摘要
基于Biot动力固结方程,研究了三维轴对称条件下饱和土中端承桩竖向耦合振动问题。首先对固结方程进行变形,通过算子分解法和分离变量法得到土体体积应变和空隙水压力的解,进而求得饱和土层竖向振动的解析表达式,然后联系桩土耦合条件,得到桩土系统的定解。通过与李强解对比,发现两解基本一致。对桩顶阻抗进行参数分析,得到一些有益的结论。
Based on Biot＇s consolidation equation, the axisymmetric vertical vibration of an end bearing pile embedded in saturated soil is theoretically investigated. By virtue of the differential operator splitting and variable separation method with the consolidation equation, the solutions of volumetric strain and pore water pressure are obtained. Then an analytical solution for vertical vibration of the pile in saturated soil is given. Under the assumption of perfect contact between the pile and soil, the finite solution of the pile-soil system is derived in a closed form. It is shown that the solution is in good agreement with Li Qiang＇s solution. And by parametric study of the impendence function of the pile head, some useful conclusions are obtained.
出处
《工程力学》
EI
CSCD
北大核心
2008年第10期187-193,共7页
Engineering Mechanics
基金
国家自然科学基金(50578062)
湖南省科技计划重点项目(06sk4057)
关键词
饱和土
桩土相互作用
耦合
竖向振动
阻抗
saturated soil
pile-soil interaction
coupling
vertical vibration
impendence
