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抗滑桩全桩内力计算"m-k"法的有限差分法
引用本文:戴自航,彭振斌.抗滑桩全桩内力计算"m-k"法的有限差分法[J].岩土力学,2002,23(3):321-324,328.
作者姓名:戴自航  彭振斌
作者单位:1. 湖南大学土木工程学院,湖南长沙410082
2. 中南大学资源环境与建筑工程学院,湖南,长沙,410083
基金项目:国家教育部博士点基金资助项目(9453305)
摘    要:传统的弹性地基系数“m-k”法在计算抗滑桩内力时,需分受荷段和锚固段分别查表计算,不但计算过程繁琐,容易出错,而且受查用表格中各系数截断误差的影响,常使计算结果出现某些误差,以致出现与边界条件不相一致的现象。针对这些问题,基于“m-k”法的原理,提出了便于编程的有限差分法,可对弹性抗滑桩全桩内力进行统一分析。编写了计算和图形处理程序,并用一算例与传统方法进行了验证 对比。结果表明,只要等量差分段取得足够小,就可获得符合边界条件的高精度数值解。实例表明,可根据内力计算图形处理结果,优化钢筋笼的钢筋,使抗滑桩的结构设计安全而经济。

关 键 词:地基系“m-k”法  抗滑桩  有限差分法  内力  钢筋笼
文章编号:1000-7598-(2002)03-0321-05

Finite difference method based on "m-k" method for calculation of internal forces of a whole stabilizing pile
DAI Zi-hang ,Pen Zhen-bing.Finite difference method based on "m-k" method for calculation of internal forces of a whole stabilizing pile[J].Rock and Soil Mechanics,2002,23(3):321-324,328.
Authors:DAI Zi-hang  Pen Zhen-bing
Institution:DAI Zi-hang 1,Pen Zhen-bing 2
Abstract:Usually,a stabilizing pile is divided into two segments:the loaded segment and anchored segment in calculating its internal forces by using the calculation tables according to the traditional elastic foundation coefficient "m-k"method.Not only the calculation procedure is complicated but also mistakes take place easily.Meanwhile,some calculation errors may occur because of the influence of errors of the coefficients in the tables so the disagreement with boundary conditions is resulted in.Aiming at these problems,based on the principle of "m-k"method,the finite difference method was presented to analyze the internal forces of a whole pile.The calculation and figure treatments were programmed.The verification and comparison with the traditional method were performed by an example.It shows high precise numerical solution that agrees with the boundary conditions can be obtained as long as the equal difference segment is small enough.Besides,an engineering example shows the design of the reinforcing steel bar cages can be optimized according to the results of figure treatment of the internal forces and make the construction design of the stabilizing piles to be safe and economical.
Keywords:foundation coefficient "m-k"method  stabilizing pile  finite difference method  internal force  reinforcing steel bar cage  
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