Inverse Shape Reconstruction of Inner Cavities Using Guided SH-Waves in a Plate
The paper proposes an inverse reconstruction method for inner cavities in a 2D plate using guided SH-waves. When a pure incident wave mode is sent toward the flaw area, reflected waves are observed at the far field due to mode conversion. From wave scattering theory, the reflected wave field is expr...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2015/195682 |
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| _version_ | 1841524873774497792 |
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| author | Bin Wang Zhenghua Qian Sohichi Hirose |
| author_facet | Bin Wang Zhenghua Qian Sohichi Hirose |
| author_sort | Bin Wang |
| collection | DOAJ |
| description | The paper proposes an inverse reconstruction method for inner cavities in a 2D plate using guided SH-waves. When a pure incident wave mode is sent toward the flaw area, reflected waves are observed at the far field due to mode conversion. From wave scattering theory, the reflected wave field is expressed by an integral over the unknown flaw surface concerning the total wave field. By the introduction of Born approximation and far-field expressions of Green’s function, it is found that the reflection coefficient for the mode of the same order as that of the incident mode is related to the unknown shape of the cavity by Fourier transform relations. By mathematical deduction, we show that if the basic (0th-order) symmetric and the 1st-order antisymmetric modes are used as incident waves, the locations and shapes of upper and lower boundaries of the cavity can be reconstructed. Numerical examples are illustrated in the paper, and a proper condition for applying this method is discussed. The research can act as a basis of nondestructive inspection for latent flaws within more complicated structures. |
| format | Article |
| id | doaj-art-7c0a43c203ee407a8dccece0e3860b87 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-7c0a43c203ee407a8dccece0e3860b872025-02-03T05:47:11ZengWileyShock and Vibration1070-96221875-92032015-01-01201510.1155/2015/195682195682Inverse Shape Reconstruction of Inner Cavities Using Guided SH-Waves in a PlateBin Wang0Zhenghua Qian1Sohichi Hirose2State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, 29 Yudao Jie, Nanjing 210016, ChinaState Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, 29 Yudao Jie, Nanjing 210016, ChinaDepartment of Mechanical and Environmental Informatics, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8552, JapanThe paper proposes an inverse reconstruction method for inner cavities in a 2D plate using guided SH-waves. When a pure incident wave mode is sent toward the flaw area, reflected waves are observed at the far field due to mode conversion. From wave scattering theory, the reflected wave field is expressed by an integral over the unknown flaw surface concerning the total wave field. By the introduction of Born approximation and far-field expressions of Green’s function, it is found that the reflection coefficient for the mode of the same order as that of the incident mode is related to the unknown shape of the cavity by Fourier transform relations. By mathematical deduction, we show that if the basic (0th-order) symmetric and the 1st-order antisymmetric modes are used as incident waves, the locations and shapes of upper and lower boundaries of the cavity can be reconstructed. Numerical examples are illustrated in the paper, and a proper condition for applying this method is discussed. The research can act as a basis of nondestructive inspection for latent flaws within more complicated structures.http://dx.doi.org/10.1155/2015/195682 |
| spellingShingle | Bin Wang Zhenghua Qian Sohichi Hirose Inverse Shape Reconstruction of Inner Cavities Using Guided SH-Waves in a Plate Shock and Vibration |
| title | Inverse Shape Reconstruction of Inner Cavities Using Guided SH-Waves in a Plate |
| title_full | Inverse Shape Reconstruction of Inner Cavities Using Guided SH-Waves in a Plate |
| title_fullStr | Inverse Shape Reconstruction of Inner Cavities Using Guided SH-Waves in a Plate |
| title_full_unstemmed | Inverse Shape Reconstruction of Inner Cavities Using Guided SH-Waves in a Plate |
| title_short | Inverse Shape Reconstruction of Inner Cavities Using Guided SH-Waves in a Plate |
| title_sort | inverse shape reconstruction of inner cavities using guided sh waves in a plate |
| url | http://dx.doi.org/10.1155/2015/195682 |
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