Scattering of Antiplane SH Waves by Complex Landforms
The multiple scattering of SH waves by isosceles triangular hill, semicircle depression, and isosceles trapezoidal hill in the solid half-space is studied. The complex model is divided into multiple subdomains by using the region matching method, then the wave functions in each subdomain are constru...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2021/9997230 |
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| _version_ | 1832560653384024064 |
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| author | Menghan Sun Hui Qi |
| author_facet | Menghan Sun Hui Qi |
| author_sort | Menghan Sun |
| collection | DOAJ |
| description | The multiple scattering of SH waves by isosceles triangular hill, semicircle depression, and isosceles trapezoidal hill in the solid half-space is studied. The complex model is divided into multiple subdomains by using the region matching method, then the wave functions in each subdomain are constructed by using the fractional-order Bessel function, and finally, the infinite algebraic equations for solving the unknown coefficients in the wave function are established by using the multipolar coordinate technique and the complex function method according to the boundary conditions. Fourier series is used to solve the unknown undetermined coefficients. The results show that due to the multiple reflections of the incident wave between complex landforms, surface displacement amplitude is affected by the incident angle, incident frequency, and the distance between the isosceles triangular hill, semicircle depression, and isosceles trapezoidal hill. It is found that when the incident frequency increases, there is a certain amplification effect between the hills and the depression. When the wave is incident horizontally, there is a certain “barrier” effect between hills and depression, and when the distance between the hills and depression reaches a certain level, the “barrier” effect will reach a stable value. |
| format | Article |
| id | doaj-art-2be50060ca7e4f5b8cb38cae21dd49f3 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-2be50060ca7e4f5b8cb38cae21dd49f32025-02-03T01:27:01ZengWileyShock and Vibration1070-96221875-92032021-01-01202110.1155/2021/99972309997230Scattering of Antiplane SH Waves by Complex LandformsMenghan Sun0Hui Qi1College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin 150000, ChinaCollege of Aerospace and Civil Engineering, Harbin Engineering University, Harbin 150000, ChinaThe multiple scattering of SH waves by isosceles triangular hill, semicircle depression, and isosceles trapezoidal hill in the solid half-space is studied. The complex model is divided into multiple subdomains by using the region matching method, then the wave functions in each subdomain are constructed by using the fractional-order Bessel function, and finally, the infinite algebraic equations for solving the unknown coefficients in the wave function are established by using the multipolar coordinate technique and the complex function method according to the boundary conditions. Fourier series is used to solve the unknown undetermined coefficients. The results show that due to the multiple reflections of the incident wave between complex landforms, surface displacement amplitude is affected by the incident angle, incident frequency, and the distance between the isosceles triangular hill, semicircle depression, and isosceles trapezoidal hill. It is found that when the incident frequency increases, there is a certain amplification effect between the hills and the depression. When the wave is incident horizontally, there is a certain “barrier” effect between hills and depression, and when the distance between the hills and depression reaches a certain level, the “barrier” effect will reach a stable value.http://dx.doi.org/10.1155/2021/9997230 |
| spellingShingle | Menghan Sun Hui Qi Scattering of Antiplane SH Waves by Complex Landforms Shock and Vibration |
| title | Scattering of Antiplane SH Waves by Complex Landforms |
| title_full | Scattering of Antiplane SH Waves by Complex Landforms |
| title_fullStr | Scattering of Antiplane SH Waves by Complex Landforms |
| title_full_unstemmed | Scattering of Antiplane SH Waves by Complex Landforms |
| title_short | Scattering of Antiplane SH Waves by Complex Landforms |
| title_sort | scattering of antiplane sh waves by complex landforms |
| url | http://dx.doi.org/10.1155/2021/9997230 |
| work_keys_str_mv | AT menghansun scatteringofantiplaneshwavesbycomplexlandforms AT huiqi scatteringofantiplaneshwavesbycomplexlandforms |