中文摘要：

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。

英文摘要：

Considering soil-structure interaction,few analytical solutions of lateral internal forces in tunnel lining due to Rayleigh wave（R wave） have been obtained at present. In this paper,the closed-form analytical solutions for internal forces in circular tunnel lining due to R wave at any propagation angle were derived based on mechanics of underground structure and theory of elastic waves using the pseudo-static method. Two ultimate contact conditions,i.e.,the full-slippage and no-slippage along the soil-lining interface,were considered respectively. A numerical example showed that the lateral internal forces in circular tunnel lining reached the maximum values if the propagation of R wave was perpendicular to the tunnel axis and the internal force differences between two contact conditions were minor. In addition,the internal forces resulted from R wave were much higher than those from SV wave,especially the lateral axial force which was induced mainly by the component P wave contained in R wave. In seismic design of shallow tunnels,the lateral internal forces in the lining caused by R wave should be paid adequate attentions.