Abstract Dynamic responses of a long tunnel in a horizontally layered viscoelastic ground subjected to inclined SH waves are analyzed by Fourier transform in this paper. The tunnel is assumed to be a beam. The free field displacement of the horizontally layered viscoelastic ground is imposed on the long tunnel through the viscoelastic foundation model. The analytical solution is verified through comparison with numerical solutions and other solutions in the literature. Based on the solution, the difference between rigid bases and elastic bases is clarified, and the influence of pressure-dependent effect is discussed. Parametric analyses on the incident angle and the flexibility ratio are also performed. The solution can be easily used in the preliminary seismic analysis and design of tunnels.

中文翻译：

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层状粘弹性地基中长隧道在倾斜SH波作用下的动力响应

摘要 本文采用傅里叶变换分析了水平层状粘弹性地基长隧道在倾斜SH波作用下的动力响应。隧道假定为梁。通过粘弹性地基模型对长隧道施加水平层状粘弹性地基的自由场位移。通过与数值解和文献中的其他解进行比较，验证了解析解。在此基础上，明确了刚性底座和弹性底座的区别，讨论了压力依赖效应的影响。还对入射角和柔度比进行了参数分析。该解决方案可轻松用于隧道的初步抗震分析和设计。