Analytical solution for a jointed shield tunnel lining reinforced by secondary linings

• DOI: 10.1016/j.ijmecsci.2020.105813
• Publication Date: 2020-06-06T14:56:32Z
• Authors: Q.J. Chen; J.C. Wang; W.M. Huang; Z.X. Yang; R.Q. Xu
• Keywords: Internal forces; Joint stiffness

Abstract Based on the curved Euler beam theory, an analytical solution is proposed for a jointed shield tunnel lining reinforced by secondary linings, which can be idealized as a partial-interaction composite curved beam. The effect of joints and the interaction between linings and surrounding soils are simulated by a series of linear mechanical springs and Winkler type springs, respectively. The solutions for the internal forces and deformations can be derived by the state space method for conditions involving arbitrary loadings and variable joint distributions. The capability of the proposed analytical solution is verified by the finite element method and other existing analytical solutions. Furthermore, the effect of bending-direction-dependent joint stiffness is discussed, and the variation trends of internal forces and deformations, varying with soil reaction stiffness, are examined under different joint stiffness conditions.