Journal of Shanghai Jiao Tong University

Journal of Shanghai Jiaotong University >

2022 , Vol. 56 >Issue 4: 431 - 442

DOI: https://doi.org/10.16183/j.cnki.jsjtu.2020.382

Naval Architecture, Ocean and Civil Engineering

Horizontal Dynamic Response of Pile Based on Layered Generalized Gibson Foundation

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  • School of Navy Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Received date: 2020-11-19

  Online published: 2022-05-07

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Abstract

In order to directly solve the horizontal dynamic response of a single pile under the condition that the shear modulus of the soil around the pile varies linearly with the depth, a method for solving the horizontal dynamic response of piles in nonhomogenous foundation is proposed based on the layered generalized Gibson foundation and the Adomian decomposition method. Compared with the initial parameter method and the transfer matrix method, the proposed method does not need to discretize the nonhomogeneous foundation. Compared with the numerical method, it has the advantages of low computational cost, high accuracy, and fast convergence speed. The correctness and rationality of this method are verified by comparing it with the calculation results of the layered method, the analytical method of homogeneous foundation, and the numerical method. The influence of boundary conditions on the pile bottom, soil parameters, and pile slenderness on the horizontal dynamic response of the pile is investigated. The result show that in nonhomogeneous foundation, the pile-soil elastic modulus ratio is an important factor affecting the horizontal dynamic response of pile. As the shear modulus of soil increases, the amplitude of horizontal displacement of the pile decreases, and the distribution tends to be gentle. In addition, compared with other parameters, Poisson’s ratio and damping ratio of soil have less influence on the horizontal dynamic response of pile.

Key words： layered generalized Gibson foundation; nonhomogeneous foundation; Adomian decomposition method; Novak’s thin layer method; horizontal dynamic response

Cite this article

QIU Jiekai, DING Zhaowei, SONG Chunyu, CHEN Longzhu . Horizontal Dynamic Response of Pile Based on Layered Generalized Gibson Foundation[J]. Journal of Shanghai Jiaotong University, 2022 , 56(4) : 431 -442 . DOI: 10.16183/j.cnki.jsjtu.2020.382

References

[1] ANOYATIS G, LAORA R D, LEMNITZER A. Dynamic pile impedances for fixed-tip piles[J]. Soil Dynamics and Earthquake Engineering, 2017, 97: 454-467.
[2] ANOYATIS G, LEMNITZER A. Dynamic pile impedances for laterally-loaded piles using improved Tajimi and Winkler formulations[J]. Soil Dynamics and Earthquake Engineering, 2017, 92: 279-297.
[3] KE W H, ZHANG C. A closed-form solution for kinematic bending of end-bearing piles[J]. Soil Dynamics and Earthquake Engineering, 2017, 103: 15-20.
[4] 陈昌富, 汤宇, 梁冠亭. 剪切模量随深度呈指数函数增大地基中锚杆弹塑性分析[J]. 中南大学学报(自然科学版), 2016, 47(3): 905-912.
[4] CHEN Changfu, TANG Yu, LIANG Guanting. Elastic-plastic analysis for bolts in ground with shear modulus increasing following an exponential function with depth[J]. Journal of Central South University (Science and Technology), 2016, 47(3): 905-912.
[5] LI Y, AI Z Y. Transient analysis of a fixed-head pile group in multi-layered transversely isotropic media due to horizontal loadings[J]. Computers and Geotechnics, 2020, 127: 103772.
[6] AI Z Y, ZHAO Y Z, YE Z. A coupling rational finite element-boundary element method for a laterally loaded pile in transversely isotropic poroelastic soils[J]. Computers and Geotechnics, 2020, 117: 103227.
[7] AI Z Y, ZHAO Y Z, CHENG Y C. Time-dependent response of laterally loaded piles and pile groups embedded in transversely isotropic saturated viscoelastic soils[J]. Computers and Geotechnics, 2020, 128: 103815.
[8] 熊辉, 江雅丰, 禹荣霞. 层状地基中基于Laplace变换的桩基横向振动阻抗计算[J]. 岩土力学, 2018, 39(5): 1901-1907.
[8] XIONG Hui, JIANG Yafeng, YU Rongxia. Lateral vibration impedance of piles embedded in layered soil based on Laplace transform[J]. Rock and Soil Mechanics, 2018, 39(5): 1901-1907.
[9] 陈云敏, 边学成. 高速铁路路基动力学研究进展[J]. 土木工程学报, 2018, 51(6): 1-13.
[9] CHEN Yunmin, BIAN Xuecheng. The review of high-speed railway track foundation dynamics[J]. China Civil Engineering Journal, 2018, 51(6): 1-13.
[10] 王路君, 朱斌, 文凯, 等. 层状路基路面体系温度应力和变形问题的位移函数解法[J]. 岩石力学与工程学报, 2018, 37(7): 1691-1699.
[10] WANG Lujun, ZHU Bin, WEN Kai, et al. Displacement function method on thermal stress and thermal deformation problems for layered pavement structure[J]. Chinese Journal of Rock Mechanics and Engineering, 2018, 37(7): 1691-1699.
[11] DENG D P, LI L, ZHAO L H. Stability analysis of a layered slope with failure mechanism of a composite slip surface[J]. International Journal of Geomechanics, 2019, 19(6): 04019050.
[12] SARKAR R, MAHESHWARI B K. Effects of separation on the behavior of soil-pile interaction in liquefiable soils[J]. International Journal of Geomechanics, 2012, 12(1): 1-13.
[13] DI LAORA R, ROVITHIS E. Kinematic bending of fixed-head piles in nonhomogeneous soil[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2015, 141(4): 04014126.
[14] WANG J, ZHOU D, LIU W Q. Horizontal impedance of pile groups considering shear behavior of multilayered soils[J]. Soils and Foundations, 2014, 54(5): 927-937.
[15] AWOJOBI A O. Estimation of the dynamic surface modulus of a generalized Gibson soil from the rocking frequency of rectangular foundations[J]. Géotechnique, 1973, 23(1): 23-31.
[16] 靳建明, 梁仕华. 成层Gibson地基中单桩沉降的非线性分析[J]. 岩土力学, 2012, 33(6): 1857-1863.
[16] JIN Jianming, LIANG Shihua. Nonlinear analysis of settlement of axially loaded single pile in Gibson soil[J]. Rock and Soil Mechanics, 2012, 33(6): 1857-1863.
[17] 邹新军, 夏尉桓, 王亚雄. 非均质地基中V-T联合受荷桩承载力分析[J]. 中南大学学报(自然科学版), 2018, 49(10): 2553-2560.
[17] ZOU Xinjun, XIA Weihuan, WANG Yaxiong. Bearing capacity analysis of a single pile under combined V-T Loads in non-homogeneous subsoil[J]. Journal of Central South University (Science and Technology), 2018, 49(10): 2553-2560.
[18] ZOU X J, ZHAO L J, ZHOU M, et al. Investigation of the torsional behaviour of circular piles in double-layered nonhomogeneous soil[J]. Applied Ocean Research, 2020, 98: 102110.
[19] KALIYAPPAN M, GRACE G H. Solving nonlinear integral equations and nonlinear integro-differential equations using laplace adomian decomposition method through sagemath[J]. International Journal of Advanced Research in Engineering and Technology, 2020, 11(6): 298-306.
[20] TURKYILMAZOGLU M. Accelerating the convergence of Adomian decomposition method (ADM)[J]. Journal of Computational Science, 2019, 31: 54-59.
[21] CHEN W, LU Z. An algorithm for Adomian decomposition method[J]. Applied Mathematics and Computation, 2004, 159(1): 221-235.
[22] NOVAK M, ABOUL-ELLA F, NOGAMI T. Dynamic soil reactions for plane strain case[J]. Journal of the Engineering Mechanics Division, 1978, 104(4): 953-959.
[23] 丁肇伟, 宋春雨, 陈龙珠. 基于Pasternak地基模型和Adomian分解方法的扩底桩水平动力响应分析[J]. 地震工程学报, 2019, 41(6): 1587-1596.
[23] DING Zhaowei, SONG Chunyu, CHEN Longzhu. Horizontal dynamic response of a belled pile based on the Pasternak foundation model and the Adomian decomposition method[J]. China Earthquake Engineering Journal, 2019, 41(6): 1587-1596.
[24] 胡安峰, 谢康和, 肖志荣. 水平荷载下单桩动力反应分析[J]. 浙江大学学报(工学版), 2003, 37(4): 420-425.
[24] HU Anfeng, XIE Kanghe, XIAO Zhirong. Dynamic response analysis for a single pile subjected to lateral load ing[J]. Journal of Zhejiang University (Engineering Science), 2003, 37(4): 420-425.
[25] 刘林超, 闫启方. 饱和土-管桩-刚性承台水平振动研究[J]. 振动与冲击, 2019, 38(12): 126-132.
[25] LIU Linchao, YAN Qifang. A study on the lateral vibration of saturated soil-pipe pile-rigid platform[J]. Journal of Vibration and Shock, 2019, 38(12): 126-132.
[26] MAHESHWARI B K, WATANABE H. Nonlinear dynamic behavior of pile foundations: Effects of separation at the soil-pile interface[J]. Soils and Foundations, 2006, 46(4): 437-448.
[27] 杜秦文, 王金昌, 朱向荣, 等. 双层广义Gibson地基轴对称问题求解[J]. 岩土力学, 2007, 28(5): 933-938.
[27] DU Qinwen, WANG Jinchang, ZHU Xiangrong, et al. Solutions for axisymmetric problems of double layers generalized Gibson subgrade[J]. Rock and Soil Mechanics, 2007, 28(5): 933-938.
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