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层状地基中单桩性状的积分方程解法及其参数
引用本文:梁发云,李镜培,陈龙珠.层状地基中单桩性状的积分方程解法及其参数[J].同济大学学报(自然科学版),2006,34(9):1159-1165.
作者姓名:梁发云  李镜培  陈龙珠
作者单位:1. 同济大学,地下建筑与工程系,上海,200092
2. 上海交通大学,土木工程系,上海,200030
基金项目:国家自然科学基金;上海市"曙光计划"
摘    要:采用积分变换和传递矩阵方法得到弹性层状地基轴对称问题的基本解,按照虚拟桩法建立分析模型,推导出层状地基中单桩求解的第二类Fredholm积分方程,对其进行数值计算.编写了层状地基中单桩分析的计算程序,可求得桩身各点处的轴力、剪力和位移等主要性状.与经典弹性解答相比,本方法在理论上较严密,适用范围和求解结果也更为丰富.为考察地基土成层性对单桩性状的影响,还对几种典型层状地基中的单桩进行了参数分析.

关 键 词:单桩  层状地基  积分方程  传递矩阵  参数分析
文章编号:0253-374X(2006)09-1159-07
收稿时间:12 22 2004 12:00AM
修稿时间:2004-12-22

An Integral Equation Approach and Parametric Analysis for Single Pile in Layered Soil
LIANG Fayun,LI Jingpei,CHEN Longzhu.An Integral Equation Approach and Parametric Analysis for Single Pile in Layered Soil[J].Journal of Tongji University(Natural Science),2006,34(9):1159-1165.
Authors:LIANG Fayun  LI Jingpei  CHEN Longzhu
Institution:1. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China; 2. Department of Civil Engineering, Shanghai Jiaotong University, Shanghai 200030, China
Abstract:With the intergral transformation and transfer matrix method, basic solution of layered soil under symmetric load was deduced. The analysis model was set up with fictitious pile method, then the Fredholm integral equations of the second kind for single pile was obtained on the basis of the solution of layered soil under circle load. Numerical method was used to solve the equations and the calculating program was written. The axial forces, shear forces and displacements along pile were obtained. Compared with classical elastic solutions, the present theory is more rigorous and applicable providing more solutions. To investigate the influence of stratified characters of soil, numerical examples of single pile in representative soil strata were studied.
Keywords:single pile  layered soil  integral equation  transfer matrix  parametric analysis
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