Analytical solution for seismic response of tunnels with composite linings in elastic ground subjected to Rayleigh waves. Issue 153 (February 2022)

• Record Type: Journal Article
• Authors: Zhao, Wusheng; Chen, Weizhong; Yang, Diansen; Gao, Hou; Xie, Peiyao
• Is Part Of: Soil dynamics and earthquake engineering. Issue 153(2022)
• Publication Date: 2022-02
• Subjects: Tunnel -- Composite linings -- Rayleigh waves -- Imperfect interface -- Isolation layer; Soil dynamics -- Periodicals; Earthquake engineering -- Periodicals; Sols -- Dynamique -- Périodiques; Génie parasismique -- Périodiques; 624.176205
• DOI: 10.1016/j.soildyn.2021.107113
• Languages: English
• ISSNs: 0267-7261

Abstract

Abstract: In this study, a simple method was proposed to calculate the equivalent loadings in ground induced by Rayleigh waves at the critical second. Subsequently, a closed-form solution was established for the seismic response of tunnels with composite linings subjected to Rayleigh waves. The composite linings were modelled as thick-walled cylinders, and the displacements across interfaces were assumed to be discontinuous to consider the ground (lining)-lining interactions. Lastly, parametric studies were conducted to evaluate the effects of Rayleigh waves, the interface stiffness, and the isolation layer on the seismic performance of tunnels. The results show that decreasing the interface stiffness or installing a soft layer could effectively decrease the internal forces in the inner lining but increase the internal forces in the outer lining. This study can be used to verify relevant numerical solutions and to facilitate the seismic design of tunnels with composite linings subjected to Rayleigh waves. Highlights: The equivalent loadings induced by Rayleigh waves at the critical second are calculated. An analytical solution for the response of composite-lining tunnels under Rayleigh waves is derived. Displacements across ground/lining-lining interfaces are assumed to be discontinuous. Effects of interface stiffness and isolation layer on the tunnel response are assessed.