Analytical Solution for Vertical Vibration Response of Screw Piles Considering Three-Dimensional Wave Effect in Soil

doi:10.16183/j.cnki.jsjtu.2024.022

Abstract

Abstract:

By modeling the soil as a three-dimensional axisymmetric medium and considering the three-dimensional wave effects within it, a theoretical study is conducted on the frequency domain characteristics of the longitudinal vibration of threaded piles in viscoelastic foundations. Based on the three-dimensional wave theory, the wave equation of the soil surrounding the pile under axisymmetric conditions is established. The vibration response solution of the screw pile under fully coupled pile soil conditions is obtained using Laplace transformation and variable separation methods. The results show that compared to the models that neglect radial displacement, the solution incorporating the three-dimensional wave effect of soil captures both longitudinal and shear waves in the soil, offering higher accuracy. In the low-frequency range, longer screw piles exhibit greater dynamic stiffness and damping, with the lateral friction along the pile shaft playing a more prominent role. Additionally, reducing the spacing between screw threads enhances the restraining effect of the surrounding soil, significantly improving vertical bearing capacity of the pile foundation. The existence of the screw threads has a substantial influence on the vibration of the screw pile.

Key words: screw pile, three-dimensional wave effect, vertical vibration, analytical solution, complex dynamic stiffness

CLC Number:

TU470

WANG Boyu, HU Zhiping, ZHANG Yonghui, YIN Ke, MA Jiakuan. Analytical Solution for Vertical Vibration Response of Screw Piles Considering Three-Dimensional Wave Effect in Soil[J]. Journal of Shanghai Jiao Tong University, 2025, 59(12): 1855-1865.

Figures/Tables 11

Fig.1

Fig.2

Fig.3

Fig.4

Fig.5

Fig.6

Fig.7

Fig.8

Fig.9

Fig.10

Fig.11

References 30

[1]	李成巍, 陈锦剑, 吴琼, 等. 灌注螺纹桩承载机理与计算方法[J]. 上海交通大学学报, 2010, 44(6): 726-730.
	LI Chengwei, CHEN Jinjian, WU Qiong, et al. Bearing mechanism and caluation method of screw pile[J]. Journal of Shanghai Jiao Tong University, 2010, 44(6): 726-730.
[2]	HUSSEIN A F, EL NAGGAR M H. Fragility analysis of helical piles supporting bridge in different ground conditions[J]. Journal of Bridge Engineering, 2022, 27(9): 04022075. doi: 10.1061/(ASCE)BE.1943-5592.0001919 URL
[3]	马甲宽, 罗丽娟, 任翔, 等. 基于统一强度理论的螺纹桩承载力计算方法[J]. 上海交通大学学报, 2022, 56(6): 754-763. doi: 10.16183/j.cnki.jsjtu.2021.077
	MA Jiakuan, LUO Lijuan, REN Xiang, et al. Calculation method of bearing capacity of screw pile based on unified strength theory[J]. Journal of Shanghai Jiao Tong University, 2022, 56(6): 754-763.
[4]	SPAGNOLI G. Some considerations regarding the use of helical piles as foundation for offshore structures[J]. Soil Mechanics and Foundation Engineering, 2013, 50(3): 102-110. doi: 10.1007/s11204-013-9219-7 URL
[5]	SOLTANI J H, ZAHEDI P. Load transfer-mechanism of screw piles in sandy soils[J]. Indian Geotechnical Journal, 2020, 50: 871-879. doi: 10.1007/s40098-020-00431-5
[6]	XIAO S, CERATO A B. Investigation of dynamic responses of a helical pile in clay using vibration tests[C]// International Foundations Congress and Equipment Expo (IFCEE). Texas, USA: DFI, 2021: 230-238.
[7]	ALWALAN M F, EL NAGGAR M H. Analytical models of impact force-time response generated from high strain dynamic load test on driven and helical piles[J]. Computers and Geotechnics, 2020, 128: 103834. doi: 10.1016/j.compgeo.2020.103834 URL
[8]	MALIK A A, KUWANO J, TACHIBANA S, et al. End bearing capacity comparison of screw pile with straight pipe pile under similar ground conditions[J]. Acta Geotechnica, 2017, 12: 415-428. doi: 10.1007/s11440-016-0482-4 URL
[9]	AL-BAGHDADI T A, BROWN M J, KNAPPETT J A, et al. Effects of vertical loading on lateral screw pile performance[J]. Proceedings of the Institution of Civil Engineers-Geotechnical Engineering, 2017, 170(3): 259-272. doi: 10.1680/jgeen.16.00114 URL
[10]	MA J K, WANG R, HU Z P, et al. Limit equilibrium theory in calculating screw pile bearing capacity under compression[J]. Proceedings of the Institution of Civil Engineers-Geotechnical Engineering, 2023, 177(5): 468-481. doi: 10.1680/jgeen.22.00122 URL
[11]	MA J K, LUO L J, MU T, et al. Experimental study on characteristics of pile-soil interaction in screw piles[J]. Buildings, 2022, 12(12): 2091. doi: 10.3390/buildings12122091 URL
[12]	EL-SAWY M K, EL NAGGAR M H, CERATO A B, et al. Data reduction and dynamic p-y curves of helical piles from large-scale shake table tests[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2019, 145(10): 04019075. doi: 10.1061/(ASCE)GT.1943-5606.0002146 URL
[13]	EL-SAWY M K, EL NAGGAR M H, CERATO A, et al. Seismic performance of helical piles in dry sand from large-scale shaking table tests[J]. Géotechnique, 2019, 69(12): 1071-1085. doi: 10.1680/jgeot.18.P.001 URL
[14]	FAYEZ A F, EL NAGGAR M H, CERATO A B, et al. Assessment of SSI effects on stiffness of single and grouped helical piles in dry sand from large shake table tests[J]. Bulletin of Earthquake Engineering, 2022, 20(7): 3077-3116. doi: 10.1007/s10518-021-01241-7
[15]	FAYEZ A F, EL NAGGAR M H, CERATO A B, et al. Seismic response of helical pile groups from shake table experiments[J]. Soil Dynamics and Earthquake Engineering, 2022, 152: 107008. doi: 10.1016/j.soildyn.2021.107008 URL
[16]	HUSSEIN A F, EL NAGGAR M H. Effect of model scale on helical piles response established from shake table tests[J]. Soil Dynamics and Earthquake Engineering, 2022, 152: 107013. doi: 10.1016/j.soildyn.2021.107013 URL
[17]	HUSSEIN A F, EL NAGGAR M H. Dynamic performance of driven and helical piles in cohesive soil[J]. Acta Geotechnica, 2023, 18(3): 1543-1568. doi: 10.1007/s11440-022-01649-8
[18]	SHAHBAZI M, CERATO A B, EL NAGGAR M H, et al. Evaluation of seismic soil-structure interaction of full-scale grouped helical piles in dense sand[J]. International Journal of Geomechanics, 2020, 20(12): 04020228. doi: 10.1061/(ASCE)GM.1943-5622.0001876 URL
[19]	ORANG M J, BOUSHEHRI R, MOTAMED R, et al. Large-scale shake table experiment on the performance of helical piles in liquefiable soils[C]// 45th DFI Annual Conference on Deep Foundations. Hawthorne, NJY, USA: Deep Foundations Institute, 2020: 1-10.
[20]	ELKASABGY M, EL NAGGAR M H. Dynamic response of vertically loaded helical and driven steel piles[J]. Canadian Geotechnical Journal, 2013, 50(5): 521-535. doi: 10.1139/cgj-2011-0126 URL
[21]	张新春, 白云灿, 何泽群, 等. 桩土相互作用的钢管螺旋桩水平动力响应研究[J]. 中国工程机械学报, 2019, 17(6): 547-553.
	ZHANG Xinchun, BAI Yuncan, HE Zequn, et al. Research on the dynamical response characteristics of steel screw pile under lateral vibration[J]. Chinese Journal of Construction Machinery, 2019, 17(6): 547-553.
[22]	朱昂. 螺旋桩振动响应特性的模型试验研究[D]. 北京: 华北电力大学, 2020.
	ZHU Ang. Model test study on vibration response characteristics of screw pile[D]. Beijing: North China Electric Power University, 2020.
[23]	EL NAGGAR M H. Recent advances in helical piles for dynamic and seismic applications[C]// Conference on Performance Based Design in Earthquake Geotechnical Engineering. Beijing, China: Springer, 2022: 24-49.
[24]	ALWALAN M F, EL NAGGAR M H. Load-transfer mechanism of helical piles under compressive and impact loading[J]. International Journal of Geomechanics, 2021, 21(6): 04021082. doi: 10.1061/(ASCE)GM.1943-5622.0002037 URL
[25]	胡昌斌, 王奎华, 谢康和. 桩与粘性阻尼土耦合纵向振动时桩顶时域响应研究[J]. 振动工程学报, 2004(1): 76-81.
	HU Changbin, WANG Kuihua, XIE Kanghe. Study on time domain response of pile top under longitudinal vibration coupled with viscous damping soil[J]. Journal of Vibration Engineering, 2004(1): 76-81.
[26]	张明远, 鲁连涛, 唐明明, 等. 横向载荷作用下螺栓临界松动载荷数值计算方法研究[J]. 机械工程学报, 2018, 54(5): 173-178. doi: 10.3901/JME.2018.05.173
	ZHANG Mingyuan, LU Liantao, TANG Mingming, et al. Research on numerical calculation method of critical load for bolt loosening under transverse loading[J]. Journal of Mechanical Engineering, 2018, 54(5): 173-178. doi: 10.3901/JME.2018.05.173
[27]	汤连生, 张鹏程, 王洋, 等. 土体内外摩擦及摩擦强度试验研究[J]. 岩石力学与工程学报, 2004(6): 974-979.
	TANG Liansheng, ZHANG Pengcheng, WANG Yang, et al. Testing study on internal and external friction and frictional strength of soils[J]. Chinese Journal of Rock Mechanics and Engineering, 2004(6): 974-979.
[28]	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 Qingguang, LIU Jie, HE Jie, et al. Comparative research on penetration resistance of jacked tapered piles and uniform section piles[J]. Rock and Soil Mechanics, 2013, 35(5): 897-901.
[29]	王永洪, 张明义, 李长河, 等. 管桩静压侧摩阻力及桩土界面滑动摩擦机制研究[J]. 应用基础与工程科学学报, 2021, 29(6): 1535-1549.
	WANG Yonghong, ZHANG Mingyi, LI Changhe, et al. Research on the static pressure side friction resistance of pipe piles and the mechanism of sliding friction at the pile soil interface[J]. Journal of Basic Science and Engineering, 2021, 29(6): 1535-1549.
[30]	丁选明. 桩纵向振动响应试验与解析方法研究[D]. 南京: 河海大学, 2008.
	DING Xuanming. Experimental and analytical methods for longitudinal vibration response of piles[D]. Nanjing: Hohai University, 2008.