韧带型声子晶体狄拉克锥特性研究

doi:10.16183/j.cnki.jsjtu.2020.242

上海交通大学学报 ›› 2021, Vol. 55 ›› Issue (11): 1453-1458.doi: 10.16183/j.cnki.jsjtu.2020.242

所属专题：《上海交通大学学报》2021年12期专题汇总专辑；《上海交通大学学报》2021年“工程力学”专题

韧带型声子晶体狄拉克锥特性研究

陈炉云¹^,², 王健¹^,²(), 崔益烽³, 孔慧¹^,²

1.上海交通大学海洋工程国家重点实验室, 上海 200240
2.上海交通大学海洋智能装备与系统教育部重点实验室, 上海 200240
3.陆军装备部驻南京地区军事代表局驻上海地区第二军事代表室, 上海 200082

收稿日期:2020-07-29 出版日期:2021-11-28 发布日期:2021-12-03
通讯作者: 王健 E-mail:nsms_sjtu@sjtu.edu.cn
作者简介:陈炉云(1975-),男,湖南省郴州市人,博士生,主要从事结构减振降噪研究.

Dirac Cone Characteristics of Hexachiral Phononic Crystal

CHEN Luyun¹^,², WANG Jian¹^,²(), CUI Yifeng³, KONG Hui¹^,²

1. State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
2. Key Laboratory of Marine Intelligent Equipment and System of the Ministry of Education, Shanghai Jiao Tong University, Shanghai 200240, China
3. Shanghai Second Militaryx Representative Office, Nanjing Military Representative Office of the Ministry of Army Equipment, Shanghai 200082, China

Received:2020-07-29 Online:2021-11-28 Published:2021-12-03
Contact: WANG Jian E-mail:nsms_sjtu@sjtu.edu.cn

摘要/Abstract

摘要：

声子晶体的能带结构特性是评估声学超构材料减振降噪性能的重要指标.以二维六韧带手性声子晶体为例,对其能带结构和狄拉克锥特性进行数值分析,在声子晶体布里渊区中心处获得四重偶然简并狄拉克点.通过调整韧带的设计参数,实现对双狄拉克锥的打开,形成新的定向带隙.研究韧带参数与定向带隙宽度的关系,并进一步讨论能带结构反转问题.研究成果可为手性声子晶体在弹性波操控和声学拓扑绝缘体的应用提供技术支持.

关键词: 声子晶体, 能带结构, 狄拉克锥, 线性频散, 方向带隙

Abstract:

The band structure properties of phononic crystal is important to evaluate the vibration and noise reduction of acoustic metamaterials. Taking the 2D hexachiral phononic crystal as an example, the band structure and Dirac cone properties were investigated by numerical analysis, and the four-fold accidental degenerate Dirac point was obtained in the center of Brillouin zone. By adjusting the design parameters of ligament structure, a double Dirac cone was broken and a novel directional band gap was formed. The influence of geometric parameters on the directional band gaps width was investigated, and the band structure inversion problem was further discussed. This research can provide support for the application of hexachiral phononic crystal in elastic wave manipulation and acoustic topological insulator.

Key words: phononic crystal, band structure, Dirac cone, linear dispersion, directional band gap

中图分类号:

TB123

陈炉云, 王健, 崔益烽, 孔慧. 韧带型声子晶体狄拉克锥特性研究[J]. 上海交通大学学报, 2021, 55(11): 1453-1458.

CHEN Luyun, WANG Jian, CUI Yifeng, KONG Hui. Dirac Cone Characteristics of Hexachiral Phononic Crystal[J]. Journal of Shanghai Jiao Tong University, 2021, 55(11): 1453-1458.

图/表 7

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模型	带隙	max(ω_n(k))	min(ω_n₊₁(k))	Δω_n	ω_c
初模型	第1条	71218.6	152740.8	81522.2	111979.7
	第2条	282668.7	305206.5	22537.8	293937.6
模型A	第1条	71025.2	152424.0	81398.8	111724.6
	第2条	282020.2	301912.6	19892.4	291966.4
模型B	第1条	71422.9	153072.6	81649.7	112247.8
	第2条	283371.1	308565.7	25194.6	295968.4

韧带型声子晶体狄拉克锥特性研究

Dirac Cone Characteristics of Hexachiral Phononic Crystal

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