考虑竖向荷载影响的非饱和地基中桩的水平振动 杨紫健.pdf

: .
第41卷 增1 ated 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，

收稿日期：2021–04–12；修回日期：2021–05–12
基金项目：国家自然科学基金资助项目(51678547，51878634)；浙江省自然科学基金杰出青年项目(LR21E080005)
Supported by the National Natural Science Foundation of China(Grant Nos. 51678547 and 51878634) and Outstanding Youth Project of Natural Science
Foundation of Zhejiang Province(Grant No. LR21E080005)
作者简介：杨紫健(1997–)，男，2019 年毕业于江西理工大学地质工程专业，现为硕士研究生，主要从事桩基工程理论与技术方面的研究工作。
E-mail：******@。通讯作者：吴文兵(1988–)，男，博士，现任教授、博士生导师。E-mail：******@
DOI：.• 2980 • 岩石力学与工程学报 2022 年
the rotation angle at the middle and upper part of the pile，the bending moment and shear force at the middle and
lower par