The Effects of Tangential Ground–Lining Interaction on Segmental Lining Behavior Using the Beam-Spring Model

Pham, Anh The; Sugimoto, M.

doi:10.3390/app10031084

Cited by 6 publications

(5 citation statements)

References 19 publications

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“…The normal section reinforcement structure of the shield segment is shown in Figure 4. The concrete grade of the segment is C50, the diameter of the main reinforcement is 18 mm, the diameter of the stirrup is 8 mm, and the steel bar model is HRB400 [27,28].…”

Section: Parameters Of Lining Structurementioning

confidence: 99%

“…Zhu et al [26] used the shell-spring model and the beam-spring model to compare and analyze the through-seam and staggered-seam assembly of lining segments. Pham et al [27] clarified the influence and mechanism of tangential stratum-lining interaction on segment behavior. Sun et al [28] proposed a segment structure model based on the shell-spring model and improved the simulation method of segment joints.…”

Section: Introductionmentioning

confidence: 99%

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Comparative Analysis and Safety Evaluation of Shield Segment Structure Model under Surcharge Loading

Liu,

Jiang,

et al. 2023

Materials

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In shield tunneling projects, the selection of an accurate model to calculate the mechanical response of segment structure plays a crucial role in the design and cost of the project. The shell–spring and beam–spring models are two widely used methods for this purpose. However, it is still not clear how accurate and different these models are in calculation results under surcharge load. Therefore, to accurately calculate the internal forces and deformation of the segment structure and clarify the difference between the two models’ results, the shell–spring and beam–spring models were established based on a subway shield tunnel project in Zhengzhou city. The reliability of the models was verified by comparing and analyzing the differences in deformation results between the models and field measurements. Furthermore, the safety of the segment structure was evaluated according to the ultimate bearing capacity of the normal section. The results declare that: (1) In the shell–spring model, the internal force gradually reduces from the edges towards the center of the segment width, and the shield segment exhibits a prominent non-plane strain state. (2) The internal force of the beam–spring model is larger than that of the shell–spring model. The axial force difference between the two models is relatively small; meanwhile, there is a larger disparity in the bending moment. However, with an increase in surcharge loading, the discrepancy in internal forces between the two models gradually decreases. (3) The calculation results of the shell–spring model are close to the field-measured values and the shield tunnel model test values, which verifies the accuracy and reliability of the shell–spring model. Therefore, it is more reasonable to use the shell–spring model to calculate the mechanical response of the segment structure. (4) With an increase in surcharge loading, the safety of the shield tunnel decreases gradually. Therefore, surcharge loading above the shield tunnel should be reasonably controlled to meet the requirements of the normal use of the shield segment. This manuscript aims to provide a reference for the future design and optimization of the shield tunnels’ lining structure.

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Section: Parameters Of Lining Structurementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Comparative Analysis and Safety Evaluation of Shield Segment Structure Model under Surcharge Loading

Liu,

Jiang,

et al. 2023

Materials

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“…For the second method of reducing the moment of inertia, the length of the straight beam spread from the modified uniform rigidity ring can be calculated using Equation (19):…”

Section: Reduction Of Bending Rigidity By Reducing the Moment Of Inertiamentioning

confidence: 99%

“…The beam-spring model, which involves the longitudinal joint bending stiffness as the key parameter, behaves close to the actual state of the installed segment ring [14,15]. The existing research regarding the beam-spring model mainly concentrates on the factors affecting the longitudinal joint bending stiffness and how the longitudinal joint bending stiffness affects the internal force and deformation [3,[16][17][18][19]. Because of the limitations of all these methods, deviations among these studies are expected.…”

Section: Introductionmentioning

confidence: 99%

Algorithm for an Effective Ratio of the Transverse Bending Rigidity Based on the Segment Joint Bending Stiffness

et al. 2022

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An algorithm for calculating the effective ratio of the transverse bending rigidity is established based on the segment longitudinal joint bending stiffness. With the knowledge of this effective ratio, the bending rigidity of a modified uniform rigidity ring is fully defined. To verify this developed algorithm, the effective ratios and convergence deformations of the modified uniform rigidity rings obtained with different methods are compared. Moreover, the responses of the modified uniform rigidity ring model under loading obtained from this algorithm are compared to those obtained with the existing generally accepted beam-spring model. The results show that although the bending moments obtained from these two models are different, the axial forces, horizontal convergent deformations, and vertical convergent deformations are quite consistent with each other. The modified uniform rigidity ring model built on the developed effective ratio algorithm is applicable for the analysis of the tunnel convergence deformation and the interaction between the tunnel structure and the ground during operation. This modified uniform rigidity ring model is simpler and easier to use than the beam-spring model; thus, the significance of the developed algorithm for the effective ratio of the transverse bending rigidity is demonstrated.

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“…Sugimoto [21] proposed a tunnel lining frame structure analysis model based on nonlinear subgrade reaction coefficient curves. Anh The Pham [22] conducted parameter studies based on nonlinear subgrade reaction coefficient curves, indicating the occurrence of tensile stresses in shallow-buried tunnels in soft soil foundations. Although nonlinear characteristics of ground reaction have been proposed in analytical calculations, they have not been widely applied in numerical simulations.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation Study Considering Discontinuous Longitudinal Joints in Soft Soil under Symmetric Loading

He,

Xu,

Yang

2024

Symmetry

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In shield tunneling, the joint is one of the most vulnerable parts of the segmental lining. Opening of the joint reduces the overall stiffness of the ring, leading to structural damage and issues such as water leakage. Currently, the Winkler method is commonly used to calculate structural deformation, simplifying the interaction between segments and soil as radial and tangential Winkler springs. However, when introducing connection springs or reduction factors to simulate the joint stiffness of segments, the challenge lies in determining the reduction coefficient and the stiffness of the springs. Currently, the hyperstatic reflection method cannot simulate the discontinuity effect at the connection of the tunnel segments, while the state space method overlooks the nonlinear interaction between the tunnel and the soil. Therefore, this paper proposes a numerical simulation method considering the interaction between the tunnel and the soil, which is subjected to compression rather than tension, and the discontinuity of the joints between the segments. The model structure and external load are symmetrical, resulting in symmetrical calculation results. This method is based on the soft soil layers and shield tunnel structures of the Shanghai Metro, and the applicability of the model is verified through deformation calculations using three-dimensional laser scanning point clouds of sections from the Shanghai Metro Line 5. When the subgrade reaction coefficient is 5000 kN/m3, the model can effectively simulate the deformation of operational tunnels. By adjusting the bending stiffness of individual connection springs, we investigate the influence of bending stiffness reduction on the bending moment, radial displacement, and rotational displacement of the ring. The results indicate that a decrease in joint bending stiffness significantly affects the mechanical response of the ring, and the extent and degree of this influence are correlated with the joint position and the magnitude of joint bending stiffness.

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The Effects of Tangential Ground–Lining Interaction on Segmental Lining Behavior Using the Beam-Spring Model

Cited by 6 publications

References 19 publications

Comparative Analysis and Safety Evaluation of Shield Segment Structure Model under Surcharge Loading

Comparative Analysis and Safety Evaluation of Shield Segment Structure Model under Surcharge Loading

Algorithm for an Effective Ratio of the Transverse Bending Rigidity Based on the Segment Joint Bending Stiffness

Numerical Simulation Study Considering Discontinuous Longitudinal Joints in Soft Soil under Symmetric Loading

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