choose and study a reference unit cell and then generalize the results to all its close and distant neighboring cells using some periodicity-based methods, such as the Bloch theorem [45].…”

Section: Methodsmentioning

confidence: 99%

Tunable multi-metamaterials intergrated with auxiliary magnetorheological resonators

Jafari,

Sedaghati

2023

Mater. Res. Express

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In recent years, there has been a surge in interest in utilizing multi-metamaterials for various purposes, such as vibration control, noise reduction, and wave manipulation. To enhance their performance and tunability, auxiliary resonators and magnetorheological elastomers (MREs) can be effectively integrated into these structures. This research aims to formulate the wave propagation analysis of periodic architected structures integrated with MRE-based auxiliary resonators. For this purpose, cantilever MRE beams are embedded into conventional unit cells of square and hexagonal shapes. Integrating MREs into multi-metamaterial structures allows for real-time tuning of the material properties, which enables the multi-metamaterial to adapt dynamically to changing conditions. The wave propagation in the proposed architected structures is analyzed using the finite element method and Bloch’s theorem. The studied low-frequency region is significant, and the addition of MRE resonators leads to the formation of a mixture of locally resonant and Bragg-type stop bands, whereas the basic structures (pure square and hexagonal) do not exhibit any specific band gaps in the considered region. The effect of different volume fractions and applied magnetic fields on the wave-attenuation performance is also analyzed. It is shown that band gaps depend on the material parameters of the resonators as well as the applied magnetic flux stimuli. Moreover, the area of band gaps changes, and their operating frequency increases by increasing the magnetic flux around the periodic structure, allowing for the tuning of wave propagation areas and filtering regions using external magnetic fields. The findings of this study could serve as a foundation for designing tunable elastic/acoustic metamaterials using MRE resonators that can filter waves in predefined frequency ranges.

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Section: Methodsmentioning

confidence: 99%

Tunable multi-metamaterials intergrated with auxiliary magnetorheological resonators

Jafari,

Sedaghati

2023

Mater. Res. Express

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“…We further narrow this study to certain piezoceramics with non-zero piezoelectric coefficients e 31 , e 33 , e 32 , e 24 , e 15 , and permittivity ε S 11 = ε S 22 = ε S 33 , which comes from poling in the thickness (z) direction. This is the case for piezoceramics commonly used for metamaterials [9][10][11] and transducers [13] (e.g. lead zirconium titanate (PZT) and barium titanate).…”

Section: Impedance Matrix Formulationmentioning

confidence: 99%

“…where ω is the angular frequency, and K 1−4 are constants. When equations (10) and (11) are used in the governing equations (1)-(3), along with the relation (5), the phase velocities are found to be…”

Section: Impedance Matrix Formulationmentioning

confidence: 99%

“…The dispersion relation of a piezoelectric plate with periodically spaced electrical shunted circuits on the top and bottom was recently investigated theoretically [9,10] and experimentally [11]. These investigations found relatively low frequency band gaps in the zeroth order symmetric Lamb wave S 0 resulting from the avoided crossing of the electrical circuit lattice band with the mechanical lamb wave band [9][10][11]. These hybridization band gaps occur at lower frequencies than the Bloch-wave band gap arising from the periodicity of the electrodes connected to the circuits [9,10].…”

Section: Introductionmentioning

confidence: 99%

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Tunable piezoelectric metamaterial for Lamb waves using periodic shunted circuits

Schipf¹,

Guild²,

Sieck³

2022

Preprint

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Piezoelectric elastic metamaterials offer the ability to overcome the fixed, narrow bandwidth characteristics of passive elastic metamaterials. Interesting ultrasonic band gaps exist in piezoelectric plate metamaterials with periodic electrodes connected to shunted circuits. These band gaps result from an avoided crossing between electrical and mechanical bands, and can arise at lower frequencies than Bloch wave band gaps. Current analytical modeling techniques for these systems are numerically cumbersome, and assume an infinitely periodic plate. We present an approximate two-dimensional analytical model that can be used to directly calculate scattering coefficients for finite length plates. This model is shown to predict a band diagram that compares well with diagrams obtained from finite element analysis (FEA). Lower than 10% difference in the estimation of the location of the band gap was found for a plate thickness of 2 mm, electrode width of 1 mm, and gap between electrodes greater than 1.2 mm. We calculate effective impedances and effective wavenumbers from global scattering coefficients. The calculated effective normalized wavenumber swings from positive values (0 < k eff ≤ 1) to negative values (0 > k eff ≥ −1) at the low-frequency band gap, resembling wavenumbers for negative stiffness Helmholtz resonator metamaterials. This presents a new perspective on periodic shunted circuit piezoelectric plates as electrically tunable, negative stiffness metamaterials analogous to Helmholtz resonator lined acoustic waveguides.

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“…Later, they extended their model to two-dimensional (2D) bimorph piezoelectric plate metamaterial with multiple electrodes [27]. The previous efforts have shown the effects of increased electrode segmentation on fully covered piezoelectric plates as a way of bandgap formation, but for experimentally feasible cases of discretely placed piezo resonators on finite-size plates [21,23,28], a general modal analysis framework for investigating the locally resonant bandgap is still lacking in the literature.…”

Section: Introductionmentioning

confidence: 99%

Modal analysis of finite-size piezoelectric metamaterial plates

Aghakhani

Gozum

Basdogan

2020

J. Phys. D: Appl. Phys.

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Two-dimensional electromechanical metamaterials composed of thin plates with local piezoelectric resonators can display extreme vibration attenuation characteristics at desired frequencies. The typical bandgap analyses in the literature use the assumption of wave propagation in an infinite elastic structure and do not consider the modal characteristics of the structure. However, for practical implementation and design of finite-size electromechanical metamaterials, modal behaviour of the host structure and piezoelectric elements must be coupled with the dynamics of shunt circuits. To this end, we present a system-level modal analysis framework for finite-size thin plates with a segregated array of piezo-patches connected to resonant shunt circuits. The developed model takes into account the spatially discontinuous flexural rigidity of the metamaterial plate due to discrete placement of piezoelectric resonators on the substrate. Using the developed framework, we show that the electrical quality factor of resonators is critical for transitioning from broadband shunt damping to bandgap formation in piezoelectric plate metamaterials. This enables on-demand tailoring of effective dynamic stiffness of metamaterial plates for the targeted task. Lastly, for a fixed number of discrete resonators, we demonstrate the effect of physical gap size between resonators on the bandgap creation. Overall, the modelling frameworks in this study can be used for predicting the dynamics of piezoelectric plate-type metamaterials for applications in waveguiding, attenuation, filtering, and energy harvesting.

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Piezoelectric phononic plates: retrieving the frequency band structure via all-electric experiments

Cited by 11 publications

References 32 publications

Tunable multi-metamaterials intergrated with auxiliary magnetorheological resonators

Tunable multi-metamaterials intergrated with auxiliary magnetorheological resonators

Tunable piezoelectric metamaterial for Lamb waves using periodic shunted circuits

Modal analysis of finite-size piezoelectric metamaterial plates

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