Active Feedback Control on Sound Radiation of Elastic Wave Metamaterials
28 Aug 2019-AIAA Journal (American Institute of Aeronautics and Astronautics)-Vol. 57, Iss: 10, pp 4536-4547
TL;DR: In this paper, the effects of active feedback control on elastic wave metamaterials were studied and the effective mass density and sound radiation by a point force excitation was investigated.
Abstract: To show the effects of active feedback control on elastic wave metamaterials, this research is focused on effective mass density and sound radiation by a point force excitation. The expressions of ...
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TL;DR: In this paper, the effects of nonlinearity on the band properties of diatomic mass-in-mass chain with active control were investigated by applying the Lindestedt-Poincare (L-P) perturbation method.
Abstract: Wave propagation through nonlinear acoustic metamaterials has generated numerous scientific interests for their enormous potential in practical applications these years. This study focuses on the effects of nonlinearity on the band properties of diatomic mass-in-mass chain with active control. By applying the Lindestedt–Poincare (L–P) perturbation method, analytical dispersion relations of the linear and nonlinear diatomic mass-in-mass system have been established and investigated by numerical simulation. Different from the monatomic mass-in-mass chain, this two mass-in-mass units forming a unit cell of the periodic structure results in four branches of the dispersion relation. The effects of nonlinearity on the band gaps of the system have been exhaustively illustrated. By only tuning the nonlinear constitutive relation parameter of the spring, the fourth branch and the third gap are found to be more sensitive compared to the other branches and gaps. It is concluded that closing and re-opening of the band-folding-induced gap in this nonlinear system is still possible. Here, a piezoelectric spring model is applied to the diatomic mass-in-mass to make the system available for wider applications. With the negative proportional control, a new stop band is generated which can be also captured in the monatomic nonlinear system. The new results here will help better analyze the band gap properties in nonlinear mechanical metamaterials and emphasize the great potentials of the topological analysis of such a nonlinear local resonance system that induces band-folding-induced band gaps.
39 citations
TL;DR: In this article, the authors collected all of the existent papers in the field of acoustic transmission across multilayered plate constructions and proposed a comprehensive source consisting of approximately 410 papers.
Abstract: This study collects all of the existent papers in the field of acoustic transmission across multilayered plate constructions. Herewith, a comprehensive source is proposed wherein approximately 410 ...
39 citations
TL;DR: In this paper, a comprehensive investigation of bi-directional functionally graded sandwich plates using higher-order shear deformation theory and finite element method was performed for the first time.
Abstract: This paper introduces a comprehensive investigation of bi-directional functionally graded sandwich plates using higher-order shear deformation theory and finite element method for the first time. A...
18 citations
TL;DR: In this paper, the authors investigated viscoelastic metadamping in one-dimensional multibandgap metamaterials by combining the linear hereditary theory of visco-elasticity with the Floquet-Bloch theory of wave propagation in infinite elastic media.
Abstract:
Energy dissipation in polymeric composite metamaterials requires special mathematical models owing to the viscoelastic nature of their constituents, namely, the polymeric matrix, bonding agent, and local resonators. Unlike traditional composites, viscoelastic metamaterials possess a unique ability to exhibit strong wave attenuation while retaining high stiffness as a result of the “metadamping” phenomenon attributed to local resonances. The objective of this work is to investigate viscoelastic metadamping in one-dimensional multibandgap metamaterials by combining the linear hereditary theory of viscoelasticity with the Floquet-Bloch theory of wave propagation in infinite elastic media. Important distinctions between metamaterial and phononic unit cell models are explained based on the free wave approach with wavenumber-eliminated damping-frequency band structures. The developed model enables viscoelastic metadamping to be investigated by varying two independent relaxation parameters describing the viscoelasticity level in the host structure and the integrated resonators. The dispersion mechanics within high damping regimes and the effects of boundary conditions on the damped response are detailed. The results reveal that in a multiresonator cell, strategic damping placement in the individual resonators plays a profound role in shaping intermediate dispersion branches and dictating the primary and secondary frequency regions of interest, within which attenuation is most required.
18 citations
TL;DR: In this paper, the effect of the active feedback control system on the effective mass density and sound transmission in elastic wave metamaterials was investigated using the principle of virtual work.
15 citations
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TL;DR: In this article, the authors demonstrate the consequence of using different equivalent models to represent a lattice system consisting of mass-in-mass units and why negative mass is needed in the equivalent model.
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TL;DR: In this paper, the authors study the propagation of flexural waves in a locally resonant (LR) thin plate made of a two-dimensional periodic array of spring-mass resonators attached on a thin homogeneous plate.
Abstract: The authors study the propagation of flexural waves in a locally resonant (LR) thin plate made of a two-dimensional periodic array of spring–mass resonators attached on a thin homogeneous plate. The well-known plane wave expansion method is extended to deal with such a plate system with a periodic array of lumped resonant elements. Explicit matrix formulations are developed for the calculation of complex band structures, in which the imaginary parts of Bloch wave vectors are displayed to quantify the wave attenuation performance of band gaps. It is found that resonance-type and Bragg-type band gaps coexist in the LR plate, and the bandwidth of these gaps can be dramatically affected by the resonant frequency of local resonators. In particular, a super-wide pseudo-directional gap can be formed by a combination of the resonance gap and Bragg gap; inside such a pseudo-gap, only a very narrow pass band exists. An explicit formula is further developed to facilitate the design of such a pseudo-gap. Finally, vibration transmission in finite LR plates is calculated using the finite element method. Vibration transmission gaps are observed, and the results are in good agreement with the band gap properties predicted by the complex band structures.
320 citations
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TL;DR: In this paper, sound transmission loss of metamaterial-based thin plates consisting of multiple subwavelength arrays of spring-mass resonators attached to an unbounded homogenous thin plate was investigated.
198 citations