Longitudinal Seismic Response of a Shield Tunnel Considering Longitudinal Bolt Prestress under Transverse Excitation
Publication: International Journal of Geomechanics
Volume 24, Issue 3
Abstract
A shield tunnel is an assembled structure that is composed of segments and connecting bolts, and its longitudinal seismic response needs to be investigated. Bolt prestress is a common measure for shield tunnels, and longitudinal bolts with different prestress can affect the longitudinal deformation stiffness of shield tunnels; therefore, they affect the longitudinal seismic response characteristics of the shield tunnel. Based on this, this paper establishes a longitudinal analysis model of a shield tunnel that considers longitudinal bolt prestress and uses an iterative algorithm to study the effect of longitudinal bolt prestress on the longitudinal force and opening of shield tunnels under transverse seismic excitation. Further, the detailed seismic response characteristics of the circumferential joint are studied. The results are as follows: (1) the internal force between the segmental rings under transverse excitation of the seismic load is dominated by the vertical bending moment; (2) under the bolt prestress, the bending moment between the rings and bending stiffness reduction coefficient are nonlinearly related. When the bending moment is less than the critical value, the bending stiffness reduction coefficient is assigned to one, which means that the circumferential joint interface does not open under the collective effect of the bolt prestress and bending moment; (3) the application of the bolt prestress increases the opening of the circumferential joints in the stiffness changed area, and decreases the opening in the position far from the stiffness changed area; and (4) the segment maximum principal stress and the largest stress of the bolt increase nonlinearly and monotonically with the increase in the prestress, which is not consistent with the changing law of the largest joint opening. The research results could provide some reference for the selection of the bolt prestress in a shield tunnel in an earthquake area.
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Data Availability Statement
All data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The authors appreciate the financial support from the National Natural Science Foundation of China (Key Program, Grant No. 52130808; General Program, Grant No. 51878566; Key Program, Grant No. 2022YFE101430) and the Funds of Scientific and Technological Plan of Fujian Province (Grant No. 2022Y4015). Abaqus, Ansys, and MATLAB software are used for the numerical simulation.
References
Bao, Z., Y. Yuan, and H. Yu. 2017. “Multi-scale physical model of shield tunnels applied in shaking table test.” Soil Dyn. Earthquake Eng. 100: 465–479. https://doi.org/10.1016/j.soildyn.2017.06.021.
Chen, C., W. Zou, P. Geng, W. Gu, F. Yuan, and C. He. 2023. “Study on seismic damage risk assessment of mountain tunnel based on the extension theory.” Sustainability 15 (6): 5294. https://doi.org/10.3390/su15065294.
Chen, R.-p., F.-y. Meng, Y.-h. Ye, and Y. Liu. 2018. “Numerical simulation of the uplift behavior of shield tunnel during construction stage.” Soils Found. 58 (2): 370–381. https://doi.org/10.1016/j.sandf.2018.02.007.
Dong, Z., C. Kuo, J. Yin, S. Wen, G. Liu, and Y. Gou. 2021. “Examination of longitudinal seismic vulnerability of shield tunnels utilizing incremental dynamic analysis.” Front. Earth Sci. 9: 779879. https://doi.org/10.3389/feart.2021.779879.
Guo, X., P. Geng, Q. Wang, C. Chen, R. Tang, and Q. Yang. 2021. “Full-scale test on seismic performance of circumferential joint of shield-driven tunnel.” Soil Dyn. Earthquake Eng. 151: 106957. https://doi.org/10.1016/j.soildyn.2021.106957.
Li, X., G. Liu, X. Yang, and C. Han. 2014. “Deformation and stress of tunnel structures based on modified longitudinal equivalent continuous model.” Chin. J. Geotech. Eng. 36 (4): 662–670.
Liang, R., K. Wang, L. Huang, L. Sun, Z. Li, L. Zhang, and X. Wu. 2022. “Analytical solution for longitudinal equivalent bending stiffness of quasi-rectangular shield tunnels.” Chin. J. Geotech. Eng. 44 (2): 212–223.
Liu, J., X. Bao, D. Wang, H. Tan, and S. Li. 2019a. “The internal substructure method for seismic wave input in 3D dynamic soil-structure interaction analysis.” Soil Dyn. Earthquake Eng. 127: 105847. https://doi.org/10.1016/j.soildyn.2019.105847.
Liu, J., H. Tan, X. Bao, D. Wang, and S. Li. 2019b. “Seismic wave input method for three-dimensional soil-structure dynamic interaction analysis based on the substructure of artificial boundaries.” Earthquake Eng. Eng. Vibr. 18 (4): 747–758. https://doi.org/10.1007/s11803-019-0534-5.
Liu, J., D. Wang, and X. Bao. 2021. “Longitudinal integral response deformation method for the seismic analysis of a tunnel structure.” Earthquake Eng. Eng. Vibr. 20 (4): 887–904. https://doi.org/10.1007/s11803-021-2060-5.
Luo, Q., X. Chen, M. Gao, Z. Li, Z. Zhang, and D. Zhou. 2019. “Simulating the near-fault large velocity pulses of the Chi-Chi (Mw7.6) earthquake with kinematic model.” J. Seismolog. 23 (1): 25–38. https://doi.org/10.1007/s10950-018-9791-4.
Luo, Q., F. Dai, Y. Liu, and X. Chen. 2020. “Simulating the near-field pulse-like ground motions of the Imperial Valley, California, earthquake.” Soil Dyn. Earthquake Eng. 138: 106347. https://doi.org/10.1016/j.soildyn.2020.106347.
Luo, Q., F. Dai, Y. Liu, M. Gao, Z. Li, and R. Jiang. 2021. “Seismic performance assessment of velocity pulse-like ground motions under near-field earthquakes.” Rock Mech. Rock Eng. 54 (8): 3799–3816. https://doi.org/10.1007/s00603-021-02475-2.
Oh, J., and T. Moon. 2018. “Seismic design of a single bored tunnel: Longitudinal deformations and seismic joints.” Rock Mech. Rock Eng. 51 (3): 893–910. https://doi.org/10.1007/s00603-017-1366-0.
Sandoval, E., and A. Bobet. 2020. “The undrained seismic response of the Daikai Station.” Tunnelling Underground Space Technol. 103: 103474. https://doi.org/10.1016/j.tust.2020.103474.
Shen, J., X. Bao, X. Chen, X. Wu, and H. Cui. 2022. “Prediction of tunnel earthquake damage based on a combination weighting analysis method.” Symmetry 14 (9): 1922. https://doi.org/10.3390/sym14091922.
Sun, Q., D. Dias, and L. Ribeiro e Sousa. 2020. “Soft soil layer-tunnel interaction under seismic loading.” Tunnelling Underground Space Technol. 98: 103329. https://doi.org/10.1016/j.tust.2020.103329.
Shiba, Y., K. Kawashima, N. Obinata, and T. Kano. 1988. “An evaluation method of longitudinal stiffness of shield tunnel linings for application to seismic response analyses.” [In Japanese.] J. Geotech. Eng. 1988 (398): 319–327.
Shiba, Y., K. Kawashima, N. Obinata, and T. Kano. 1989. “Evaluation procedure for seismic stress developed in shield tunnels seismic deformation method.” [In Japanese.] J. Geotech. Eng. 1989 (404): 385–394.
Wang, Q., P. Geng, X. Guo, G. Zeng, C. Chen, and C. He. 2021. “Experimental study on the tensile performance of circumferential joint in shield tunnel.” Tunnelling Underground Space Technol. 112: 103937. https://doi.org/10.1016/j.tust.2021.103937.
Wang, Z. Z., L. Jiang, and Y. Gao. 2019. “Shaking table test of seismic response of immersed tunnels under effect of water.” Soil Dyn. Earthquake Eng. 116: 436–445. https://doi.org/10.1016/j.soildyn.2018.10.039.
Zhang, J., C. He, P. Geng, Y. He, and W. Wang. 2019. “Improved longitudinal seismic deformation method of shield tunnels based on the iteration of the nonlinear stiffness of ring joints.” Sustainable Cities Soc. 45: 105–116. https://doi.org/10.1016/j.scs.2018.11.019.
Zhang, J., Y. Yuan, Z. Bao, H. Yu, and E. Bilotta. 2020. “Shaking table tests on shaft-tunnel junction under longitudinal excitations.” Soil Dyn. Earthquake Eng. 132: 106055. https://doi.org/10.1016/j.soildyn.2020.106055.
Zhang, W., Q. Zhang, and W. Cao. 2021. “Study on stress and deformation of bolt joints of shield tunnel under static and seismic action.” KSCE J. Civ. Eng. 25 (8): 3146–3159. https://doi.org/10.1007/s12205-021-1339-4.
Zhang, W.-j., Y.-p. Zhang, and X.-l. Song. 2017. “Numerical study on mechanical behavior of bent bolted connection in shield tunnel under effect of preload.” Chin. J. Geotech. Eng. 39: 203–206. https://doi.org/10.11779/CJGE2017S2049.
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© 2024 American Society of Civil Engineers.
History
Received: Oct 22, 2022
Accepted: Sep 14, 2023
Published online: Jan 12, 2024
Published in print: Mar 1, 2024
Discussion open until: Jun 12, 2024
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