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。
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.
出处
《岩土力学》
EI
CAS
CSCD
北大核心
2006年第2期209-213,218,共6页
Rock and Soil Mechanics
关键词
表面波
瑞利波
振型
频散曲线
刚度矩阵
特征值
surface wave
Rayleigh wave
mode
dispersion
stiffness matrix
eigenvalue
