考虑竖向荷载影响的非饱和地基中桩的水平振动

doi:10.13722/j.cnki.jrme.2021.0341

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摘要研究考虑竖向荷载影响的非饱和地基中桩的水平振动问题。首先，在考虑竖向荷载影响的情况下基于Timoshenko梁模型和三维多孔连续介质理论建立非饱和土–桩耦合振动模型，然后通过直接求解法、分离变量法和桩土边界条件求得桩体的水平位移、转角、弯矩和剪力以及桩顶动力复阻抗的解析解，将本文退化解与已有理论解进行对比，验证提出模型的正确性；通过与Euler梁模型下振动解的对比，进一步分析竖向荷载和桩顶承台质量对桩体动力响应变化规律的影响，研究结果表明：(1) 竖向荷载仅对桩顶水平动力阻抗的刚度因子存在显著影响，不会引起共振频率的变化但是会使得共振频率下对应的阻抗极小值降低；(2) 采用Euler梁模型计算得到的复阻抗始终更大，但出于安全考虑应该优先采用结果偏小的Timoshenko梁模型；(3) 当竖向荷载增加时，桩顶处的水平位移、桩身中上部的转角以及桩身中下部的弯矩、剪力均略微增大，可能威胁结构安全；(4) 考虑桩顶承台质量时，桩体动力响应有一定程度的减小。

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	杨紫健1
	吴文兵1
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	张云鹏1
	刘浩1
	董龙龙1
	王立兴1

关键词 ：桩基础, 竖向荷载, 非饱和土, 横向耦合振动, 桩顶动力复阻抗

Abstract：In this paper，the horizontal vibration of piles in unsaturated foundation considering the vertical load is studied. On the basis of the Timoshenko beam model and three dimensional poroelastic unsaturated continuum medium theory，the soil-pile interaction model considering the vertical load at the pile top is established. Through the direct solving method，variable separation method and the boundary conditions of the soil-pile system，the analytical solutions of horizontal displacement，rotation angle，bending moment，shear force and dynamic complex impedance of pile head are obtained. The solution in this paper is verified through the comparisons against existing theoretical solutions. Further，the differences between the Euler and Timoshenko Beam theories are illustrated under the condition of vertical load and pile cap mass. The major findings can be summarized as：(1) The vertical load only has influences on the stiffness factor of the horizontal dynamic impedance at the pile top，and will not cause any change in the resonance frequency except for the reduction of the minimum value. (2) The complex impedance calculated by the Euler beam model is always larger，but the Timoshenko beam model should be preferred for safety reasons. (3) With the increase of vertical load，the horizontal displacement at the pile top，the rotation angle at the middle and upper part of the pile，the bending moment and shear force at the middle and lower part of the pile all increase slightly，which may threaten the structural safety. (4) When the pile cap mass is considered，the dynamic response of the pile decreases to a certain extent.

Key words： pile foundation vertical load unsaturated soil transverse coupled vibration dynamic complex impedance of pile top

引用本文:

杨紫健1，吴文兵1，2，张云鹏1，刘浩1，董龙龙1，王立兴1. 考虑竖向荷载影响的非饱和地基中桩的水平振动[J]. 岩石力学与工程学报, 2022, 41(S1): 2979-2990.
YANG Zijian1，WU Wenbing1，2，ZHANG Yunpeng1，LIU Hao1，DONG Longlong1，WANG Lixing1. Horizontal vibration of piles in unsaturated foundations considering vertical loads. , 2022, 41(S1): 2979-2990.

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https://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2021.0341 或 https://rockmech.whrsm.ac.cn/CN/Y2022/V41/IS1/2979

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