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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2023-1pp.281-296

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Y.J. Liu, B.S. Huang, M.D. Yuan, and E.H. Zhu, "Mechanical Analysis of Point Anchored Rock Bolt and Double Linings Support in Circular Hydraulic Tunnel," Mech. Solids. 58 (1), 281-296 (2023)
Year 2023 Volume 58 Number 1 Pages 281-296
DOI 10.3103/S0025654422601112
Title Mechanical Analysis of Point Anchored Rock Bolt and Double Linings Support in Circular Hydraulic Tunnel
Author(s) Y.J. Liu (Guangdong Research Institute of Water Resources and Hydropower, Guangzhou, 510610 China, gdskylyj@163.com)
B.S. Huang (Guangdong Research Institute of Water Resources and Hydropower, Guangzhou, 510610 China)
M.D. Yuan (Guangdong Research Institute of Water Resources and Hydropower, Guangzhou, 510610 China)
E.H. Zhu (Guangdong Research Institute of Water Resources and Hydropower, Guangzhou, 510610 China)
Abstract Rock bolt and lining are very common and effective support ways, and they are often used together in many projects because their bearing and reinforcement effects. However, the mechanism of the two support methods in the surrounding rock is not clear, especially the theoretical analysis. Therefore, a model is put forward to analyze the mechanical behavior of a deeply buried circular hydraulic tunnel jointly supported by double-linings and point anchored rock bolts, in which rock mass, double linings and bolts maintain elastic state and are in full contact with each other. And point anchored rock bolts are creatively replaced by pairs of concentrated forces of equal magnitude and opposite direction. By using the complex function method, the linear equations for solving the axial force of the bolts and the relevant analytical function coefficients can be established, based on the stress condition of the inner boundary of the secondary lining, continuity condition between the primary lining and the surrounding rock, and continuity condition between the primary lining and the secondary lining, as well as the compatibility condition of the displacement between the bolts and the surrounding rock. Then, using the analytical functions, the stress and displacement of any point in the double linings and surrounding rock can be calculated. Besides, the influence of inner hydrostatic pressure and exchange of Young’s modulus of double linings are discussed, in which the support laws and mode of load transmission are analyzed. The results are in line with actual laws and can provide guiding suggestions for the design and construction of support works.
Keywords circular hydraulic tunnel, point anchored rock bolt, double linings, combined support, axial force of bolt, stress and displacement solution
Received 24 August 2022Revised 13 October 2022Accepted 15 October 2022
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