Resonance gaps and slow sound in three-dimensional phononic crystals: Rod-in-a-box paradigm

Yip, Kenny L. S.; John, Sajeev

doi:10.1103/physrevb.107.l060306

Cited by 2 publications

(4 citation statements)

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“…Future work may focus on numerically stable and accurate implementation of time-domain simulations for elastic and viscoelastic composites involving large contrasts in material parameters. One possibility is to model resonators as rigid bodies with frequency-dependent, effective masses and moments of inertia 13 , 14 , 16 , 17 . Another possibility is employing an adaptive mesh, which is denser in foam with low speeds of sound, and coarse in stiff solids with high speeds of sound.…”

Section: Discussionmentioning

confidence: 99%

“…It is anticipated that three-dimensional, locally resonant phononic crystals may exhibit an even broader bandwidth of audible sound control. For example, a body-centered cubic crystal of local resonators exhibits dual audible-range band gaps over a frequency range from 600 to 13 , 14 . The design of waveguide channels in a three-dimensional phononic crystal cladding may provide unprecedented, real-world, opportunities for audible sound control at will.…”

Section: Discussionmentioning

confidence: 99%

“…Rapid and accurate fabrication of phononic crystals through recent advances in additive manufacturing has provided the next step forward 7 – 12 . Phononic crystals, consisting of three-dimensional lattices of centimeter-sized local resonators, can exhibit dual phononic band gaps, extending over a frequency range from 200 to 13 , 14 . Here, dual phononic band gaps, consisting of separate local resonance and Bragg gaps, can block the transmission of sound through wave-interference effects.…”

Section: Introductionmentioning

confidence: 99%

“…Locally resonant phononic crystals, consisting of an acoustically connected array of such local resonators, typically exhibit two disjoint band gaps, namely a local resonance gap and a Bragg gap. The local resonance gap occurs when the effective mass and moment of inertia of the local resonators are simultaneously negative 13,14,16,17 . On the other hand, the Bragg gap arises from the macroscopic, destructive interference of waves scattered from the lattice.We illustrate, in two-dimensional examples, that frequency-selective cavity and waveguide modes can be created, respectively, by a point and a line defect in the otherwise periodic lattice.…”

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confidence: 99%

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Sound trapping and waveguiding in locally resonant viscoelastic phononic crystals

Yip,

John

2023

Sci Rep

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We describe the trapping and absorption of audible sound in centimeter-scale claddings of two-dimensional, locally resonant phononic crystals. In a square lattice of local resonators consisting of steel cores and cellulose shells, embedded in a viscous foam, dual acoustic-range band gaps extending from about 200 to $$2850 \text { Hz}$$ 2850 Hz are achieved. The spectral range consists of a low-frequency, local resonance gap, separated from a higher frequency Bragg resonance gap, by narrow bands of slow-sound modes. We demonstrate that thin claddings of such phononic crystal, of only three unit cells in thickness, can effectively prevent sound transmission, by a combination of reflection and absorption, over much of the audible spectrum. Moreover, frequency-selective sound transmission can be enabled by engineering waveguide channels that transmit sound through the local resonance gap, the Bragg gap, or both. This offers a path to sound-sculpting claddings that can surround a noise-generating source. The viscoelastic foam in our cladding is treated using a fractional Voigt model, capable of describing experimentally observed responses.

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