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现实中衬砌隧道穿越沉积谷地十分常见,而国内外对其地震响应规律研究较少。基于MATLAB编程平台,采用间接边界积分方程法,就沉积谷地衬砌隧道对平面SH波的散射问题进行了初步探讨。研究了不同频率、隧道埋深与入射角度对地表位移和衬砌内外壁动应力集中因子的影响,并比较了沉积谷地中隧道与半空间隧道两种情况下的差别。结果表明:软土沉积中隧道衬砌动应力集中更为显著;高频波入射下,隧道埋深对沉积区域内位移分布、衬砌应力频谱特性和地表位移频谱特性均有较大影响。研究结论可为沉积谷地中衬砌隧道抗震设计与安全性评估提供定量依据。
In fact, it is very common for the lining tunnel to cross the sedimentary valleys, but there are few researches on its seismic response both at home and abroad. Based on the MATLAB programming platform, the indirect boundary integral equation method is used to discuss the scattering of plane SH wave in the valley tunnel. The effects of different frequencies, tunnel depth and incident angle on the surface displacement and dynamic stress concentration factor of the inner and outer walls of the lining are studied. The differences between the tunnels in the valley and the half-space tunnel are compared. The results show that the stress concentration of tunnel lining in soft soil is more significant. Under the incident of high frequency wave, the tunnel depth has a great influence on the displacement distribution, the stress spectrum of lining and the spectrum of surface displacement. The conclusion can provide a quantitative basis for seismic design and safety assessment of lining tunnel in sedimentary valleys.