| 瑞利波特性刚度矩阵分析方法 |
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| 引用本文： | 柴华友,白世伟,刘明贵,卢应发.瑞利波特性刚度矩阵分析方法[J].岩土力学,2006,27(2):209-213. |
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| 作者姓名： | 柴华友 白世伟 刘明贵 卢应发 |
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| 作者单位： | 1. 中国科学院武汉岩土力学研究所，武汉 430071；2. 中国科学院研究生院，北京 100081； 3. 华中理工科技大学 土木工程与力学学院，武汉 430074 |
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| 摘 要： | 沿水平方向从半无限体分层系统截取出有限厚度分层固体系统，截取边界设置为刚性边界。将固体系统分层细化，由刚度矩阵方法可得到表面波在该系统频散特性，利用瑞利波位移在底层衰减特性从表面振型波可筛选出瑞利振型波，这些瑞利振型波与某一频率范围半无限体分层系统瑞利振型波对应，其频率下限与截取厚度有关，截取厚度越大，频率下限越小。同时还分析了分层细化厚度、截取厚度与分析频率关系。
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| 关 键 词： | 表面波 瑞利波 振型 频散曲线 刚度矩阵 特征值。 |
| 文章编号： | 1000-7598-（2006）02-0209-05 |
| 收稿时间： | 2004-08-25 |
| 修稿时间： | 2004-08-252005-07-06 |
Analysis of behaviours of Rayleigh waves by stiffness matrix method |
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| CHAI Hua-you,BAI Shi-wei,LIU Ming-gui,LU Ying-fa.Analysis of behaviours of Rayleigh waves by stiffness matrix method[J].Rock and Soil Mechanics,2006,27(2):209-213. |
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| Authors: | CHAI Hua-you BAI Shi-wei LIU Ming-gui LU Ying-fa |
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| Institution: | 1. Institute of Rock and Soil Mechanics, Chinese Academy of Sciences,Wuhan 430071, China; 2. Graduate School, Chinese Academy of Sciences, Beijing 100081, China; 3. College of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China |
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| Abstract: | A layered solid system with limited depth is cut off from a layered halfspace in horizontal direction. Rigid boundary is set for the bottom of the layered solid system. The layers of the solid system are divided into mini-layers. The dispersions of surface waves are obtained by stiffness matrix method. The dispersions of Rayleigh mode waves can be filtered out from dispersions of surface waves according to attenuation behaviour of vertical displacement of Rayleigh waves in bottom layer. The Rayleigh mode waves in the layered solid are corresponding to ones in layered halfspace within a certain range of frequency. The lower limit of frequency is related to thickness of layered solid. The bigger the thickness is, the smaller the lower limit of frequency is. The relationships between thicknesses of mini-layers, the thickness of layered solid and interested frequencies are analyzed. |
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| Keywords: | surface wave Rayleigh wave mode dispersion stiffness matrix eigenvalue |
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