Matrix transfer solutions to deformation and internal forces 
of piles under combined vertical and lateral loads

ZHU Ming-xing; GONG Wei-ming; HE Xiao-yuan; XU Guo-ping

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Matrix transfer solutions to deformation and internal forces of piles under combined vertical and lateral loads

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- Matrix transfer solutions to deformation and internal forces of piles under combined vertical and lateral loads
- Vol. 35, Issue 11, (2014)
- 作者机构：
  
  1. 东南大学土木工程学院,南京,210096
  2. 东南大学混凝土及预应力混凝土结构教育部重点实验室,南京,210096
  3. 中交公路规划设计院有限公司,北京,100010
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU473
- Online First：10 December 2014，
  
  Published：2014
- 稿件说明：
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ZHU Ming-xing, GONG Wei-ming, HE Xiao-yuan, et al. Matrix transfer solutions to deformation and internal forces of piles under combined vertical and lateral loads[J]. 2014, 35(11).
DOI：

ZHU Ming-xing, GONG Wei-ming, HE Xiao-yuan, et al. Matrix transfer solutions to deformation and internal forces of piles under combined vertical and lateral loads[J]. 2014, 35(11). DOI：

摘要

针对地基的土体屈服性状，将桩侧土体分为弹性变形区域与塑性变形区域两种情况。假定地基反力系数为3参数的一般形式，同时考虑桩身效应并计入桩身自重、桩侧摩阻力的影响，根据地基反力法分别建立桩身弹性段和塑性段挠曲线微分方程。在解微分方程的过程中，采用矩阵传递法结合Laplace正逆变换的方法解得桩顶作用轴向力、水平力、弯矩时桩身内力和变形的矩阵传递解，并用Fortran语言编制了相应计算程序。最后将试验数据对上述方法进行验证，结果表明计算值与模型试验的实测值吻合很好，采用文中3参数地基反力法反算所得的地基参数离散性很小，研究结果具有较高的应用价值。

Abstract

Considering the yield characters of foundation soil

the soil surrounding pile shaft is divided into elastic and plastic deformation zones. Based on the beam-on-foundation method the deflection curves differential equations of elastic and plastic zones of pile shaft are established respectively assuming that the coefficient of subgrade reaction is the three-parametric general form and the effect and effects such as gravity of pile

skin friction of pile are all taken into account. During the process of solving the differential equations

matrix transfer method with Laplace forward transformation and Laplace inverse transformation has been used to solve the deformation and internal force for axially and laterally loaded piles. And then

the computational procedure is compiled using the Fortran language. Finally

this approach is verified by the data from experiment. The results indicate that the computed data and test data are in good agreement; and then

the discreteness of inversion parameters of three-parametric subgrade reaction is very small

meaning that the presented approach is applicable in engineering practice.

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