The behaviour of the segmental tunnel lining studied by the hyperstatic reaction method

Anh, Ngoc; Dias, Daniel; Oreste, Pierpaolo; Djéran-Maigre, Irini

doi:10.1080/19648189.2013.872583

Cited by 24 publications

(46 citation statements)

References 14 publications

(24 reference statements)

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“…In the new HRM method proposed by Do (2014) [6], the change of rotational spring stiffness of joints in the tunnel lining segmental through the fixity factor. In this method, consider the joint as a lengthless rotational spring is widely used in the semi-rigid analysis of structure.…”

Section: Hrm Methodsmentioning

confidence: 99%

“…"Fixity factor" is defined to reflect the relative stiffness of the beam and the rotational springs [3,6]:…”

Section: Hrm Methodsmentioning

confidence: 99%

“…The reason of the segmental lining has been used for a tunnel in a metro system that is the segmental lining is more resistant to the effects of earthquakes due to its deformability than the lining continuous. Use to equivalent method, is consider the segmental lining of the tunnel as the continuous lining but under the influence of the joints in the lining, the rigidity of the segmental lining has been reduced significantly compared to the corresponding the tunnel lining continuously with a reduced rigidity by applying a reduction factor [3,6]:…”

Section: Influence Of Segmental Jointsmentioning

confidence: 99%

“…A calculation length, l, of 1 m is usually taken to present a typical unit lining segment length, get value from 0.25 to 1.5 -Naggar et al (2008) [3,6,8].…”

Section: Influence Of Rotation Stiffness At Jointmentioning

confidence: 99%

“…The rotational stiffness values during the analysis process that were continuously updated. According to Jensen's formula [3,6], the rotation stiffness of the joint KRO is determined in stages during work of the joint: Closed of joint …”

Section: Influence Of Rotation Stiffness At Jointmentioning

confidence: 99%

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Behavior of Segmental Tunnel Linings Under the Impact of Earthquakes: A Case Study From the Tunnel of Hanoi Metro System

Alexandr¹

2018

GEOMATE

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ABSTRACT:The current metro systems have become an important part of the public transport system in major cities around the world. With the development of construction technology as well as technical requirements, the segmental tunnel lining has become the main lining used protective for tunnels. The main effect of segmental tunnel lining when it is used for tunnels that is ability strengthened stability of tunnels under the impact of earthquakes. This paper presents methods for calculating to effects of earthquakes on tunnels lining in two cases: tunnel continuous lining and segmental tunnel lining by identifying internal forces present on tunnels lining and the deformation of tunnels lining. Based on results obtained, analysis the effect of the joints for segmental tunnel lining under seismic loads and the effect of the rotation stiffness of joints to the segmental tunnel lining when have got the impact of earthquakes to the tunnel. This paper used parameters of the tunnel in Hanoi metro system as a case study.

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Section: Hrm Methodsmentioning

confidence: 99%

“…"Fixity factor" is defined to reflect the relative stiffness of the beam and the rotational springs [3,6]:…”

Section: Hrm Methodsmentioning

confidence: 99%

Section: Influence Of Segmental Jointsmentioning

confidence: 99%

“…A calculation length, l, of 1 m is usually taken to present a typical unit lining segment length, get value from 0.25 to 1.5 -Naggar et al (2008) [3,6,8].…”

Section: Influence Of Rotation Stiffness At Jointmentioning

confidence: 99%

Section: Influence Of Rotation Stiffness At Jointmentioning

confidence: 99%

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Behavior of Segmental Tunnel Linings Under the Impact of Earthquakes: A Case Study From the Tunnel of Hanoi Metro System

Alexandr¹

2018

GEOMATE

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A new numerical approach to the hyperstatic reaction method for segmental tunnel linings

Anh

Dias

Oreste

et al. 2014

Num Anal Meth Geomechanics

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SUMMARYThis paper proposes a numerical approach to the hyperstatic reaction method (HRM) for the analysis of segmental tunnel linings. The influence of segmental joints has been considered directly using a fixity ratio that is determined on the basis of the rotational stiffness. The parameters necessary for the calculation are presented. A specific implementation has been developed using a FEM framework. This code is able to consider the three-dimensional (3D) effect of segment joints in successive rings on the tunnel lining behaviour. The present HRM allows one to take an arbitrary distribution of segment joints along the tunnel boundary into consideration. In addition, the rotational stiffness of segment joints has been simulated using nonlinear behaviour, as it is closer to the true behaviour of a joint than linear or bilinear behaviour.The numerical results of three hypotheses on ring interaction, which allow the 3D effect of a segmental tunnel lining to be taken into account, have been compared with data obtained from the shield-driven tunnel of the Bologna-Florence high-speed railway line project. The numerical results presented in the paper show that the proposed HRM can be used to effectively estimate the behaviour of a segmental tunnel lining.

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

Wang

Huang

et al. 2020

Num Anal Meth Geomechanics

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

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The behaviour of the segmental tunnel lining studied by the hyperstatic reaction method

Cited by 24 publications

References 14 publications

Behavior of Segmental Tunnel Linings Under the Impact of Earthquakes: A Case Study From the Tunnel of Hanoi Metro System

Behavior of Segmental Tunnel Linings Under the Impact of Earthquakes: A Case Study From the Tunnel of Hanoi Metro System

A new numerical approach to the hyperstatic reaction method for segmental tunnel linings

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

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