Ground Vibration Isolation of Multiple Scattering by Using Rows of Tubular Piles as Barriers
A new formal solution for the multiple scattering of plane harmonic waves by a group of arbitrary configuration tubular piles in an elastic total space is derived. Each order of scattering satisfies prescribed boundary conditions at the interface of tubular piles, which is delivered as the sum of in...
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| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2014/894213 |
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| _version_ | 1832562094901297152 |
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| author | Miao-miao Sun Guo-qian Liang Tang-dai Xia Xiu-liang Chen Jing-lin Qian Hua-jian Fang Xue-mei Li Xiao-li Wan |
| author_facet | Miao-miao Sun Guo-qian Liang Tang-dai Xia Xiu-liang Chen Jing-lin Qian Hua-jian Fang Xue-mei Li Xiao-li Wan |
| author_sort | Miao-miao Sun |
| collection | DOAJ |
| description | A new formal solution for the multiple scattering of plane harmonic waves by a group of arbitrary configuration tubular piles in an elastic total space is derived. Each order of scattering satisfies prescribed boundary conditions at the interface of tubular piles, which is delivered as the sum of incident and scattering waves. The first order performs the scattering wave by each scattered pile and the subsequent orders resulted from the excitation of each pile of first order of scattering from the remaining tubular piles. Advanced scattering orders can be regarded as the same manners. Several series of scattering coefficients are figured out with the aids of addition theorem so that the exact steady-state solution for the scattered displacement and stress is obtained. Particularly, when internal diameter of tubular piles tends to be infinitely small, it degenerates to a solid pile problem. By imposing the normalized displacement amplitudes and transmissibility indices, the influences of specific parameters such as scattering orders, internal and external diameter ratio of piles, pile material rigidity, position and distances between tubular pile and pile rows, and pile numbers are discussed. Certain recommended conclusions have been drawn as the guidelines of practical engineering design for discontinuous barrier of tubular piles. |
| format | Article |
| id | doaj-art-043f370fdc4840428e888faba0f5188b |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-043f370fdc4840428e888faba0f5188b2025-02-03T01:23:23ZengWileyShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/894213894213Ground Vibration Isolation of Multiple Scattering by Using Rows of Tubular Piles as BarriersMiao-miao Sun0Guo-qian Liang1Tang-dai Xia2Xiu-liang Chen3Jing-lin Qian4Hua-jian Fang5Xue-mei Li6Xiao-li Wan7Zhejiang University City College, Hangzhou 310015, ChinaZhejiang Tongji Vocational College of Science and Technology, Hangzhou 311231, ChinaInstitute of Geotechnical Engineering, Zhejiang University, Hangzhou 310058, ChinaZhejiang Institute of Hydraulics and Estuary, Hangzhou 310020, ChinaZhejiang Institute of Hydraulics and Estuary, Hangzhou 310020, ChinaZhejiang Institute of Hydraulics and Estuary, Hangzhou 310020, ChinaZhejiang Institute of Hydraulics and Estuary, Hangzhou 310020, ChinaZhejiang Institute of Hydraulics and Estuary, Hangzhou 310020, ChinaA new formal solution for the multiple scattering of plane harmonic waves by a group of arbitrary configuration tubular piles in an elastic total space is derived. Each order of scattering satisfies prescribed boundary conditions at the interface of tubular piles, which is delivered as the sum of incident and scattering waves. The first order performs the scattering wave by each scattered pile and the subsequent orders resulted from the excitation of each pile of first order of scattering from the remaining tubular piles. Advanced scattering orders can be regarded as the same manners. Several series of scattering coefficients are figured out with the aids of addition theorem so that the exact steady-state solution for the scattered displacement and stress is obtained. Particularly, when internal diameter of tubular piles tends to be infinitely small, it degenerates to a solid pile problem. By imposing the normalized displacement amplitudes and transmissibility indices, the influences of specific parameters such as scattering orders, internal and external diameter ratio of piles, pile material rigidity, position and distances between tubular pile and pile rows, and pile numbers are discussed. Certain recommended conclusions have been drawn as the guidelines of practical engineering design for discontinuous barrier of tubular piles.http://dx.doi.org/10.1155/2014/894213 |
| spellingShingle | Miao-miao Sun Guo-qian Liang Tang-dai Xia Xiu-liang Chen Jing-lin Qian Hua-jian Fang Xue-mei Li Xiao-li Wan Ground Vibration Isolation of Multiple Scattering by Using Rows of Tubular Piles as Barriers Shock and Vibration |
| title | Ground Vibration Isolation of Multiple Scattering by Using Rows of Tubular Piles as Barriers |
| title_full | Ground Vibration Isolation of Multiple Scattering by Using Rows of Tubular Piles as Barriers |
| title_fullStr | Ground Vibration Isolation of Multiple Scattering by Using Rows of Tubular Piles as Barriers |
| title_full_unstemmed | Ground Vibration Isolation of Multiple Scattering by Using Rows of Tubular Piles as Barriers |
| title_short | Ground Vibration Isolation of Multiple Scattering by Using Rows of Tubular Piles as Barriers |
| title_sort | ground vibration isolation of multiple scattering by using rows of tubular piles as barriers |
| url | http://dx.doi.org/10.1155/2014/894213 |
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