›› 2014, Vol. 35 ›› Issue (11): 3281-3288.

• 数值分析 • 上一篇    下一篇

纵横向受荷基桩变形内力的矩阵传递解

竺明星1,龚维明1, 2,何小元1,徐国平3   

  1. 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
  • 收稿日期:2013-07-11 出版日期:2014-11-11 发布日期:2014-12-10
  • 作者简介:竺明星,男,1985年生,博士研究生,主要从事桩基理论、软土理论及岩土工程数值分析研究。
  • 基金资助:
    国家科技支撑计划项目(No. 2011BAG07B01);国家重点基础研究发展计划(No. 2013CB036304)。

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

ZHU Ming-xing1, GONG Wei-ming1, 2, HE Xiao-yuan1, XU Guo-ping3   

  1. 1. School of Civil Engineering, Southeast University, Nanjing 210096, China; 2. Key Laboratory of C and PC Structures of Education Ministry, Southeast University, Nanjing 210096, China; 3. CCCC Highway Consultants Co., Ltd., Beijing 100010, China
  • Received:2013-07-11 Online:2014-11-11 Published:2014-12-10

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。

关键词: 土体屈服, 地基反力系数, 纵横受荷桩, 矩阵传递法

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.

Key words: yield of soil, coefficient of subgrade reaction, axially and laterally loaded piles, matrix transfer method

中图分类号: 

  • TU 473
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