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| Longitudinal vibration of single pile with cushion cap in three-dimensional layered surrounding soil |
| WANG Kuihua1,2,GUO Haichao1,2,GAO Liu1,2,XIAO Si1,2 |
(1. Key Laboratory of Soft Soils and Geoenvironmental Engineering of Ministry of Education,Zhejiang University,Hangzhou,Zhejiang 310058,China;2. Research Center of Coastal and Urban Geotechnical Engineering,Zhejiang University,
Hangzhou,Zhejiang 310058,China) |
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Abstract The longitudinal vibration of single pile with cushion cap in three-dimensional soil was derived according to three-dimension soil modeling around pile and fictitious soil pile. Firstly,the cap-pile-soil system was discretized into the finite segments considering the stratification of the surrounding soil and fictitious soil pile. Then the impedance function of displacement at the top of pile was obtained with the method of impedance function transfer. The analytical solutions of displacement of the system of cushion cap and pile in frequency domain were obtained. The semi-analytical solutions of displacement of the system of cushion cap and pile in time domain were obtained with Laplace transform. The parameters of the surrounding soil including the shear wave velocity,damping coefficient and Poisson′s ratio were analyzed. Meanwhile,the parameters including the shear wave velocity,depth and thickness of the hard interlayer in the multilayered soil were analyzed. Compared with the damping coefficient and Poisson′s ratio of surrounding soil,the shear wave velocity in surrounding soil has the greater effect on the longitudinal vibration of cap-pile system. The upper soil layer affects the longitudinal vibration of cap-pile system more than the lower soil layer. Finally,the theoretical calculated results were compared with the measured data from field monitoring, which confirmed the sensibleness of the three-dimension soil model of the pile with cushion cap.
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[1] NOGAMI T,KONAGAI K. Time domain axial response of dynamically loaded single piles[J]. Journal of Engineering Mechanics,ASCE,1988,113(3):1 512–1 525.
[2] NOGAMI T,KONAGAI K. Dynamic response of vertically loaded nonlinear pile foundations[J]. Journal of Geotechnical Engineering,ASCE,1987,113(2):147–160.
[3] WANG T,WANG K H,XIE K H. An analytical solution to longitudinal vibration of a pile of arbitrary segments with variable modulus[J]. Acta Mechanica Solida Sinica,2001,14(1):67–73.
[4] 孔德森,栾茂田,杨 庆. 桩土相互作用分析中的动力Winkler模型研究评述[J]. 世界地震工程,2005,21(1):12–17.(KONG Desen,LUAN Maotian,YANG Qing. Review of dynamic Winkler model applied in pile-soil interaction analysis[J]. World Earthquake Engineering,2005,21(1):12–17.(in Chinese))
[5] NOGAMI T,NOVAK M. Soil-pile interaction in vertical vibration[J]. Earthquake Engineering and Structural Dynamics,1976,4(3):277–293.
[6] ELNAGGAR M H. Vertical and torsional soil reactions for radially inhomogeneous soil layer[J]. Structural Engineering and Mechanics,2000,10(4):299–312.
[7] HAN Y C. Dynamic vertical response of piles in nonlinear soil[J]. Journal of Geotechnical and Geoenvironmental Engineering,ASCE,1997,123(123):710–716.
[8] NOGAMI T,HARN S C. Dynamic soil stiffnesses at side of embedded structures with rectangular base[J]. Journal of Engineering and Mechanics,ASCE,2003,129(8):963–973.
[9] WU W B,WANG K H,MA S H J,et al. Longitudinal dynamic response of pile in layered soil based on virtual soil model[J]. Journal of Central South University,2012,19(7):1 999–2 007.
[10] 王奎华,阙仁波,夏建中. 考虑土体真三维波动效应时桩的振动理论及对近似理论的校核[J]. 岩石力学与工程学报,2005,24(8):1 362–1 370.(WANG Kuihua,QUE Renbo,XIA Jianzhong. Theory of pile vibration considering true three-dimensional wave effect of soil and its check on the approximate theories[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(8):1 362–1 370.(in Chinese))
[11] LU J F,ZHANG X,WANG J W,et al. The influence of a fixed axial top load on the dynamics response of a single pile[J]. Computers and Geotechnics,2012,39(1):54–65.
[12] 任 青,黄茂松. 分层地基中柔性高承台群桩基础的竖向振动特性[J]. 土木工程学报,2009,42(4):107–113.(REN Qin,HUANG Maosong. Analysis of axial vibration of floating pile groups with flexible caps in layered soils[J]. China Civil Engineering Journal,2009,42(4):107–113.(in Chinese))
[13] 任 青,黄茂松. 柔性承台下完全和部分埋入群桩的竖向振动及内力分析[J]. 工业建筑,2011,41(6):102–108.(REN Qin,HUANG Maosong. Analysis for axial vibration and internal forces of totally and partially embedded pile groups with cap[J]. Industrial Construction,2011,41(6):102–108.(in Chinese))
[14] 王奎华,陈 鑫,吕述晖,等. 自由振动时带承台单桩的纵向动力特性[J]. 浙江大学学报:工学版,2014,48(9):1 595–1 602.(WANG Kuihua,CHEN Xin,LU Shuhui,et al. Vertical dynamic characteristics of single pile with cushion cap undergoing free vibration[J]. Journal of Zhejiang University:Engineering Science,2014,48(9):1 595–1 602. (in Chinese))
[15] 熊 浩,俞 静. 低承台桩基础对地表土体振动的影响分析[J]. 应用力学学报,2016,33(2):254–261.(XIONG Hao,YU Jing. The influence of low-cap wit pile foundation on ground soil?s vibration[J]. Chinese Journal of Applied Mechanics,2016,33(2):254–261.(in Chinese))
[16] 刘祚秋,温少荣,周翠英,等. 桩、土、刚性承台相互作用下桩基内力计算新方法[J]. 中山大学学报:自然科学版,2004,43(4):33–37.(LIU Zuoqiu,WEN Shaorong,ZHOU Cuiying,et al. The new computing method of internal force of piles under the Interaction of piles,soils and rigid cap[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni,2004,43(4):33–37.(in Chinese))
[17] 王奎华. 成层广义Voigt地基中黏弹性桩纵向振动分析与应用[J]. 浙江大学学报:工学版,2002,36(5):565–571.(WANG Kuihua. Vibration of inhomogeneous viscoelastic pile embedded in layered soils with general voigt model[J]. Journal of Zhejiang University:Engineering Science,2002,36(5):565–571.(in Chinese))
[18] LYSMER J,RICHART F E. Dynamic response of footing to vertical load[J]. Soil Mechanical and Foundation Division,ASCE,1966,92(118):65–91.
[19] LÜ S,WANG K,WU W,et al. Longitudinal vibration of a pile embedded in layered soil considering the transverse inertia effect of pile[J]. Computers and Geotechnics,2014,62:90–99.
[20] 王奎华,王 宁,刘 凯,等. 三维轴对称条件下基于虚土桩法的单桩纵向振动分析[J]. 岩土工程学报,2012,34(5):885–892. (WANG Kuihua,WANG Ning,LIU Kai,et al. Longitudinal vibration of piles in 3D axisymmetric soil based on fictitious soil pile method[J]. Chinese Journal of Geotechnical Engineering,2012,34(5):885–892. (in Chinese))
[21] 王奎华,高 柳,吴君涛,等. 三维波动土中考虑桩身变截面与桩周土相互作用的大直径桩的动力特性[J]. 岩石力学与工程学报,2017,36(2):496–503.(WANG Kuihua,GAO Liu,WU Juntao,et al. Analytical solution for the dynamic response of a pile with a variable-section interface in low-strain integrity testing[J]. Journal of Sound and Vibration,2017,36(2):496–503.(in Chinese)) |
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