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隧道建设（中英文） ›› 2020, Vol. 40 ›› Issue (12): 1733-1741.DOI: 10.3973/j.issn.2096-4498.2020.12.007

• 研究与探索 • 上一篇    下一篇

基于传递矩阵的平顶直墙地铁车站横向管棚受力变形计算方法研究

宋卓华1， 董立朋2， 陶连金1,*， 赵旭1， 张宇1   

  1. （1. 北京工业大学 城市与工程安全减灾教育部重点实验室， 北京 100124；2. 中铁隧道局集团有限公司， 广东 广州 511458）
  • 出版日期:2020-12-20 发布日期:2021-01-03
  • 作者简介:宋卓华（1996—），男，河北定州人，北京工业大学土木工程专业在读硕士，研究方向为岩土与地下工程。E-mail: songzhuohua@emails.bjut.edu.cn。 *通信作者： 陶连金， E-mail: ljtao@bjut.edu.cn。
  • 基金资助:
    国家重点研发计划（2017YFC0805403）； 国家自然科学基金项目（41877218）

Research on Calculation Method for Stress and Deformation of Transverse Pipe Roof in Subway Station with Rectangular Crosssection Based on Transfer Matrix

SONG Zhuohua1, DONG Lipeng2, TAO Lianjin1, *, ZHAO Xu1, ZHANG Yu1   

  1. （1. Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology, Beijing 100124, China; 2. China Railway Tunnel Group Co., Ltd., Guangzhou 511458, Guangdong, China）
  • Online:2020-12-20 Published:2021-01-03

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摘要： 平顶直墙地铁车站PBA工法施工可以采用管棚先行支护。针对PBA法暗挖平顶直墙地铁车站密布横向管棚结构，通过总结管棚“荷载－梁模型”中弹性地基梁、简支梁、固支梁3种简化方法及其计算原理，以北京地铁19号线平安里站工程为背景，采用上述3种模型计算管棚受力变形，并与实测值进行比较分析，然后针对不同工程参数和地质参数进行受力变形影响分析。结果表明： 1）弹性地基梁模型计算弯矩和跨中挠度处于固支梁模型和简支梁模型计算结果之间，其中弹性地基梁模型和简支梁模型计算结果较符合实测数据；但简支梁模型和固支梁模型无法体现导洞侧壁处挠度，且无法体现地层参数的影响以及钢管壁厚对受力的影响。2）最大弯矩值出现在简支梁的跨中，建议在设计时以简支梁模型计算跨中弯矩进行包络，以保证施工安全。3）开挖跨度和覆土厚度（荷载）对弯矩和挠度影响较大，其中跨度影响最大。4）基床系数和钢管壁厚对管棚弯矩影响较小，但对减小挠度有一定作用。

关键词: PBA法地铁车站, 横向管棚, 荷载－梁理论, 传递矩阵法, 弹性地基梁, 简支梁, 固支梁

Abstract: The pipe roof support can be used in metro station with rectangular crosssection constructed by PBA method in advance. The transverse pipe roof is densely arranged in PBA mined metro station with rectangular crosssection. Firstly, the simplified methods and calculation mechanisms of elastic foundation beam, simply supported beam and clamped beam of the "loadbeam model" of pipe roof are summarized. And then, the three models of elastic foundation beam, simply supported beam and clamped beam are used to calculate the stress and deformation of pipe roof of Ping′anli Station on Beijing Metro Line No. 19, and the calculation results are compared with monitoring results. Finally, the influence factor analysis is carried out on stress and deformation of pipe roof of different projects with different geological parameters. The research results show that: (1) The bending moments and midspan deflections calculated by elastic foundation beam model are between the results calculated by clamped beam model and simply supported beam model, and the results calculated by the elastic foundation beam and the simply supported beam model are more consistent with the measured data; however, the models of simply or clamped supported beam can not reflect the deflection at the sidewall and the influence of the formation parameters and the pipe thickness. (2) The maximum bending moment occurs in the midspan of simply supported beam, thus the security can be ensured by using midspan moments of simply supported beams. (3) The excavation span and soil thickness (load) affect the bending moment and deflection of pipe roof greatly, and the influence of span is greater. (4) The foundation bed coefficient and pipe thickness affect the bending moment of pipe roof little, while they can reduce the deflection to a certain extent.

Key words: PBA metro station, transverse pipe roof, loadbeam theory, transfer matrix method, elastic foundation beam, simply supported beam, clamped beam

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