Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2020-2pp.292-300

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Ahmed Nagaty, Ahmed Mehaney, and Arafa H. Aly, "Evolution of Low-Frequency Band Gaps Using X-Shapes and Single-Sided Stubbed Phononic Crystals," Mech. Solids. 55 (2), 292-300 (2020)
Year 2020 Volume 55 Number 2 Pages 292-300
DOI 10.3103/S0025654420020028
Title Evolution of Low-Frequency Band Gaps Using X-Shapes and Single-Sided Stubbed Phononic Crystals
Author(s) Ahmed Nagaty (Physics Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt)
Ahmed Mehaney (Physics Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt, ahmed011236@science.bsu.edu.eg)
Arafa H. Aly (Physics Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt)
Abstract In this work, the evolution of dispersion relations of 2D asymmetric phononic crystals in the low-frequency range is introduced and discussed. Two phononic crystal structures are proposed and calculated using Finite Element method. The first one is a thin plate from PDMS with a circular one-side stubbed from tungsten and the other is a thin plate in the X-shape from rubber and tungsten. The effects of some parameters such as stub height and diameter on the phononic band gap value are studied. Low-frequency band gaps can be found in both structures with frequencies corresponding to the audible sound frequency range. The symmetry and shape of the stub has a remarkable influence on the band structures. Where, the proposed one-side stubbed exhibits a phononic band gap in a lower frequency range compared with the published studies about the double side stubbed. Furthermore, with the same thickness value the band gap value was reduced in the X-shape phononic stub compared with the one-side stubbed. These results may be useful for the low-frequency and noise suppression devices.
Keywords phononic crystals, stubs, phononic band gap, dispersion relations, x-shape, unit cell
Received 20 August 2019Revised 30 August 2019Accepted 18 September 2019
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