摘要
采用波函数展开法及边界离散的方法给出了任意断面形状的地下洞室对平面SH波散射的半解析解,利用蒙特卡罗方法随机模拟产生了30组洞室断面样本,通过对30组地下洞室在平面SH波入射下地表动力响应的统计分析,研究了洞室断面形状随机性对地表响应的影响。研究表明,洞室断面形状随机性对波的散射具有重要影响。当洞室断面半径的变异系数为0.1时,地表位移响应幅值变异系数可达0.97。当入射频率较低时,变异系数比较小;而随着频率的升高,变异系数逐渐增大。当波垂直入射时,变异系数较小;当波水平入射时,变异系数最大;当波斜入射时,变异系数介于二者之间。当洞室埋深较小时,变异系数较大;随着埋深增加,变异系数逐渐减小。
The semi-analytical solution of scattering of plane SH-waves by arbitrary cross-section underground cavi- ty in half-space is presented by using wave functions expansion method combined with boundary discrete method. Monte Carlo method is used to randomly generated 30 samples for cross-section shape of the cavity, and the effect of cross-section-shape randomness on scattering of plane SH waves are studied by statistical analysis of surface dis- placement amplitudes. It is shown that cross-section-shape randomness has significant effect on the scattering of SH waves around a cavity in half-space. When the variation coefficient of cavity radius is equal to 0.1, the variation coefficient of surface displacement may be up to 0.97. The variation coefficient is low for low incident frequency and increases as the incident frequency increases. The variation coefficient is the lowest for vertical incidence of waves, and the highest for horizontal incidence of waves, and falls in between for oblique incidence of waves. The variation coefficient is high for shallow cavity and low for deep cavity.
出处
《地震工程与工程振动》
CSCD
北大核心
2014年第1期1-7,共7页
Earthquake Engineering and Engineering Dynamics
基金
国家自然科学基金项目(50978183)
天津市应用基础研究重点项目(12JCZDJC29000)
关键词
地下洞室
断面形状
平面SH波
散射
波函数展开法
半解析解
蒙特卡洛方法
underground cavity
cross-section shape
od
semi-analytical solution
Monte Carlo methodplane SH wave
scattering
wave function expansion meth-
