|
|
|
| Vertical kinematic response of strength composite pile in saturated foundation under vertically-incident P-waves |
| ZHOU Fengxi, SUN Liepu, LIU Hongbo, LIU Zhiyi, CAO Xiaolin |
(School of Civil and Hydraulic Engineering, Lanzhou University of Technology, Lanzhou, Gansu 730050, China)
|
|
|
|
|
Abstract As a novel type of pile foundation, the investigation into the dynamic characteristics of stiff composite piles holds substantial theoretical significance for geotechnical engineering. Grounded in the principles of soil dynamics and pile foundation vibration theory, this study systematically examines the vertical displacement response at the pile head and along the pile shaft of stiff composite piles embedded in viscoelastic saturated soil layers under the influence of vertically incident seismic P-waves. Initially, a wave equation for saturated soil is formulated in cylindrical coordinates based on Biot?s porous medium theory. Subsequently, by integrating the vertical vibration equation for strength composite piles, a closed-form series solution for the longitudinal displacement of the soil skeleton is derived, leading to an analytical solution for the vertical displacement of strength composite piles under specified boundary conditions. Finally, through computational examples and parametric studies, this work elucidates the dynamic behavior of the interaction system between strength composite piles and saturated soil subjected to vertical seismic P-wave action at the pile tip. The findings indicate that moderately reducing the radius of the concrete core pile while increasing its length can enhance its vertical seismic resistance; conversely, during high-frequency stages, an increase in elastic modulus of the cement outer pile may detrimentally affect the seismic performance of strength composite piles. In designing these structures, it is recommended that the radius of concrete core piles be maintained within 40% to 60% of their total radius while setting their length to 20 to 40 times this radius. Additionally, it is advisable that the elastic modulus for cement outer piles be established at 2% to 5% relative to that of concrete core piles.
|
|
|
|
|
|
[1] 叶观宝，蔡永生，张 振. 加芯水泥土桩复合地基桩土应力比计算方法研究[J]. 岩土力学，2016，37(3)：672–678.(YE Guanbao，CAI Yongsheng，ZHANG Zhen. Research on calculation of pile-soil stress ratio for composite foundation reinforced by stiffened deep mixed piles[J]. Rock and Soil Mechanics，2016，37(3)：672–678.(in Chinese))
[2] 李俊才，邓亚光，宋桂华，等. 素混凝土劲性水泥土复合桩承载机理分析[J]. 岩土力学，2009，30(1)：181–185.(LI Juncai，DENG Yaguang，SONG Guihua，et al. Analysis of load-bearing mechanism of composite foundation of plain concrete reinforced cement-soil mixing piles[J]. Rock and Soil Mechanics，2009，30(1)：181–185.(in Chinese)
[3] 柳鸿博，戴国亮，周凤玺，等. 黏弹性非饱和土中劲性复合桩纵向动力响应分析[J]. 岩土力学，2024，45(5)：1 365–1 377.(LIU Hongbo，DAI Guoliang，ZHOU Fengxi，et al. Longitudinal dynamic response of strength composite pile embedded in viscoelastic unsaturated soil[J]. Rock and Soil Mechanics，2024，45(5)：1 365–1 387.(in Chinese))
[4] DAI G，LIU H，CHEN X，et al. Analytical solution for the horizontal dynamic response of strength composite piles in fractional viscoelastic unsaturated ground[J]. Computers and Geotechnics，2023，162：105634.
[5] 王安辉，章定文，张艳芳. 砂土中水泥土复合管桩震动响应试验研究[J]. 岩土工程学报，2021，43(增2)：121–124.(WANG Anhui，ZHANG Dingwen，ZHANG Yanfang. Seismic responses of pipe piles improved with cement-treated soil in sand[J]. Chinese Journal of Geotechnical Engineering，2021，43(Supp.2)：121–124.(in Chinese))
[6] ZHANG D，WANG A，DING X. Seismic response of pile groups improved with deep cement mixing columns in liquefiable sand：shaking table tests[J]. Canadian Geotechnical Journal，2022，59(6)：994–1006.
[7] 俞建霖，徐嘉诚，周佳锦，等. 混凝土芯水泥土复合桩混凝土–水泥土界面摩擦特性试验研究[J]. 土木工程学报，2022，55(8)：93–104.(YU Jianlin，XU Jiacheng，ZHOU Jiajin，et al. Experimental study on frictional capacity of concrete cemented soil interface of concrete-cored cemented soil column[J]. China Civil Engineering Journal，2022，55(8)：93–104.(in Chinese))
[8] 文 磊，刘 钟，马晓华，等. 粉土地基中劲性复合桩抗压承载特性与荷载传递机制研究[J]. 岩土力学，2024，45(2)：511–524. (WEN Lei，LIU Zhong，MA Xiaohua，et al. Compressive bearing capacity and load transfer mechanism of stiffened deep cement mixing pile installed in silt[J]. Rock and Soil Mechanics，2024，45(2)：511–524.(in Chinese))
[9] 朱 锐，周 峰，陈廷柱，等. 劲性复合桩挤土效应及承载力作用机制研究[J]. 岩土力学，2023，44(12)：3 577–3 586.(ZHU Yue，ZHOU Feng，CHEN Tingzhu，et al. Soil squeezing effect and bearing mechanism of strength composite pile[J]. Rock and Soil Mechanics，2023，44(12)：3 577–3 586.(in Chinese))
[10] ZHOU J J，GONG X N，WANG K H，et al. Testing and modeling the behavior of pre-bored grouting planted piles under compression and tension[J]. Acta Geotechnica：An International Journal for Geoengineering，2017，12(5)：1 061–1 075.
[11] ZHOU J J，GONG X N，WANG K H，et al. Shaft capacity of the pre-bored grouted planted pile in dense sand[J]. Acta Geotechnica，2018，13：1 227–1 239.
[12] ZHOU J J，GONG X N，ZHANG R H，et al. Model tests comparing the behavior of pre-bored grouted planted piles and a wished-in-place concrete pile in dense sand[J]. Soils and Foundations，2019，59(1)：84–96.
[13] ZHOU J J，GONG X N，ZHANG R H，et al. Field behavior of pre-bored grouted planted nodular pile embedded in deep clayey soil[J]. Acta Geotechnica，2020，15(7)：1 847–1 857.
[14] CHIOU J S，LEE Y W，CHEN P C. Improved pseudostatic analysis of pile response to seismic ground movement：Multiple characteristic ground displacement profiles[J]. Soil Dynamics and Earthquake Engineering，2024，181：108659.
[15] NIKOLAOU S，TAZOH T，GAZETAS G，et al. Kinematic pile bending during earthquakes：analysis and field measurements[J]. Geotechnique，2001，51(5)：425–440.
[16] LAORA R D，MANDOINI A，MYLONAKIS G，et al. Insight on kinematic bending of flexible piles in layered soil[J]. Soil Dynamics and Earthquake Engineering，2012，43(1)：309–322.
[17] ZHENG C，KOURETZIS G，LUAN L，et al. Kinematic response of pipe piles subjected to vertically propagating seismic P-waves[J]. Acta Geotechnica，2021，16：895–909.
[18] ZHENG C，KOURETZIS G，DING X. Seismic response of end-bearing piles in saturated soil to P-waves[J]. Acta Geotechnica，2023，18(10)：5 519–5 533.
[19] DAI D，NAGGAR M H E，ZHANG N，et al. Rigorous solution for kinematic response of floating piles subjected to vertical P-wave[J]. Applied Mathematical Modelling，2022，106：114–125.
[20] ZHANG S，WANG H，ZHANG J，et al. Vertical seismic responses of floating pipe piles with soil plugs in layered soils[J]. Computers and Geotechnics，2024，176：106673.
[21] LIU H，DAI G，ZHOU F，et al. Vertical kinematic response of an end-bearing pipe pile in fractional viscoelastic unsaturated soil under vertically-incident P-waves[J]. Applied Mathematical Modelling，2023，120：686–710.
[22] ZHAO M，HUANG Y，WANG P，et al. An analytical solution for the dynamic response of an end-bearing pile subjected to vertical P-waves considering water-pile-soil interactions[J]. Soil Dynamics and Earthquake Engineering，2022，153：107126.
[23] ANOYATIS G，DI LAORA R，MYLONAKIS G. Axial kinematic response of end‐bearing piles to P waves[J]. International Journal for Numerical and Analytical Methods in Geomechanics，2013，37(17)：2 877–2 896.
|
|
|
|
2025, Vol. 44 
