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郑长杰, 崔亦秦, 丁选明, 栾鲁宝. 水平动荷载作用下端承型群桩动力相互作用解析解[J]. 岩土工程学报. DOI: 10.11779/CJGE20240837
引用本文: 郑长杰, 崔亦秦, 丁选明, 栾鲁宝. 水平动荷载作用下端承型群桩动力相互作用解析解[J]. 岩土工程学报. DOI: 10.11779/CJGE20240837
Analytical solution for dynamic interaction of end-bearing pile groups subjected to horizontal dynamic loads[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20240837
Citation: Analytical solution for dynamic interaction of end-bearing pile groups subjected to horizontal dynamic loads[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20240837

水平动荷载作用下端承型群桩动力相互作用解析解

Analytical solution for dynamic interaction of end-bearing pile groups subjected to horizontal dynamic loads

  • 摘要: 本文基于土体平面应变模型,对小间距、大直径群桩计算理论进行修正,建立了单相土地基中考虑被动桩散射效应的“桩-土-桩”水平振动响应分析模型。依托该模型,通过对水平动荷载作用下的土体振动控制方程进行解耦,得到桩周土位移和水平动力复阻抗的解析表达式,然后考虑“入射波-被动桩”、“散射波-主动桩”的相互作用,分别求解外荷载作用下的主动桩位移、入射波作用下的被动桩位移和散射波作用下的主动桩位移,并定义散射效应因子,对已有“桩-桩”动力相互作用因子进行修正。基于修正的作用因子,建立考虑被动桩散射效应的群桩水平动刚度计算矩阵,结合位移叠加原理,推导考虑散射效应的群桩水平动刚度解析表达式。最后通过算例分析表明:桩间距、桩基直径和桩周土剪切模量是散射效应的主控因素;散射效应对群桩刚度的作用效果并非一成不变,将随着振动频率的逐渐增加由承载有利向承载不利过渡;承载有利与承载不利的转折频率与桩间距、桩基直径、荷载作用方向、桩周土剪切模量等因素有关。

     

    Abstract: An analytical model for the “pile-soil-pile” horizontal interaction in pile groups that accounts for the scattering effect of the receiver pile is presented in this study based on the plane strain theory, to modify the calculating theory for closely-spaced and large-diameter pile groups embedded in single-phased soils. The displacement and horizontal dynamic resistance of the surrounding soil are analytically obtained by decoupling the governing equation of the soil. After that, the displacement of the source pile caused by the applied horizontal load, the displacement of the receiver pile caused by the incident wave and the displacement of the source pile caused by the scattering wave are respectively derived by considering the “incident wave-receiver pile interaction” and the “scattering wave-source pile interaction”. Following that, a new-defined scattering factor for horizontally vibrating groups is proposed to modify the reported “pile-pile” interaction factor. Then, this modified interaction factor is used to establish the calculating matrix for the pile groups subjected to horizontal dynamic loads, and to further derive the corresponding dynamic complex impedance accounting for the scattering effect of the receiver pile. It is found through some arithmetical cases that the pile spacing, pile diameter and surrounding soil’s shearing modulus dominate the scattering effect; the scattering effect is frequency-dependent, transitioning from a load-bearing favorable case to a load-bearing unfavorable case with the increase of the vibration frequency; the critical frequency governing the transition between the favorable and the unfavorable state of the scattering effect is dependent on the pile spacing, pile diameter, the direction of the applied load and the shear modulus of the soil.

     

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