Effects of Microcavity Local Resonators on the Bandgap Characteristics of a Two-Dimensional Phononic Crystal Structure

Randy Amuaku; Wen Huabing; Eric Amoah Asante; Augustus Buckman

doi:doi:10.11648/j.aas.20190405.11

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Effects of Microcavity Local Resonators on the Bandgap Characteristics of a Two-Dimensional Phononic Crystal Structure

Randy Amuaku, Wen Huabing, Eric Amoah Asante, Augustus Buckman

Published in Advances in Applied Sciences (Volume 4, Issue 5)

Received: 5 October 2019 Accepted: 25 October 2019 Published: 8 November 2019

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Abstract

The emergence of acoustic metamaterials generated a lot of attention in the study of low-frequency vibration, noise control and reduction in engineering applications. As a result, the elastic wave bandgap characteristics of a two-dimensional microcavity local resonator structure for two soft rubber materials was investigated using finite element methods (FEM). The transmission spectrum of the displacement eigenmodes of the bandgap edges relating to the lowest bandgap was calculated. The results showed that the phononic crystal structure without a microcavity local resonator plate has bandgap characteristics of elastic wave propagation in the high-frequency range between 2200~2400Hz. However, with the introduction of microcavity resonator plates in the phononic crystal structure low-frequency bandgaps are obtained in the region of 0~198Hz and 0~200Hz respectively. The low-frequency bandgaps appeared as a result of the microcavity local resonator plate which increased the path length through which the wave is transmitted. The phononic crystal microcavity local resonator plate structure has varying transmission loss characteristics of -65dB, -85dB, -100dB and -150dB in the low-frequency range depending on the number of local resonator plates introduced into the cell structure and density of the cell structure. The study provided a good demonstration of wave propagation in artificially engineered materials with critical emphasis on the effects of local resonators in a microcavity structure.

Published in	Advances in Applied Sciences (Volume 4, Issue 5)
DOI	10.11648/j.aas.20190405.11
Page(s)	97-103
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2019. Published by Science Publishing Group

Keywords

Bandgap Characteristics (BGs), Microcavity Phononic Crystal (MPCs), Finite Element Method (FEM), Perfectly Matched Layer (PML), Local Resonator Plate Structure (LRPS)

References

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APA Style

Randy Amuaku, Wen Huabing, Eric Amoah Asante, Augustus Buckman. (2019). Effects of Microcavity Local Resonators on the Bandgap Characteristics of a Two-Dimensional Phononic Crystal Structure. Advances in Applied Sciences, 4(5), 97-103. https://doi.org/10.11648/j.aas.20190405.11

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ACS Style

Randy Amuaku; Wen Huabing; Eric Amoah Asante; Augustus Buckman. Effects of Microcavity Local Resonators on the Bandgap Characteristics of a Two-Dimensional Phononic Crystal Structure. Adv. Appl. Sci. 2019, 4(5), 97-103. doi: 10.11648/j.aas.20190405.11

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AMA Style

Randy Amuaku, Wen Huabing, Eric Amoah Asante, Augustus Buckman. Effects of Microcavity Local Resonators on the Bandgap Characteristics of a Two-Dimensional Phononic Crystal Structure. Adv Appl Sci. 2019;4(5):97-103. doi: 10.11648/j.aas.20190405.11

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@article{10.11648/j.aas.20190405.11,
  author = {Randy Amuaku and Wen Huabing and Eric Amoah Asante and Augustus Buckman},
  title = {Effects of Microcavity Local Resonators on the Bandgap Characteristics of a Two-Dimensional Phononic Crystal Structure},
  journal = {Advances in Applied Sciences},
  volume = {4},
  number = {5},
  pages = {97-103},
  doi = {10.11648/j.aas.20190405.11},
  url = {https://doi.org/10.11648/j.aas.20190405.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.aas.20190405.11},
  abstract = {The emergence of acoustic metamaterials generated a lot of attention in the study of low-frequency vibration, noise control and reduction in engineering applications. As a result, the elastic wave bandgap characteristics of a two-dimensional microcavity local resonator structure for two soft rubber materials was investigated using finite element methods (FEM). The transmission spectrum of the displacement eigenmodes of the bandgap edges relating to the lowest bandgap was calculated. The results showed that the phononic crystal structure without a microcavity local resonator plate has bandgap characteristics of elastic wave propagation in the high-frequency range between 2200~2400Hz. However, with the introduction of microcavity resonator plates in the phononic crystal structure low-frequency bandgaps are obtained in the region of 0~198Hz and 0~200Hz respectively. The low-frequency bandgaps appeared as a result of the microcavity local resonator plate which increased the path length through which the wave is transmitted. The phononic crystal microcavity local resonator plate structure has varying transmission loss characteristics of -65dB, -85dB, -100dB and -150dB in the low-frequency range depending on the number of local resonator plates introduced into the cell structure and density of the cell structure. The study provided a good demonstration of wave propagation in artificially engineered materials with critical emphasis on the effects of local resonators in a microcavity structure.},
 year = {2019}
}

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TY  - JOUR
T1  - Effects of Microcavity Local Resonators on the Bandgap Characteristics of a Two-Dimensional Phononic Crystal Structure
AU  - Randy Amuaku
AU  - Wen Huabing
AU  - Eric Amoah Asante
AU  - Augustus Buckman
Y1  - 2019/11/08
PY  - 2019
N1  - https://doi.org/10.11648/j.aas.20190405.11
DO  - 10.11648/j.aas.20190405.11
T2  - Advances in Applied Sciences
JF  - Advances in Applied Sciences
JO  - Advances in Applied Sciences
SP  - 97
EP  - 103
PB  - Science Publishing Group
SN  - 2575-1514
UR  - https://doi.org/10.11648/j.aas.20190405.11
AB  - The emergence of acoustic metamaterials generated a lot of attention in the study of low-frequency vibration, noise control and reduction in engineering applications. As a result, the elastic wave bandgap characteristics of a two-dimensional microcavity local resonator structure for two soft rubber materials was investigated using finite element methods (FEM). The transmission spectrum of the displacement eigenmodes of the bandgap edges relating to the lowest bandgap was calculated. The results showed that the phononic crystal structure without a microcavity local resonator plate has bandgap characteristics of elastic wave propagation in the high-frequency range between 2200~2400Hz. However, with the introduction of microcavity resonator plates in the phononic crystal structure low-frequency bandgaps are obtained in the region of 0~198Hz and 0~200Hz respectively. The low-frequency bandgaps appeared as a result of the microcavity local resonator plate which increased the path length through which the wave is transmitted. The phononic crystal microcavity local resonator plate structure has varying transmission loss characteristics of -65dB, -85dB, -100dB and -150dB in the low-frequency range depending on the number of local resonator plates introduced into the cell structure and density of the cell structure. The study provided a good demonstration of wave propagation in artificially engineered materials with critical emphasis on the effects of local resonators in a microcavity structure.
VL  - 4
IS  - 5
ER  -

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Author Information

Randy Amuaku

Koforidua Technical University, Faculty of Engineering, Koforidua, Ghana
Wen Huabing

Jiangsu University of Science and Technology, School of Energy and Power, Zhenjiang, China
Eric Amoah Asante

Koforidua Technical University, Faculty of Engineering, Koforidua, Ghana
Augustus Buckman

Jiangsu University of Science and Technology, School of Energy and Power, Zhenjiang, China

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Plain Text BibTeX RIS

APA Style

Randy Amuaku, Wen Huabing, Eric Amoah Asante, Augustus Buckman. (2019). Effects of Microcavity Local Resonators on the Bandgap Characteristics of a Two-Dimensional Phononic Crystal Structure. Advances in Applied Sciences, 4(5), 97-103. https://doi.org/10.11648/j.aas.20190405.11

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ACS Style

Randy Amuaku; Wen Huabing; Eric Amoah Asante; Augustus Buckman. Effects of Microcavity Local Resonators on the Bandgap Characteristics of a Two-Dimensional Phononic Crystal Structure. Adv. Appl. Sci. 2019, 4(5), 97-103. doi: 10.11648/j.aas.20190405.11

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AMA Style

Randy Amuaku, Wen Huabing, Eric Amoah Asante, Augustus Buckman. Effects of Microcavity Local Resonators on the Bandgap Characteristics of a Two-Dimensional Phononic Crystal Structure. Adv Appl Sci. 2019;4(5):97-103. doi: 10.11648/j.aas.20190405.11

Copy | Download

@article{10.11648/j.aas.20190405.11,
  author = {Randy Amuaku and Wen Huabing and Eric Amoah Asante and Augustus Buckman},
  title = {Effects of Microcavity Local Resonators on the Bandgap Characteristics of a Two-Dimensional Phononic Crystal Structure},
  journal = {Advances in Applied Sciences},
  volume = {4},
  number = {5},
  pages = {97-103},
  doi = {10.11648/j.aas.20190405.11},
  url = {https://doi.org/10.11648/j.aas.20190405.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.aas.20190405.11},
  abstract = {The emergence of acoustic metamaterials generated a lot of attention in the study of low-frequency vibration, noise control and reduction in engineering applications. As a result, the elastic wave bandgap characteristics of a two-dimensional microcavity local resonator structure for two soft rubber materials was investigated using finite element methods (FEM). The transmission spectrum of the displacement eigenmodes of the bandgap edges relating to the lowest bandgap was calculated. The results showed that the phononic crystal structure without a microcavity local resonator plate has bandgap characteristics of elastic wave propagation in the high-frequency range between 2200~2400Hz. However, with the introduction of microcavity resonator plates in the phononic crystal structure low-frequency bandgaps are obtained in the region of 0~198Hz and 0~200Hz respectively. The low-frequency bandgaps appeared as a result of the microcavity local resonator plate which increased the path length through which the wave is transmitted. The phononic crystal microcavity local resonator plate structure has varying transmission loss characteristics of -65dB, -85dB, -100dB and -150dB in the low-frequency range depending on the number of local resonator plates introduced into the cell structure and density of the cell structure. The study provided a good demonstration of wave propagation in artificially engineered materials with critical emphasis on the effects of local resonators in a microcavity structure.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - Effects of Microcavity Local Resonators on the Bandgap Characteristics of a Two-Dimensional Phononic Crystal Structure
AU  - Randy Amuaku
AU  - Wen Huabing
AU  - Eric Amoah Asante
AU  - Augustus Buckman
Y1  - 2019/11/08
PY  - 2019
N1  - https://doi.org/10.11648/j.aas.20190405.11
DO  - 10.11648/j.aas.20190405.11
T2  - Advances in Applied Sciences
JF  - Advances in Applied Sciences
JO  - Advances in Applied Sciences
SP  - 97
EP  - 103
PB  - Science Publishing Group
SN  - 2575-1514
UR  - https://doi.org/10.11648/j.aas.20190405.11
AB  - The emergence of acoustic metamaterials generated a lot of attention in the study of low-frequency vibration, noise control and reduction in engineering applications. As a result, the elastic wave bandgap characteristics of a two-dimensional microcavity local resonator structure for two soft rubber materials was investigated using finite element methods (FEM). The transmission spectrum of the displacement eigenmodes of the bandgap edges relating to the lowest bandgap was calculated. The results showed that the phononic crystal structure without a microcavity local resonator plate has bandgap characteristics of elastic wave propagation in the high-frequency range between 2200~2400Hz. However, with the introduction of microcavity resonator plates in the phononic crystal structure low-frequency bandgaps are obtained in the region of 0~198Hz and 0~200Hz respectively. The low-frequency bandgaps appeared as a result of the microcavity local resonator plate which increased the path length through which the wave is transmitted. The phononic crystal microcavity local resonator plate structure has varying transmission loss characteristics of -65dB, -85dB, -100dB and -150dB in the low-frequency range depending on the number of local resonator plates introduced into the cell structure and density of the cell structure. The study provided a good demonstration of wave propagation in artificially engineered materials with critical emphasis on the effects of local resonators in a microcavity structure.
VL  - 4
IS  - 5
ER  -

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