Analytical Solution for Segmental-Tunnel Lining Incorporating Interaction between Adjacent Rings

Wang, J. C.; Huang, Weiming; Yang, Z. X.; Xu, Rongqiao

doi:10.1061/(asce)em.1943-7889.0001799

Cited by 20 publications

(3 citation statements)

References 26 publications

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“…Under such requirement, behaviour of tunnel shells/segmental rings had been modelled by analytical method in many previous researches, where more factors were taken into consideration. [48][49][50][51] Mechanical responses of supported tunnels could be better numerically predicted, when embedding these analytical models of supports into numerical software. The establishment of these theoretical models and the development of new numerical methods have greatly improved the level of tunnel design.…”

Section: Discussionmentioning

confidence: 99%

“…It thus needs to reconstruct them. Under such requirement, behaviour of tunnel shells/segmental rings had been modelled by analytical method in many previous researches, where more factors were taken into consideration 48–51 . Mechanical responses of supported tunnels could be better numerically predicted, when embedding these analytical models of supports into numerical software.…”

Section: Discussionmentioning

confidence: 99%

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Study on the time‐dependent interaction between surrounding rock and yielding supports in deep soft rock tunnels

Wu,

Song,

Zhao

et al. 2023

Num Anal Meth Geomechanics

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As yielding supports can deform without being damaged, the yielding principle has attracted significant attention for tunnelling in squeezing ground compared with the heavy support method. The deformation energy of surrounding rock can be managed using yielding supports that maintain the rock pressure within the bearing capacity of the supports. However, although the yielding principle has been often applied in practical scenarios, a design method for yielding supports has yet not been well developed. This study discusses interaction between the squeezing ground and yielding supports and investigates the influence of the time‐dependent behaviour of rock on the yielding supports. The yielding supports can be implemented by the movement of sliding joints of steel arches or by shortening the yielding elements inserted in shotcrete linings. The deforming process of yielding supports can be divided into three stages: elastic a, yielding, and elastic b. A three‐stage pressure‐displacement relationship of yielding supports is proposed and a method is provided for the calculation of the support stiffnesses of yielding supports in different stages. Furthermore, a unified design approach for the yielding supports is presented and the theoretical model is established after simplifying the asymmetry of problem. The analytical solution for tunnel displacement and support pressure in a tunnel supported by the yielding supports is obtained. The proposed design method for the yielding supports is successfully applied to the Saint Martin La Porte access tunnel, and the mean tunnel deformation in this tunnel is appropriately predicted by the analytical solution. Additionally, a parametric investigation is performed based on the analytical solution, and the effects of yielding path, yielding displacement, support thickness, and installation time of the yielding supports are discussed. Finally, certain highlights of the analytical model of yielding supports in this study are identified, compared with other researches, and recommendations for the design of the yielding supports are provided. The outcome of this research has potential applications in the preliminary design of deep tunnels in squeezing ground.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Study on the time‐dependent interaction between surrounding rock and yielding supports in deep soft rock tunnels

Wu,

Song,

Zhao

et al. 2023

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

show abstract

“…e curved Euler beam theory and the principle of minimum potential energy were adopted during the derivation of governing equations. Wang et al further derived a unified analytical solution for the circular segmental tunnel lining irrespective of the layout of segmental assemblies between adjacent rings by modelling the interaction between the segments as a set of springs with threedirectional resistances [29]. Talmon and Bezuijen presented an analytical model to analyse the longitudinal bending moment in the tunnel lining during the construction phase of bored tunnels, taking into account the influence of forces from the TBM, the loading of the tunnel lining by the grout in the liquid phase, and linear elastic properties of the tunnel lining and soil [30].…”

Section: Introductionmentioning

confidence: 99%

Analytical Solutions for the Mechanical Responses of Shallow Double‐Arched Tunnel Subjected to Symmetric Loads

Yang

Dai²,

Ai³

et al. 2021

Advances in Civil Engineering

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Double-arched tunnel is a special kind of tunnel structure which is widely adopted for shallow rock tunnels. The internal forces within a double-arched tunnel are difficult to be determined due to its special geometry and complex interactions with surrounding rock masses. This paper presents a set of analytical solutions for determining the internal forces within the lining structure of shallow double-arched tunnel subjected to symmetric external loads. The double-arched tunnel is decomposed into three main parts, i.e., the arch rings, the side walls, and the middle wall. The force method and the elastic foundation beam model are employed for the arch rings and the side walls, respectively, while the middle wall is treated as a cantilever beam fixed at the bottom. Analytical solutions for the internal forces of the three parts are derived separately, which are continuous at the conjunctions of different parts. The derived analytical solutions are verified by comparing with the FEM simulation results. Finally, parametric studies are performed to investigate the influences of burial depth, elastic resistance coefficient, opening angle, and tunnel span on the internal forces based on which some recommendations are provided for the construction and design of the double-arched tunnels. The derived analytical solutions provide fast estimations for the internal forces and deformation of the double-arched lining structures, which will be a useful tool for design optimization.

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Action Path and Mechanism of Segment Joints in the Failure History of Shield Tunnel Lining

Jin

Dong

et al. 2023

KSCE J Civ Eng

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Analytical Solution for Segmental-Tunnel Lining Incorporating Interaction between Adjacent Rings

Cited by 20 publications

References 26 publications

Study on the time‐dependent interaction between surrounding rock and yielding supports in deep soft rock tunnels

Study on the time‐dependent interaction between surrounding rock and yielding supports in deep soft rock tunnels

Analytical Solutions for the Mechanical Responses of Shallow Double‐Arched Tunnel Subjected to Symmetric Loads

Action Path and Mechanism of Segment Joints in the Failure History of Shield Tunnel Lining

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