横观各向同性弹性地基塞露蒂问题的解析解  

ANALYTICAL SOLUTION FOR CERRUTI'S PROBLEM OF TRANSVERSELY ISOTROPIC ELASTIC FOUNDATION

作　　者：李婕[1] 顿志林[1] 张学民[2] 高雪冰[1] 

机构地区：[1]河南理工大学土木工程学院,河南焦作454000 [2]中南大学土木建筑学院,湖南长沙410075

出　　处：《工程力学》2007年第z1期70-74,共5页Engineering Mechanics

基　　金：河南省自然科学基金资助项目(974040900)

摘　　要：根据横观各向同性弹性体半空间问题的基本方程,利用Hankel变换和Bessel函数理论,基于位移法导出的横观各向同性地基空间问题的一般解,得到了材料特征根不相等情况下横观各向同性地基塞露蒂(Cerruti)半空间问题的基本解。该解答经过退化与各向同性Cerruti问题的经典解相吻合。通过算例对两种不同地基内部位移和应力分布进行了对比分析。结果表明,对于给定的算例,两种地基内部沿深度方向的位移分布基本相同,但两种地基内部应力场的差异比较显著。Based on the three-dimensional analytical solution derived from the fundamental equations,the generalized solutions of Cerruti’s half space problem are obtained using the displacement function method under the conditions that the characteristic roots are not equal. Hankel integration transform method and Bessel function theory are used. The generalized solutions of Cerruti’s half space problem degenerate into the classical isotropic Cerruti’s half space problem by correlative coefficient transformation. Distribution of displacement and stress in the transversely isotropic foundation are compared with those in the isotropic foundation.Distributed trend of the displacement field along the depth direction is nearly identical for two different models with given parameters,but there is remarkable difference for the stress field in two kinds of foundation.

关 键 词：工程力学 横观各向同性地基 位移法 Hankel积分变换 半空间问题 

分 类 号：TU470[建筑科学—结构工程] TU311[建筑科学—土工工程]