考虑施工扰动效应的扩底桩扭转振动特性研究

李振亚; 赵持恒; 张存; 何先斌; 席玉倩

doi:10.20174/j.JUSE.2025.03.29

地下空间与工程学报 >

2025 , Vol. 21 >Issue 3: 1001 - 1010

DOI: https://doi.org/10.20174/j.JUSE.2025.03.29

设计、施工、监测

考虑施工扰动效应的扩底桩扭转振动特性研究

李振亚 ,
赵持恒 ,
张存 ,
何先斌 ,
席玉倩

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1.河海大学岩土力学与堤坝工程教育部重点实验室,南京 210098;
2.河海大学岩土工程研究所,南京 210098;
3.西藏农牧学院水利土木工程学院,西藏林芝 860000;
4. 西藏土木水利电力工程技术研究中心,西藏林芝 860000

李振亚(1989—),男,河南鹿邑人,博士,副教授,主要从事桩基动力学理论及土工测试方法方面的研究工作。E-mail:jllizhenya@163.com

收稿日期: 2024-08-28

网络出版日期: 2025-06-13

基金资助

中央引导地方科技发展资金项目(XZ202301YD0019C);国家自然科学基金(51808190);软弱土与环境土工教育部重点实验室开放基金(2022P04)

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Torsional Vibration Characteristics of A Belled Pile Considering the Construction Disturbance Effect

Li Zhenya ,
Zhao Chiheng ,
Zhang Cun ,
He Xianbin ,
Xi Yuqian

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1. Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing 210098, P.R. China;
2. Geotechnical Research Institute, Hohai University, Nanjing 210098, P.R. China;
3. School of Civil and Hydraulic Engineering, Tibet Agriculture and Animal Husbandry College, Nyingchi, Tibet 860000, P.R. China;
4. Tibet Civil Engineering, Water Conservancy and Electric Power Engineering and Technology Research Center, Nyingchi, Tibet 860000, P.R China

Received date: 2024-08-28

Online published: 2025-06-13

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摘要

基于平面应变模型研究考虑施工扰动效应的扩底桩扭转振动特性。首先,考虑到扩底桩的截面特性和施工扰动导致的桩周土径向非均匀性,将扩底桩沿纵向划分为若干微元段,同时将桩周土沿径向划分为若干圈层,分别建立桩-土振动控制方程;然后,通过剪切复刚度传递模型逐次求解各圈层土体控制方程,得到桩-土界面处剪切复刚度,将其代入到桩的控制方程中,利用Laplace变换和阻抗函数传递的方法,在频域内得到了扩底桩桩顶位移阻抗函数,进一步得到了桩顶扭转角幅频响应函数;最后,通过参数分析的方法,在低频范围内研究了扩底段参数和施工扰动效应对桩顶复阻抗和扭转角幅频响应的影响。

关键词： 扩底桩; 扭转振动; 施工扰动效应; 复阻抗; 幅频响应

本文引用格式

李振亚 , 赵持恒 , 张存 , 何先斌 , 席玉倩 . 考虑施工扰动效应的扩底桩扭转振动特性研究[J]. 地下空间与工程学报, 2025 , 21(3) : 1001 -1010 . DOI: 10.20174/j.JUSE.2025.03.29

Abstract

Based on the plane strain model, the torsional vibration of a belled pile is theoretically investigated considering the construction disturbance effect. First, in view of the cross-sectional characteristics of the belled pile and the radial inhomogeneity of the surrounding soil caused by construction disturbance, the belled pile is divided into finite sections along the longitudinal direction, and the surrounding soil is divided into finite annular zones along the radial direction. The pile and soil vibration governing equations are established, respectively. Then, the soil governing equations of each zone are solved one by one through the shear complex stiffness transfer model to obtain the shear complex stiffness at the pile-soil interface, which is substituted into the governing equation of the pile. The displacement impedance function at the belled pile head is obtained in the frequency domain by virtue of the Laplace transform and impedance function transfer method, and further the amplitude-frequency response function of the twist angle at the belled pile head is obtained. Finally, the influence of bottom-expanding section parameters and construction disturbance effect on the complex impedance and amplitude-frequency of the twist angle at the pile head are analyzed in the low frequency range utilizing parametric analysis.

Key words： belled pile; torsional vibration; construction disturbance effect; complex impedance; amplitude-frequency response

参考文献

[1] 单联君, 倪芃芃, 杨宇哲, 等. 反压土作用下超大圆形基坑灌注桩变形响应[J]. 地下空间与工程学报, 2023, 19(4): 1299-1307. (Shan Lianjun, Ni Pengpeng, Yang Yuzhe, et al. Deformation characteristics of bored pile for super-large circular bermed excavation[J]. Chinese Journal of Underground Space and Engineering, 2023, 19(4): 1299-1307. (in Chinese))
[2] 谭晓慧, 姚玉川, 林鑫, 等. 基于 KL 展开法的基桩竖向极限承载力可靠度[J]. 地下空间与工程学报, 2023, 19(4): 1250-1258. (Tan Xiaohui, Yao Yuchuan, Lin Xin, et al. Reliability of vertical ultimate bearing capacity of foundation pile based on KL expansion[J]. Chinese Journal of Underground Space and Engineering, 2023, 19(4): 1250-1258. (in Chinese))
[3] 陈祉阳, 龚维明, 靳朋刘,等. 基于分布式后压浆的灌注桩承载力试验研究[J]. 地下空间与工程学报, 2022, 18(增2): 689-695. (Chen Zhiyang, Gong Weiming, Jin Pengliu, et al. Experimental study on bearing capacity of cast-in-place pile based on distributed post grouting[J]. Chinese Journal of Underground Space and Engineering, 2022, 18(Supp.2): 689-695. (in Chinese))
[4] 蒋建平, 高广运, 顾宝和. 扩底桩、楔形桩、等直径桩对比试验研究[J]. 岩土工程学报, 2003, 25(6): 764-766. (Jiang Jianping, Gao Guangyun, Gu Baohe. Comparison of belled pile, tapered pile and equal-diameter pile[J]. Chinese Journal of Geotechnical Engineering, 2003, 25(6): 764-766. (in Chinese))
[5] 包晓红, 叶荣华, 周晔, 等. 扩底灌注桩承载力特性试验及有限元分析[J]. 地下空间与工程学报, 2019, 15(增1): 136-143, 218. (Bao Xiaohong, Ye Ronghua, Zhou Ye, et al. Bearing capacity test and finite element analysis on expanded drilling pile[J]. Chinese Journal of Underground Space and Engineering, 2019, 15(Supp.1): 136-143, 218. (in Chinese))
[6] 高广运, 张蕾, 滕延京, 等. 一种确定大直径扩底桩极限荷载的新方法[J]. 岩土工程学报, 2010, 32(增2): 55-58. (Gao Guangyun, Zhang Lei, Teng Yanjing, et al. New method for determining failure load of large diameter belled piles[J]. Chinese Journal of Geotechnical Engineering, 2010, 32(Supp.2): 55-58. (in Chinese))
[7] 赵程, 黄磊, 赵春风. 扩底桩极限抗拔承载力简化计算方法[J]. 岩土工程学报, 2013, 35(增2): 928-931. (Zhao Cheng, Huang Lei, Zhao Chunfeng. Computational methods for uplift capacity of belled piles[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(Supp.2): 928-931. (in Chinese))
[8] 孔娟. 横向荷载作用下扩底桩弯曲破坏性状分析[J]. 地下空间与工程学报, 2020, 16(2): 502-507. (Kong Juan. Character analysis on belled pile under transverse load with bending failure [J]. Chinese Journal of Underground Space and Engineering, 2020, 16(2): 502-507. (in Chinese))
[9] 乔世范, 董常瑞, 王刚, 等. 基于改进虚土桩法的扩底桩沉降计算方法[J]. 土木工程学报, 2022, 55(7): 98-107. (Qiao Shifan, Dong Changrui, Wang Gang, et al. Settlement calculation method of belled pile based on modified virtual-soil pile method[J]. China Civil Engineering Journal, 2022, 55(7): 98-107. (in Chinese))
[10] Zhang Y P, Jiang G S, Wu W B, et al. Analytical solution for distributed torsional low strain integrity test for pipe pile[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2022, 46(1): 47-67.
[11] 程晓东, 洪天求, 卢志堂, 等. 大直径桩扭转波法测试的数值分析[J]. 合肥工业大学学报(自然科学版), 2021, 44(1): 101-106. (Cheng Xiaodong, Hong Tianqiu, Lu Zhitang, et al. Numerical analysis of torsional wave test for large-diameter piles[J]. Journal of Hefei University of Technology (Natural Science), 2021, 44(1): 101-106. (in Chinese))
[12] Novak M. Dynamic Stiffness and Damping of Piles[J]. Canadian Geotechnical Journal, 1974, 11(4): 574-598.
[13] 刘东甲, 刘煜洲, 王杰英. 扭转波应用于低应变动力测桩的理论研究[J]. 岩土工程学报, 2003, 25(3): 283-287. (Liu Dongjia, Liu Yuzhou, Wang Jieying. Theoretical study on torsional wave applied in low strain dynamic testing of piles[J]. Chinese Journal of Geotechnical Engineering, 2003, 25(3): 283-287. (in Chinese))
[14] 杨冬英, 陈经纬, 李学东. 地下水位波动下填芯管桩纵向振动特性研究[J]. 地下空间与工程学报, 2023, 19(4): 1389-1400. (Yang Dongying, Chen Jingwei, Li Xuedong. Study on longitudinal vibration characteristics of cored pipe pile under groundwater level fluctuation [J]. Chinese Journal of Underground Space and Engineering, 2023, 19(4): 1389-1400. (in Chinese))
[15] Guan W J, Wu W B, Jiang G S, et al. Torsional dynamic response of tapered pile considering compaction effect and stress diffusion effect[J]. Journal of Central South University, 2020, 27(12): 3839-3851.
[16] 李亚楠, 章敏, 王栋梁, 等. 桩顶柔性约束下非均质饱和土中管桩扭转振动研究[J]. 振动与冲击, 2020, 39(12): 182-189, 220. (Li Yanan, Zhang Min, Wang Dongliang, et al. Torsional dynamic response of a pipe pile in heterogeneous saturated soil with a flexible support at pile head[J]. Journal of Vibration and Shock, 2020, 39(12): 182-189, 220. (in Chinese))
[17] 刘浩, 蒋国盛, 梅国雄, 等. 基于附加质量模型的管桩扭转振动研究[J]. 岩土工程学报, 2018, 40(4): 716-725. (Liu Hao, Jiang Guosheng, Mei Guoxiong, et al. Torsional dynamic response of pipe piles based on additional mass model[J]. Chinese Journal of Geotechnical Engineering, 2018, 40(4): 716-725. (in Chinese))
[18] Li Z Y, Pan Y C, Gao Y F, et al. Torsional vibration of open-ended pipe piles in saturated soil considering the construction disturbance[J]. Ocean Engineering, 2023, 267: 113253.
[19] Ma W J, Shan Y, Wang B L, et al. Analytical solution for torsional vibration of an end-bearing pile in nonhomogeneous unsaturated soil[J]. Journal of Building Engineering, 2022, 57: 104863.
[20] Zhang Y P, El Naggar M H, Wu W B, et al. Dynamic torsional impedance of large-diameter pipe pile for offshore engineering: 3D analytical solution[J]. Applied Mathematical Modelling, 2022, 111: 664-680.
[21] 胡昌斌, 张涛. 考虑桩土耦合作用时桩基扭转振动特性研究[J]. 工程力学, 2007, 24(3): 147-153. (Hu Changbin, Zhang Tao. Soil-pile interaction in torsional vibrations of a pile in viscious damping soil layer[J]. Engineering Mechanics, 2007, 24(3): 147-153. (in Chinese))
[22] 李振亚, 王奎华, 吴文兵. 考虑施工扰动效应时大直径扩底桩纵向振动阻抗研究[J]. 岩石力学与工程学报, 2017, 36(增1): 3678-3688. (Li Zhenya, Wang Kuihua, Wu Wenbing. Longitudinal dynamic impedance of a large-diameter belled pile considering construction disturbance effect[J]. Chinese Journal of Rock Mechanics and Engineering, 2017, 36(Supp.1): 3678-3688. (in Chinese))
[23] Zhang Z Q, Pan E. Dynamic torsional response of an elastic pile in a radially inhomogeneous soil[J]. Soil Dynamics and Earthquake Engineering, 2017, 99: 35-43.
[24] Li Z Y, Gao Y F, Wang K H. Torsional vibration of an end bearing pile embedded in radially inhomogeneous saturated soil[J]. Computers and Geotechnics, 2019, 108: 117-130.
[25] Ma W J, Shan Y, Wang B L, et al. Torsional vibration of a pile in transversely isotropic saturated soil considering its construction disturbance effect[J]. International Journal of Structural Stability and Dynamics, 2022, 22(7): 2250044.
[26] El Naggar M H. Vertical and torsional soil reactions for radially inhomogeneous soil layer[J]. Structural Engineering and Mechanics, 2000, 10(4): 299-312.
[27] Veletsos A S, Nair V V D. Torsional vibration of viscoelastic foundations[J]. Journal of the Geotechnical Engineering Division, 1974, 100(3): 225-246.
[28] 谢帮华. 成层土中楔形桩的竖向和扭转振动理论及应用研究[D]. 武汉: 中国地质大学, 2014. (Xie Banghua. Vertical and torsional vibration theory of tapered pile embedded in layered soil and its application[D]. Wuhan: China University of Geosciences, 2014. (in Chinese))
[29] Le Y, Wang N, Hu W T, et al. Torsional dynamic impedance of a stepped pile based on the wedged soil model[J]. Computers and Geotechnics, 2020, 128: 103854.

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