외부 하중에 따른 세그먼트 라이닝 변형과 보강용 내부 강재 라이닝의 거동 특성

이경주,송기일 사단법인 한국터널지하공간학회 2024 한국터널지하공간학회논문집 Vol.26 No.3

쉴드TBM 터널에서 단면 부족이나 큰 변형이 세그먼트 라이닝의 안정성에 우려될 경우 터널 외부에 지반 그라우팅으로 보강하거나 터널 내부에 강판 보강, 링 빔 보강, Inner double layer lining으로 보강하는 경우가 있다. 또한, 기존의 쉴드 TBM 터널의 해석은 세그먼트라이닝의 분절 특성을 고려하지 않는 연속체의 강성일체법으로 해석되어왔다. 본 연구는 내부 강재 라이닝으로 보강한 double layer 보강 단면에 대해 보강 메커니즘을 연구하였다. 본 연구는 세그먼트 라이닝에 대한 모델링을 개선하여 세그먼트 라이닝의 분절 특성을 고려한 분절체 모델링(BJM)을 적용하였고 이를 통해 세그먼트 라이닝의 변형 특성을 반영한 double layer 보강 단면을 해석하였다. 연구 결과 기존 콘크리트 세그먼트 라이닝은 하중을 일정부분 분담하는 역할이 아닌 터널 주변 지반을 보강한 것과 같은 역할을 하였다. 일반적으로, 세그먼트 라이닝의 분절을 고려한 BJM 모델과 분절을 고려하지 않는 강성일체법 모두 하중을 받은 라이닝의 변형 형상과 응력 분포가 유사하게 나타났다. 그러나 하중의 강도가 임계치를 넘는 경우 변형의 양상에 차이가 있으며 변형 특성을 보다 면밀히 검토할 수 있는 것으로 나타났다. If there are concerns about the stability of segment lining due to section deficiency or large deformation in shield TBM tunnel, reinforcement can be done through ground grouting outside the tunnel or by using steel plate reinforcement, ring beam reinforcement, or inner double layer lining inside the tunnel. Traditional analyses of shield TBM tunnels have been conducted using a continuum method that does not consider the segmented nature of segment lining. This study investigates the reinforcement mechanism for double layer reinforced sections with internal steel linings. By improving the modeling of segment lining, this study applies Break-joint mode (BJM), which considers the segmented characteristics of segment lining, to analyze the deformation characteristics of double layer reinforced sections. The results indicate that the existing concrete segment lining functioned similarly to ground reinforcement around the tunnel, rather than distribution the load. In general, both the BJM model considering the segmentation of segment lining and the continuum rigid method were similar deformation shapes and stress distributions of the lining under load. However, in termsof deformation, when the load strength exceeded the threshold, the deformation patterns of the two models differed.

Ovality가 세그먼트 라이닝의 동적 거동 특성에 미치는 영향

이경주,송기일 사단법인 한국터널지하공간학회 2023 한국터널지하공간학회논문집 Vol.25 No.6

Shield TBM tunnel linings are segmented into segments and rings. This study investigates the response characteristics of the stress and displacement of the segment lining under seismic waves through modeling that considers the interface behavior between segments by applying a shell interface element to the contact surface between segments and rings. And there is no management criteria for ovaling deformation of segment linings in Korea. So, this study the ovality criteria and meaning of segment lining. The results of study showed that the distribution patterns of stress and displacement under seismic waves were similar between continuous linings and segment linings. However, the maximum values of stress and displacement showed differences from segment linings. The stress distribution of the continuous lining modeled as a shell type has a stress distribution that has continuity in the 3D cylindrical shape, but the segment lining is concentrated outside the segment, and the largest stress occurs at the location where the contact surface between the segment and the ring is concentrated. This intermittent and localized stress distribution shows an increasing as the ovality of the lining increases at seismic waves. The ovality at which the increase in stress distribution begins to show irregularity and localization is about 150‰. Ovality of 150‰ is an unrealistic value that cannot represent actual lining deformation. Therefore, the ovality of the segment lining increase with depth, but it does not have a significant impact on the stability caused by seismic load.

Numerical Investigation of the Segmental Lining Performance for a Shield Tunnel

Fan Yang,Guang Liu,Yan-qiao Wang,Si-kun Yu 대한토목학회 2022 KSCE Journal of Civil Engineering Vol.26 No.5

The performance of segmental linings in China's Yellow River Crossing Tunnel is studied as a case study, and a complete three-dimensional numerical model is developed for the segmental joint to perform a bending test and reproduce the joint rotational performance. Besides, an improved three-dimensional solid-spring model together with a straightforward two-dimensional beam-spring model are presented for the segmental lining to take the influences of the joint into account. The bending test shows that the rotation stiffness of joints presents complex and nonlinear characteristics. The segmental lining simulation reveals that the segmental joint has little impact on the axial forces of the lining. However, the bending rigidity of the segmental lining corresponding to the joint location is weakened, which leads to discontinuous stress distribution, decreased bending moments and increased deformations. According to the comparison, the proposed three-dimensional solid-spring model excluding contact has the advantage of mesh generation, and it is capable of reproducing the three-dimensional segmental lining effects. The proposed two-dimensional beam-spring model combined with the calculation methods of all the spring stiffnesses is an effective and further simplified method for the segmental lining modeling, which incorporates the influences of the joint and staggered format.

Stress and strain state in the segmental linings during mechanized tunnelling

Do, Ngoc-Anh,Oreste, Pierpaolo,Dias, Daniel,Antonello, Croce,Djeran-Maigre, Irini,Livio, Locatelli Techno-Press 2014 Geomechanics & engineering Vol.7 No.1

The application of the mechanized tunnelling has been extended in recent years. There are at present different approaches that are used in the design of segmental tunnel linings supported in mechanized tunnels. Even though segmental lining is utilized for mechanized tunnels, its behaviour is still quite unclear under in situ stress and there is a lack of data regarding the distribution of stresses inside segmental linings. So far no single effective calculation method exists for segmental lining design. The lack of clear solutions makes the use of segmental lining to be more expensive due to the adoption of greater safety factors. Therefore, a particular attention must be given in order to obtain data from monitored tunnels which permits to validate design methods. In this study, strain measurements, which were conducted during the construction of twin tunnels in the Bologna-Florence railway line, have been presented. The behaviour of segmental lining during the excavation and the influence of a new tunnel excavation on an existing tunnel have been shown through the measured data. The data are then compared with the results obtained with Einstein and Schwartz's method and Duddeck and Erdmann's method, which permits to highlight the fact that the two analytical methods underestimate structural forces induced in the segmental lining and then must be used with caution.

조인트 버스팅을 고려한 세그먼트 라이닝 구조해석 및 설계방법

김홍문,김현수,정혁일 사단법인 한국터널지하공간학회 2018 한국터널지하공간학회논문집 Vol.20 No.6

Segment lining applied to the TBM tunnel is mainly made of concrete, and it requires sufficient structural capacity to resist loads received during the construction and also after the completion. When segment lining is design to the Limit State Design, both Ultimate Limit State (ULS) and Service Limit State (SLS) should be met for the possible load cases that covers both permanent and temporary load cases - such as load applied by TBM. When design segment lining, it is important to check structural capacity at the joints as both temporary and permanent loads are always transferred through the segment joints, and sometimes the load applied to the joint is high enough to damage the segment - so called bursting failure. According to the various design guides from UK (PAS 8810, 2016), compression stress at the joint surface can generate bursting failure of the segment. This is normally from the TBM’s jacking force applied at the circumferential joint, and the lining’s hoop thrust generated from the permanent loads applied at the radial joint. Therefore, precast concrete segment lining’s joints shall be designed to have sufficient structural capacity to resist bursting stresses generated by the TBM’s jacking force and by the hoop thrust. In this study, bursting stress at the segment joints are calculated, and the joint’s structural capacity was assessed using Leonhardt (1964) and FEM analysis for three different design cases. For those three analysis cases, hoop thrust at the radial joint was calculated with the application of the most widely used limit state design codes Eurocode and AASHTO LRFD (2017). For the circumferential joints bursting design, an assumed TBM jack force was used with considering of the construction tolerance of the segments and the eccentricity of the jack’s position. The analysis results show reinforcement is needed as joint bursting stresses exceeds the allowable tensile strength of concrete. This highlights that joint bursting check shall be considered as a mandatory design item in the limit state design of the segment lining. 쉴드 TBM터널에 적용되는 세그먼트 라이닝은 주로 콘크리트로 제작되며, 시공 중 및 완공 후 작용 하중에 견딜 수 있는충분한 강도가 요구된다. 한계상태설계법에 의한 세그먼트라이닝 설계는 주로 극한하중상태(ULS) 및 사용하중상태(SLS)에 대하여 검토하며, 상시하중과 임시하중에 대하여 발생 가능한 조합을 구성하여 적용한다. 또한 TBM에 의한 시공을 고려한 한계상태 설정과 구조해석이 필요하며, 특히 세그먼트라이닝은 현장에서 조립되어 원형구조물을 완성하는방식이기 때문에, 콘크리트표면이 접촉하는 조인트가 필수적으로 존재하며 이 조인트를 통해 상당한 크기의 압축응력이전달되므로 조인트에 대한 구조검토가 중요하다. 일반적으로 세그먼트 라이닝의 원주방향 조인트(circumferential joint)와 반경방향 조인트(radial joint)에서의 인장응력에 대하여 FEM모델이나 이론식으로 검토한다. 영국의 설계지침(PAS 8810, 2016)에 의하면, 버스팅을 일으키는 조인트에서의 압축응력은 원주방향 조인트(circumferential joint)에잭 추력을 가하는 경우뿐만 아니라 반경방향 조인트(radial joint)에 축력이 전달되는 경우에도 발생하므로 버스팅 응력을 검토하여 세그먼트의 인장강도와 비교하여 필요할 경우 보강을 하여야 한다. 본 연구에서는 대표적인 한계상태설계코드인 EURO CODE와 AASHTO LRFD (2017)의 하중조건을 적용하여 조인트 응력을 비교 분석하였고, FEM해석을 통하여 버스팅(bursting)을 유발하는 조인트응력을 평가하고 발생경향을 이론식과 비교 분석하였다. 분석결과, 조인트 응력이 콘크리트의 허용 인장강도를 초과하는 경우가 발생하여 보강이 필요한 것으로 검토되었다. 따라서 조인트 버스팅 검토는 세그먼트라이닝 한계상태설계 시 설계항목으로 비중 있게 고려할 필요가 있다.

Energy Lining Segment 적용성 평가를 위한 기초연구

한상현(Sang-Hyun Han),박시삼(Sisam Park) 한국지반신소재학회 2013 한국지반신소재학회 논문집 Vol.12 No.4

지열 에너지는 지구에 저장된 활용하기 쉬운 재생에너지 이며, 열교환 배관 시스템을 통해 수집될 수 있다. 본 연구에서는 터널 주변 라이닝에 지열 에너지를 포집할 수 있는 열교환 파이프 루프를 간편하게 설치할 수 있는 시스템을 개발하였다. 터널 세그먼트에 결합된 열 교환 파이프 루프 시스템은 수송 유체 순환을 통해, 지중 주변의 열을 인근 구조물 또는 지역의 냉난방 열원으로 사용할 수 있다. 터널 세그먼트에 통합 연결된 열 교환 파이프 루프 시스템을 에너지 라이닝 세그먼트(Energy Lining Segment)이라고 명하도록 하겠다. 유럽에서는 터널 라이닝에 열 교환 파이프 루프 시스템을 통합한 수차례의 사례가 있다. 본 연구에서는 에너지 라이닝 세그먼트에 대한 적용성 평가를 위해, 독일 사례와 유럽 도시에 적용된 사례를 조사해 보았다. 또한, 에너지 라이닝 세그먼트의 열 전도특성을 파악하기 위해, 전산유체해석(CFD)을 수행해 보았다. Geothermal energy is easy to take advantage of renewable energy stored in the earth and the heat exchanger can be collected through a heat exchange piping system. In this study, have been developed a heat exchange pipe loop system which it could be installed in tunnel segmental linings to collect geothermal energy around the tunnel. The heat exchange pipe loop system incorporated in the tunnel segments circulate fluid to transport with heat from the surrounding ground and the heat can be used for heating and cooling of nearby structures or districts. The segmental lining incorporating heat exchange pipe loop system are called as ELS (Energy Lining Segment). There are a number of examples incorporating a heat exchange pipe loop system in a tunnel lining in Europe. In this study, a field case using Energy Lining Segment in Germany and applications in urban area are thoroughly examined. In addition, a CFD (Computational Fluid Dynamics) analysis was carried out to investigate heat flow in Energy Lining Segment.

Dynamic responses of shield tunnel structures with and without secondary lining upon impact by a derailed train

Yan, Qixiang,Li, Binjia,Deng, Zhixin,Li, Bin Techno-Press 2018 Structural Engineering and Mechanics, An Int'l Jou Vol.65 No.6

The aim of this study was to investigate the mechanical responses of a high-speed railway shield tunnel subjected to impact by a derailed train, with emphasis on the protective effect of the secondary lining. To do so, the extended finite element method was used to develop two numerical models of a shield tunnel including joints and joint bolts, one with a cast-in-situ concrete secondary lining and one without such a lining. The dynamic responses of these models upon impact were analyzed, with particular focus on the distribution and propagation of cracks in the lining structures and the mechanical responses of the joint bolts. The numerical results showed that placing a secondary lining significantly constricted the development of cracking in the segmental lining upon the impact load caused by a derailed train, reduced the internal forces on the joint bolts, and enhanced the safety of the segmental lining structure. The outcomes of this study can provide a numerical reference for optimizing the design of shield tunnels under accidental impact loading conditions.

세그먼트 라이닝의 열차 진동하중에 대한 동적 응답특성

이경주,송기일 사단법인 한국터널지하공간학회 2023 한국터널지하공간학회논문집 Vol.25 No.4

Unlike NATM tunnels, Shield TBM tunnels have split linings. Therefore, the stress distribution of the lining is different even if the lining is under the same load. Representative methods for analyzing the stress generated in lining in Shield TBM tunnels include Non-joint Mode that does not consider connections and a 2-ring beam-spring model that considers ring-to-ring joints and segment connections. This study is an analysis method by Break-joint Mode. However, we do not consider the structural role of segment lining connections. The effectiveness of the modeling is verified by analyzing behavioral characteristics against vibration loads by modeling with segment connection interfaces to which vertical stiffness and shear stiffness, which are friction components, are applied. Unlike the Non-joint mode, where the greatest stress occurs on the crown for static loads such as earth pressure, the stress distribution caused by contact between segment lining and friction stiffness produced the smallest stress in the crown key segment where segment connections were concentrated. The stress distribution was clearly distinguished based on segment connections. The results of static analysis by earth pressure, etc., produced up to seven times the stress generated in Non-joint mode compared to the stress generated by Break-joint Mode. This result is consistent with the stress distribution pattern of the 2-ring beam-spring model. However, as for the stress value for the train vibration load, the stress of Break-joint Mode was greater than that of Non-joint mode. This is a different result from the static mechanics concept that a segment ring consisting of a combination of short members is integrated in the circumferential direction, resulting in a smaller stress than Non-jointmode with a relatively longer member length.

Dynamic responses of shield tunnel structures with and without secondary lining upon impact by a derailed train

Qixiang Yan,Binjia Li,Zhixin Deng,Bin Li 국제구조공학회 2018 Structural Engineering and Mechanics, An Int'l Jou Vol.65 No.6

The aim of this study was to investigate the mechanical responses of a high-speed railway shield tunnel subjected to impact by a derailed train, with emphasis on the protective effect of the secondary lining. To do so, the extended finite element method was used to develop two numerical models of a shield tunnel including joints and joint bolts, one with a cast-in-situ concrete secondary lining and one without such a lining. The dynamic responses of these models upon impact were analyzed, with particular focus on the distribution and propagation of cracks in the lining structures and the mechanical responses of the joint bolts. The numerical results showed that placing a secondary lining significantly constricted the development of cracking in the segmental lining upon the impact load caused by a derailed train, reduced the internal forces on the joint bolts, and enhanced the safety of the segmental lining structure. The outcomes of this study can provide a numerical reference for optimizing the design of shield tunnels under accidental impact loading conditions.

Experimental Analysis of Shield TBM Tunnel Lining Mechanical Behaviour in an Anisotropically-Jointed Rock Mass

Xiongyu Hu,Yong Fang,Gabriel Walton,Chuan He 대한토목학회 2019 KSCE JOURNAL OF CIVIL ENGINEERING Vol.23 No.6

Jointed rock masses represent a challenging geological environment for tunnel boring machine (TBM) tunneling at great depth. Especially in the case of rock masses that have anisotropic strength and deformation characteristics, the segmental lining is susceptible to asymmetrical loading and local instabilities during tunneling. This paper presents the results of experimental tests and numerical simulations of the interaction between an anisotropic rock mass and the segmental lining of a tunnel. In the tests, we considered different lateral pressure coefficients (σh/σv), joint dip angles, and joint spacings. In the numerical simulations, different joint cohesions, friction angles, and tensile strengths were considered in order to study the effects of joint mechanical parameters on the behaviour of the liner and to evaluate quantitative trends of this effect on the liner. We studied the internal force, deformation, and fracture of the segmental lining. It was shown that, under isotropic in situ stress (σh/σv = 1), the anisotropy of the rock masses was a major control on the deformation and damage of the liner, with the maximum positive bending moment and tensile cracks on the liner developing mainly at the direction normal to the stratification. When loaded by increasingly anisotropic in situ stress states (σh/σv > 1), the deformation of the liner and the characteristics of the damage were observed to become increasingly influenced by the major principal stress and, correspondingly, less controlled by the anisotropy of the rock structure. The smaller joint spacing tended to induce larger rock mass pressure on the liner, thereby resulting in greater internal force and deformation of the liner. According to the results of the numerical simulations, the internal force on the liner and its deformation increased markedly with decreasing joint friction angle and cohesion values. The response of the internal force and deformation of the liner to the change in the joint tensile strength was relatively small.