Page 61 - 《应用声学》2021年第5期

第 40 卷 第 5 期 Vol. 40, No. 5
2021 年 9 月 Journal of Applied Acoustics September, 2021

⋄ 研究报告 ⋄

含损伤黏弹性阻尼加筋层合板声功率和

指向性变异 ∗

沈 敏 † 何 为 王 真 余联庆

(湖北省数字化纺织装备重点实验室 武汉纺织大学机械工程与自动化学院 武汉 430200)

摘要：该文旨在研究损伤位置和程度对自由阻尼加筋层合板声辐射功率和指向性的影响。基于 Mindlin 和
Timoshenko 梁理论，建立了自由阻尼层合板 -梁组合结构有限元模型。数值求解四边简支边界条件自由阻尼
加筋层合板振动响应，继而通过 Rayleigh 积分计算加筋层合板辐射声功率和指向性。将计算得到的前 4 阶模
态固有频率、声辐射功率与指向性与已有文献进行了对比基本一致，验证了数值模型的正确性。最后，详细讨
论了损伤位置和程度对自由阻尼加筋层合板固有频率、振型、声辐射功率和指向性的影响，结果表明：随着结
构损伤程度的增大，声辐射功率峰值向低频移动，在更多角度上出现明显的指向性；声辐射功率和指向性对损
伤位置比损伤程度更加敏感。
关键词：加筋板结构；结构损伤；自由阻尼层；辐射功率；指向性
中图法分类号: O429 文献标识码: A 文章编号: 1000-310X(2021)05-0705-10
DOI: 10.11684/j.issn.1000-310X.2021.05.008

Variations of sound radiation power and directivity of stiffened laminated panel
with viscoelastic damping material

SHEN Min HE Wei WANG Zhen YU Lianqing

(Hubei Key Laboratory of Digital Textile Equipment, School of Mechanical Engineering and Automation, Wuhan Textile
University, Wuhan 430200, China)
Abstract: This paper is to study the effects of damage location and degree on acoustic radiation power and
directivity of an unconstrained damping stiffened laminated plate. Based on Mindlin and Timoshenko beam
theory, a finite element model is established for laminated plate consisted of beams structure. The vibration
response of the stiffened laminated plate solved numerically with full edges simply supported. Then, the sound
power and directivity of the stiffened aminated plate are calculated according to Rayleigh integral. The first five
modal frequencies, acoustic radiation power and directivity are basically consistent with the existing literature,
which verifies the correctness of the numerical model. Finally, the effects of damage location and degree on the
natural frequency, modal shape, acoustic radiation power and directivity of the stiffened laminated plates are
discussed in detail. The results show that the peak values of acoustic power move to low frequency with the
increasing of structural damage degree and obvious directivity at more angles. The acoustic radiation power
and directivity are more sensitive to damage location than damage degree.
Keywords: Stiffened panel; Structural damage; Unconstrained damped layer; Radiation power; Directiv-
ity pattern

2020-12-22 收稿; 2021-04-09 定稿
国家自然科学基金项目 (51505344, 11872048), 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: 沈敏 (1978– ), 女, 湖北武汉人, 博士, 研究方向: 结构振动与声学。
† 通信作者 E-mail: min_shen18@163.com