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| Dynamic response of lined tunnel in saturated soil due to moving load |
| ZENG Chen1, 2, SUN Hong-lei1, 2, CAI Yuan-qiang1, 2, 3, CAO Zhi-gang1, 2 |
| 1. Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China; 2. MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Zhejiang University, Hangzhou 310058, China; 3. College of Architecture and Civil Engineering, Wenzhou University, Wenzhou 325035, China |
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Abstract An analytical method was presented to investigate the three-dimensional dynamic response of a lined circular tunnel in a full-space saturated poroelastic soil due to a moving pointload. The lining is modeled as a thin cylindrical shell of infinite length, and the soil is modeled as a saturated poroelastic medium using Biots theory. Two kinds of potentials are introduced to express the displacements of soil skeleton and pore fluid, and the modified Bessel equations are employed to obtain the expressions of the potentials for different values of circumferential modenumber. According to boundary conditions, the analytical solutions of the displacements of lining and soil skeleton and the excess pore fluid pressure are obtained in frequency-wavenumber domain. Finally, the time-space domain solutions of the dynamic responses are obtained by operating double inverse Fourier transformation to the sum of all the modal components. The effects of load speed and soil permeability on displacement and pore pressure responses are investigated through the numerical results. The existence of critical speed of the lined tunnel in saturated poroelastic soil is demonstrated, and the critical speed is quite close to the shear wave velocity of the soil. The displacement field and the pore pressure field are greatly influenced by the load velocity and soil permeability. The pore pressure of soil decreases when the soil permeability gets better. The frequency spectrum of the displacement response due to a high speed load is quite different from those due to a low speed load．
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Published: 28 August 2015
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饱和土体中衬砌隧道在移动荷载下的动力响应
为了研究移动点荷载作用下饱和土体全空间中圆形衬砌隧道的三维动力响应,采用解析方法进行求解.用无限长圆柱壳模拟衬砌,用Biot饱和多孔介质模型模拟土体.引入两类势函数表示土骨架和孔隙水的位移,在不同环向模态下利用修正Bessel方程求解各势函数.结合边界条件,得到频率-波数域内衬砌和土骨架位移、孔隙水压力的解答.对各模态下的解答求和,并进行双重Fourier逆变换得到时间-空间域内的动力响应.通过算例分析荷载速度、土体渗透性等对位移及土体孔压的影响.结果表明：饱和土体中衬砌隧道系统存在临界速度,该速度与土体剪切波波速很接近；位移场和孔压场分布受荷载速度、土体渗透性影响较大；随着土体渗透性增大,土体孔压减小；高速荷载时的位移响应频谱与低速荷载时的差别很大．
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| ［1］ BALENDRA T, CHUA K H, LO K W, et al. Steady-state vibration of subway-soil-building system ［J］. Journal of Engineering Mechanics, 1989, 115(1): 145-162．
［2］ GARDIEN W, STUIT H G. Modelling of soil vibrations from railway tunnels ［J］. Journal of Sound and Vibration, 2003, 267(3): 605-619．
［3］ SHENG X, JONES C J C, THOMPSON D J. Ground vibration generated by a harmonic load moving in a circular tunnel in a layered ground ［J］. Journal of Low Frequency Noise, Vibration and Active Control, 2003, 22(2): 83-96．
［4］ FORREST J A, HUNT H E M. A three-dimensional tunnel model for calculation of train-induced ground vibration ［J］. Journal of Sound and Vibration, 2006, 294(4): 678-705．
［5］ FORREST J A, HUNT H E M. Ground vibration generated by trains in underground tunnels ［J］. Journal of Sound and Vibration, 2006, 294(4): 706-736．
［6］ CLOUTEAU D, ARNST M., AL-HUSSAINI T M, et al. Freefield vibrations due to dynamic loading on a tunnel embedded in a stratified medium ［J］. Journal of Sound and Vibration, 2005, 283(1/2): 173-199．
［7］ GUPTA S, HUSSEIN M F M, DEGRANDE G, et al. A comparison of two numerical models for the prediction of vibrations from underground railway traffic ［J］. Soil Dynamics and Earthquake Engineering, 2007, 27(7): 608-624．
［8］ 刘维宁, 夏禾, 郭文军. 地铁列车振动的环境响应［J］. 岩石力学与工程学报, 1996, 15(增刊): 586-593．
LIU Wei-ning, XIA He, GUO Wen-jun. Study of vibration effects of underground trains on surrounding environments ［J］. Chinese Journal of Rock Mechanics and Engineering, 1996, 15(S): 586-593．
［9］ 谢伟平, 孙洪刚. 地铁运行时引起的土的波动分析［J］. 岩石力学与工程学报, 2003, 22(7): 1180-1184.
XIE Wei-ping, SUN Hong-gang. FEM analysis on wave propagation in soils induced by high speed train loads ［J］. Chinese Journal of Rock Mechanics and Engineering, 2003, 22(7): 1180-1184．
［10］ BIAN X C, JIN W F, JIANG H G. Ground-borne vibrations due to dynamic loadings from moving trains in subway tunnels ［J］. Journal of Zhejiang University- SCIENCE A：Applied Physics and Engineering, 2012, 13(11): 870-876．
［11］ CAI Y Q, CAO Z G, SUN H L, et al. Dynamic response of pavements on poroelastic half-space soil medium to a moving traffic load ［J］. Computers and Geotechnics, 2009, 36(1/2): 52-60．
［12］ SENJUNTICHAI T, RAJAPAKSE R K N D. Transient response of a circular cavity in a poroelastic medium ［J］. International Journal for Numerical and Analytical Methods in Geomechanics, 1993, 17(6): 357-383．
［13］ HASHEMINEJAD S M, KOMEILI M. Effect of imperfect bonding on axisymmetric elastodynamic response of a lined circular tunnel in poroelastic soil due to a moving ring load ［J］. International Journal of Solids and Structures, 2009, 46(2): 398-411．
［14］ 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 poro-viscoelastic saturated medium ［J］. Acta Mechanica Sinica, 2004, 36(5): 557-563．
［15］ 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．
［16］ 黄晓吉, 扶名福, 徐斌. 移动环形荷载作用下饱和土中圆形衬砌隧洞动力响应研究［J］. 岩土力学, 2012, 33(3): 892-898．
HUANG Xiao-ji, FU Ming-fu, XU Bin. Dynamic response of a circular lining tunnel in saturated soil due to moving ring load ［J］. Rock and Soil Mechanics, 2012, 33(3): 892898．
［17］ BIOT M A. Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range ［J］. Journal of the Acoustical Society of America, 1956, 28(2): 168-178．
［18］ BIOT M A. Theory of propagation of elastic waves in a fluid-saturated porous solid. II. High-frequency range ［J］. Journal of the Acoustical Society of America, 1956, 28(2): 179-191．
［19］ FLGGE W. Stresses in Shells (second edition) ［M］. Berlin: Springer, 1973．
［20］ JONES S, HUNT H. Voids at the tunnel-soil interface for calculation of ground vibration from underground railways ［J］. Journal of Sound and Vibration, 2011, 330(2): 245-270．
［21］ SHI L, SUN H L, CAI Y Q, et al. Validity of fully drained, fully undrained and u-p formulations for modeling a poroelastic half-space under a moving harmonic point load ［J］. Soil Dynamics and Earthquake Engineering, 2012, 42: 292-301．
［22］ SENJUNTICHAI T, MANI S, RAJAPAKSE R K N D. Vertical vibration of an embedded rigid foundation in a poroelastic soil ［J］. Soil Dynamics and Earthquake Engineering, 2006, 26(6/7): 626-636. |
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