Optimal Design of Acoustic Metamaterial of Multiple Parallel Hexagonal Helmholtz Resonators by Combination of Finite Element Simulation and Cuckoo Search Algorithm

To achieve the broadband sound absorption at low frequencies within a limited space, an optimal design of joint simulation method incorporating the finite element simulation and cuckoo search algorithm was proposed. An acoustic metamaterial of multiple parallel hexagonal Helmholtz resonators with su...

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Main Authors: Fei Yang, Enshuai Wang, Xinmin Shen, Xiaonan Zhang, Qin Yin, Xinqing Wang, Xiaocui Yang, Cheng Shen, Wenqiang Peng
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/15/18/6450
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author Fei Yang
Enshuai Wang
Xinmin Shen
Xiaonan Zhang
Qin Yin
Xinqing Wang
Xiaocui Yang
Cheng Shen
Wenqiang Peng
author_facet Fei Yang
Enshuai Wang
Xinmin Shen
Xiaonan Zhang
Qin Yin
Xinqing Wang
Xiaocui Yang
Cheng Shen
Wenqiang Peng
author_sort Fei Yang
collection DOAJ
description To achieve the broadband sound absorption at low frequencies within a limited space, an optimal design of joint simulation method incorporating the finite element simulation and cuckoo search algorithm was proposed. An acoustic metamaterial of multiple parallel hexagonal Helmholtz resonators with sub-wavelength dimensions was designed and optimized in this research. First, the initial geometric parameters of the investigated acoustic metamaterials were confirmed according to the actual noise reduction requirements to reduce the optimization burden and improve the optimization efficiency. Then, the acoustic metamaterial with the various depths of the necks was optimized by the joint simulation method, which combined the finite element simulation and the cuckoo search algorithm. The experimental sample was prepared using the 3D printer according to the obtained optimal parameters. The simulation results and experimental results exhibited excellent consistency. Compared with the derived sound absorption coefficients by theoretical modeling, those achieved in the finite element simulation were closer to the experimental results, which also verified the accuracy of this optimal design method. The results proved that the optimal design method was applicable to the achievement of broadband sound absorption with different low frequency ranges, which provided a novel method for the development and application of acoustic metamaterials.
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spelling doaj.art-8d59bd5365f3479092d2db81c4e88c002023-11-23T17:33:50ZengMDPI AGMaterials1996-19442022-09-011518645010.3390/ma15186450Optimal Design of Acoustic Metamaterial of Multiple Parallel Hexagonal Helmholtz Resonators by Combination of Finite Element Simulation and Cuckoo Search AlgorithmFei Yang0Enshuai Wang1Xinmin Shen2Xiaonan Zhang3Qin Yin4Xinqing Wang5Xiaocui Yang6Cheng Shen7Wenqiang Peng8College of Field Engineering, Army Engineering University of PLA, Nanjing 210007, ChinaCollege of Field Engineering, Army Engineering University of PLA, Nanjing 210007, ChinaCollege of Field Engineering, Army Engineering University of PLA, Nanjing 210007, ChinaCollege of Field Engineering, Army Engineering University of PLA, Nanjing 210007, ChinaCollege of Field Engineering, Army Engineering University of PLA, Nanjing 210007, ChinaCollege of Field Engineering, Army Engineering University of PLA, Nanjing 210007, ChinaEngineering Training Center, Nanjing Vocational University of Industry Technology, Nanjing 210023, ChinaMIIT Key Laboratory of Multifunctional Lightweight Materials and Structures (MLMS), Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaCollege of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, ChinaTo achieve the broadband sound absorption at low frequencies within a limited space, an optimal design of joint simulation method incorporating the finite element simulation and cuckoo search algorithm was proposed. An acoustic metamaterial of multiple parallel hexagonal Helmholtz resonators with sub-wavelength dimensions was designed and optimized in this research. First, the initial geometric parameters of the investigated acoustic metamaterials were confirmed according to the actual noise reduction requirements to reduce the optimization burden and improve the optimization efficiency. Then, the acoustic metamaterial with the various depths of the necks was optimized by the joint simulation method, which combined the finite element simulation and the cuckoo search algorithm. The experimental sample was prepared using the 3D printer according to the obtained optimal parameters. The simulation results and experimental results exhibited excellent consistency. Compared with the derived sound absorption coefficients by theoretical modeling, those achieved in the finite element simulation were closer to the experimental results, which also verified the accuracy of this optimal design method. The results proved that the optimal design method was applicable to the achievement of broadband sound absorption with different low frequency ranges, which provided a novel method for the development and application of acoustic metamaterials.https://www.mdpi.com/1996-1944/15/18/6450broadband sound absorptionoptimal designacoustic metamaterialhexagonal Helmholtz resonatorsjoint simulation methodfinite element simulation
spellingShingle Fei Yang
Enshuai Wang
Xinmin Shen
Xiaonan Zhang
Qin Yin
Xinqing Wang
Xiaocui Yang
Cheng Shen
Wenqiang Peng
Optimal Design of Acoustic Metamaterial of Multiple Parallel Hexagonal Helmholtz Resonators by Combination of Finite Element Simulation and Cuckoo Search Algorithm
Materials
broadband sound absorption
optimal design
acoustic metamaterial
hexagonal Helmholtz resonators
joint simulation method
finite element simulation
title Optimal Design of Acoustic Metamaterial of Multiple Parallel Hexagonal Helmholtz Resonators by Combination of Finite Element Simulation and Cuckoo Search Algorithm
title_full Optimal Design of Acoustic Metamaterial of Multiple Parallel Hexagonal Helmholtz Resonators by Combination of Finite Element Simulation and Cuckoo Search Algorithm
title_fullStr Optimal Design of Acoustic Metamaterial of Multiple Parallel Hexagonal Helmholtz Resonators by Combination of Finite Element Simulation and Cuckoo Search Algorithm
title_full_unstemmed Optimal Design of Acoustic Metamaterial of Multiple Parallel Hexagonal Helmholtz Resonators by Combination of Finite Element Simulation and Cuckoo Search Algorithm
title_short Optimal Design of Acoustic Metamaterial of Multiple Parallel Hexagonal Helmholtz Resonators by Combination of Finite Element Simulation and Cuckoo Search Algorithm
title_sort optimal design of acoustic metamaterial of multiple parallel hexagonal helmholtz resonators by combination of finite element simulation and cuckoo search algorithm
topic broadband sound absorption
optimal design
acoustic metamaterial
hexagonal Helmholtz resonators
joint simulation method
finite element simulation
url https://www.mdpi.com/1996-1944/15/18/6450
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