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Study on the band gap optimization and defect state of two-dimensional honeycomb phononic crystals

Published online by Cambridge University Press:  10 September 2020

Hanbo Shao
Affiliation:
State Key Laboratory of Mechanics and Control of Mechanical Structures, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Yudao Street No. 29, Nanjing, Jiangsu210016, China
Huan He*
Affiliation:
State Key Laboratory of Mechanics and Control of Mechanical Structures, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Yudao Street No. 29, Nanjing, Jiangsu210016, China
Cheng He
Affiliation:
Key Laboratory of Unmanned Aerial Vehicle Technology, Nanjing University of Aeronautics and Astronautics, Ministry of Industry and Information Technology, Nanjing210016, China
Guoping Chen
Affiliation:
State Key Laboratory of Mechanics and Control of Mechanical Structures, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Yudao Street No. 29, Nanjing, Jiangsu210016, China
*
a)Address all correspondence to this author. e-mail: hehuan@nuaa.edu.cn
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Abstract

Honeycomb phononic crystal can obtain wider band gaps in the low frequency based on local resonance theory. Its band structure can be adjustable if we change the height of the cores, which means different kinds of honeycomb phononic crystal can be selected on the basis of different damping demands. Meanwhile, the point defects and line defects affect the localized modes of sound waves and propagation characteristics, the dispersion relations and the displacement fields of the eigenmodes are calculated in the defected systems, as well as the propagation behaviors in the frequency ranges of the band structure, which are also discussed in detail. We constructed the model based on the periodic boundary condition and calculated the band structure according to Bloch theory, and also performed a series of simulation through the COMSOL software, showing that honeycomb has excellent features in reducing noise and vibration, which has a far-reaching influence in designing the new type of acoustic wave devices.

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Article
Copyright
Copyright © The Author(s), 2020, published on behalf of Materials Research Society by Cambridge University Press

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