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采用波函数展开法,推导了无限介质中双层衬砌圆形洞室在P波作用下衍射问题的解析解,并结合南水北调西线1期工程3#引水隧道开展了动应力集中系数参数敏感性分析。计算结果表明,围岩和内层衬砌的弹性模量对结构的动应力集中系数影响较大,而围岩泊松比对计算结果的影响几乎可以忽略不计;围岩和衬砌之间的介质层在一定程度上具有减震作用,前提条件是其弹性模量低于围岩弹性模量的1/20,否则减震效果不明显。
The analytical solution to the diffraction problem of circular cavity with double-layer lining in P wave under infinite medium is deduced by using the wave function expansion method. Combined with the 3 # diversion tunnel in West Route 1 project of South-to-North Water Transfer Project, the parameter sensitivity of dynamic stress concentration factor analysis. The calculated results show that the elastic modulus of the surrounding rock and the lining of the lining has a great influence on the dynamic stress concentration factor of the structure, while the effect of the Poisson’s ratio of the surrounding rock on the calculation results is almost negligible. The medium layer between the surrounding rock and lining To a certain extent, has a damping effect, provided that the elastic modulus is lower than 1/20 of the elastic modulus of the surrounding rock, otherwise the damping effect is not obvious.