Lamb波单一模态损伤散射波场的提取与成像研究

doi:10.16180/j.cnki.issn1007-7820.2019.07.005

摘要/Abstract

摘要：

在频散关系未知的前提下,基于自参考波数区间的滤波方法可显著区分Lamb波的不同模态,并获取单一模态损伤散射波场,对板状结构损伤检测具有较高的实用价值。文中根据Lamb波不同模态在同一频率下波数值的差异,以及沿不同方向传播的波与三维傅立叶变换后系数矩阵的对应关系,在MATLAB中设计出相应的弧形滤波窗,对采集的时空波场数据进行滤波处理。利用延时叠加成像算法,采用矩形阵列成像数据对铝板中通孔损伤进行成像。仿真和实验结果表明,基于自参考波数区间的滤波方法有效提取了双损伤的微弱散射波场,结合延时叠加成像算法更好地定位了损伤散射点的位置。阵元数目增加可改善成像精度,实现了对损伤的精确定位。

关键词: 自参考波数区间, Lamb波, 单一模态, 弧形滤波窗, 延时叠加成像算法, 成像精度

Abstract:

A filtering method of self-reference wavenumber interval was put forward in this paper. The proposed method was proven to be able to distinctly distinguish the different mode of Lamb wave and acquire a single Lamb wave mode damage scattering wave field without knowing the dispersion relation, which was of high practical value to detect the damage of plate-like structure. Based on the difference of wave-number values in different Lamb wave modes under the same frequency and the mapping relationships between wave direction and the 3 dimensional Fourier transform coefficient matrix, the corresponding arc filter window was designed in Matlab to filter the collected space-time wave field data. This article imaged the through-hole damage in aluminum plates by making use of the time-delay superposition imaging algorithm and rectangular array imaging data. The simulation and experiment results showed that the self-reference wavenumber interval filtering method effectively obtained the weak scattering wave field of double damage, and the position of damage reflection combining with the time-delay superposition imaging algorithm was located better. The imaging precision was improved with the increase of the number of elements, realizing the precise location of damage.

Key words: self reference wavenumber interval, Lamb waves, single mode, arc filter window, time delay superposition imaging algorithm, imaging precision.

中图分类号:

TN911.7

杨国英. Lamb波单一模态损伤散射波场的提取与成像研究[J]. 电子科技, 2019, 32(7): 21-27.

YANG Guoying. Study on the Extraction of Lamb Waves Single Modal Damage Scattering Wave Field and Imaging[J]. Electronic Science and Technology, 2019, 32(7): 21-27.

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参数名称	参数值
E/GPa	69
ν	0.33
ρ/kg·m^-3	2 700

阵元数目	损伤1/mm	损伤2/mm
49	(46.6,76.2)	(-37,65.8)
256	(47,75.9)	(-36.6,66.8)