Abstract：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.
岳庆霞，李 杰. 近似Rayleigh地震波作用下地下综合管廊响应分析[J]. 防灾减灾工程学报，2008，25(4)：409–416.(YUE Qingxia，LI Jie. Response analysis of utility tunnel in earthquake of approximate Rayleigh waves[J]. Journal of Disaster Prevention and Mitigation Engineering，2008，25(4)：409–416.(in Chinese))
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HASHASH Y M A，HOOK J J，SCHMIDT B，et al. Seismic design and analysis of underground structures [J]. Tunnelling and Underground Space Technology，2001，16(4)：247–293.
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2016, Vol. 35 
