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通过模态分解提取的高阶波损伤相互作用系数（WDIC）

High-Order Wave-Damage Interaction Coefficients (WDIC) Extracted through Modal Decomposition.

作者信息

Mei Hanfei, Giurgiutiu Victor

机构信息

Department of Mechanical Engineering, University of South Carolina, 300 Main Street, Columbia, SC 29208, USA.

出版信息

Sensors (Basel). 2021 Apr 13;21(8):2749. doi: 10.3390/s21082749.

DOI:10.3390/s21082749
PMID:33924685
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8070151/
Abstract

This paper presents a new technique for the extraction of high-order wave-damage interaction coefficients (WDIC) through modal decomposition. The frequency and direction dependent complex-valued WDIC are used to model the scattering and mode conversion phenomena of guided wave interaction with damage. These coefficients are extracted from the harmonic analysis of local finite element model (FEM) mesh with non-reflective boundaries (NRB) and they are capable of describing the amplitude and phase of the scattered waves as a function of frequency and direction. To extract the WDIC of each wave mode, all the possible propagating wave modes are considered to be scattered simultaneously from the damage and propagate independently. Formulated in frequency domain, the proposed method is highly efficient, providing an overdetermined equation system for the calculation of mode participation factors, i.e., WDIC of each mode. Case studies in a 6-mm aluminum plate were carried out to validate the WDIC of: (1) a through-thickness hole and (2) a sub-surface crack. At higher frequency, scattered waves of high-order modes will appear and their WDIC can be successfully extracted through the modal decomposition.

摘要

本文提出了一种通过模态分解提取高阶波损伤相互作用系数（WDIC）的新技术。频率和方向相关的复值WDIC用于模拟导波与损伤相互作用的散射和模式转换现象。这些系数从具有非反射边界（NRB）的局部有限元模型（FEM）网格的谐波分析中提取，并且能够描述散射波的幅度和相位作为频率和方向的函数。为了提取每个波模式的WDIC，所有可能的传播波模式都被认为是从损伤处同时散射并独立传播的。该方法在频域中制定，效率很高，为计算模式参与因子（即每个模式的WDIC）提供了一个超定方程组。在6毫米铝板上进行了案例研究，以验证以下情况的WDIC：（1）一个贯穿厚度的孔和（2）一个表面下裂纹。在较高频率下，高阶模式的散射波将会出现，并且它们的WDIC可以通过模态分解成功提取。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/8510351bf68e/sensors-21-02749-g014.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/cd72ff1c121a/sensors-21-02749-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/969f8a6ff0c1/sensors-21-02749-g002a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/983efb691114/sensors-21-02749-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/10903d0da1a9/sensors-21-02749-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/fa3fce71d0c8/sensors-21-02749-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/829c5e06b77a/sensors-21-02749-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/a168f72df1cd/sensors-21-02749-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/ab524c296461/sensors-21-02749-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/6fb218a5f1f4/sensors-21-02749-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/a589b45cf9f6/sensors-21-02749-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/c4c830e1e226/sensors-21-02749-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/770ac5558da1/sensors-21-02749-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/409b7fc22eee/sensors-21-02749-g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/8510351bf68e/sensors-21-02749-g014.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/cd72ff1c121a/sensors-21-02749-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/969f8a6ff0c1/sensors-21-02749-g002a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/983efb691114/sensors-21-02749-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/10903d0da1a9/sensors-21-02749-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/fa3fce71d0c8/sensors-21-02749-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/829c5e06b77a/sensors-21-02749-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/a168f72df1cd/sensors-21-02749-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/ab524c296461/sensors-21-02749-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/6fb218a5f1f4/sensors-21-02749-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/a589b45cf9f6/sensors-21-02749-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/c4c830e1e226/sensors-21-02749-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/770ac5558da1/sensors-21-02749-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/409b7fc22eee/sensors-21-02749-g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b1e/8070151/8510351bf68e/sensors-21-02749-g014.jpg

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