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本文用矩阵分析法,研究了侧向荷载作用下置于弹性半空间或分层直线变形地基中的桩与土体相互作用的计算。当地基为弹性半无限空间时,将桩与周围土体划分成一系列离散单元,考虑其间的变形关系,由桩土相互间的变形连续条件进行分析计算。当地基具有不同的分层时,将土体按地基分层采取相应的地基系数,考虑桩与土体之间变形协调,建立基本微分方程,从基本方程的解入手,根据桩内各单元之间的变形与内力的连续条件,用转移矩阵导出桩身各单元的位移、内力与弹性抗力。 所述分析计算,在单元较多的情况下均应用电子计算机配合进行,能较快地求得结果。选择恰当的计算参数,可使计算结果与实际情况有较好的一致性。
In this paper, matrix analysis method is used to study the interaction between the pile and the soil in the elastic half-space or stratified linear deformation foundation under lateral load. When the local base is an elastic semi-infinite space, the pile and the surrounding soil are divided into a series of discrete units. Considering the deformation relationship between them, the piles and soils are analyzed and calculated according to their continuous deformation conditions. When the local base has different stratification, the soil is stratified according to the ground to take the corresponding foundation coefficient, consider the deformation coordination between the pile and the soil, establish the basic differential equation, start from the solution of the basic equations, according to the units in the pile Between the deformation and the continuous conditions of internal forces, the displacement matrix is used to derive the displacement, internal forces, and elastic resistance of each element of the pile body. The analysis and calculations are carried out by using an electronic computer in conjunction with a large number of units, and the results can be obtained quickly. Selecting the appropriate calculation parameters can make the calculation results have a good consistency with the actual situation.