Page 239 - 《应用声学》2023年第2期

第 42 卷 第 2 期 Vol. 42, No. 2
2023 年 3 月 Journal of Applied Acoustics March, 2023

⋄ 研究报告 ⋄

曲线坐标系下孔隙介质圆柱纵向表面波的传播特性 ∗

王佳乐 韩庆邦 † 苏娜娜 钱佳文

(河海大学物联网工程学院 常州 213022)

摘要：为了研究孔隙介质圆柱纵向表面波的传播规律，分析其频散和衰减特性，在正交曲线坐标系下建立了表
面波的频散方程，通过数值计算得到频散曲线，将纵向导波最低模态与表面波进行对比，并分析了曲率半径及
孔隙参数对表面波频散和衰减的影响。结果表明，当频率足够大时，导波最低模态的频散曲线与表面波近似；
在同一频率下，表面波的相速度随曲率半径的增大而增大，随孔隙度的增大而减小；表面波的衰减随孔隙度的
增大而增大。研究结果为开展孔隙介质圆柱结构的超声无损评价提供了一定的理论参考。
关键词：正交曲线坐标系；表面波；孔隙介质；频散特性
中图法分类号: O426.2 文献标识码: A 文章编号: 1000-310X(2023)02-0427-07
DOI: 10.11684/j.issn.1000-310X.2023.02.027

Propagation characteristics of longitudinal surface wave in porous media cylinder
in curvilinear coordinate system

WANG Jiale HAN Qingbang SU Nana QIAN Jiawen

(College of IOT Engineering of Hohai University, Changzhou 213022, China)

Abstract: To research on the propagation characteristics of longitudinal surface wave in porous media cylinder
and analyze its dispersion and attenuation features, the dispersion equation of surface wave is established
in orthogonal curvilinear coordinate system. Through numerical calculation, the dispersion curve has been
obtained. The lowest mode of guided wave is compared with surface wave, and the effects of curvature radius
and porosity on dispersion and attenuation of surface wave are analyzed. The results show that when the
frequency is large enough, the dispersion curve of the lowest mode of guided wave is similar to that of surface
wave. At the same frequency, the phase velocity of surface wave increases with curvature radius, decreases with
porosity, and the attenuation of surface wave increases with porosity, which can provide a theoretical reference
for non-destructive evaluation of cylindrical structures in porous media.
Keywords: Orthogonal curvilinear coordinate system; Surface wave; Porous media; Dispersion

2022-01-21 收稿; 2022-03-28 定稿
国家自然科学基金项目 (12174085), 江苏省研究生科研与实践创新计划项目 (KYCX21_0478), 声场声信息国家重点实验室开放课题
∗
研究基金项目 (SKLA201913)
作者简介: 王佳乐 (1998– ), 女, 浙江嘉兴人, 硕士研究生, 研究方向: 超声检测。
† 通信作者 E-mail: hqb0092@163.com