Active control for acoustic wave propagation in nonlinear diatomic acoustic metamaterials

Chen, Zhenyu; Zhou, Weijian; Lim, C.W.

doi:10.1016/j.ijnonlinmec.2020.103535

Cited by 59 publications

(14 citation statements)

References 39 publications

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“…The finite element analysis method (FEM) is a recent, effective, and convenient way to verify structural characteristics [13][14][15]. The large-scale application of finite element software has provided researchers with great convenience in terms of accurate calculation and time-saving.…”

Section: Transmittance Based On Finite Element Model 41 Transmittance With Linear Spring Constantmentioning

confidence: 99%

Wave Dispersion in One-Dimensional Nonlinear Local Resonance Phononic Crystals with Perturbation Method

Chen

Sun

et al. 2021

Crystals

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Nonlinear phononic crystals are receiving increasingly greater attention in the field of sound absorption and vibration reduction. In this paper, we use the perturbation method to investigate elastic wave propagation in one-dimensional discrete local resonance nonlinear phononic crystals. The nonlinear force on the inner resonator is expressed in the form of a linear part plus a cubic nonlinear fluctuation. By combining Bloch wave theory and the perturbation method, the nonlinear dispersion relation is obtained by a first-order approximate analytical solution. The results show that the band’s cut-off frequency is not only affected by the degree of nonlinearity but is closely related to the wave amplitude. In addition, the finite element method is used for comparison and verification. Finally, an application example of a wave filter is provided based on the nonlinear characteristics.

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Section: Transmittance Based On Finite Element Model 41 Transmittance With Linear Spring Constantmentioning

confidence: 99%

Wave Dispersion in One-Dimensional Nonlinear Local Resonance Phononic Crystals with Perturbation Method

Chen

Sun

et al. 2021

Crystals

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“…The nonlinear metamaterials are the artificially periodic structures with nonlinear dynamic properties [35][36], such as nonlinear resonance, internal resonance, modal coupling, and chaos, which are expected to provide more control mechanisms for the nonlinear elastic wave. Currently, metamaterial nonlinearity is attracting increasing attention [28,[37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

Tunable Nonlinear Band Gaps in a Sandwich-Like Meta-Plate

Xue

Wang

et al. 2021

Preprint

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This paper aims to explore the actual working mechanism of sandwich-like meta-plates by periodically attaching nonlinear mass-beam-spring (MBS) resonators for low-frequency wave absorption. The nonlinear MBS resonator consists of a mass, a cantilever beam and a spring that can provide negative stiffness in the transverse vibration of the resonator, and its stiffness is tunable by changing the parameters of the spring. Considering the nonlinear stiffness of the resonator, the energy method is applied to obtain the dispersion relation of the sandwich-like meta-plate and the band-gap bounds related to the amplitude of resonator is derived by dispersion analysis. For the finite sized sandwich-like meta-plate with the fully free boundary condition subjected to external excitations, its dynamic equation is also established by the Galerkin method. The frequency response analysis of the meta-plate is carried out by the numerical simulation, whose band-gap range demonstrates good agreement with the theoretical one. Results show that the band-gap range of the present meta-plate is tunable by the design of the structural parameters of the MBS resonator. Furthermore, by analyzing the vibration suppression of the finite sized meta-plate, it can be observed that the nonlinearity of resonators can widen the wave attenuation range of meta-plate.

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“…An active piezoelectric spring chain is employed (Chen et al, 2020) to control the band behavior of a diatomic mass-in-mass. A new stop band is generated in the low-frequency range by using negative proportional control.…”

Section: Introductionmentioning

confidence: 99%

Ultra-wide bandgap in active metamaterial from feedback control

Bera

Banerjee

2021

Journal of Vibration and Control

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To widen the attenuation bandwidth in a mass-in-mass metamaterial chain, active feedback control is employed within the unit cell. The optimal control via Linear Quadratic Regulator is used to ensure the stability of the solution as well as adaptive tuning of the system. The key concept is to obtain a wider bandwidth by reducing the displacement amplitude of the outer mass of each unit of the metamaterial. Transmittance for finite number of units and dispersion diagram for infinitely long metamaterial chain are obtained using the backward-substitution method and Bloch–Floquet’s theorem, respectively. Results evidenced that an ultra-wide uninterrupted attenuation band starting from very low free wave frequency can be obtained. The dispersion diagram primarily depends on the frequency ratio of the resonating unit with the external main unit. The effect of the mass ratio is insignificant while active feedback control is implemented. This unique phenomenon implies that for a very low mass ratio also a wider bandwidth can be achieved. This enables to design a lightweight structure having wider bandwidth in low-frequency regime.

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Active control for acoustic wave propagation in nonlinear diatomic acoustic metamaterials

Cited by 59 publications

References 39 publications

Wave Dispersion in One-Dimensional Nonlinear Local Resonance Phononic Crystals with Perturbation Method

Wave Dispersion in One-Dimensional Nonlinear Local Resonance Phononic Crystals with Perturbation Method

Tunable Nonlinear Band Gaps in a Sandwich-Like Meta-Plate

Ultra-wide bandgap in active metamaterial from feedback control

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