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基于二维快速傅里叶变换的杆结构中超声导波的多阶模式激励与分离

Multi-Order Mode Excitation and Separation of Ultrasonic Guided Waves in Rod Structures Using 2D-FFT.

作者信息

Li Gang, Zhang Jing, Cheng Juke, Wang Kang, Yang Dong, Yuan Ye

机构信息

Department of Civil Engineering, Hefei University of Technology, Hefei 230009, China.

Earthquake Engineering Research & Test Center, Guangzhou University, Guangzhou 510006, China.

出版信息

Sensors (Basel). 2023 Oct 16;23(20):8483. doi: 10.3390/s23208483.

Abstract

The ultrasonic guided wave technique is extensively used for nondestructive structural testing, and one of the key steps is to extract a single mode with certain purity from multi-order mixed modes. In this paper, the propagation of ultrasonic guided waves in the cylindrical rod is simulated first; the appropriate broadband excitation signal is selected to excite the multi-order modes in a specific frequency range; and the time-space signal containing multi-order modes is converted to the frequency-wavenumber domain signal by two-dimensional Fourier transform. In the frequency-wavenumber domain, the frequency-wavenumber ridge is extracted from the multi-mode frequency-wavenumber domain based on the dynamic programming method, and then the time-domain signal corresponding to a single mode can be reconstructed. By comparing the excited multi-order mode and the separated single mode with the theoretical results, it is observed that the two results are consistent. Thus, the employed mode-excitation method can accurately excite the multi-order modes in rod structures. Furthermore, the proposed method enables the separation of a single-mode wave with high purity, providing a foundation for future utilization of isolated modes.

摘要

超声导波技术广泛应用于结构无损检测,其中关键步骤之一是从多阶混合模式中提取具有一定纯度的单一模式。本文首先模拟了超声导波在圆柱杆中的传播;选择合适的宽带激励信号在特定频率范围内激发多阶模式;通过二维傅里叶变换将包含多阶模式的时空信号转换为频率波数域信号。在频率波数域中,基于动态规划方法从多模频率波数域中提取频率波数脊,进而重构单一模式对应的时域信号。通过将激发的多阶模式和分离出的单一模式与理论结果进行比较,发现二者结果一致。因此,所采用的模式激励方法能够准确激发杆结构中的多阶模式。此外,所提方法能够实现高纯度单模波的分离,为后续孤立模式的利用奠定了基础。

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