第39秦第3期 2017年6月
土水建筑与环境工程
Journal of Civil,Architectural &.Environmental Engineering
doi:10.11835/j.issn. 1674-4764. 2017.03. 015
Vol. 39 No. 3 Jun.2017
水平荷载作用下单桩的虚拟桩解法及参数
曹明
（上海开放大学理工学院，上海200433）
摘要：根据Muki&Sternberg的虚拟桩方法，将水平荷载作用下单桩的问题分解为弹性半空间扩展土和一根虚拟桩的叠加，其中虚拟的弹性模量等于桩的弹性模量与土的弹性模量之差。基于水平位移协调条件推导出求解桩-土间相互作用所需要的第二类Fredholm积分方程，通过广义胡可定律推导出该积分方程间断点的显式解，从而提高了Fredholm积分方程的数值计算精度并简化了计算程序的编写，根据Mindlin解推导出位移影响函数，简化了位移函数的推导过程。参数分析表明，桩土弹性模量比对单位水平力作用下桩身最大弯矩的位置有明显的影响，随着柱刚度的增加，桩身最大弯矩的位置随之加深。
关键词：水平荷截；虚拟桩；积分方程；间断点；参数分析
中图分类号：TU470
文献标志码：A
文章编号：1674-4764(2017)03-0115-07
Fictitious pile approach and parametric analysis of laterally loaded piles
CaoMing
(Institute of Science and Technology, Shanghai Open University, Shanghai 200433, P. R. China)
Abstract:Following the technique proposed by Muki and Sternberg, the problem is decomposed into an extended soil mass and a fictitious pile characterized respectively by Young's modulus of the soil and that of the difference between the pile and soil. A Fredholm integral equation of the second kind is established which imposes the displacement compatibility condition. According to the generalized Hooke's law, the explicit solutions for the discontinuous point of the integral equation is derived, which improves the numerical accuracy and simplifies the calculation procedure. Based on the Mindlin's solution, the displacement influence function is derived which is simple. The results show that the pile-soil stiffness ratios have obvious influence on the position of the maximum bending moment for the pile under unit shear. With the increase of the pile stiffness the position of the maximum bending moment of the pile is deeper.
Keywords:laterally loaded; fictitious pile; integral equation; discontinuous point; parametric analysis
随着国民经济的发展，建设了大量的高层建筑、桥梁和海上平台，桩基是这些工程结构基础的主要
收稿日期：2016-08-26
形式。但已有的研究成果主要集中在桩基承受竖向荷载时的工作性能，而对水平向荷载作用下桩基的
基金项目：上海市教育委员会科研创新项目（15ZZ103)；上海开放大学2013年理科重点课题(JF1301)
作者简介：曹明（1974-），男，副教授，博士，主要从事桩基础、地基处理研究，（E-mail）mingcaoxh@hotmail.com。 Received:2016-0826
Foundation item: Innovation Project of Shanghai Education Committee (No. 15ZZ103) ; Key Science Research of Shanghai
Open University (No. JF1301)
Author brief: Cao Ming (1974-), PhD. associate professor, main research interests: pile foundation and foundation
万方数据
treatment,(E-mail) mingcaoxhhotmail. com