| 圆弧形沉积场地对平面瑞利波散射的解析分析 |
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| 引用本文： | 赵成刚,王磊,高福平. 圆弧形沉积场地对平面瑞利波散射的解析分析[J]. 力学学报, 2007, 39(3): 365-373. DOI: 10.6052/0459-1879-2007-3-2006-145 |
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| 作者姓名： | 赵成刚 王磊 高福平 |
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| 作者单位： | 北京交通大学土木建筑工程学院,北京,100044;中国科学院力学研究所,北京,100080 |
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| 基金项目： | 国家自然科学基金，北京市自然科学基金，北京工业大学资助项目，教育部科学技术研究项目，北京市共建城市与工程安全减灾重点实验室开放基金 |
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| 摘 要： | 分别采用Biot饱和多孔介质动力学理论和单相介质弹性动力学理论模拟层状沉积谷场地和周围场地，利用波函数展开法，得出了层状饱和沉积场地对Rayleigh波散射的解析解．进行参量分析，研究了无量纲入射波频率、层状沉积层排列顺序及相对刚度和厚度等因素对Rayleigh波散射效应的影响.
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| 关 键 词： | 层状沉积场地 平面Rayleigh波 散射 地面运动放大 饱和土 |
| 文章编号： | 0459-1879（2007）03-0365-09 |
| 收稿时间： | 2006-04-04 |
| 修稿时间： | 2006-11-23 |
SCATTERING OF PLANE RAYLEIGH WAVES BY A CIRCULAR-ARC ALLUVIAL VALLEY: AN ANALYTICAL SOLUTION |
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| Zhao Chenggang,Wang Lei,Gao Fuping. SCATTERING OF PLANE RAYLEIGH WAVES BY A CIRCULAR-ARC ALLUVIAL VALLEY: AN ANALYTICAL SOLUTION[J]. chinese journal of theoretical and applied mechanics, 2007, 39(3): 365-373. DOI: 10.6052/0459-1879-2007-3-2006-145 |
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| Authors: | Zhao Chenggang Wang Lei Gao Fuping |
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| Affiliation: | 1.School of Civil Engineering and Architecture, Beijing Jiaotong University, Beijing 100044, China;2.Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | The scattering and diffraction of plane Rayleigh waves in a circular-arc layered alluvial valley with soft-soil deposits is studied analytically in this paper. The soft sediments in the circular-arc valley are simulated by applying Biot's dynamic theory to a saturated porous medium, and the half-space is assumed as an elastic single-phase medium. In this analysis, Fourier-Bessel series expansion technique is employed to obtain the analytical solutions. Based on the analytical solutions, the effects of dimensionless frequency, the layered sediments sequence and the relative rigidity and thickness on the scattering and diffraction are investigated. |
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| Keywords: | circular-arc layered alluvial valley plane Rayleigh waves wave scattering surface displacement amplitudes saturated sediment |
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