基于二维三组元声子晶体带隙特性的振动研究

doi:10.3969/j.issn.1674-0696.2020.08.21

重庆交通大学学报（自然科学版） ›› 2020, Vol. 39 ›› Issue (08): 134-138.DOI: 10.3969/j.issn.1674-0696.2020.08.21

• 载运工具与机电工程 • 上一篇

基于二维三组元声子晶体带隙特性的振动研究

彭中波，李成，高阳

(重庆交通大学航运与船舶工程学院, 重庆 400074)

收稿日期:2019-04-25 修回日期:2019-07-11 出版日期:2020-08-18 发布日期:2020-08-25
作者简介:彭中波（1975—），男，湖南人，教授，博士，主要从事船舶装备监控与故障诊断技术方面的研究。E-mail：yumibobo114@hotmail.com 通信作者：李成（1995—），男，重庆人，硕士研究生，主要从事船舶装备监控与故障诊断技术方面的研究。E-mail：2996079789@qq.com

Vibration Study Based on the Band Gap Characteristics of Two-Dimensional Three-Component Phononic Crystal

PENG Zhongbo, LI Cheng, GAO Yang

(School of Shipping and Marine Engineering, Chongqing Jiaotong University, Chongqing 400074, China)

Received:2019-04-25 Revised:2019-07-11 Online:2020-08-18 Published:2020-08-25

摘要/Abstract

摘要： 笔者设计了一种二维三组元声子晶体结构，结合有限元软件COMSOL对其能带结构及传输特性进行计算,并讨论了散射体填充率、包覆层厚度对该结构第一带隙的影响。在此基础上利用不同的散射体来计算该结构的传输特性，分析了不同周期数下同种散射体与相同周期数下不同散射体，对有限周期声子晶体结构振动的影响。研究结果表明：传输特性中出现的衰减频率范围和能带结构相比基本吻合，验证了能带结构计算方法的具有正确和有效性；在同种散射体下增加周期数时，对于带隙频率范围内振动的衰减效果也会增强；在同种周期数下使用密度越大的散射体时，越能对低频段的振动起到减振作用；该结构所实现的低频带隙范围对船舶减振降噪具有潜在的应用前景。

关键词: 声子晶体, 带隙, 有限元法, 减振

Abstract: A two-dimensional three-component phononic crystal structure was designed, and the energy band structure and transmission characteristics of the designed structure were calculated in combination with the finite element software COMSOL. The effect of the filling ratio of the scatterers and the thickness of the cladding layer on the first band gap of the proposed structure was discussed. On this basis, the transmission characteristics of the proposed structure were calculated by using different scattering bodies. And the effects of the same kind of scatterers at the different periods and different scatterers at the same period on the vibration of finite period phononic crystal structure were analyzed. The results show that the attenuation frequency range in the transmission characteristics was basically consistent with the energy band structure, and the calculation method of the energy band structure is correct and effective. With the increase of the number of periods in the case of the same scatterers, the vibration attenuation effect in the band gap frequency range will also be enhanced; with the same period number, the higher the density of scatterers, the better the vibration of low frequency band can be reduced. The range of low frequency band gap realized by the proposed structure has a potential application prospect for vibration and noise reduction of ships.

Key words: phononic crystals, band gap, finite element method, vibration reduction

中图分类号:

TH113.1 U668

彭中波，李成，高阳. 基于二维三组元声子晶体带隙特性的振动研究[J]. 重庆交通大学学报（自然科学版）, 2020, 39(08): 134-138.

PENG Zhongbo, LI Cheng, GAO Yang. Vibration Study Based on the Band Gap Characteristics of Two-Dimensional Three-Component Phononic Crystal[J]. Journal of Chongqing Jiaotong University(Natural Science), 2020, 39(08): 134-138.

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基于二维三组元声子晶体带隙特性的振动研究

Vibration Study Based on the Band Gap Characteristics of Two-Dimensional Three-Component Phononic Crystal

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