桩顶水平动荷载作用下水–桩–土相互作用的解析解
赵 密1，黄义铭1，王丕光*1，徐海滨2，杜修力1
(1．北京工业大学城市与工程安全减灾教育部重点实验室，北京 100124；2. 中国长江三峡集团有限公司，北京 100038)
摘 要：近海结构单桩基础一般会遭受到多种水平动力荷载作用。针对端承桩在桩顶水平动力荷载作用下的动力响应问题，建立了一种三维水–桩–土相互作用系统模型；首先，桩和土体假设为线黏弹性介质，水体假设为线性声学介质；然后通过亥姆霍兹分解和分离变量法，给出了水体和土体阻抗对水–桩–土相互作用系统中桩体动力响应的解析解，进一步根据桩与水体、土体接触界面的连续条件，得到频域下桩体位移表达式。通过与子结构方法进行对比，验证了本文解析解的合理性；最后研究了不同桩体和土体参数时水体对桩体顶部位移响应的影响。结果表明，在海上桩基设计中考虑水–桩–土相互作用是非常有必要的。
关键词：近海结构；解析解；水平振动；桩–水相互作用；桩–土相互作用
中图分类号：TU470 文献标识码：A 文章编号：1000–4548(2022)05–0907–09
作者简介：赵 密(1980— )，男，博士，教授，博士生导师，主要从事重大工程抗震领域研究工作，E-mail: zhaomi@bjut.edu.cn。
基金项目：国家自然科学基金面上项目（52078010）；教育部创新团队项目（IRT_17R03）
收稿日期：2021–07–16
*通信作者（E-mail:
wangpiguang1985@126.com）
Analytical solution for water-pile-soil
interaction under horizontal dynamic loads on pile head
ZHAO Mi1, HUANG Yi-ming1, WANG Pi-guang1,
XU Hai-bin2, DU Xiu-li1
(1. Key Laboratory of Urban Security and
Disaster Engineering, Ministry of Education, Beijing University of Technology,
Beijing 100124, China; 2. China Three Gorges Corporation, Beijing 100038,
China)
Abstract: Offshore structures of a single
pile are generally subjected to a variety of horizontal dynamic loads. In order
to study the dynamic response of end-supported piles under horizontal dynamic
loads on pile head, a three-dimensional water-pile-soil interaction system
model is established. The pile and soil are assumed to be a linear viscoelastic
media, and the water is assumed to be a linear acoustic media. Through the
Helmholtz method for decomposition and separation of variables, an analytical
solution is obtained for the resistance of the soil layer and water media to
the water-pile-soil system. The displacement and horizontal dynamic complex
impedance of the pile are then obtained in frequency domain based on the
continuity conditions of contact interface between the pile and water and soil.
The present solution is compared with the substructure method to verify the
rationality of the method. Finally, the influences of water on the displacement
response of pile top under different pile and soil parameters are studied. The
results indicate that it is necessary to consider the water-pile-soil
interaction in the design of the piles installed in offshore areas.
Key words: offshore structure; analytical
solution; horizontal vibration; pile-water interaction; pile-soil interaction
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