明挖卸荷引起桩侧摩阻力作用下的地铁隧道竖向变形计算
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摘要
为研究基坑明挖卸荷时复合地基中桩侧摩阻力对下卧地铁隧道竖向变形的影响,基于Mindlin应力解,推导得到复合地基中桩的侧摩阻力作用下地铁隧道的总竖向附加应力,利用双面弹性地基梁模型和两阶段分析方法,计算得到地铁隧道总竖向位移,并与前人理论计算结果、实测数据对比验证。最后,分析桩形状、桩截面面积、以及不同区域桩长度、间距的改变对桩侧摩阻力引起地铁隧道竖向位移的影响。结果表明:无论桩参数如何改变,复合地基中桩侧摩阻力对隧道竖向位移的影响范围始终不变,约为1. 1倍基坑纵向长度;材料用量相同的方桩与圆桩相比,方桩可更有效地控制下卧地铁隧道竖向变形;适当地增大隧道斜上方的桩长度,可使其更有效地控制地铁隧道竖向变形;隧道正上方的桩间距存在一个合理的取值范围;适当减少桩纵向间距比减少桩横向间距可更有效地控制下卧地铁隧道竖向变形。
In order to study the effect of pile side resistance in composite foundation on the vertical deformation of underlying metro tunnel in open cutting unloading case of the foundation pit,the total vertical additional stress of metro tunnel under pile side resistance in composite foundation was derived based on mindlin stress solution. Using foundation beam model of double elastic and two-stage method,the total vertical displacement of the metro tunnel was calculated and verified by comparison with the theoretical calculation results of the predecessors and the measured data. Finally,the effect of the change of pile shape,cross-section area,and length,spacing of piles in different areas on the vertical displacement of metro tunnel caused by pile side resistance was analyzed. The results show that no matter how the pile parameters change,the effect range of pile side resistance on tunnel vertical displacement in composite foundation remains unchanged and about 1. 1 times the longitudinal length of foundation pit;square piles with the same amount of material can control the vertical deformation of the underlying metro tunnel more effectively than circular piles; properly increasing the length of the piles aslant above the tunnel can make it more effective to control the vertical deformation of the metro tunnel; there is a reasonable value range for the distance among the piles directly above the metro tunnel; the vertical deformation of the underlying tunnel can be controlled more effectively by appropriately reducing the longitudinal distance of piles than by reducing the lateral distance of ones.
In order to study the effect of pile side resistance in composite foundation on the vertical deformation of underlying metro tunnel in open cutting unloading case of the foundation pit,the total vertical additional stress of metro tunnel under pile side resistance in composite foundation was derived based on mindlin stress solution. Using foundation beam model of double elastic and two-stage method,the total vertical displacement of the metro tunnel was calculated and verified by comparison with the theoretical calculation results of the predecessors and the measured data. Finally,the effect of the change of pile shape,cross-section area,and length,spacing of piles in different areas on the vertical displacement of metro tunnel caused by pile side resistance was analyzed. The results show that no matter how the pile parameters change,the effect range of pile side resistance on tunnel vertical displacement in composite foundation remains unchanged and about 1. 1 times the longitudinal length of foundation pit;square piles with the same amount of material can control the vertical deformation of the underlying metro tunnel more effectively than circular piles; properly increasing the length of the piles aslant above the tunnel can make it more effective to control the vertical deformation of the metro tunnel; there is a reasonable value range for the distance among the piles directly above the metro tunnel; the vertical deformation of the underlying tunnel can be controlled more effectively by appropriately reducing the longitudinal distance of piles than by reducing the lateral distance of ones.
引文
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2 郑刚,刘庆晨,邓旭.基坑开挖对下卧运营地铁隧道影响的数值分析与变形控制研究[J].岩土力学,2013,34(5):1459-1468Zheng Gang,Liu Qingchen,Deng Xu. Numerical analysis of effect of excavation on underlying existing metro tunnel and deformation control[J]. Rock and Soil Mechanics,2013,34(5):1459-1468
3 李瑛,陈金友,黄锡刚,等.大面积卸荷对下卧地铁隧道影响的数值分析[J].岩土工程学报,2013,35(增刊2):643-646Li Ying,Chen Jinyou,Huang Xigang,et al. Numerical analysis of effect of large-scale unloading on underlying shield tunnels[J]. Chinese Journal of Geotechnical Engineering,2013,35(S2):643-646
4 黄兆纬,黄信,胡雪瀛,等.基坑开挖对既有地铁隧道变位影响及技术措施分析[J].岩土工程学报,2014,36(增刊2):381-385Huang Zhaowei,Huang Xin,Hu Xueying. Influence of foundation pit excavation on displacement of existing metro tunnels and technical measures[J]. Chinese Journal of Geotechnical Engineering,2014,36 (S2):381-385
5 周丁恒,蔡永昌,陈长江,等.基坑坑底加固对下卧地铁区间隧道上浮影响的研究[J].岩土工程学报,2008,30(增刊1):95-99Zhou Dingheng,Cai Yongchang,Chen Changjiang,et al. Reinforcement method to control displacement of metro tunnels due to excavation of foundation pits[J]. Chinese Journal of Geotechnical Engineering,2008,30(S1):95-99
6 赵俊,甘鹏路,申文明,等.复合地层中基坑开挖对下卧隧道变形影响研究[J].隧道建设,2014,34(2):118-123Zhao Jun,Gan Penglu,Shen Wenming,et al. Study on influence of excavation of foundation pit on deformation of underlying tunnel in complex ground[J]. Tunnel Construction,2014,34(2):118-123
7 王定军,王尉行,刘俊景,等.基坑开挖对下卧隧道变形影响分析及合理加固范围研究[J].城市轨道交通研究,2018,21(4):43-47,52Wang Dingjun,Wang Weixing,Liu Junjing,et al. Influence of foundation pit excavation on the deformation of underlying tunnel and the reasonable reinforcement range[J]. Urban Mass Transit,2018,21(4):43-47,52
8 黄宏伟,黄栩,Schweiger F. Helmut.基坑开挖对下卧运营盾构隧道影响的数值模拟研究[J].土木工程学报,2012,45(3):182-189Huang Hongwei,Huang Xu,Schweiger F. Helmut. Numerical analysis of the influence of deep excavation on underneath existing road tunnel[J]. China Civil Engineering Journal,2012,45(3):182-189
9 高广运,高盟,杨成斌,等.基坑施工对运营地铁隧道的变形影响及控制研究[J].岩土工程学报,2010,32(3):453-459Gao Guangyun,Gao Meng,Yang Chengbin. Influence of deep excavation on deformation of operating metro tunnels and countermeasures[J]. Chinese Journal of Geotechnical Engineering,2010,32(3):453-459
10 Mindlin R D. Force at a point in the interior of a semi-infinite solid[J]. Physics,1936,7(5):195-202
11 璩继立,潘荣,唐瑞东.基于双面弹性地基梁的隧道纵向变形研究[J].水资源与水工程学报,2016,27(1):190-194Qu Jili,Pan Rong,Tang Ruidong. Study on longitudinal deformation of tunnels based on foundation beam of double elastic[J]. Journal of Water Resources and Water Engineering,2016,27(1):190-194
12张治国,张孟喜,王卫东.基坑开挖对临近地铁隧道影响的两阶段分析方法[J].岩土力学,2011,32(7):2086-2092Zhang Zhiguo,Zhang Mengxi,Wang Weidong. Two-stage method for analyzing effects on adjacent metro tunnels due to foundation pit excavation[J]. Rock and Soil Mechanics, 2011, 32(7):2086-2092
13 刘国彬,侯学渊.软土基坑隆起变形的残余应力分析法[J].地下工程与隧道,1996,28(2):2-7Liu Guobin,Hou Xueyuan. Residual stress analysis method for heaving deformation of foundation pit in soft soil[J]. Underground Engineering and Tunnel,1996,28(2):2-7
14 姜兆华,张永兴.基坑开挖对邻近隧道纵向位移影响的计算方法[J].土木建筑与环境工程,2013,35(1):7-11Jiang Zhaohua,Zhang Yongxing. Calculation of influence on longitudinal deformation of adjacent tunnels due to excavation[J]. Journal of Civil Architectural and Environmental Engineering,2013,35(1):7-11
15 魏纲,赵城丽.基坑开挖引起临近地铁隧道的附加荷载计算方法[J].岩石力学与工程学报,2016,13(增刊1):3408-3417Wei Gang,Zhao Chengli. Calculation method of additional load of adjacent metro tunnels due to foundation pit excavation[J]. Chinese Journal of Rock Mechanics and Engineering,2016,35(S1):3408-3417
16 中华人民共和国住房和城乡建设部.建筑桩基技术规范:JGJ94 —2008[S].北京:中国建筑工业出版社,2008Ministry of Housing and Urban-Rural Construction of the People’s Republic of China. Technical code for building pile foundation:JGJ94 —2008[S]. Beijing:China Architecture and Building Press,2008
17 Vesic A B. Bending of beams resting on isotropic elastic solid[J].Journal of Engineering Mechanics,1961,87(2):35-53
2 郑刚,刘庆晨,邓旭.基坑开挖对下卧运营地铁隧道影响的数值分析与变形控制研究[J].岩土力学,2013,34(5):1459-1468Zheng Gang,Liu Qingchen,Deng Xu. Numerical analysis of effect of excavation on underlying existing metro tunnel and deformation control[J]. Rock and Soil Mechanics,2013,34(5):1459-1468
3 李瑛,陈金友,黄锡刚,等.大面积卸荷对下卧地铁隧道影响的数值分析[J].岩土工程学报,2013,35(增刊2):643-646Li Ying,Chen Jinyou,Huang Xigang,et al. Numerical analysis of effect of large-scale unloading on underlying shield tunnels[J]. Chinese Journal of Geotechnical Engineering,2013,35(S2):643-646
4 黄兆纬,黄信,胡雪瀛,等.基坑开挖对既有地铁隧道变位影响及技术措施分析[J].岩土工程学报,2014,36(增刊2):381-385Huang Zhaowei,Huang Xin,Hu Xueying. Influence of foundation pit excavation on displacement of existing metro tunnels and technical measures[J]. Chinese Journal of Geotechnical Engineering,2014,36 (S2):381-385
5 周丁恒,蔡永昌,陈长江,等.基坑坑底加固对下卧地铁区间隧道上浮影响的研究[J].岩土工程学报,2008,30(增刊1):95-99Zhou Dingheng,Cai Yongchang,Chen Changjiang,et al. Reinforcement method to control displacement of metro tunnels due to excavation of foundation pits[J]. Chinese Journal of Geotechnical Engineering,2008,30(S1):95-99
6 赵俊,甘鹏路,申文明,等.复合地层中基坑开挖对下卧隧道变形影响研究[J].隧道建设,2014,34(2):118-123Zhao Jun,Gan Penglu,Shen Wenming,et al. Study on influence of excavation of foundation pit on deformation of underlying tunnel in complex ground[J]. Tunnel Construction,2014,34(2):118-123
7 王定军,王尉行,刘俊景,等.基坑开挖对下卧隧道变形影响分析及合理加固范围研究[J].城市轨道交通研究,2018,21(4):43-47,52Wang Dingjun,Wang Weixing,Liu Junjing,et al. Influence of foundation pit excavation on the deformation of underlying tunnel and the reasonable reinforcement range[J]. Urban Mass Transit,2018,21(4):43-47,52
8 黄宏伟,黄栩,Schweiger F. Helmut.基坑开挖对下卧运营盾构隧道影响的数值模拟研究[J].土木工程学报,2012,45(3):182-189Huang Hongwei,Huang Xu,Schweiger F. Helmut. Numerical analysis of the influence of deep excavation on underneath existing road tunnel[J]. China Civil Engineering Journal,2012,45(3):182-189
9 高广运,高盟,杨成斌,等.基坑施工对运营地铁隧道的变形影响及控制研究[J].岩土工程学报,2010,32(3):453-459Gao Guangyun,Gao Meng,Yang Chengbin. Influence of deep excavation on deformation of operating metro tunnels and countermeasures[J]. Chinese Journal of Geotechnical Engineering,2010,32(3):453-459
10 Mindlin R D. Force at a point in the interior of a semi-infinite solid[J]. Physics,1936,7(5):195-202
11 璩继立,潘荣,唐瑞东.基于双面弹性地基梁的隧道纵向变形研究[J].水资源与水工程学报,2016,27(1):190-194Qu Jili,Pan Rong,Tang Ruidong. Study on longitudinal deformation of tunnels based on foundation beam of double elastic[J]. Journal of Water Resources and Water Engineering,2016,27(1):190-194
12张治国,张孟喜,王卫东.基坑开挖对临近地铁隧道影响的两阶段分析方法[J].岩土力学,2011,32(7):2086-2092Zhang Zhiguo,Zhang Mengxi,Wang Weidong. Two-stage method for analyzing effects on adjacent metro tunnels due to foundation pit excavation[J]. Rock and Soil Mechanics, 2011, 32(7):2086-2092
13 刘国彬,侯学渊.软土基坑隆起变形的残余应力分析法[J].地下工程与隧道,1996,28(2):2-7Liu Guobin,Hou Xueyuan. Residual stress analysis method for heaving deformation of foundation pit in soft soil[J]. Underground Engineering and Tunnel,1996,28(2):2-7
14 姜兆华,张永兴.基坑开挖对邻近隧道纵向位移影响的计算方法[J].土木建筑与环境工程,2013,35(1):7-11Jiang Zhaohua,Zhang Yongxing. Calculation of influence on longitudinal deformation of adjacent tunnels due to excavation[J]. Journal of Civil Architectural and Environmental Engineering,2013,35(1):7-11
15 魏纲,赵城丽.基坑开挖引起临近地铁隧道的附加荷载计算方法[J].岩石力学与工程学报,2016,13(增刊1):3408-3417Wei Gang,Zhao Chengli. Calculation method of additional load of adjacent metro tunnels due to foundation pit excavation[J]. Chinese Journal of Rock Mechanics and Engineering,2016,35(S1):3408-3417
16 中华人民共和国住房和城乡建设部.建筑桩基技术规范:JGJ94 —2008[S].北京:中国建筑工业出版社,2008Ministry of Housing and Urban-Rural Construction of the People’s Republic of China. Technical code for building pile foundation:JGJ94 —2008[S]. Beijing:China Architecture and Building Press,2008
17 Vesic A B. Bending of beams resting on isotropic elastic solid[J].Journal of Engineering Mechanics,1961,87(2):35-53