采用波函数的Fourier-Bessel级数展开方法,得到了SV波入射时,大型引水隧道平面地震响应的解析解,并对建立的场地模型进行数值计算.计算结果表明:SV波入射时,引水隧道衬砌的径向动应力随隧道内径的增大而增大,径向动应力的最大值与隧道内径呈线性关系,SV波入射引起的引水隧道衬砌的切向动应力随隧道内径的增大而增大.当入射角小于临界角时,切向动应力受隧道内径变化的影响很大.此外,引水隧道衬砌的径向动应力随衬砌厚度的增大而增大,切向动应力则随衬砌厚度的增大而减小.
The Fourier-Bessel series expansion method is used to obtain the analytical solution of largescale water diversion tunnel's seismic response induced by plane SV wave. The numerical results of the model are obtained by using the analytical solution. The research results show that both the dynamic radial stress and dynamic tangential stress of water diversion tunnel lining increase as the tunnel radius increases, and the maximum of dynamic radial stress is proportional to tunnel radius. Moreover, tunnel radius has a significant effect on dynamic tangential stress when the incident angle is less than the critical angle. In addition, dynamic radial stress increases and dynamic tangential stress decreases as the increase of lining thickness.