An approach based on expectation-maximization algorithm for parameter estimation of Lamb wave signals
•Develop a model function with five parameters to model the Lamb wave signal.•Adopt EM algorithm to obtain the parameters.•Study the convergence property using synthetic signals.•Experimentally study the effectiveness of mode identification and time locating. In the structural health monitoring or n...
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| Published in: | Mechanical systems and signal processing Vol. 120; pp. 341 - 355 |
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| Main Authors: | , , , , , |
| Format: | Journal Article |
| Language: | English |
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Berlin
Elsevier Ltd
01.04.2019
Elsevier BV |
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| ISSN: | 0888-3270, 1096-1216 |
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| Abstract | •Develop a model function with five parameters to model the Lamb wave signal.•Adopt EM algorithm to obtain the parameters.•Study the convergence property using synthetic signals.•Experimentally study the effectiveness of mode identification and time locating.
In the structural health monitoring or nondestructive examination system based on the Lamb wave technology, the accurate and valid characteristics of wave packet extracted from the signal are critical factors to evaluate damage. However, the dispersion effect and the multi-mode characteristic in the elastic wave make the data extraction difficult and degrade the resolution, and therefore further prevent the effectiveness of Lamb wave for damage detection. In this study, we proposed a model-based approach for extracting effective characteristics from the noisy signals. By taking the narrow band Gabor pulse as the incident pulse and considering the general non-linear frequency dispersion (quadratic dispersion), we developed a model with five parameters to model the dispersive wave packet and obtained the parameter vector of each wave packet by the expectation-maximization (EM) algorithm. The parameters in the model present the characteristics of signals, which can be further applied to locate and evaluate the structure’s damage. To study the convergence property, synthetic signals with different sampling rates and noise intensities were considered. Furthermore the developed approach is also verified by the experimental data from an isotropic aluminum plate. |
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| AbstractList | •Develop a model function with five parameters to model the Lamb wave signal.•Adopt EM algorithm to obtain the parameters.•Study the convergence property using synthetic signals.•Experimentally study the effectiveness of mode identification and time locating.
In the structural health monitoring or nondestructive examination system based on the Lamb wave technology, the accurate and valid characteristics of wave packet extracted from the signal are critical factors to evaluate damage. However, the dispersion effect and the multi-mode characteristic in the elastic wave make the data extraction difficult and degrade the resolution, and therefore further prevent the effectiveness of Lamb wave for damage detection. In this study, we proposed a model-based approach for extracting effective characteristics from the noisy signals. By taking the narrow band Gabor pulse as the incident pulse and considering the general non-linear frequency dispersion (quadratic dispersion), we developed a model with five parameters to model the dispersive wave packet and obtained the parameter vector of each wave packet by the expectation-maximization (EM) algorithm. The parameters in the model present the characteristics of signals, which can be further applied to locate and evaluate the structure’s damage. To study the convergence property, synthetic signals with different sampling rates and noise intensities were considered. Furthermore the developed approach is also verified by the experimental data from an isotropic aluminum plate. In the structural health monitoring or nondestructive examination system based on the Lamb wave technology, the accurate and valid characteristics of wave packet extracted from the signal are critical factors to evaluate damage. However, the dispersion effect and the multi-mode characteristic in the elastic wave make the data extraction difficult and degrade the resolution, and therefore further prevent the effectiveness of Lamb wave for damage detection. In this study, we proposed a model-based approach for extracting effective characteristics from the noisy signals. By taking the narrow band Gabor pulse as the incident pulse and considering the general non-linear frequency dispersion (quadratic dispersion), we developed a model with five parameters to model the dispersive wave packet and obtained the parameter vector of each wave packet by the expectation-maximization (EM) algorithm. The parameters in the model present the characteristics of signals, which can be further applied to locate and evaluate the structure’s damage. To study the convergence property, synthetic signals with different sampling rates and noise intensities were considered. Furthermore the developed approach is also verified by the experimental data from an isotropic aluminum plate. |
| Author | Liu, Hongwei Leng, Jinsong Jia, Hongbo Dai, Fuhong Liu, Yanju Zhang, Zhichun |
| Author_xml | – sequence: 1 givenname: Hongbo surname: Jia fullname: Jia, Hongbo organization: Center for Composite Materials and Structures, Harbin Institute of Technology, Harbin 150080, PR China – sequence: 2 givenname: Zhichun surname: Zhang fullname: Zhang, Zhichun organization: Center for Composite Materials and Structures, Harbin Institute of Technology, Harbin 150080, PR China – sequence: 3 givenname: Hongwei surname: Liu fullname: Liu, Hongwei organization: Center for Composite Materials and Structures, Harbin Institute of Technology, Harbin 150080, PR China – sequence: 4 givenname: Fuhong surname: Dai fullname: Dai, Fuhong organization: Center for Composite Materials and Structures, Harbin Institute of Technology, Harbin 150080, PR China – sequence: 5 givenname: Yanju surname: Liu fullname: Liu, Yanju organization: Department of Astronautical Science and Mechanics, Harbin Institute of Technology, Harbin 150080, PR China – sequence: 6 givenname: Jinsong surname: Leng fullname: Leng, Jinsong email: lengjs@hit.edu.cn organization: Center for Composite Materials and Structures, Harbin Institute of Technology, Harbin 150080, PR China |
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| Cites_doi | 10.1016/S0041-624X(98)00012-2 10.1121/1.1357813 10.1109/TUFFC.2006.1610568 10.1016/j.ultras.2008.04.005 10.1121/1.1378348 10.1121/1.1893265 10.1121/1.428552 10.1088/0964-1726/12/3/316 10.1088/1361-665X/26/2/025016 10.1016/S0963-8695(00)00024-4 10.1088/0964-1726/14/4/013 10.1088/0964-1726/16/6/010 10.1109/TUFFC.2010.1747 10.1177/1475921709341012 10.1109/TUFFC.2013.2799 10.1109/TUFFC.2003.1197965 10.1088/0964-1726/19/4/045022 10.1016/0041-624X(96)00024-8 10.1016/j.compscitech.2007.10.015 10.1016/j.sna.2014.10.037 10.1177/1475921716665252 10.1109/58.920713 10.1088/0964-1726/23/8/085012 10.1109/29.1552 10.1016/j.ymssp.2017.09.043 10.1109/58.920714 10.1177/1475921710379520 10.1109/58.842048 |
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| Keywords | Lamb wave Parameter estimation Gabor pulse Multi-mode characteristic EM algorithm Dispersion effect |
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| Snippet | •Develop a model function with five parameters to model the Lamb wave signal.•Adopt EM algorithm to obtain the parameters.•Study the convergence property using... In the structural health monitoring or nondestructive examination system based on the Lamb wave technology, the accurate and valid characteristics of wave... |
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| SubjectTerms | Algorithms Aluminum Damage assessment Damage detection Dispersion effect Elastic waves EM algorithm Gabor pulse Lamb wave Lamb waves Mathematical models Maximization Metal plates Multi-mode characteristic Nondestructive testing Parameter estimation Structural damage Structural health monitoring Wave dispersion |
| Title | An approach based on expectation-maximization algorithm for parameter estimation of Lamb wave signals |
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