考虑埋深与剪切效应的基坑卸荷下卧
隧道的形变响应

doi:10.16285/j.rsm.2019.0904

岩土力学 ›› 2020, Vol. 41 ›› Issue (S1): 195-207.doi: 10.16285/j.rsm.2019.0904

考虑埋深与剪切效应的基坑卸荷下卧隧道的形变响应

徐日庆^{1, 2}，程康^{1, 2}，应宏伟^{1, 2, 3}，林存刚^{4, 5}，梁荣柱⁶，冯苏阳^{1, 2}

1. 浙江大学滨海和城市岩土工程研究中心，浙江杭州 310058；2. 浙江省城市地下空间开发工程技术研究中心，浙江杭州 310058； 3. 河海大学岩土工程科学研究所，江苏南京 210098；4. 挪威岩土工程研究所，奥斯陆 0806 挪威； 5. 同济大学岩土及地下工程教育部重点实验室，上海 200092；6. 中国地质大学(武汉) 工程学院，湖北武汉 410074

收稿日期:2019-05-19 修回日期:2019-10-08 出版日期:2020-06-19 发布日期:2020-06-09
通讯作者: 应宏伟，男，1971年生，博士，教授，主要从事地下工程、地基处理等方面的教学和科研。E-mail: ice898@zju.edu.cn E-mail:xurq@zju.edu.cn
作者简介:徐日庆，男，1962年生，博士，教授，博士生导师，主要从事土的本构关系、土与结构相互作用方面的研究工作
基金资助:
国家自然科学基金项目（No.41672264，No.41702313，No.41807262）；浙江省重点研发计划项目（No.2018C03G2010707）。

Deformation response of a tunnel under foundation pit unloading considering buried depth and shearing effect

XU Ri-qing^{1, 2}, CHENG Kang^{1, 2}, YING Hong-wei^{1, 2, 3}, LIN Cun-gang^{4, 5}, LIANG Rong-zhu⁶, FENG Su-yang^{1, 2}

1. Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou, Zhejiang 310058, China; 2. Engineering Research Center of Urban Underground Development of Zhejiang Province, Hangzhou, Zhejiang 310058, China; 3. Institue of Geotechnical Engineering Science, Hohai University, Nanjing, Jiangsu 210098, China; 4. Norwegian Geotechnical Institute, Oslo 0806, Norway; 5. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China; 6. Faculty of Engineering, China University of Geosciences(Wuhan), Wuhan, Hubei 430074, China

Received:2019-05-19 Revised:2019-10-08 Online:2020-06-19 Published:2020-06-09
Supported by:
This work was supported by the National Natural Science Foundation of China(41672264, 41702313, 41807262) and Key Research and Development Program of Zhejiang Province(2018C03G2010707).

摘要/Abstract

摘要： 基坑卸荷将对下卧既有隧道产生附加荷载。结合工程实际，提出考虑隧道剪切效应及埋深效应的基坑开挖下卧隧道形变响应的半解析解。引入能考虑隧道埋深的修正基床反力系数，再由Mindlin解给出基坑卸荷对下卧隧道产生的附加荷载。视既有隧道为埋置于Pasternak地基上的Timoshenko梁，将附加荷载施加于隧道并计算其响应，提出可考虑隧道埋深及剪切效应的下卧隧道在基坑卸荷下的响应解。与三维有限元数值模拟、杭州地铁一号线九寨河基坑的测量结果的对比，验证了所提方法的准确性。针对隧道等效抗弯刚度、等效剪切刚度对隧道内力及变形的影响进行系统的敏感性分析。结果表明，采用Timoshenko梁模拟隧道可更好地分析隧道的力学响应；当提高隧道抗弯刚度，隧道的位移值、弯矩值和剪力值会显著下降，但其分布范围会增大；隧道最大正弯矩及最大剪力所在位置保持不变，不受隧道抗弯刚度值的影响，但最大负弯矩所在位置会随抗弯刚度的增大向隧道两端移动，当隧道剪切刚度超过抗弯刚度的20%时隧道位移、弯矩、剪力几乎均不再受剪切刚度的影响。所得结论可为类似工程提供一定理论支持。

关键词: 深度效应, 既有隧道, 基坑卸荷, Timoshenko梁, 剪切效应

Abstract: Foundation pit unloading will create additional loads on the underlying existing tunnel. Based on the engineering practice, a semi-analytical solution considering the effect of foundation depth and tunnel shear effect is proposed to predict the longitudinal response of tunnel caused by the above excavation. A modified subgrade reaction coefficient considering different buried depth of tunnel is introduced, additional pressure induced by excavation is given based on the Mindin solution. By regarding the tunnel as a Timoshenko beam resting on the Pasternak foundation, the longitudinal deformations of the tunnel are analyzed. Compared with the three-dimensional finite element method and the measurements of the Jiusha river foundation pit crossing the No. 1 metro line in Hangzhou, the accuracy of the proposed method is verified. The effects of bending stiffness and shear stiffness on the response of the tunnel are systematically analyzed. The results suggest that the mechanical response of tunnels could be better analyzed with the Timoshenko beam model. Increasing bending stiffness can effectively reduce the displacement, moment and shear of the tunnel, but increase the distribution range of them. At the same time, the increase of bending stiffness will not affect the location of maximum positive bending moment and the location of maximum shear force but will make the location of the maximum negative bending moment move toward both ends of the tunnel. When the shear stiffness exceeds 20% of the bending stiffness, the displacement and the bending moment, as well as the shear force of the tunnel, is hardly affected by the shear stiffness. The conclusions can provide some theoretical support for similar projects.

Key words: depth effect, existing tunnel, unloading of foundation pit, Timoshenko beam, shearing effect

中图分类号:

U452

徐日庆, 程康, 应宏伟, 林存刚, 梁荣柱, 冯苏阳, . 考虑埋深与剪切效应的基坑卸荷下卧隧道的形变响应[J]. 岩土力学, 2020, 41(S1): 195-207.

XU Ri-qing, CHENG Kang, YING Hong-wei, LIN Cun-gang, LIANG Rong-zhu, FENG Su-yang, . Deformation response of a tunnel under foundation pit unloading considering buried depth and shearing effect[J]. Rock and Soil Mechanics, 2020, 41(S1): 195-207.

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考虑埋深与剪切效应的基坑卸荷下卧隧道的形变响应

Deformation response of a tunnel under foundation pit unloading considering buried depth and shearing effect

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考虑埋深与剪切效应的基坑卸荷下卧 隧道的形变响应

Deformation response of a tunnel under foundation pit unloading considering buried depth and shearing effect

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考虑埋深与剪切效应的基坑卸荷下卧隧道的形变响应