Propagation of acoustic waves and waveguiding in a two-dimensional locally resonant phononic crystal plate

Oudich, Mourad; Assouar, Badreddine; Hou, Zhipeng

doi:10.1063/1.3513218

Cited by 168 publications

(72 citation statements)

References 20 publications

(16 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The additional band gap was due to the local resonance of the crystals in a host structure and it does not depends on the periodicity of the crystals [9]. The sonic crystals exhibits this phenomena at the wavelengths, one order smaller than their characteristic size of the lattice cell [9,[14][15][16][17].…”

Section: Introductionmentioning

confidence: 95%

Spiral Lamb Waveguide for Spatial Filtration of Frequencies in a Confined Space

et al. 2015

View full text Add to dashboard Cite

Objective of this paper is to present a predictive design of a mechanical filter which is capable of filtering frequencies along a waveguide. A mathematical design procedure is described to filter Lamb wave frequencies in a confined space. Complementary to the existing idea of wave guiding in a plate within an absolute band gap created by a 2D array of phononic crystals, the proposed acoustic metamaterial has a capability of wave guiding using a single but continuous array of crystals in a confined space. Further through fabrication, experiments and numerical modeling, sequential filtration of a frequency band is demonstrated. A conceptual design of a selective pass band filter (i.e., a mechanical pass band filter) is achieved by enhancing the phenomenon of steering, guiding and confinement of the Lamb waves inside a proposed waveguide, fabricated by spirally arranging a number of cylindrical quartz crystals, bonded on an aluminum plate. Experimentally Lamb waves were excited by a PZT transducer inside the spiral waveguide using a wideband chirp signal and the out-of-plane wave motion was recorded using a one dimensional scanning laser Doppler vibrometer (SLDV). The propagation within the waveguide was evaluated in time, frequency and wave number domains. By analyzing the equifrequency contours and the transmission spectra inside the waveguide, the study demonstrate that the frequency based Lamb wave sensing and spectral separation of different frequencies are mechanically enhanced. Frequency based sensing capabilities of the waveguide depends on the geometrical location of the wave front inside the waveguide, which is a function of spatially varying radius and phase rotation due to the spiral geometry.

show abstract

Section: Introductionmentioning

confidence: 95%

Spiral Lamb Waveguide for Spatial Filtration of Frequencies in a Confined Space

et al. 2015

View full text Add to dashboard Cite

show abstract

“…By using a LR stubbed microstructural design similar to those discussed in Section 3.2, Oudich et al [49] constructed an LR PC plate to present an analysis of the Lamb waves in both straight and bending waveguides. First, a straight waveguide was created by removing three rows of the LR stubs in the Lamb wave propagation direction (ΓX direction).…”

Section: Waveguide Of Lamb Wavesmentioning

confidence: 99%

Microstructural designs of plate-type elastic metamaterial and their potential applications: a review

Zhu

Liu

et al. 2015

International Journal of Smart and Nano Materials

View full text Add to dashboard Cite

Elastic metamaterials are of growing interest due to their unique effective properties and wave manipulation abilities. Unlike phononic crystals based on the Bragg scattering mechanism, elastic metamaterials (EMMs) are based on the locally resonant (LR) mechanism and can fully control elastic waves at a subwavelength scale. Microstructural designs of EMMs in plate-like structures have attracted a great deal of attention. In this paper, the recent advances in the microstructural designs of LRbased EMM plates are reviewed. Their potential applications in the fields of low frequency guided wave attenuation, wave manipulation and energy trapping at a subwavelength scale, and structural health monitoring are discussed.Keywords: metamaterial; composite; structural dynamics; nondestructive evaluation; structural health monitoring IntroductionThe research on metamaterials has grasped a lot of attentions recently. With artificially designed microstructures, metamaterial has the ability to achieve bizarre but very useful dynamic material properties. Initially, the strangeness of metamaterial was discovered when researchers investigated its effective electromagnetic (EM) properties at certain frequency ranges where the EM metamaterial behaves as if it has negative permittivity [1] and/or negative permeability [2]. Later on, similar unnatural phenomena were found in acoustic metamaterials which have negative mass density (NMD) [3] and/or negative bulk modulus (NBM) [4]. Anisotropic mass density was also achieved in non-resonant acoustic metamaterials containing fluid components [5,6,7]. Unlike the essential similarity between the governing equations in EM metamaterials and those in acoustic metamaterials, applying the concept of metamaterial in solids is more complex [8]. This is mainly due to the inherent coupling between longitudinal and shear wave modes and wave mode conversion. However, driven by the curiosity as well as the promising applications in mechanical and aerospace engineering, researchers have become more and more interested in the abnormal effective material properties of elastic metamaterials (EMMs). Many EMM-based devices have been proposed for promising applications with elastic wave controls and manipulations such as: elastic wave flat-lens focusing [9], EMM waveguides [10], EMM cloaking [11], and sub-wavelength imaging [12].

show abstract

“…The periodic arrangement of small-scale building blocks results in acoustic or mechanical metamaterials [1], which have attracted great attention because of their extremely rich field of applications including acoustic wave guides and filters [2,3], acoustic lenses and diodes [4,5], sound isolators and sensors [6,7], and acoustic cloaks and sonar stealth technologies [8,9]. Design strategies commonly exploit the scattering of elastic waves in periodic media at characteristic frequencies in all or specific directions [10][11][12] as well as resonant phenomena capable of absorbing energy on lower scales by local resonators [5,13,14].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of periodic mechanical structures containing bistable elastic elements: From elastic to solitary wave propagation

2014

View full text Add to dashboard Cite

We investigate the nonlinear dynamics of a periodic chain of bistable elements consisting of masses connected by elastic springs whose constraint arrangement gives rise to a large-deformation snap-through instability. We show that the resulting negative-stiffness effect produces three different regimes of (linear and nonlinear) wave propagation in the periodic medium, depending on the wave amplitude. At small amplitudes, linear elastic waves experience dispersion that is controllable by the geometry and by the level of precompression. At moderate to large amplitudes, solitary waves arise in the weakly and strongly nonlinear regime. For each case, we present closed-form analytical solutions and we confirm our theoretical findings by specific numerical examples. The precompression reveals a class of wave propagation for a partially positive and negative potential. The presented results highlight opportunities in the design of mechanical metamaterials based on negative-stiffness elements, which go beyond current concepts primarily based on linear elastic wave propagation. Our findings shed light on the rich effective dynamics achievable by nonlinear small-scale instabilities in solids and structures.

show abstract

Propagation of acoustic waves and waveguiding in a two-dimensional locally resonant phononic crystal plate

Abstract: Surface acoustic wave band gaps in a diamond-based two-dimensional locally resonant phononic crystal for high frequency applications

Cited by 168 publications

References 20 publications

Spiral Lamb Waveguide for Spatial Filtration of Frequencies in a Confined Space

Spiral Lamb Waveguide for Spatial Filtration of Frequencies in a Confined Space

Microstructural designs of plate-type elastic metamaterial and their potential applications: a review

Dynamics of periodic mechanical structures containing bistable elastic elements: From elastic to solitary wave propagation

Contact Info

Product

Resources

About