CAJ | 학술논문

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夹塞对平面 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组夹塞断面样本，通过对该样本在平面SH 波入射下地表位移幅值的统计分析，研究了夹塞断面形状随机性对平面 SH 波散射的影响．结果表明，夹塞断面形状随机性对平面 SH 波的散射具有重要影响．以圆形夹塞为例，当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0．71．随着入射频率的升高，变异系数逐渐增大；随着夹塞刚度的降低，变异系数逐渐增大；随着夹塞埋深的增加，变异系数逐渐减小．
채용파함수전개법급변계리산적방법급출료임의단면형상적지하협새대평면 SH 파산사적반해석해；이용몽특잡라방법수궤모의산생료30조협새단면양본，통과대해양본재평면SH 파입사하지표위이폭치적통계분석，연구료협새단면형상수궤성대평면 SH 파산사적영향．결과표명，협새단면형상수궤성대평면 SH 파적산사구유중요영향．이원형협새위례，당단면반경적변이계수위0．1시，지표위이향응폭치변이계수가체0．71．수착입사빈솔적승고，변이계수축점증대；수착협새강도적강저，변이계수축점증대；수착협새매심적증가，변이계수축점감소．
The semi-analytical solution of scattering of plane SH waves by un-derground inclusion with arbitrary cross-section in half-space is presented using wave functions expansion method combined with boundary discrete method. Monte Carlo method is used to randomly generate 30 samples for cross-section shape of the inclusion,and the effect of cross-section-shape randomness on scat-tering of plane SH waves are studied by statistical analysis of the surface dis-placement amplitudes.It is shown that,cross-section-shape randomness has significant effect on the scattering of SH waves around an inclusion in half-space.When the variation coefficient of inclusion radius is equal to 0.1,for an inclusion of circular shape,the variation coefficient of surface displacement am-plitude may be up to 0.71.The variation coefficient increases as the incident frequency increases.The variation coefficient increases as the inclusion rigidity decreases.The variation coefficient decreases as the inclusion depth increases.