Accumulated response of single batter pile under lateral cyclic loading in sand

doi:10.3785/j.issn.1008-973X.2022.07.006

Journal of ZheJiang University (Engineering Science)

2022, Vol. 56

Issue (7): 1310-1319 DOI: 10.3785/j.issn.1008-973X.2022.07.006

Accumulated response of single batter pile under lateral cyclic loading in sand

Shuang ZHAO1,2(

),Kui-hua WANG1,2,*(

),Jun-tao WU1,2

1. Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China
2. Key Laboratory of Soft Soils and Geoenvironmental Engineering of Ministry of Education, Zhejiang University, Hangzhou 310058, China

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Abstract

The accumulated responses of single batter pile under cyclic loadings (e.g., winds, waves and ocean current) were analyzed. The degradation stiffness model of sand was incorporated into the pile-soil finite element model through the user subroutine. The numerical analysis of cyclic loading characteristics of single pile was realized. Then the accumulated response of single batter pile under various load levels and cycle numbers was analyzed. Results show that the displacement at pile head and the bending moment of pile are gradually increased under lateral static loads when the batter angle changes from ?25° to 25°. The accumulated speeds of the displacement at pile head and the maximum bending moment of pile are decreased under lateral cyclic loads. When the amplitude of the cyclic load is relatively large, the displacement at pile head and the depth of deformation region of the negative batter pile are both smaller than these of the vertical pile, while these of the positive batter pile are the greatest. Fitting analysis of the accumulated displacement at pile head and the maximum bending moment of single batter pile was conducted based on the numerical simulation results. The corresponding methods for predicting the accumulated responses of single batter piles were proposed.

Key words： single batter pile lateral cyclic loading accumulated deformation prediction model

Received: 29 June 2021 Published: 26 July 2022

CLC:

TU 473

Fund: 国家自然科学基金资助项目(52178358, 52108349); 浙江省自然科学基金资助项目(LXZ22E080001)

Corresponding Authors: Kui-hua WANG E-mail: gnauhszhao@163.com;zdwkh0618@zju.edu.cn

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Cite this article:

Shuang ZHAO,Kui-hua WANG,Jun-tao WU. Accumulated response of single batter pile under lateral cyclic loading in sand. Journal of ZheJiang University (Engineering Science), 2022, 56(7): 1310-1319.

URL:

https://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2022.07.006 OR https://www.zjujournals.com/eng/Y2022/V56/I7/1310

水平循环荷载下砂土中斜单桩累积变形特性

研究斜单桩在风、浪、洋流等循环荷载作用下的累积特性. 通过用户开发子程序将砂土刚度衰减模型嵌入桩-土体系有限元模型中，实现了单桩循环受荷特性的数值分析，研究不同循环幅值及循环次数下斜单桩的变形累积规律. 研究结果表明，当桩身倾斜角由?25°逐渐过渡到25°时，在相同的静力荷载作用下，斜单桩桩顶位移及桩身相同位置处弯矩会不断增加，但在循环荷载作用下，桩顶位移与桩身最大弯矩的累积速度会逐渐下降. 当循环荷载幅值较大时，负斜桩的桩顶位移和桩身位移段深度均小于竖直桩，正斜桩的桩顶位移和桩身位移段深度均最大. 基于数值计算结果，对不同循环幅值和循环次数下的斜单桩桩顶累积位移和桩身最大弯矩进行拟合分析，提出适用于斜单桩的累积变形特性预测方法.

关键词： 斜单桩, 水平循环荷载, 累积变形, 预测模型

Fig.1 Stress-strain relationship of sand under cyclic loads

Fig.2 Flow chart of numerical analysis of cyclic loading characteristics of single pile

Tab.1 Computational parameters of sand

Fig.3 Schematic of numerical model for analyzing cyclic loading characteristics of single piles

Tab.2 Computational parameters of sand in validation model

Fig.4 Comparison of numerical model results and centrifuge model test results

Fig.5 Schematic of positive batter pile and negative batter pile

Fig.6 Lateral load-displacement curves of single batter piles

Fig.7 Fitting analysis of lateral ultimate bearing capacity of single batter piles

Fig.8 Accumulated displacement at pile head of single piles under various load levels

Fig.9 Fitting analysis results of y₁

Fig.10 Fitting analysis results of δ_s

Fig.11 Fitting analysis results of

${y_N}$

Fig.12 Fitting analysis results of β

Fig.13 Distribution of lateral displacement of pile with depth under cyclic loading

Fig.14 Accumulation of bending moment of pile with cycle numbers under cyclic loading

Fig.15 Fitting analysis results of M_maxN

Fig.16 Fitting analysis results of m


[1]	POULOS H G Raked piles: virtues and drawbacks[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2006, 132 (6): 795- 803 doi: 10.1061/(ASCE)1090-0241(2006)132:6(795)

[2]	GEROLYMOS N, GIANNAKOU A, ANASTASOPOULOS L, et al Evidence of beneficial role of inclined piles: observations and summary of numerical analyses[J]. Bulletin of Earthquake Engineering, 2008, 6 (4): 705- 722 doi: 10.1007/s10518-008-9085-2

[3]	ZHANG L, MCVAY M C, LAI P W Centrifuge modelling of laterally loaded single battered piles in sands[J]. Canadian Geotechnical Journal, 1999, 36 (6): 1074- 1084 doi: 10.1139/t99-072

[4]	RAJASHREE S S, SITHARAM T G Nonlinear finite-element modeling of batter piles under lateral load[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2001, 127 (7): 604- 612 doi: 10.1061/(ASCE)1090-0241(2001)127:7(604)

[5]	MANOPPO F J Behaviour of the ultimate bearing capacity of single flexible batter pile under horizontal loads in homogeneous sand[J]. Dinamika Teknik Sipil, 2010, 10 (2): 116- 119

[6]	BAJAJ P, YADU L, CHOUKSEY S K Study on vertical and batter piles subjected to lateral loads in different non-cohesive sub-soil conditions[J]. International Journal of Geotechnical Engineering, 2019, 14 (6): 601- 613

[7]	曹卫平, 樊文甫水平荷载作用下斜桩承载变形性状数值分析[J]. 中国公路学报, 2017, 30 (9): 34- 42 CAO Wei-ping, FAN Wen-fu Numerical analysis on bearing and deformation behavior of horizontally loaded batter piles[J]. China Journal of Highway and Transport, 2017, 30 (9): 34- 42 doi: 10.3969/j.issn.1001-7372.2017.09.005

[8]	吕凡任. 倾斜荷载作用下斜桩基础工作性状研究[D]. 杭州: 浙江大学, 2004. LV Fan-ren. Study on behavior of batter piles under inclined load [D]. Hangzhou: Zhejiang University, 2004.

[9]	云天铨线载荷积分方程法分析桩顶受任意荷载的弹性斜桩[J]. 应用数学和力学, 1999, 20 (4): 351- 357 YUN Tian-quan Analysis of sloping elastic pile under arbitrary loads by line-loaded integral equation method[J]. Applied Mathematics and Mechanics, 1999, 20 (4): 351- 357 doi: 10.3321/j.issn:1000-0887.1999.04.004

[10]	ASHOUR M, ALAAELDIN A, ARAB M G Laterally loaded battered piles in sandy soils[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2020, 146 (1): 06019017 doi: 10.1061/(ASCE)GT.1943-5606.0002186

[11]	凌道盛, 任涛, 王云岗砂土地基斜桩水平承载特性p-y曲线法[J]. 岩土力学, 2013, 34 (1): 155- 162 LING Dao-sheng, REN Tao, WANG Yun-gang A p-y curves method for horizontal bearing characteristics of single batter pile in sands[J]. Rock and Soil Mechanics, 2013, 34 (1): 155- 162

[12]	曹卫平, 夏冰, 赵敏, 等砂土中水平受荷斜桩的p-y曲线及其应用[J]. 岩石力学与工程学报, 2018, 37 (3): 743- 753 CAO Wei-ping, XIA Bing, ZHAO min, et al p-y curves of laterally loaded batter piles in sand and its application[J]. Chinese Journal of Rock Mechanics and Engineering, 2018, 37 (3): 743- 753

[13]	曹卫平, 陶鹏, 赵敏, 等砂土中循环荷载与单调荷载组合作用下斜桩水平承载变形特性[J]. 长安大学学报:自然科学版, 2020, 40 (3): 11- 21 CAO Wei-ping, TAO Peng, ZHAO Min, et al Model test on bearing deformation behavior of batter piles under combined horizontal loads and monotonic loads in sand[J]. Journal of Chang’an University: Natural Science Edition, 2020, 40 (3): 11- 21

[14]	LONG J, VANNESTE G Effects of cyclic lateral loads on piles in sand[J]. Journal of Geotechnical Engineering, 1994, 120 (1): 225- 244 doi: 10.1061/(ASCE)0733-9410(1994)120:1(225)

[15]	LIN S S, LIAO J C Permanent strains of piles in sand due to cyclic lateral loads[J]. Journal of Geotechnical and Geoenvironmental Engineering, 1999, 125 (9): 798- 802 doi: 10.1061/(ASCE)1090-0241(1999)125:9(798)

[16]	ROSQUOET F, THOREL L, GAENIER J, et al Lateral cyclic loading of sand-installed piles[J]. Soils and Foundations, 2007, 47 (5): 821- 832 doi: 10.3208/sandf.47.821

[17]	ZHANG C R, WHITE D, RANDOLPH M Centrifuge modeling of the cyclic lateral response of a rigid pile in soft clay[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2011, 137: 717- 729 doi: 10.1061/(ASCE)GT.1943-5606.0000482

[18]	朱斌, 熊根, 刘晋超, 等砂土中大直径单桩水平受荷离心模型试验[J]. 岩土工程学报, 2013, 35 (10): 1807- 1815 ZHU Bin, XIONG Gen, LIU Jin-chao, et al Centrifuge modelling of a large-diameter single pile under lateral loads in sand[J]. Chinese Journal of Geotechnical Engineering, 2013, 35 (10): 1807- 1815

[19]	LEBLANC C, HOULSBY G T, BYRNE B W Response of stiff piles in sand to long-term cyclic lateral loading[J]. Géotechnique, 2010, 60 (2): 79- 90

[20]	张勋, 黄茂松, 胡志平砂土中单桩水平循环累积变形特性模型试验[J]. 岩土力学, 2019, 40 (3): 933- 941 ZHANG Xun, HUANG Mao-song, HU Zhi-ping Model tests on cumulative deformation characteristics of a single pile subjected to lateral cyclic loading in sand[J]. Rock and Soil Mechanics, 2019, 40 (3): 933- 941

[21]	GIANNAKOS S, GEROLYMOS N, GAZETAS G Cyclic lateral response of piles in dry sand: finite element modeling and validation[J]. Computers and Geotechnics, 2012, 44: 116- 131 doi: 10.1016/j.compgeo.2012.03.013

[22]	ACHMUS M, KUO Y S, ABDEL-RAHMAN K Behavior of monopile foundations under cyclic lateral load[J]. Computer and Geotechnics, 2009, 36: 725- 735 doi: 10.1016/j.compgeo.2008.12.003

[23]	张陈蓉, 朱治齐, 于锋, 等砂土中大直径单桩的长期水平循环加载累积变形[J]. 岩土工程学报, 2020, 42 (6): 1076- 1084 ZHANG Chen-rong, ZHU Zhi-qi, YU Feng, et al Accumulative displacement of long-term cyclic laterally loaded monopiles with large diameter sand[J]. Chinese Journal of Geotechnical Engineering, 2020, 42 (6): 1076- 1084

[24]	HUURMAN M Development of traffic induced permanent strains in concrete block pavements[J]. Heron, 1996, 41 (1): 29- 52

[25]	郭玉樹, 亚克慕斯·马丁, 阿布达雷赫曼·哈里用循环三轴试验分析海上风力发电机单桩基础侧向位移[J]. 岩土工程学报, 2009, 31 (11): 1729- 1734 KUO Yu-shu, ACHMUS Martin, ABDEL-RAHMAN Khalid Estimation of lateral deformation of monopile foundations by use of cyclic triaxial tests[J]. Chinese Journal of Geotechnical Engineering, 2009, 31 (11): 1729- 1734 doi: 10.3321/j.issn:1000-4548.2009.11.014

[26]	ABDEL-RAHMEN K, ACHMUS M. Finite element modelling of horizontally loaded monopile foundations for offshore wind energy converters in Germany [C]// Proceedings of the International Symposium on Frontiers in Offshore Geotechnics. Perth: [s. n.], 2005: 309-396.

[27]	KUO Y S. On the behavior of large diameter piles under cyclic lateral load [D]. Hannover: Leibniz University of Hannover, 2008.

[28]	刘晋超, 熊根, 朱斌, 等砂土海床中大直径单桩水平承载与变形特性[J]. 岩土力学, 2015, 36 (2): 591- 599 LIU Jin-chao, XIONG Gen, ZHU Bin, et al Bearing capacity and deflection behaviors of large diameter monopile foundations in sand seabed[J]. Rock and Soil Mechanics, 2015, 36 (2): 591- 599

[29]	ZHU B, LI T, XIONG G, et al Centrifuge model tests on laterally loaded piles in sand[J]. International Journal of Physical Modelling in Geotechnics, 2016, 16 (4): 160- 172 doi: 10.1680/jphmg.15.00023

[30]	王磊, 朱斌, 来向华砂土循环累积变形规律与显式计算模型研究[J]. 岩土工程学报, 2015, 37 (11): 2024- 2029 WANG Lei, ZHU Bin, LAI Xiang-hua Cyclic accumulative deformation of sand and its explicit model[J]. Chinese Journal of Geotechnical Engineering, 2015, 37 (11): 2024- 2029 doi: 10.11779/CJGE201511012

[31]	ZDRAVKOVIĆ L, TABORDA D M G, POTTS D M, et al. Numerical modelling of large diameter piles under lateral loading for offshore wind applications [C]// Proceeding of 3rd International Symposium on Frontiers in Offshore Geotechnics. Oslo: CRC Press, 2015: 759-764.

[32]	KYUNG D, LEE J Interpretative Analysis of lateral load-carrying behavior and design model for inclined single and group micropiles[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2018, 144 (1): 04017105 doi: 10.1061/(ASCE)GT.1943-5606.0001810

[33]	LITTLE R L, BRIAUD J L. Full scale cyclic lateral load tests on six single piles in sand: TAMU-RR-5640 [R]. Texas: College Station, 1988.

[34]	LI W, IGOE D, GAVIN K Field tests to investigate the cyclic response of monopiles in sand[J]. Proceedings of the Institution of Civil Engineers-Geotechnical Engineering, 2015, 168 (5): 407- 421 doi: 10.1680/jgeen.14.00104

[35]	张勋, 黄茂松水平循环荷载下砂土中沉井加桩基础累积变形特性[J]. 岩石力学与工程学报, 2016, 35 (6): 1256- 1272 ZHANG Xun, HUANG Mao-song Cumulative deformation of a caisson-piles composite foundation in sand subjected to cyclic lateral loading[J]. Chinese Journal of Rock Mechanics and Engineering, 2016, 35 (6): 1256- 1272

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