| 半球形沉积谷场地对入射平面Rayleigh波的三维散射解析解 |
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| 引用本文： | 韩铮,赵成刚.半球形沉积谷场地对入射平面Rayleigh波的三维散射解析解[J].岩土力学,2007,28(12):2607-2613. |
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| 作者姓名： | 韩铮 赵成刚 |
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| 作者单位： | 北京交通大学土建学院,北京,100044 |
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| 基金项目： | 国家自然科学基金;北京工业大学、教育部与北京市共建城市与工程安全减灭重点实验室开放基金 |
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| 摘 要： | 把半球形沉积谷和周围半空间场地分别用具有不同弹性模量和不同半径的球坐标描述。利用Fourier-Bessel级数展开法,在频域内给出了半空间中半球形沉积谷场地在平面Rayleigh波入射下三维散射问题的解析解。利用这一解析解计算分析了入射波频率、场地软硬对场地内地表位移幅值的影响。
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| 关 键 词： | 平面Rayleigh波 半球形沉积谷 三维半空间散射 解析解 |
| 文章编号： | 1000-7598-（2007）12-2607-07 |
| 收稿时间： | 2005-12-07 |
| 修稿时间： | 2006-03-09 |
Analytical solution of three-dimensional scattering and diffraction of plane Rayleigh-waves bya hemispherical alluvial valley with saturated soil deposit |
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| HAN Zheng,ZHAO Cheng-gang.Analytical solution of three-dimensional scattering and diffraction of plane Rayleigh-waves bya hemispherical alluvial valley with saturated soil deposit[J].Rock and Soil Mechanics,2007,28(12):2607-2613. |
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| Authors: | HAN Zheng ZHAO Cheng-gang |
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| Institution: | School of Civil Engineering and Architecture, Beijing Jiaotong University, Beijing 100044, China |
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| Abstract: | The three-dimensional scattering and diffraction of plane Rayleigh-waves by a hemispherical valley is studied.The deposit and the half space is simulated by elastic single-phase media.The Fourier-Bessel series expansion technique is used to get the analytical solution for the first time.The results of surface displacement amplitudes are presented;and the effects of frequency and angle of incident waves on the surface displacement amplitudes are discussed. |
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| Keywords: | Rayleigh-waves three-dimensional scattering hemispherical valley analytical solution |
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