基坑开挖引起下方纵向斜穿地铁隧道的隆起变形分析
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TU456.3

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国家自然科学(51568006; 51978179);广西自然科学基金面上项目(2018JJA160134)


Analysis of uplift deformation of the longitudinal obliquely passing metro tunnel caused by the excavation of foundation pit
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National Natural Science Foundation of China(51568006; 51978179);Guangxi Natural Science Foundation of China(2018JJA160134)

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    摘要:

    为研究基坑开挖对下方纵向斜穿地铁隧道的影响,通过两阶段分析法提出理论解析解。第一阶段,引入了隧道纵向夹角β,考虑了隧道的纵向坡度,使用Mindlin解得到基坑卸荷作用在下方纵向斜穿隧道上的附加应力,第二阶段,将隧道视为搁置在Pasternak地基模型上的Timoshenko长梁,通过有限差分法求解出隧道隆起变形以及内力的计算式,并通过数值模拟算例进行验证,并与基于Euler-Bernoulli梁模型和Winkler地基模型的算法和传统算法的计算结果进行对比。结果表明:采用Euler-Bernoulli梁计算将低估隧道的隆起变形,采用Winkler地基计算将高估隧道的隆起变形;传统算法给出的隧道最大隆起值有10.5%的误差;传统算法给出的弯矩和剪力的最大误差分别为25.48%和30.14%。

    Abstract:

    To study the effect of pit excavation on the longitudinal diagonal subway tunnel below, a theoretical analytical solution is proposed by the two-stage analysis method. In the first stage, the longitudinal included angle β of the tunnel is introduced, and the longitudinal slope of the tunnel is taken into account. The unloading acts on the additional stress on the longitudinal oblique tunnel below. In the second stage, the tunnel is regarded as a Timoshenko long beam resting on the Pasternak foundation model. The calculation formulas for the tunnel uplift deformation and internal force are solved by the finite difference method, and passed Numerical simulation examples are verified and compared with the calculation results of traditional algorithms based on Euler-Bernoulli beam model and Winkler foundation model. The results show that the calculation of Euler-Bernoulli beam will underestimate the uplift deformation of the tunnel, and the calculation of Winkler foundation will overestimate the uplift deformation of the tunnel; the maximum uplift value of the tunnel given by the traditional algorithm has an error of 10.5%; the bending moment given by the traditional algorithm The maximum error of and shear force is 25.48% and 30.14% respectively.

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赵维,梁亚华,江杰,等. 基坑开挖引起下方纵向斜穿地铁隧道的隆起变形分析[J]. 科学技术与工程, 2022, 22(9): 3688-3695.
Zhao Wei, Liang Yahua, Jiang Jie, et al. Analysis of uplift deformation of the longitudinal obliquely passing metro tunnel caused by the excavation of foundation pit[J]. Science Technology and Engineering,2022,22(9):3688-3695.

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  • 收稿日期:2021-07-04
  • 最后修改日期:2021-11-14
  • 录用日期:2021-11-16
  • 在线发布日期: 2022-03-25
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