Band GAP Frequency Response in Regular Phononic Crystals

Garus, S.; Szota, M.

doi:10.37358/rc.18.12.6752

Cited by 1 publication

(2 citation statements)

References 23 publications

(27 reference statements)

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“…The lowest bandgap of the F-RD lattice structure is between the 6 th and 7 th band, owing to the additional four modes of its unit cell resulting from small cavities. By considering one-dimensional periodic sinusoidal modulation, we can estimate the central frequency and the bandwidth of the Bragg bandgap, 41 as given by the following equationswhere f c is the central frequency of the Bragg bandgap and Δf is the bandwidth. By inputting the speed of sound of air c of 343 m/s and the unit cell size d of 0.3 m, the central frequency from periodic unit cells is 571 Hz, and its bandwidth is 172 Hz.…”

Section: Resultsmentioning

confidence: 99%

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Insights into acoustic properties of seven selected triply periodic minimal surfaces-based structures: A numerical study

Lu,

Silva,

Alzaabi

et al. 2023

Journal of Low Frequency Noise, Vibration and Active Control

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Poly(methyl methacrylate)-based triply periodic minimal surfaces (TPMS) structures promise great potential in phononic applications, but the complicated TPMS structure induces a design challenge for controlling their properties. Numerical acoustic simulations of seven major PMMA-based TPMS lattice structures are presented for low-frequency sound attenuation applications while varying their relative density. Except for the local resonances in primitive and Neovius-based lattice structures, the acoustic properties of other TPMS structures show a common Bragg bandgap with a central frequency of around 435 Hz and a bandwidth of around 286 Hz, which results from multiple scattering of periodic unit cells. In contrast, the acoustic bandgaps of primitive and Neovius-based lattices have much smaller and larger complete bandgaps, respectively, which are mainly attributed to the local resonances in their geometric cavities with different sizes. Thus, by taking the mechanism of generated bandgaps in the TPMS-based lattice structures into consideration, we can design suitable bandgaps for acoustic applications in the specific frequency range.

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Section: Resultsmentioning

confidence: 99%

Section: Fundingmentioning

confidence: 99%