圆面积上作用垂直荷载下横观各向同性地基的统一解

摘要

A general three-dimensional analysis of transversely isotropic axial symmetrical foundation in the image domain is made by the displacement function method and the Love's displacement function is modified. The rationale of displacement function method, Hankel integration transform, Hankel integration contrary transform and Bessel function theory are employed in the solution. The uniform solution to displacement and stress of transversely isotropic foundation under rigid load in circular area is obtained when the characteristic root is equal.%从横观各向同性弹性体轴对称问题的基本方程出发，对各向同性下的Love位移函数进行了重新修正，采用位移解法的基本原理，利用Hankel积分变换和其反演变换以及Bessel函数理论，得到了当材料特征值s1=s2=s时，圆面积上作用垂直荷载下的横观各向同性地基问题的统一解，为求解圆面积上作用任意垂直轴对称荷载下的横观各向同性地基问题的解析解提供理论依据。