基于变分原理的群桩位移计算方法
Vertical deformation analysis of pile group based on variational theory
-
摘要: 提出一个包含两个待定参数的群桩中单桩的位移函数关系式,由此利用变分原理和最小势能原理推导了群桩的分析过程,最终得出群桩刚度矩阵的表达式,进而可以求得群桩基础中任意单桩任意深度处的位移。通过各种分析方法对均匀土体和非均匀土体中群桩位移分析结果的比较说明该方法精度满足要求,但应用本文方法进行分析时不用划分桩土体单元,且计算量较小,能准确模拟土体模量随深度线性变化的情形。Abstract: Function with two undetermined coefficients was applied to characterize single pile displacement.Based on variational theory and minimum potential energy principle,analysis of pile group was deduced with the above function in order to get stiffness matrix of pile group.Displacement along pile length in pile group could be determined with the above stiffness matrix.Conclusion should be drawn after the comparison with other analysis methods that this method was as accurate as the other method,but less calculation was needed.The method have other advantage such as discretization of either soil or piles was not needed and solution procedure was rigorous for soil with stiffness increasing linearly with depth.