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《建筑科学与工程学报》[ISSN:1673-2049/CN:61-1442/TU]

卷:

期数:

2026年02期

页码:

210

栏目:

岩土工程

出版日期:

2026-03-30

文章信息/Info

Title:

Analysis method of horizontal bearing characteristics of pile foundation based on energy method under small deformations

文章编号:

1673-2049(2026)02-0210-11

作者:

马天忠^1,2,3,牛碧辰^1,2,3,郝建炳^1,2,3,王正振^1,2,3

(1. 兰州理工大学 土木与水利工程学院,甘肃 兰州 730050; 2. 兰州理工大学 甘肃省土木工程防灾减灾重点实验室,甘肃 兰州 730050; 3. 兰州理工大学 西部土木工程防灾减灾教育部工程研究中心,甘肃 兰州 730050)

Author(s):

MA Tianzhong^1,2,3, NIU Bichen ^1,2,3, HAO Jianbing ^1,2,3, WANG Zhengzhen ^1,2,3

(1. School of Civil and Hydraulic Engineering, Lanzhou University of Technology, Lanzhou 730050, Gansu, China; 2. Key Laboratory of Disaster Mitigation in Civil Engineering of Gansu Province, Lanzhou University of Technology, Lanzhou 730050, Gansu, China; 3. Western Engineering Research Center of Disaster Mitigation in Civil Engineering of Ministry of Education, Lanzhou University of Technology, Lanzhou 730050, Gansu, China)

关键词:

桩基;  能量原理;  Pasternak地基模型;  Timoshenko梁理论;  有限差分法

Keywords:

pile foundation;  energy principle;  Pasternak foundation model;  Timoshenko beam theory;  finite difference method

分类号:

TU473

DOI:

10.19815/j.jace.2024.07005

文献标志码:

A

摘要:

为了探究更高精度的小变形下桩基水平承载特性分析方法,并分析不同参数对水平荷载作用下桩身受力性状的影响及各参数的敏感性,借助Pasternak地基模型及Timoshenko梁理论建立了小变形下水平受荷桩桩-土系统的计算模型; 分析了桩侧土体变形的连续性以及桩体的剪切变形,并通过考虑桩、土剪切应变能给出了水平受荷桩基桩-土系统的能量方程; 基于最小势能原理,利用变分法得到了桩6基挠曲微分方程; 通过两个实际案例与传统不考虑桩身剪切变形的Euler-Bernoulli梁理论进行对比,分析了桩、土剪切刚度以及长径比对桩身受力性状的影响。结果表明:所提方法比Euler-Bernoulli梁理论具有更高的精度,适用于小变形下水平受荷桩桩身受力变形分析; 桩身响应随着土的剪切刚度增大而增大,随着桩的剪切刚度增大而减小,但前者对桩身响应的影响更为显著; 随着长径比的增加桩体呈现出柔性桩的特点,桩身位移增加而桩身弯矩减小。

Abstract:

In order to explore a more accurate method for analyzing the horizontal bearing characteristics of pile foundations under small deformations, and to analyze the influence of different parameters on the stress characteristics of pile bodies under horizontal loads and the sensitivity of each parameter, a calculation model for the pile-soil system of horizontally loaded piles under small deformations was established using the Pasternak foundation model and Timoshenko beam theory. The continuity of soil deformation on pile side and the shear deformation of pile were analyzed, and the energy equation of horizontal loaded pile-soil system was given by considering the shear strain energy of pile and soil. The differential equation of pile foundation deflection was obtained through the variational method using the principle of minimum potential energy. Two practical cases were compared with the traditional Euler-Bernoulli beam theory that did not consider pile shear deformation. The influences of pile and soil shear stiffness, as well as aspect ratio, on the stress behavior of pile body were analyzed. The results show that the proposed method has higher accuracy than Euler-Bernoulli beam theory and is suitable for analyzing the stress and deformation of horizontal loaded piles under small deformations. The response of pile body increases with the increase of soil shear stiffness and decreases with the increase of pile shear stiffness, but the former has a more significant impact on the pile body response. As the aspect ratio increases, the pile exhibits the characteristics of a flexible pile, with an increase in pile displacement and a decrease in pile bending moment.

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相似文献/References:

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备注/Memo

备注/Memo:

收稿日期:2024-07-03
基金项目:国家自然科学基金项目(52068048)
作者简介:马天忠(1979-),男,工学博士,副教授,Email:matz0914@163.com。
通信作者:王正振(1989-),男,工学博士,副教授,Email:wangzz@lut.edu.cn。
Author resume: MA Tianzhong(1979-), male, PhD, associate professor, E-mail: matz0914@163.com; WANG Zhengzhen(1989-), male, PhD, associate professor, E-mail: wangzz@lut.edu.cn.

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更新日期/Last Update: 2026-04-01