Page 124 - 201901

第 38 卷 第 1 期 Vol. 38, No. 1
2019 年 1 月 Journal of Applied Acoustics January, 2019

⋄ 研究报告 ⋄

径向声子晶体隔声特性 ∗

王兴国 1† 舒海生 2 张 靓 3 刘秀林 1 王凤娟 1

(1 齐齐哈尔大学机电工程学院 齐齐哈尔 161006)
(2 哈尔滨工程大学机电工程学院 哈尔滨 150001)
(3 黑龙江交通职业技术学院 齐齐哈尔 161002)
摘要 该文构造了由两种匀质材料交替分布的径向声子晶体柱壳模型。首先，针对声波在其中的轴对称传播
情况进行了理论分析，建立了声波由内向外传播的传递矩阵，进而导出了声压透射系数和隔声量表达式。采
用数值分析的方法系统地讨论了径向声子晶体柱壳的隔声特性，并与单一材质柱壳的传播规律进行对比分析，
其次，借助有限元仿真分析的手段对数值结果进行了验证。最后，详细分析了内外流体的特性阻抗对径向声子
晶体柱壳隔声特性的影响，得到了相应的参数影响规律。研究表明，径向声子晶体柱壳存在声波带隙，导致其
在带隙范围内的隔声效果远远优于单材质柱壳，并且该结构的固有特性突破了质量定律的限制；声波带隙内
表面局域态现象出现与否由内外声场和结构场共同决定。
关键词 径向声子晶体，柱壳，传递矩阵，声波带隙
中图法分类号: TB535 文献标识码: A 文章编号: 1000-310X(2019)01-0120-09
DOI: 10.11684/j.issn.1000-310X.2019.01.016

Acoustic insulation properties of radial phononic crystals

WANG Xingguo 1 SHU Haisheng 2 ZHANG Liang 3 LIU Xiulin 1 WANG Fengjuan 1

(1 College of Mechanical and Electrical Engineering, Qiqihar University, Qiqihar 161006, China)
(2 College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, China)
(3 Heilongjiang Communications Polytechnic, Qiqihar 161002, China)

Abstract A cylindrical shell radical phononic crystal model arranged alternately between two homogenous
materials is constructed in this paper. First, the theoretical analysis was based on the axial symmetry prop-
agation in the model. The sound pressure transmission coefficient and the sound insulation expression were
derived based on the establishment of acoustic wave propagating transfer matrix from the inside out. The
sound insulation properties of cylindrical shell of radial phononic crystals were systematically discussed by
means of numerical analysis method, and compared with the propagation law of a single material cylindrical
shell. Then, the numerical results were verified by means of finite element simulation analysis. Finally, the
effect of characteristic impedance of internal and external on the acoustic characteristic of radical phononic
crystal was analyzed. So the corresponding parameter influence law was obtained. The results show that the
band gap exists in the cylindrical shell of radial phononic crystals, which results in a better sound insulation
effect than the single material cylindrical shell in the band gap range, and the inherent characteristics of the
structure break through the limitations of the mass law. The surface localized modes phenomenon of the
acoustic band gap is determined by the internal and external sound field and structure field.
Key words Radial phononic crystal, Cylindrical shell, Transfer matrix, Band gap
2018-04-16 收稿; 2018-09-03 定稿
国家自然科学基金项目 (51375105)
∗
作者简介: 王兴国 (1989- ), 男, 黑龙江人, 硕士, 助教, 研究方向: 减振降噪。
† 通讯作者 E-mail: wangxingguo2014@163.com