Page 113 - 《应用声学》2020年第6期

第 39 卷 第 6 期 Vol. 39, No. 6
2020 年 11 月 Journal of Applied Acoustics November, 2020

⋄ 研究报告 ⋄

四边简支含多孔材料双层板隔声特性 ∗

陈 亮 沈 敏 †

(数字化纺织装备湖北省重点实验室 武汉纺织大学 武汉 430200)

摘要：有限大含多孔材料和空气层复合板结构隔声特性的研究尚不充分。该文旨在研究四边简支边界条件下
复合板结构隔声特性。首先基于流体饱和多孔弹性介质的声传播理论计算了声波在多孔介质中的传播波数；
继而采用四边简支边界条件下板结构的模态函数，利用模态叠加法和伽辽金法推导了复合板结构隔声系数理
论模型，并数值求解复合板隔声量。将理论模型得到的四边简支复合板隔声量与实验结果对比，验证了理论模
型的正确性。最后，详细讨论了边界条件、板结构尺寸和多孔材料厚度等主要参数对隔声特性的影响。结果表
明：四边简支复合结构隔声特性曲线上 “谷值” 出现得较少，并且简支复合板隔声特性的第一个 “吻合频率” 比
固支支撑复合板更靠近低频，当频率超过 3000 Hz 以后，简支和固支边界条件复合板结构隔声特性趋于一致。
关键词：声振特性；弹性多孔材料；简支边界条件；夹层板；隔声量
中图法分类号: TB535+.1 文献标识码: A 文章编号: 1000-310X(2020)06-0907-09
DOI: 10.11684/j.issn.1000-310X.2020.06.014

Sound insulation characteristics of composite panel lined with porous
materials under simply supported

CHEN Liang SHEN Min

(Hubei Key Laboratory of Digital Textile Equipment,Wuhan Textile University, Wuhan 430200, China)

Abstract: The research on the sound insulation properties of the finite composite panel structure lined with
porous materials and air layer is insufficient. The purpose of this paper is to study the sound insulation
properties of the composite panel structure under simply supported. Firstly, the wave number of sound waves
propagating in porous media is calculated based on the sound propagation theory of fluid-saturated porous
elastic media. The modal function of the panel structure with simply supported conditions is adopted. The
theoretical model of the sound insulation coefficients of composite panel structure under simply supported is
derived by using modal superposition and Galerkin method and the sound insulation of the composite panel
is numerically solved. The correctness of theoretical model is verified by comparing the sound insulation of
composite panel under simply supported obtained by theoretical model with experimental results. Finally, the
influence of the main parameters such as the boundary conditions and panel dimensions of the composite panel
structure, thickness of porous materials on the sound insulation properties of the composite panel structure are
discussed in detail. The results show that the ”valley value” on the sound insulation properties curves is less
under the simply supported boundary conditions and the first ”matching frequency” of the sound insulation
properties of the composite panel under simply supported is closer to the low frequency than that under
clamped supported. When the frequency exceeds 3000 Hz, the sound insulation properties of the composite
panel structure with simple and clamped supports tend to be consistent.
Keywords: Vibroacoustic characteristics; Poroelastic material; Simply supported boundary condition; Sand-
wich panel; Sound transmission loss

2020-03-06 收稿; 2020-08-10 定稿
国家自然科学基金项目 (51505344), 湖北省自然科学基金项目 (2014CFB766), 湖北省数字化纺织装备重点实验室开放课题
∗
(DTL2018017)
作者简介: 陈亮 (1996– ), 男, 湖北荆门人, 硕士研究生, 研究方向: 结构振动与声学。
† 通信作者 E-mail: min_shen18@163.com