Tunable phononic structures using Lamb waves in a piezoceramic plate

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

doi:10.1103/physrevb.99.094302

Cited by 31 publications

(29 citation statements)

References 59 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For instance, an inductive shunt in association with the inherent capacitive nature of the piezoelectric material will operate as an equivalent electric resonant circuit that produces avoided crossings and, under certain conditions, opening up of hybridization gaps. Though such hybrid modes originating from the admixture of localized electric resonance with Lamb-like modes are predicted theoretically by the authors in previous papers [27,28] for various electric-load configurations, up to now no experimental investigation of their dispersion properties has been realized. In this paper, we present an alternative method based on all-electric measurements to retrieve the frequency band structure of a one-dimensional piezoelectric phononic crystal plate coupled with external circuits inducing electric impedance loads on the structure.…”

Section: Introductionmentioning

confidence: 93%

“…After a careful comparison of figure 9(a) with the folded at k 1 = 785.4 m −1 corresponding dispersion plot of system I we conclude that the flat band extending from 0.482 MHz ( k1a π = 1) to 0.524 MHz ( k1a π = 0) is the electric-resonance band; the rest of the frequency bands correspond to typical Lamb-like modes. In the real system (see figure 9(b)), these modes lower slightly in frequency, due to the modification in the electromechanical parameters entering in the eigenvalue problem (see [28]) after switching off the coupling terms. To confirm the electric origin of this flat mode, an equivalent electric-line model is developed, to describe and reproduce the coupling of the isolated electric resonators, arranged in a periodic chain (see Appendix).…”

Section: Symmetric Ebcs Including Inductances Connected In Parallel Tmentioning

confidence: 99%

See 1 more Smart Citation

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

Chikh-Bled

Kherraz

Sainidou

et al. 2019

Smart Mater. Struct.

View full text Add to dashboard Cite

We propose an experimental technique based on all-electric measurements to retrieve the frequency response of a one-dimensional piezoelectric phononic crystal plate, structured periodically with millimeter-scaled metallic strips on its two surfaces. The metallic electrodes, used for the excitation of Lamb-like guided modes in the plate, ensure at the same time control of their dispersion by means of externally loaded electric circuits that offer non-destructive tunability in the frequency response of these structures. Our results, in very good agreement with finite-element numerical predictions, reveal interesting symmetry aspects that are employed to analyze the frequency band structure of such crystals. More importantly, Lamb-like guided modes interact with electric-resonant bands induced by inductance loads on the plate, whose form and symmetry are discussed and analyzed in depth, showing unprecedented dispersion characteristics.

show abstract

Section: Introductionmentioning

confidence: 93%

Section: Symmetric Ebcs Including Inductances Connected In Parallel Tmentioning

confidence: 99%

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

Chikh-Bled

Kherraz

Sainidou

et al. 2019

Smart Mater. Struct.

View full text Add to dashboard Cite

show abstract

“…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]. Due to the connection of these band gaps to the complex impedance of the shunted circuits, these band gaps can be tuned with variable electrical elements such as resistors, capacitors, or inductors.…”

Section: Introductionmentioning

confidence: 97%

“…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%

Tunable piezoelectric metamaterial for Lamb waves using periodic shunted circuits

Schipf¹,

Guild²,

Sieck³

2022

Preprint

View full text Add to dashboard Cite

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.

show abstract

“…The band-gap and wave propagation characteristics of active metamaterial beams and plates consisting of homogeneous piezoelectric materials and periodic array of shunted electrodes were studied (Kherraz et al, 2018; Sugino et al, 2018). Moreover, the tunable phononic crystals were designed by combining a piezoceramic plate and periodic array of electrodes (Kherraz et al, 2019). It was found that the hybridization band-gaps in the sub-wavelength regime would be created due to the electromechanical coupling effects.…”

Section: Introductionmentioning

confidence: 99%

Active tuning of the vibration band gap characteristics of periodic laminated composite metamaterial beams

Ren

Liu

et al. 2020

Journal of Intelligent Material Systems and Structures

View full text Add to dashboard Cite

A novel strategy is proposed to investigate the vibration band-gap and active tuning characteristics of the laminated composite metamaterial beams. The piezoelectric actuator/sensor pairs are periodically placed along the laminated composite beam axis so that the vibration frequency band-gap and active tuning characteristics can be induced. The dynamic equations of the laminated composite metamaterial beams bonded by the piezoelectric actuator/sensor pairs are established based on the Euler–Bernoulli beam theory. The negative proportional feedback control strategy is employed to provide the positive active control stiffness for the piezoelectric actuator/sensor patches. The spectral element method is used to calculate the dynamic responses of the laminated composite metamaterial beams with the periodically placed piezoelectric patches, and the calculation accuracy for the dynamic responses is validated by the finite element method. The results demonstrating the high-performance vibration band-gap properties in the low-frequency ranges can be achieved by properly designing the sizes and the number of the piezoelectric patches. Moreover, the vibration band-gap characteristics, especially the band-gap width and the normalized band-gap width with respect to the considered excitation frequency range, can be significantly changed by tuning the structural parameters of the piezoelectric actuators and sensors. In addition, the cross-ply angle of the laminated composite metamaterial beams has significant influences on the band-gap characteristics and the vibration reduction performance of the laminated composite beam structures.

show abstract

Tunable phononic structures using Lamb waves in a piezoceramic plate

Cited by 31 publications

References 59 publications

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

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

Tunable piezoelectric metamaterial for Lamb waves using periodic shunted circuits

Active tuning of the vibration band gap characteristics of periodic laminated composite metamaterial beams

Contact Info

Product

Resources

About