Three-dimensional nonreciprocal transmission in a layered nonlinear elastic wave metamaterial

Li, Zhen-Ni; Wang, Yi–Ze; Wang, Yue-Sheng

doi:10.1016/j.ijnonlinmec.2020.103531

Cited by 17 publications

(6 citation statements)

References 40 publications

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“…In recent years, the propagation of three-dimensional (3D) harmonic waves in layered structures have been reported [31][32][33][34] . In our previous work, the nonreciprocal transmission in 3D cases in a layered nonlinear elastic wave metamaterial was discussed [35] . Moreover, some studies have indicated that the effects of the external initial stresses on the band gap are significant [36][37][38] .…”

Section: Introductionmentioning

confidence: 99%

Tunable three-dimensional nonreciprocal transmission in a layered nonlinear elastic wave metamaterial by initial stresses

Wang

2022

Appl. Math. Mech.-Engl. Ed.

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In this work, the three-dimensional (3D) propagation behaviors in the nonlinear phononic crystal and elastic wave metamaterial with initial stresses are investigated. The analytical solutions of the fundamental wave and second harmonic with the quasi-longitudinal (qP) and quasi-shear (qS1 and qS2) modes are derived. Based on the transfer and stiffness matrices, band gaps with initial stresses are obtained by the Bloch theorem. The transmission coefficients are calculated to support the band gap property, and the tunability of the nonreciprocal transmission by the initial stress is discussed. This work is expected to provide a way to tune the nonreciprocal transmission with vector characteristics.

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Section: Introductionmentioning

confidence: 99%

Tunable three-dimensional nonreciprocal transmission in a layered nonlinear elastic wave metamaterial by initial stresses

Wang

2022

Appl. Math. Mech.-Engl. Ed.

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“…Since ultrasound is widely used in biomedical imaging and non-destructive diagnostics, recently, the concept of acoustic diodes has raised interest among researchers in physics and engineering. One way to get directional acoustic wave propagation in a waveguide, is to use nonlinear materials to break the reciprocity in the transmission (Liang et al 2009(Liang et al , 2010Popa and Cummer 2014;Grinberg et al 2018;Darabi et al 2019;Li et al 2019Li et al , 2020. This method, however, suffers from low efficiency due to considerable losses in the nonlinear conversion (Chen et al 2017;Song et al 2016).…”

Section: Introductionmentioning

confidence: 99%

Topology optimization of an acoustic diode?

Bokhari

Mousavi

Niu

et al. 2021

Struct Multidisc Optim

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By using topology optimization, we consider the problem of designing a passive acoustic device that allows for one-way flow of sound waves; such a device is often colloquially referred to as an acoustic diode. The Helmholtz equation is used to model the time harmonic linear wave propagation together with a Dirichlet-to-Neumann (DtN) type boundary condition, and the finite element method is used for discretization. The objective of this study is to maximize the wave propagation in one direction (from left to right) and minimize the wave propagation in the reverse direction (from right to left) for planar incoming waves. The method of moving asymptotes (MMA) solves the optimization problem, and a continuation approach is used for the penalizing intermediate design variables. The results for the optimized waveguide show that more than 99.8% of the power of planar incoming waves get transmitted from left to right while less than 0.3% gets transmitted in the reverse direction for planar incoming waves in the specified frequency range. Since a true diode is a non-reciprocal device and here we used a linear acoustic wave model, which is basically reciprocal, we discuss details about how it appears to be possible to obtain a one-way waveguiding effect using this linear model.

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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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Three-dimensional nonreciprocal transmission in a layered nonlinear elastic wave metamaterial

Cited by 17 publications

References 40 publications

Tunable three-dimensional nonreciprocal transmission in a layered nonlinear elastic wave metamaterial by initial stresses

Tunable three-dimensional nonreciprocal transmission in a layered nonlinear elastic wave metamaterial by initial stresses

Topology optimization of an acoustic diode?

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

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