考虑桩身横向惯性效应和桩周土竖向支承作用的楔形管桩纵向振动特性

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (6) : 179-188.

论文

李振亚1,2，潘云超1,2，张存3,4，何先斌1,2，吕冲1,2

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Longitudinal vibration characteristics of a tapered pipe pile considering the transverse inertia effect and the vertical supporting of the surrounding soil

LI Zhenya1,2,PAN Yunchao1,2,ZHANG Cun3,4,HE Xianbin1,2,LChong1,2

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摘要

本文研究考虑桩身横向惯性效应和桩周土竖向支承作用的楔形管桩纵向振动特性。首先，根据楔形管桩特殊的桩身结构和桩周土的成层性，将桩-土系统沿纵向划分为若干微元段，采用Voigt体模型模拟桩周土对楔形管桩桩段的竖向支承作用；基于考虑土体竖向波动效应的三维轴对称模型建立桩周土纵向振动控制方程并求解，得到桩-土之间的侧摩阻力；然后，基于Rayleigh-Love杆模型建立桩的纵向振动控制方程以考虑其横向惯性效应，求解桩的振动控制方程并结合Laplace变换和阻抗函数递推，得到考虑桩周土竖向支承作用的桩顶复阻抗和速度导纳解析解，进一步地，通过卷积定理和Fourier逆变换得到桩顶时域响应半解析解；最后，通过与已有解的对比验证了本文解的合理性，并通过参数分析的方法研究了桩身横向惯性效应、桩周土竖向支承作用及桩身参数对桩顶动力特性的影响。

Abstract

The longitudinal vibration characteristics of the tapered pipe pile is investigated in this paper considering the transverse inertia effect of the pile and the vertical supporting of the surrounding soil. First, the pile-soil system is partitioned into finite segments in the vertical direction to consider the special structure of the tapered pipe pile and the stratification of the surrounding soil. The Voigt model is employed to simulate the vertical supporting of the surrounding soil on the pile shaft. The dynamic governing equation for the surrounding soil is built based on the three-dimensional axisymmetric model that only considers the vertical wave effect of the soil and is solved to derive the frictional force at the piles-soil interface. Then, the dynamic governing equation for the pile is established based on the Rayleigh-Love rod model to consider the transverse inertia effect of the pile. By solving the dynamic governing equation for the pile and together with the Laplace transform and impedance function transfer method, the analytical solutions for the complex impedance and the velocity admittance considering the vertical supporting of the surrounding soil are derived. Further, the semi-analytical solution in the time domain is derived by convolution theorem and inverse Fourier transform. Finally, the reliability of the present solution is verified by comparing with the published solution. Based on the present solution, a parametric analysis is conducted to research the influence of the pile transverse inertia effect, the vertical supporting of the surrounding soil and the pile parameters on the dynamic characteristics at the pile head.

导出引用

李振亚1,2，潘云超1,2，张存3,4，何先斌1,2，吕冲1,2. 考虑桩身横向惯性效应和桩周土竖向支承作用的楔形管桩纵向振动特性[J]. 振动与冲击, 2024, 43(6): 179-188

LI Zhenya1,2,PAN Yunchao1,2,ZHANG Cun3,4,HE Xianbin1,2,LChong1,2. Longitudinal vibration characteristics of a tapered pipe pile considering the transverse inertia effect and the vertical supporting of the surrounding soil[J]. Journal of Vibration and Shock, 2024, 43(6): 179-188

参考文献

[1] 何杰, 陈昱锦, 熊猛. 等壁厚楔形管桩沉桩效应数值分析[J]. 土工基础, 2019, 33(2)：194-197. HE Jie, CHEN Yu-jin, XIONG Meng. Numerical analysis of pile driving effect of wedge-shaped tubular piles with equal wall thickness[J]. Geotechnical Foundation, 2019, 33(2): 194-197. [2] 邹长春, 何杰, 刘孟鑫, 等. 楔形管桩沉桩挤土效应试验研究[J]. 湖南工业大学学报, 2022, 36(2): 1-7. ZOU Chang-chun, HE Jie, LIU Meng-xin, et al. Experimental study on soil-squeezing effect of wedge-shaped pipe pile driving[J]. Journal of Hunan University of Technology, 2022, 36(2): 1-7. [3] SINGH S, PATRA N R. Axial behavior of tapered piles using cavity expansion theory[J]. Acta Geotechnica, 2020, 15(6): 1619-1636. [4] HATAF N, SHAFAGHAT A. Optimizing the bearing capacity of tapered piles in realistic scale using 3D finite element method[J]. Geotechnical Geological Engineering, 2015, 33(6): 1465-1473. [5] 陈昱锦. 楔形管桩承载特性试验研究[D]. 株洲: 湖南工业大学, 2019. CHEN Yu-jin. Experimental study on bearing characteristics of wedge-shaped pipe piles[D]. Zhuzhou: Hunan University of Technology, 2019. [6] 曹兆虎, 孔纲强, 文磊, 等. 楔形管桩沉桩及桩端后注浆可视化模型试验[J]. 铁道科学与工程学报, 2017, 14(5): 922-927. CAO Zhao-hu, KONG Gang-qiang, WEN Lei, et al. Visual model test of wedge-shaped tubular pile driving and post-grouting[J]. Chinese Journal of Railway Science and Engineering, 2017, 14(5): 922-927. [7] LIU J, HE J, WU Y P, et al. Load transfer behaviour of a tapered rigid pile[J]. Géotechnique, 2012, 62(7): 649-652. [8] KHAN M K, El NAGGAR M H., ELKASABGY M. Compression testing and analysis of drilled concrete tapered piles in cohesive-frictional soil[J]. Canadian Geotech- nical Journal, 2008, 45(3): 377-392. [9] 杨庆光, 刘杰, 何杰, 等. 楔形与等截面静压桩沉桩贯入阻力对比研究[J]. 岩土工程学报, 2013， 35(5): 897-901. YANG Qing-guang, LIU Jie, HE Jie, et al. Comparative study on penetration resistance of wedge-shaped and constant-section static pressure piles [J]. Chinese Journal of Geotechnical Engineering, 2013, 35(5): 897-901. [10] 蔡燕燕, 俞缙, 郑春婷, 等. 楔形桩桩顶纵向振动阻抗的解析解[J]. 岩土工程学报, 2011， 33(S2): 392-398. CAI Yan-yan, YU Jin, ZHENG Chun-ting, et al. Analytical solution of longitudinal vibration impedance of wedge shaped pile top[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(S2): 392-398. [11] 崔春义, 孟坤, 武亚军, 等. 考虑竖向波动效应的径向非均质黏性阻尼土中管桩纵向振动响应研究[J]. 岩土工程学报, 2018, 40(8): 1433-1443. CUI Chun-yi, MENG Kun, WU Ya-jun, et al. Study on longitudinal vibration response of pipe piles in radially heterogeneous viscous damping soil considering vertical wave effect [J]. Chinese Journal of Geotechnical Engineering, 2018, 40(8): 1433- 1443. [12] LI Z Y, GAO Y F. Effects of inner soil on the vertical dynamic response of a pipe pile embedded in inhomogeneous soil[J]. Journal of Sound Vibration, 2019, 439: 129-143. [13] 刘鑫, 王奎华, 涂园. 双向非均质土中填砂竹节管桩纵向振动理论与试验研究[J].振动与冲击, 2020, 39(14): 43-52+68. LIU Xin, WANG Kui-hua, TU Yuan. Theoretical and experimental study on longitudinal vibration of sand-filled bamboo joint pipe pile in bidirectional heterogeneous soil [J]. Journal of Vibration and Shock, 2020, 39(14): 43-52+68. [14] 王奎华, 肖偲, 高柳, 等. 静钻根植竹节桩竖向动力响应研究[J]. 振动与冲击, 2019, 38(15): 49-56+86. WANG Kui-Hua, XIAO Si, GAO Liu, et al. Research on vertical dynamic response of static drilling rooted bamboo joint pile [J]. Journal of Vibration and Shock, 2019, 38(15): 49-56+86. [15] KODIKARA J K, MOORE I D. Axial response of tapered piles in cohesive frictional ground[J]. Journal of Geotechnical Engineering, 1993, 119(4): 675-693. [16] 刘杰, 何杰, 闵长青. 楔形桩与圆柱形桩复合地基承载性状对比研究[J]. 岩土力学, 2010, 31(7): 2202-2206. LIU Jie, HE Jie, MIN Chang-qing. Comparative study on bearing properties of wedge-shaped pile and cylindrical pile composite foundation[J]. Rock and Soil Mechanics, 2010, 31(7): 2202-2206. [17] 顾红伟, 孔纲强, 车平, 等. 楔形桩与等直径桩承载特性对比模型试验研究[J]. 中南大学学报, 2017, 48(6): 1600-1606. GU Hong-wei, KONG Gang-qiang, CHE Ping, et al. Comparative Model Test Research on Bearing Characteristics of Wedge Pile and Equal Diameter Pile[J]. Journal of Central South University, 2017, 48(6): 1600-1606. [18] 王奎华, 高柳, 肖偲, 等. 考虑桩周土竖向作用大直径楔形桩纵向振动特性[J]. 岩土力学, 2016, 37(S2): 223-231. WANG Kui-hua, GAO Liu, XIAO Xi, et al. Longitudinal vibration characteristics of large-diameter wedge-shaped piles considering vertical action of surrounding soil[J]. Rock and Soil Mechanics, 2016, 37(S2): 223-231. [19] 高柳, 王奎华, 李振亚, 等. 考虑桩周土竖向作用和施工扰动效应时大直径楔形桩的纵向振动特性[J]. 振动与冲击, 2018, 37(2): 30-37. GAO Liu, WANG Kui-hua, LI Zhen-ya, et al. Longitudinal vibration characteristics of large diameter wedge pile considering vertical action of pile surrounding soil and construction disturbance effect[J]. Vibration and Shock, 2018, 37(2): 30-37. [20] 黎正根, 龚育龄. 波在大直径桩中传播的三维效应现象[J]. 岩石力学与工程学报, 1998, 17(4): 434-439. LI Zheng-gen, GONG Yu-ling. Three-dimensional effect phenomenon of wave propagation in large-diameter piles[J]. Chinese Journal of Rock Mechanics and Engineering, 1998, 17(4): 434-439. [21] CHAI H Y, PHOON K K, ZHANG D J. Effects of the source on wave propagation in pile integrity testing[J]. Journal of Geotechnical Geoenvironmental Engineering, 2010, 136(9): 1200-1208. [22] KRAWCZUK M, GRABOWSKA J, PALACZ M. Longitudinal wave propagation. Part I—comparison of rod theories[J]. Journal of Sound Vibration, 2006, 295(3): 461-478. [23] 吴君涛, 王奎华, 刘鑫, 等. 考虑桩身三维效应下的大直径薄壁管桩–桩端土塞耦合振动模型及其解析解[J]. 岩石力学与工程学报, 2019, 38(5): 1064-1072. WU Jun-tao, WANG Kui-hua, LIU Xin, et al. Coupling vibration model of large-diameter thin-walled tubular pile-pile end soil plug considering three-dimensional effect of pile body and its analytical solution[J]. Chinese Journal of Rock Mechanics and Engineering, 2019, 38(5): 1064-1072. [24] 龚志超, 杨冬英. 考虑横向惯性效应时饱和土中大直径桩的纵向振动研究[J]. 振动与冲击, 2018, 37(2): 163-168. GONG Zhi-chao, YANG Dong-ying. Longitudinal vibration study of large-diameter piles in saturated soil considering lateral inertia effect[J]. Vibration and Shock, 2018, 37(2): 163-168. [25] 吴文兵, 邓国栋, 张家生, 等. 考虑横向惯性效应时桩侧土-管桩-土塞纵向耦合振动特性研究[J]. 岩土力学, 2017, 38(4): 993-1002. WU Wen-bing, DENG Guo-dong, ZHANG Jia-sheng, et al. Study on longitudinal coupling vibration characteristics of pile side soil-pipe pile-soil plug considering lateral inertia effect[J]. Rock and Soil Mechanics, 2017, 38(4): 993-1002. [26] 李振亚, 王奎华. 考虑横向惯性效应时非均质土中大直径桩纵向振动特性及其应用[J]. 岩石力学与工程学报, 2017, 36(1): 243-253. LI Zhen-ya, WANG Kui-hua. Longitudinal vibration characteristics of large-diameter piles in heterogeneous soil considering lateral inertia effect and its application[J]. Chinese Journal of Rock Mechanics and Engineering, 2017, 36(1): 243-253. [27] 何伟杰, 杨冬英, 崔周飞. 考虑横向惯性下桩的纵向振动理论解和数值解对比分析[J]. 岩土力学, 2017, 38(9): 2757-2763. HE Wei-jie, YANG Dong-ying, CUI Zhou-fei. Comparative analysis of theoretical solution and numerical solution of longitudinal vibration of pile considering lateral inertia[J]. Geotechnical Mechanics, 2017, 38(9): 2757-2763. [28] 崔春义, 梁志孟, 许成顺, 等. 基于轴对称连续介质模型的径向非均质土中大直径管桩纵向振动特性研究[J]. 岩石力学与工程学报, 2021, 41(5): 1031-1044. CUI Chun-yi, LIANG Zhi-meng, XU Cheng-shun, et al. Longitudinal vibration characteristics of large-diameter pipe piles in radially heterogeneous soil based on axisymmetric continuum model[J]. Chinese Journal of Rock Mechanics and Engineering, 2021, 41(5): 1031-1044. [29] 陈凡, 罗文章. 预应力管桩低应变反射波法检测时的尺寸效应研究[J]. 岩土工程学报, 2004, 26(3): 353-356. CHEN Fan, LUO Wen-zhang. Study on the size effect of low-strain reflected wave method for prestressed pipe piles[J]. Chinese Journal of Geotechnical Engineering, 2004, 26(3): 353-356. [30] 吴文兵, 王奎华, 窦斌. 任意层地基中粘弹性楔形桩纵向振动响应研究[J]. 振动与冲击, 2013, 32(8): 120-127. WU Wen-bing, WANG Kui-hua, DOU Bin. Study on longitudinal vibration response of viscoelastic wedge pile in foundation with any layer[J]. Vibration and Shock, 2013, 32(8): 120-127. [31] GAO L, WANG K, WU J, 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, 395: 328-340. [32] LYSMER J, RICHART J F. Dynamic response of footings to vertical loading[J]. Journal of the Soil Mechanics Foundations Division, 1966, 92(1): 65-91. [33] 李曼, 杨冬英, 龚志超. 大直径桩-土系统作用下解析解与室内模型试验研究[J]. 河北工程大学学报, 2017, 34(2): 11-16. LI Man, YANG Dong-ying, GONG Zhi-chao. Analytical solution and indoor model test research on large diameter pile-soil system[J]. Journal of Hebei University of Engineering, 2017, 34(2): 11-16. [34] 高柳. 非均匀截面桩及其带承台(梁)时的动力特性研究[D]. 杭州: 浙江大学, 2018. GAO Liu. Research on the dynamic characteristics of non-uniform cross-section piles and their caps (beams)[D]. Hangzhou: Zhejiang University, 2018. [35] 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.