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用半解析半数值方法计算层状弹性地基上高承台桩基础沉降的难点在于求解地基基本解。将基础和地基分成上下两个子结构:承台为上部子结构,下部子结构包括桩和地基。用轴对称有限元法,按照桩帽模型和圆筒模型考虑群桩的影响,可以非常方便地求出层状土中群桩顶作用荷载和桩的沉降之间的关系。以此作为下部子结构的基本解,推导出上下子结构相互作用的公式,从而对下部子结构不用划分单元,仅需对承台划分单元即可得到基础的沉降。这种分析方法,无需繁琐的公式推导,极大地减少了工作量,计算效率高,适用大型桩基础和超长桩研究。
The difficulty of calculating the settlement of high capped pile foundation on layered elastic foundation by means of semi-analytical and semi-numerical method is to solve the basic solution of foundation. The foundation and the foundation are divided into two substructures: upper cap sub-structure and lower substructure including pile and foundation. With the axisymmetric finite element method, considering the effect of pile groups according to the pile cap model and the cylinder model, the relationship between the pile group top loading and pile settlement in layered soil can be obtained very conveniently. Using this as the basic solution of the substructure, the formula of the interaction between the upper and lower substructures is deduced, so that the substructure of the substructure is not divided into units. This analysis method, without cumbersome formula derived, greatly reducing the workload, high computational efficiency, suitable for large pile foundations and super long pile.