Multiple Scattering of P1 Waves by Arbitrarily Arranged Cavities in Saturated Soils
Based on Biot’s saturated soil wave theory, using wave function expansion method, theoretical solutions of multiple scattering of plain P1 waves are achieved by rows of cavities as barrier with arbitrarily arranged cavities in saturated soil. Undetermined complex coefficients after wave function exp...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2018/4217127 |
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| _version_ | 1832548630860398592 |
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| author | Miaomiao Sun Huajian Fang Xiaokang Zheng Ru Zhang Shimin Zhang Lianying Zhou |
| author_facet | Miaomiao Sun Huajian Fang Xiaokang Zheng Ru Zhang Shimin Zhang Lianying Zhou |
| author_sort | Miaomiao Sun |
| collection | DOAJ |
| description | Based on Biot’s saturated soil wave theory, using wave function expansion method, theoretical solutions of multiple scattering of plain P1 waves are achieved by rows of cavities as barrier with arbitrarily arranged cavities in saturated soil. Undetermined complex coefficients after wave function expansion are obtained by cavities-soil stress and displacement free boundary conditions. Numerical examples are used to investigate variation of dimensionless displacement amplitude at the back and force of cavities barrier under P1 wave incident, and it is also discussed that the main parameters influenced isolation effect such as scattering orders, separation of cavities, distances between cavity rows, numbers of cavities, and arrangement of barriers. The results clearly demonstrate optimum design proposals with rows of cavities: with the multiple scattering order increases, the displacement amplitude tends to converge and the deviation caused by subsequent scattering cannot be neglected; it will obtain higher calculation accuracy when the order of scattering is truncated at m=4; it is considered to select 2.5≤sp/as≤3.0 and 2.5≤h/as≤3.5, while designing cavity spacing and row-distance, respectively. The isolation properties of elastic waves with rectangular arrangement (counterpoint) are weaker than that with hexagonal arrangement (counterchanged) when the row-distance of barrier is uniform. |
| format | Article |
| id | doaj-art-b5ca7be211624f15a4865baacecf672a |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-b5ca7be211624f15a4865baacecf672a2025-02-03T06:13:36ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/42171274217127Multiple Scattering of P1 Waves by Arbitrarily Arranged Cavities in Saturated SoilsMiaomiao Sun0Huajian Fang1Xiaokang Zheng2Ru Zhang3Shimin Zhang4Lianying Zhou5Zhejiang University City College, Hangzhou, Zhejiang 310015, ChinaZhejiang Institute of Hydraulics and Estuary, Hangzhou, Zhejiang 310020, ChinaZhejiang University City College, Hangzhou, Zhejiang 310015, ChinaZhejiang University City College, Hangzhou, Zhejiang 310015, ChinaZhejiang University City College, Hangzhou, Zhejiang 310015, ChinaZhejiang University City College, Hangzhou, Zhejiang 310015, ChinaBased on Biot’s saturated soil wave theory, using wave function expansion method, theoretical solutions of multiple scattering of plain P1 waves are achieved by rows of cavities as barrier with arbitrarily arranged cavities in saturated soil. Undetermined complex coefficients after wave function expansion are obtained by cavities-soil stress and displacement free boundary conditions. Numerical examples are used to investigate variation of dimensionless displacement amplitude at the back and force of cavities barrier under P1 wave incident, and it is also discussed that the main parameters influenced isolation effect such as scattering orders, separation of cavities, distances between cavity rows, numbers of cavities, and arrangement of barriers. The results clearly demonstrate optimum design proposals with rows of cavities: with the multiple scattering order increases, the displacement amplitude tends to converge and the deviation caused by subsequent scattering cannot be neglected; it will obtain higher calculation accuracy when the order of scattering is truncated at m=4; it is considered to select 2.5≤sp/as≤3.0 and 2.5≤h/as≤3.5, while designing cavity spacing and row-distance, respectively. The isolation properties of elastic waves with rectangular arrangement (counterpoint) are weaker than that with hexagonal arrangement (counterchanged) when the row-distance of barrier is uniform.http://dx.doi.org/10.1155/2018/4217127 |
| spellingShingle | Miaomiao Sun Huajian Fang Xiaokang Zheng Ru Zhang Shimin Zhang Lianying Zhou Multiple Scattering of P1 Waves by Arbitrarily Arranged Cavities in Saturated Soils Shock and Vibration |
| title | Multiple Scattering of P1 Waves by Arbitrarily Arranged Cavities in Saturated Soils |
| title_full | Multiple Scattering of P1 Waves by Arbitrarily Arranged Cavities in Saturated Soils |
| title_fullStr | Multiple Scattering of P1 Waves by Arbitrarily Arranged Cavities in Saturated Soils |
| title_full_unstemmed | Multiple Scattering of P1 Waves by Arbitrarily Arranged Cavities in Saturated Soils |
| title_short | Multiple Scattering of P1 Waves by Arbitrarily Arranged Cavities in Saturated Soils |
| title_sort | multiple scattering of p1 waves by arbitrarily arranged cavities in saturated soils |
| url | http://dx.doi.org/10.1155/2018/4217127 |
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