Analytical approach for circular‐jointed shield tunnel lining based on the state space method

• DOI: 10.1002/nag.3012
• Publication Date: 2020-01-08T22:51:07Z
• Authors: Jinchang Wang; Weiming Huang; Riqing Xu; Zhongxuan Yang; Rongqiao Xu
• Keywords: Internal forces; Overburden; Shear force

Summary This paper presents a new analytical solution to the circular segmental tunnel lining subjected overburden and surrounding earth pressures. The governing equations are derived by adopting curved Euler beam theory principle of minimum potential energy. Based on state space method, displacements relevant energy‐conjugated internal forces treated as fundamental unknown vector can be obtained solving function. inter‐segment joints modeled set linear springs, including shear, compression, rotation. presented method allows for arbitrary distribution segmented loads along circumferential direction. most striking advantages proposed include rigid body displacement treatment, lining‐displacement‐dependent soil reaction, force direction dependency joint stiffness. Using this entire conveniently simultaneously under loading conditions. verification solutions is provided several examples.