摘要
从横观各向同性地基Biot固结轴对称问题基本方程的Laplace变换式出发,构造地基固结问题基本量关于竖向及径向坐标偏微分之间的矩阵关系式,再通过对该关系式进行关于径向坐标的Hankel变换,得到矩阵微分方程,进而可以得到团结问题基本量之间的传递矩阵。利用传递矩阵、边界条件及逆变换技术可实现多层地基的计算。编制了计算程序,并给出一算例。
Based upon the Laplace transform expressions of basic equations of axisymmetric Biot consolidation, the matrix relationship expression between vertical and radial coordinates partial differentiation of cross - anisotropic soil is established. By making use of the Hankel transform about radial coordinate of matrix relationship expression, the routine matrix differential equations can be obtained, and the solution for transfer matrix is therefore realized. Multi-layered soil can be calculated by transfer matrix. Program is compiled and a numerical example is given.
出处
《土木工程学报》
EI
CSCD
北大核心
1999年第1期14-20,共7页
China Civil Engineering Journal
关键词
横观各向同性
固结
地基
轴对称荷载
传递矩阵
cross-anisotropic
Biot consolidation
Laplare transform
Hankel transform: transfer matrix