Page 108 - 《应用声学》2021年第6期

第 40 卷 第 6 期 Vol. 40, No. 6
2021 年 11 月 Journal of Applied Acoustics November, 2021

⋄ 研究报告 ⋄

五模声学超表面理论分析与定向反射声学仿真 ∗

郝潇潇 1 王 真 1† 赵志高 2 沈 敏 1

(1 武汉纺织大学机械工程与自动化学院 武汉 430200)

(2 武汉第二船舶设计研究所 武汉 430205)
摘要：以广义斯奈尔定律为理论依据，对五模声学超表面定向反射的基本原理进行了解析推导和理论分析，获
得了五模超表面的理想连续物性参数分布，并给出了五模超表面尺寸设计准则；然后将超表面离散，获得离散
单胞的密度和体积模量，并以此为目标进行五模微结构设计，采用均匀化理论计算微结构的等效物性参数；最
后，进行了水下声场的声波定向反射调控仿真实验，研究了入射波频率对超表面定向反射性能的影响，仿真结
果展现了五模超表面宽频有效的声波调控能力以及调控的可靠性和准确性。该文的研究工作为五模声学超表
面的设计和物理实现提供理论指导。
关键词：广义斯奈尔定律；声学超表面；五模材料；声场调控；微结构
中图法分类号: O422.3 文献标识码: A 文章编号: 1000-310X(2021)06-0904-07
DOI: 10.11684/j.issn.1000-310X.2021.06.013

Theory analysis and acoustics simulation of reflection pentamode
acoustic metasurface

HAO Xiaoxiao 1 WANG Zhen 1 ZHAO Zhigao 2 SHEN Min 1

(1 School of Mechanical Engineering and Automation, Wuhan Textile University, Wuhan 430200, China)
(2 Wuhan 2nd Ship Design & Research Institute, Wuhan 430205, China)

Abstract: Based on the generalized Snell’s law, the derivation and theoretical analysis of the fundamental
principles are carried out for directional reflection pentamode acoustic metasurfaces. The basic criteria for the
design of dimensions of reflective pentamode metasurfaces are proposed, and a pentamode acoustic meatsurface
with gradient-distributed physical parameters is designed. Then, the continual metasurface is discreted to
get mechanical properties of unit cells which are as optimization design aims of pentamod microstructure.
The effective bulk modulus and density of pentamode structures are calculated using homogenization method
Finally, multi-physics field simulation software is utilized to simulate directional wave reflection control for
the metasurface under the background of water field. The simulation studies the influences of incident wave
frequency on the directional reflection performances of the metasurface. The results of simulation exhibit the
pentamode metasurface’s broadband and high-effective abilities for acousitc waves manipulation, as well as the
reliability and accuracy of manipulation. The research work in this paper can provide theory guidance for the
design and physical implementation of the pentamode acoustic metasurfaces.
Keywords: The generalized Snell’s law; Acoustic metasurface; Pentamode metamaterial; Wavefront manipu-
lation; Pentamode structure

2021-01-12 收稿; 2021-04-01 定稿
国家自然科学基金资助项目 (11872048)
∗
作者简介: 郝潇潇 (1996– ), 女, 山东青岛人, 硕士研究生, 研究方向: 声学超材料。
† 通信作者 E-mail: wangzhen@wtu.edu.cn