按Voronoi算法分析不均匀土层上的桩筏基础

现有桩筏基础分析方法仅能利用地基分层考虑土层的竖向不均匀性，对土层水平向不均匀性的分析却是无能为力。为了改进现有方法，首先计算地基多个勘察孔在水平面上的Voronoi图，利用Voronoi图最近影响范围特性，通过把多边形范围内土层按最近勘察孔的土层资料替代的方法，近似分析水平向不均匀土层上的桩筏基础。分析时按Bowyer-Watson算法计算Delaunay三角形，然后用间接法得到Voronoi图，借助C++计算机语言编制程序分析桩筏基础。通过一个桩筏基础计算模型，对比分析采用多个勘察孔和一个勘察孔土层资料桩筏基础的分析结果，发现土层水平向差异较大时，基础沉降、桩顶反力分布，筏板弯矩等结果差别较大。故对土层不均匀性较明显地基上的桩筏基础设计，宜采用Voronoi图算法应用全部勘察孔资料进行分析。

Analysis of pile-raft foundation located in inhomogeneous soil based on Voronoi diagram algorithm

For the traditional pile-raft analysis method, the vertical inhomogeneous soil is calculated through layering the soil; but soil’s inhomogeneity in horizon can’t be considered. An improvement analysis method is presented. After calculating multi survey pores’ Voronoi diagram in horizontal plane, the survey pore’s soil data have been applied to the nearest soil element based on the Voronoi diagram characteristic of the nearest influence domain; and the pile-raft foundation in the horizontal inhomogeneous soil is analyzed. Applying the Bowyer-Watson algorithm to the Delaunay triangle and indirect method Voronoi diagram, the pile-raft analysis program is developed by the C++ program language. Through a pile-raft foundation calculation model, it is contrasted and generalized, that is between the single-pore survey data and multi-pore survey data’s calculating result. It is much difference to the two analysis result, which are foundation settlement, pile force distribution, raft moment and so on. So the Voronoi diagram method for analyzing pile-raft foundation should be taken into calculation for the greatly inhomogeneous soil, applying the entire survey pore’s soil data.