Effects of geometric and material nonlinearities on tunable band gaps and low-frequency directionality of phononic crystals

Wang, Pai; Shim, Jongmin; Bertoldi, Katia

doi:10.1103/physrevb.88.014304

Cited by 165 publications

(109 citation statements)

References 28 publications

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“…However, it is important to note that all results presented in the paper are not affected by this specific choice of λ and that identical findings can be obtained for network of beams characterized by any value of λ > 10. To study the propagation of small amplitude elastic waves in such lattices, we perform frequency-domain wave propagation analysis 26,27 within the finite element (FE) framework using the commercial package Abaqus/Standard and Blochtype boundary conditions are applied to the edges of the unit cell. We then solve the frequency-domain wave equation for wave vectors in the Brillouin zone using a perturbation method 25 .…”

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confidence: 99%

Locally resonant band gaps in periodic beam lattices by tuning connectivity

et al. 2015

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confidence: 99%

Locally resonant band gaps in periodic beam lattices by tuning connectivity

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“…Pursuing these synergetic motifs for materials development [20][21][22][23], we investigate a different class of hierarchical organization based on two-dimensional (2D) honeycomblike structures primarily geared towards phononic applications (i.e., phononic crystals) and the effect of deformation on controlling their band gaps (defined as frequency ranges of strong wave attenuation). To this end, 2D lattices with different nonhierarchical topologies have been well investigated (no deformation included) [24][25][26].…”

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Honeycomb phononic crystals with self-similar hierarchy

et al. 2015

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We highlight the effect of structural hierarchy and deformation on band structure and wave-propagation behavior of two-dimensional phononic crystals. Our results show that the topological hierarchical architecture and instability-induced pattern transformations of the structure under compression can be effectively used to tune the band gaps and directionality of phononic crystals. The work provides insights into the role of structural organization and hierarchy in regulating the dynamic behavior of phononic crystals, and opportunities for developing tunable phononic devices.

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“…The relative shift of center frequency is calculated as the percentage of shift of the center frequency due to fluid-solid coupling related to the center frequency of the dry PC beam (i.e., in air). The relative size of the band gap, which can be an important design parameter of phononic crystals, is also calculated in Table 1 as the ratio between band-gap width and the corresponding center frequency [26,27],…”

Section: Experimental and Theoretical Validation And Discussionmentioning

confidence: 99%

“…For the first band gap, the relative size of the band gap f relative is larger in the presence of water for the band structure, SEM, FEM, and FBG experimental results. For many applications, the larger relative size of the band gap is preferable [26,27]. However, it is interesting to note that while decreasing the band-gap width and the center frequency, the relative size of the band gap also decreases for the second band gap when there is fluid-solid coupling.…”

Section: Experimental and Theoretical Validation And Discussionmentioning

confidence: 99%

Experimental and Theoretical Investigation of Lowering the Band Gaps of Phononic Crystal Beams through Fluid-Solid Coupling

et al. 2017

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Abstract:We experimentally and theoretically investigate the band-gap and transmission properties of phononic crystal (PC) beams immersed in water. Spectral element method (SEM) is developed for theoretical analysis in which the hydrodynamic loading is taken into consideration. Influence of the hydrodynamic loading on band-gap and transmission properties of the PC beams are studied. To directly detect the displacement transmission of a fully or partially submerged PC beam, a fiber Bragg grating (FBG) displacement sensing system is set up. Agreement between the experimental results and theoretical/numerical calculations also indicates the excellent dynamic sensing performance of the FBG sensing system in the research of the fluid-structure interaction (FSI) problem. Obvious lowering of the band gaps due to fluid-solid coupling is clearly demonstrated. The results in this work might be useful in research such as active tuning of the band gap and transmission properties of the PCs through fluid-solid coupling.

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Effects of geometric and material nonlinearities on tunable band gaps and low-frequency directionality of phononic crystals

Cited by 165 publications

References 28 publications

Locally resonant band gaps in periodic beam lattices by tuning connectivity

Locally resonant band gaps in periodic beam lattices by tuning connectivity

Honeycomb phononic crystals with self-similar hierarchy

Experimental and Theoretical Investigation of Lowering the Band Gaps of Phononic Crystal Beams through Fluid-Solid Coupling

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