层状地基中单桩性状的积分方程解法及其参数研究
注意：本论文已在《同济大学学报》, 2006, 34(9): 1159-1165发表
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梁发云1 ,李镜培1 ,陈龙珠2
(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)
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
中图分类号: TU 472 文献标识码: A
文章编号: 0253 - 374X(2006) 09 - 1159 - 07
An Integral Equation Approach and Parametric Analysis for Single Pile in Layered Soil
L IA N G Fayun1 , L I Jingpei1 , CHEN L ongz hu2
(1. Department of Geotechnical Engineering , Tongji University , Shanghai 200092 , China ;
2. Department of Civil Engineering , Shanghai Jiaotong University , Shanghai 200030 , China)
Abstract:ith the intergral t ransformation and t ransfer mat rix method , basic solution of layered soil
under symmet ric 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 displacement s 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 st ratified characters of soil , numerical examples of single pile in representative soil st rata were studied.
Key words :single pile ; layered soil ; integral equation ; t ransfer mat rix ; paramet ric analysis
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