地表移动荷载对既有地下隧洞动力影响解析研究

曹志刚; 孙思; 袁宗浩; 蔡袁强

doi:10.11779/CJGE201812014

地表移动荷载对既有地下隧洞动力影响解析研究 English Version

1. 浙江大学滨海和城市岩土工程研究中心,浙江杭州 310058;
2. 浙江工业大学岩土工程研究所,浙江杭州 310014

基金项目: 国家重点研发计划项目（2016YFC0800200）; 国家自然科学基金项目（51578500,51778571,51708503）; 中国博士后科学基金资助项目（2017M621967）

详细信息

作者简介:
曹志刚(1983- ),男,副教授,博士生导师,主要从事土动力学方面的研究。E-mail：caozhigang2011@zju.edu.cn。

中图分类号: TU435
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出版历程
- 收稿日期: 2017-09-30
- 发布日期: 2018-12-24

Analytical investigation of dynamic impact of moving surface loads on underground tunnel

1. Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China;
2. Institute of Geotechnical Engineering, Zhejiang University of Technology, Hangzhou 310014, China

摘要

摘要: 为获得地表移动荷载对地下隧洞的动力影响,首次给出了地表移动荷载作用下半空间隧洞动力响应解析解。地表移动荷载采用移动简谐荷载模拟,含隧洞半空间地基通过各向同性弹性介质模拟。基于弹性地基控制方程在直角坐标系和柱坐标系下基本解及平面与柱面波函数波形转换,结合地基表面和隧洞柱面施加边界条件,在频域中求得移动荷载下半空间弹性地基与隧洞解析解答,并结合快速Fourier逆变换求得隧洞时域动力响应。利用本解析模型,可计算获得地面移动荷载引起的地下隧洞振动影响,通过与已有研究对比,对本模型正确性进行验证。计算分析了不同荷载移动速度与隧洞埋深下,隧洞表面位移、加速度和地基中动应力响应。研究表明,随着荷载移动速度增加,隧道拱顶地基中动应力与振动加速度均显著增加。地基中动应力随隧道埋深增加迅速衰减,隧洞加速度随埋深衰减相对较慢,但当隧洞埋深超过某一临界深度时,隧洞振动可低于我国规范规定限值。在低速范围,隧洞临界深度随荷载速度线性增加,但当荷载速度超过一定值,隧洞临界深度随着荷载速度呈指数型增长。
- 地表荷载 /
- 地下隧洞 /
- 波形转换 /
- 环境振动评估 /
- 解析研究
Abstract: To investigate the influences of the moving surface loads on the underground tunnel, an analytical solution for calculating vibrations from a circular tunnel buried in a half-space due to moving surface loads is firstly given. The surface load is represented by a moving harmonic point load, and the half-space with a circular hole is visco-elastic. The analytical solution is obtained in the frequency domain based on the fundamental solutions of governing equation for elastic ground in Cartesian and cylindrical coordinate systems. Also, the transformations between the plane wave functions and the cylindrical wave functions and the surface boundary conditions should be used. Then the response in the time domain is obtained by the inverse Fourier transform. The influences of moving surface loads on the vibration of underground tunnel can be investigated by using the analytical model. The displacement and acceleration of the tunnel and the dynamic stress response in the ground under different load velocities and tunnel buried depth are analyzed. The results show that both the dynamic stress and the acceleration responses above the vault of the tunnel increase significantly as the moving speed of the load increases. The dynamic stresses decay rapidly as the buried depth of the tunnel increases, while the acceleration responses decay relatively slowly. When the buried depth of the tunnel increases to the critical depth, the vibration level of the tunnel can meet the requirements of Chinese specification. The critical tunnel buried depth increases linearly with the moving speed of loads at the low speed range, while when the speed exceeds 100 km/h, the critical tunnel buried depth increases exponentially with the increase of load speed.
- surface loads /
- underground tunnel /
- environmental vibration assessment /
- analytical investigation /
- undefined

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参考文献(25)

[1]	LIU G B, XIE K H.Transient response of a spherical cavity with a partially sealed shell embedded in viscoelastoc saturated soil[J]. Journal of Zhejiang University (Science A), 2005, 6(3): 194-201.
[2]	SENJUNTICHAI T, RAJAPAKSE R.Transient response of a circular cavity in a poroelastic medium[J]. International journal for numerical and analytical methods in geimechanics, 1993, 17(6): 357-383.
[3]	LU J F, JENG D S.Dynamic response of a circular tunnel embedded in a saturated poroelastic medium due to a moving load[J]. Journal of Vibration and Acoustics, 2006, 128(6): 750-756.
[4]	LU J F, JENG D S.Dynamic analysis of an infinite cylindrical hole in a saturated poroelastic medium[J]. Archive of Applied Mechanics, 2006, 76(5/6): 263-276.
[5]	刘干斌, 谢康和, 施祖元. 黏弹性饱和多孔介质中圆柱孔洞的频域响应[J]. 力学学报, 2004, 36(5): 557-563. (LIU Gan-bin, XIE Kang-he, SHI Zu-yuan.Frequency response of a cylindrical cavity in viscoelastic saturated porous media[J]. Chinese Journal of Theoretical and Applied Mechanics, 2004, 36(5): 557-563. (in Chinese))
[6]	METRIKINE A V, VROUWENVELDER A.Surface ground vibration due to a moving train in a tunnel: two-dimensional model[J]. Journal of Sound and Vibration, 2000, 234(1): 43-66.
[7]	LU J F, JENG D S, LEE T L.Dynamic response of a piecewise circular tunnel embedded in a poroelastic medium[J]. Soil Dynamic and Earthquake Engineering, 2007, 27(9): 875-891.
[8]	SHENG X, JONES C J C, THOMPSON D J. Prediction of ground vibration from trains using the wavenumber finite and boundary element methods[J]. Journal of Sound and Vibration, 2006, 293(3): 575-586.
[9]	袁宗浩. 饱和土地区地铁列车运行引起的环境振动影响研究[D]. 杭州: 浙江大学, 2016. (YUAN Zong-hao.Enviromental vibrations induced by underground railways in the saturated soil[D]. Hangzou: Zhejiang University, 2016. (in Chinese))
[10]	SNEDDON I N.The stress produced by a pulse of pressure moving along the surface of a semi-infinite solid[J]. Rendiconti del Circolo Matematico di Palermo, 1952, 2: 57-62.
[11]	BIERER T, BODE C.A semi-analytical model in time domain for moving loads[J]. Soil Dynamic and Earthquake Engineering, 2007, 27: 1073-1081.
[12]	XU B, LU J F, WANG J H.Dynamic response of a layered water-saturated half space to a moving load[J]. Computers and Geotechnics, 2008, 35: 1-10.
[13]	HUNG H H, YANG Y B, CHANG D W.Wave barriers for reduction of trains-induced vibrations in soils[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2001, 130(12): 1283-1291.
[14]	TAKEMIYA H.Field vibration mitigation by honeycomb WIB for pile foundations of a high-speed train viaduct[J]. Soil Dynamics and Earthquake Engineering, 2004, 24: 69-87.
[15]	CAO Z G, CAI Y Q, BOSTRÖM A. Semi-analytical analysis of the isolation to moving-load induced ground vibrations by trenches on poroelastic half-space[J]. Journal of Sound and Vibration, 2012, 331: 947-961.
[16]	HUANG X, SCHWEIGER H, HUANG H.Influence of deep excavations on nearby existing tunnels[J]. International Journal of Geomechanics, 2013, 13(2): 170-180.
[17]	ZHANG X M, OU X F, YANG J S, et al.Deformation response of an existing tunnel to upper excavation of foundation pit and associated dewatering[J]. International Journal of Geomechanics, 2017, 17(4): 04016112.
[18]	SHI C, CAO C, LEI M, et al.Effects of lateral unloading on the mechanical and deformation performance of shield tunnel segment joints[J]. Tunnelling & Underground Space Technology Incorporating Trenchless Technology Research, 2016, 51: 175-188.
[19]	POTTS D M, ATKINSON J H.Stability of a shallow circular tunnel in cohesionless soil[J]. Géotechnique, 1977, 27(2): 203-215.
[20]	KLAR A, VORSTER T E B, SOGA K, et a1. Soil-pipe interaction due to tunneling: comparison between Winkler and elastic continuum solutions[J]. Géotechnique, 2005, 55(6): 461-466.
[21]	戴宏伟, 陈仁朋, 陈云敏. 地面新施工荷载对临近地铁隧道纵向变形的影响分析研究[J]. 岩土工程学报, 2006, 28(3): 312-316. (DAI Hong-wei, CHEN Ren-peng, CHEN Yun-min.Study on effect of construction loads on longitudinal deformation of adjacent metro tunnels[J]. Chinese Journal of Geotechnical Engineering, 2006, 28(3): 312-316. (in Chinese))
[22]	王正安, 肖洪天, 闫强刚. 地面列车动荷载对下穿隧道影响的动力学响应分析[J]. 山东科技大学学报(自然科学版), 2016, 35(3): 67-72. (WANG Zheng-an, XIAO Hong-tian, YAN Qiang-gang.Analysis of dynamic response of undercrossing tunnels to vibration loads of ground trains[J]. Journal of Shandong University of Science and Technology (Natural Science), 2016, 35(3): 67-72. (in Chinese))
[23]	HUNG H H, YANG Y B.Analysis of ground vibrations due to underground trains by 2.5D finite/infinite element approach[J]. Earthquake Engineering and Engineering Vibration, 2010, 9(3): 327-335.
[24]	HUNG H H, YANG Y B.Elastic waves in visco-elastic half-space generated by various vehicle loads[J]. Soil Dynamic and Earthquake Engineering, 2001, 21: 1-17.
[25]	GB 10070—88城市区域环境振动标准[S]. 1988. (GB 10070—88 Standard of environmental vibration in urban area[S]. 1988. (in Chinese))

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