摘要
针对地下圆形衬砌洞室对入射平面SH波的散射问题.采用波函数展开法求解出其三维级数解,利用其级数解,定量分析了入射波长、入射角度、洞室直径、衬砌刚度等因素对洞室附近地震动的影响.结果表明:入射波的频率η对位移幅值有重要的影响,当入射频率较高时,水平和轴向地表位移幅值可以分别达到无洞室情况的7.8和1.6倍以上;入射角度和衬砌刚度对地表位移幅值也有较大影响,随着波入射角度δ2的增加,位移幅值逐渐减小,衬砌情况下半空间表面x与z方向位移幅值与无衬砌情况相比分别高出了62.38%和58.42%.
The series solution for the scattering of plane SH waves by a cylindrical lined cavity was used to quantitatively analyze the effects of incident wavelength, incident angle, diameter of cavity, and lined stiffness on ground motion near the cavity. The results show that： the dimensionless frequency η of the incident SH waves affects the surface displacement amplitudes greatly. For incident high-frequency waves, the surface displacement amplitudes can be 7.8（horizontal direction, along X-axis） and 1.6（axial direction, along Z-axis） times of that for the case of without the tunnel; the incident angle has great effect on surface displacement amplitudes which can decrease gradually as the incident angle increases; the liner of the cavity also affects the surface displacement amplitudes greatly, the surface displacement amplitudes with a lined cavity can be 62.38%（horizontal direction, along X-axis）, 58.42%（horizontal direction, along Z-axis） more than that of the cavity without the liner.
出处
《辽宁工程技术大学学报（自然科学版）》
CAS
北大核心
2014年第3期409-412,共4页
Journal of Liaoning Technical University (Natural Science)
基金
辽宁省教育厅高等学校科研计划基金资助项目(2008058)
关键词
圆形衬砌洞室
SH波
散射
波函数展开法
三维级数解
入射波频率
衬砌刚度
位移幅值
cylindrical lined cavity
SH waves
scattering
series expansion method
3-D series solution
incident wavelength
lined stiffness
displacement amplitudes
