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考虑土–结构相互作用,Rayleigh面波入射下隧洞衬砌的横向内力解析解至今比较少见。采用拟静力法,基于地下结构力学和平面弹性波动理论,推导出均匀介质中Rayleigh波以任意角度入射时圆形隧洞衬砌的横向内力解析解,考察土–结构交界面之间存在完全滑移和无滑移2种极限接触状态。算例表明,在Rayleigh波作用下,当其传播方向与隧洞轴向垂直时,衬砌的横向内力取得最大值,且内力在2种极限接触状态下的差别不大;与SV波作用效应相比,Rayleigh波作用下的衬砌横向内力均要大,尤其是轴力要大很多,这是由于Rayleig波中的P波分量造成的。浅埋隧洞衬砌的抗震设计,应充分重视Rayleigh波的作用效应。
Considering soil-structure interaction, the analytical solution of lateral internal force of tunnel lining under Rayleigh surface wave incidence is relatively rare so far. Based on the theory of subsurface structure mechanics and plane elastic wave, the analytical solution of transverse internal force of circular tunnel lining when the Rayleigh wave is incident on an arbitrary angle is deduced by quasi-static method and the complete slip between the soil-structure interface And no slip 2 kinds of limit contact state. The results show that when Rayleigh wave propagates perpendicularly to the axial direction of the tunnel, the lateral internal force of the lining reaches the maximum value, and the internal force does not differ greatly under the two limit contact conditions. Compared with the effect of SV wave , Rayleigh wave lining under the action of the horizontal internal forces are large, especially the axial force is much larger, which is due to the P waves in the Rayleigh wave caused. Seismic design of shallow tunnel lining should pay full attention to the effect of Rayleigh wave.