Page 127 - 《应用声学》2020年第5期

第 39 卷 第 5 期 Vol. 39, No. 5
2020 年 9 月 Journal of Applied Acoustics September, 2020

⋄ 研究报告 ⋄

台阶板中兰姆波A 模式传播特性的光弹研究 ∗
0

张 旭 1 张述坤 1 胡中韬 2 涂 君 1 程 江 1 安志武 2 宋小春 1†

(1 湖北工业大学机械工程学院 现代制造质量工程湖北省重点实验室 武汉 430068)
(2 中国科学院声学研究所 北京 100190)

摘要：为了研究变壁厚结构中兰姆波的传播特性，以 K9 玻璃制成的台阶板为波导，运用动态光弹法实现了兰
姆波在阶梯板中传播过程的可视化。使用 MATLAB 对兰姆波的理论应力分布进行了仿真，将仿真结果与光
弹图像相对比以进行模式识别。此外，根据兰姆波的动态光弹图像计算了特定模式的相速度，并与相速度频散
曲线相对比，以支持模式识别的结果。对 4 mm-3 mm 和 4 mm-2 mm 厚度差台阶板进行了对比分析。研究发
现在激励目标模式的兰姆波时，可能会出现非目标模式，并且兰姆波的模态转换和频散程度与台阶处的厚度
差有关。该文的结果可对具有相同性质类似结构材料的无损检测提供参考。
关键词：兰姆波；相速度；动态光弹法
中图法分类号: TB553 文献标识码: A 文章编号: 1000-310X(2020)05-0769-06
DOI: 10.11684/j.issn.1000-310X.2020.05.016

Dynamic photoelastic method on the propagation characteristics of asymmetric

Lamb mode in thickness variation plate

ZHANG Xu 1 ZHANG Shukun 1 HU Zhongtao 2 TU Jun 1 CHENG Jiang 1
AN Zhiwu 2 SONG Xiaochun 1

(1 Hubei Key Laboratory of Modern Manufacturing Quantity Engineering, School of Mechanical Engineering,
Hubei University of Technology, Wuhan 430068, China)
(2 Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China)

Abstract: To study the propagation characteristics of the Lamb wave in the variable wall thickness structure,
the stepped plate made of K9 glass was used as the waveguide. The dynamic photoelastic method was used
to realize the visualization of the Lamb wave propagation process in the thickness variation plate. The stress
distribution of the lamb wave mode was simulated by MATLAB, and the simulation results of which were
compared with the photoelastic image for pattern recognition. Besides, the phase velocity of the specific mode
was calculated according to the dynamic photoelastic image of the Lamb wave, which was compared with the
phase velocity dispersion curve to support the result of pattern recognition. The 4 mm-3 mm stepped plate
and the 4 mm-2 mm stepped plate were analyzed comparatively. It is found that when the Lamb wave of the
target mode is excited, a non-target mode may occur, and the degree of dispersion and mode conversion of
the Lamb wave is related to the difference in thickness at the step. The results of this paper can provide a
reference for non-destructive testing of similar structural materials with the same properties.
Keywords: Lamb wave; Phase velocity; Dynamic photoelastic method

2019-12-19 收稿; 2020-03-31 定稿
国家基金青年项目 (51807052, 51707058), 国家基金面上项目 (51575165, 11874386), 湖北省自然科学基金创新群体项目 (2019CFA 0 21)
∗
作者简介: 张旭 (1987– ), 女, 黑龙江哈尔滨人, 博士, 讲师, 研究方向: 声学。
† 通信作者 E-mail: songxc@mail.hbut.edu.cn