Study on Low-Frequency Band Gap Characteristics of a New Helmholtz Type Phononic Crystal

被引:10
|
作者
Han, Dong-Hai [1 ]
Zhao, Jing-Bo [1 ]
Zhang, Guang-Jun [1 ]
Yao, Hong [1 ]
机构
[1] Air Force Engn Univ, Dept Basic Sci, Xian 710051, Shaanxi, Peoples R China
来源
SYMMETRY-BASEL | 2021年 / 13卷 / 08期
基金
中国国家自然科学基金;
关键词
Helmholtz cavity; phononic crystal; vibration and noise reduction; local resonance; wedge; RESONATOR; OPTIMIZATION;
D O I
10.3390/sym13081379
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In order to solve the problem of low-frequency noise of aircraft cabins, this paper presents a new Helmholtz type phononic crystal with a two-dimensional symmetric structure. Under the condition of the lattice constant of 62 mm, the lower limit of the first band gap is about 12 Hz, and the width is more than 10 Hz, thus the symmetric structure has distinct sound insulation ability in the low-frequency range. Firstly, the cause of the low-frequency band gap is analyzed by using the sound pressure field, and the range of band gaps is calculated by using the finite element method and the spring-oscillator model. Although the research shows that the finite element calculation results are basically consistent with the theoretical calculation, there are still some errors, and the reasons for the errors are analyzed. Secondly, the finite element method and equivalent model method are used to explore the influence of parameters of the symmetric structure on the first band gap. The result shows that the upper limit of the first band gap decreases with the increase of the lattice constant and the wedge height and increases with the increase of the length of wedge base; the lower limit of the band gap decreases with the increase of the wedge height and length of wedge base and is independent of the change of lattice constant, which further reveals the essence of the band gap formation and verifies the accuracy of the equivalent model. This study provides some theoretical support for low-frequency noise control and broadens the design idea of symmetric phononic crystal.
引用
收藏
页数:12
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