Tunable characteristics of low-frequency bandgaps in two-dimensional multivibrator phononic crystal plates under prestrain

Abstract In view of the influence of variability of low-frequency noise frequency on noise prevention in real life, we present a novel two-dimensional tunable phononic crystal plate which is consisted of lead columns deposited in a silicone rubber plate with periodic holes and calculate its bandgap...

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Main Authors: Hai-Fei Zhu, Xiao-Wei Sun, Ting Song, Xiao-Dong Wen, Xi-Xuan Liu, Jin-Shan Feng, Zi-Jiang Liu
Format: Article
Language:English
Published: Nature Portfolio 2021-04-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-021-87904-6
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author Hai-Fei Zhu
Xiao-Wei Sun
Ting Song
Xiao-Dong Wen
Xi-Xuan Liu
Jin-Shan Feng
Zi-Jiang Liu
author_facet Hai-Fei Zhu
Xiao-Wei Sun
Ting Song
Xiao-Dong Wen
Xi-Xuan Liu
Jin-Shan Feng
Zi-Jiang Liu
author_sort Hai-Fei Zhu
collection DOAJ
description Abstract In view of the influence of variability of low-frequency noise frequency on noise prevention in real life, we present a novel two-dimensional tunable phononic crystal plate which is consisted of lead columns deposited in a silicone rubber plate with periodic holes and calculate its bandgap characteristics by finite element method. The low-frequency bandgap mechanism of the designed model is discussed simultaneously. Accordingly, the influence of geometric parameters of the phononic crystal plate on the bandgap characteristics is analyzed and the bandgap adjustability under prestretch strain is further studied. Results show that the new designed phononic crystal plate has lower bandgap starting frequency and wider bandwidth than the traditional single-sided structure, which is due to the coupling between the resonance mode of the scatterer and the long traveling wave in the matrix with the introduction of periodic holes. Applying prestretch strain to the matrix can realize active realtime control of low-frequency bandgap under slight deformation and broaden the low-frequency bandgap, which can be explained as the multiple bands tend to be flattened due to the localization degree of unit cell vibration increases with the rise of prestrain. The presented structure improves the realtime adjustability of sound isolation and vibration reduction frequency for phononic crystal in complex acoustic vibration environments.
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spelling doaj.art-002dfb68203542edbf179423750fd9092022-12-21T21:27:06ZengNature PortfolioScientific Reports2045-23222021-04-0111111210.1038/s41598-021-87904-6Tunable characteristics of low-frequency bandgaps in two-dimensional multivibrator phononic crystal plates under prestrainHai-Fei Zhu0Xiao-Wei Sun1Ting Song2Xiao-Dong Wen3Xi-Xuan Liu4Jin-Shan Feng5Zi-Jiang Liu6School of Mathematics and Physics, Lanzhou Jiaotong UniversitySchool of Mathematics and Physics, Lanzhou Jiaotong UniversitySchool of Mathematics and Physics, Lanzhou Jiaotong UniversitySchool of Mathematics and Physics, Lanzhou Jiaotong UniversitySchool of Mathematics and Physics, Lanzhou Jiaotong UniversitySchool of Mathematics and Physics, Lanzhou Jiaotong UniversitySchool of Mathematics and Physics, Lanzhou Jiaotong UniversityAbstract In view of the influence of variability of low-frequency noise frequency on noise prevention in real life, we present a novel two-dimensional tunable phononic crystal plate which is consisted of lead columns deposited in a silicone rubber plate with periodic holes and calculate its bandgap characteristics by finite element method. The low-frequency bandgap mechanism of the designed model is discussed simultaneously. Accordingly, the influence of geometric parameters of the phononic crystal plate on the bandgap characteristics is analyzed and the bandgap adjustability under prestretch strain is further studied. Results show that the new designed phononic crystal plate has lower bandgap starting frequency and wider bandwidth than the traditional single-sided structure, which is due to the coupling between the resonance mode of the scatterer and the long traveling wave in the matrix with the introduction of periodic holes. Applying prestretch strain to the matrix can realize active realtime control of low-frequency bandgap under slight deformation and broaden the low-frequency bandgap, which can be explained as the multiple bands tend to be flattened due to the localization degree of unit cell vibration increases with the rise of prestrain. The presented structure improves the realtime adjustability of sound isolation and vibration reduction frequency for phononic crystal in complex acoustic vibration environments.https://doi.org/10.1038/s41598-021-87904-6
spellingShingle Hai-Fei Zhu
Xiao-Wei Sun
Ting Song
Xiao-Dong Wen
Xi-Xuan Liu
Jin-Shan Feng
Zi-Jiang Liu
Tunable characteristics of low-frequency bandgaps in two-dimensional multivibrator phononic crystal plates under prestrain
Scientific Reports
title Tunable characteristics of low-frequency bandgaps in two-dimensional multivibrator phononic crystal plates under prestrain
title_full Tunable characteristics of low-frequency bandgaps in two-dimensional multivibrator phononic crystal plates under prestrain
title_fullStr Tunable characteristics of low-frequency bandgaps in two-dimensional multivibrator phononic crystal plates under prestrain
title_full_unstemmed Tunable characteristics of low-frequency bandgaps in two-dimensional multivibrator phononic crystal plates under prestrain
title_short Tunable characteristics of low-frequency bandgaps in two-dimensional multivibrator phononic crystal plates under prestrain
title_sort tunable characteristics of low frequency bandgaps in two dimensional multivibrator phononic crystal plates under prestrain
url https://doi.org/10.1038/s41598-021-87904-6
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