轴对称受荷弹性圆板下横观各向同性多层地基分析  

Analysis of transversely isotropic layered soils beneath axisymmetrically loaded elastic circular plate

作　　者：艾智勇[1] 成怡冲[2] 

机构地区：[1]同济大学地下建筑与工程系,上海200092 [2]同济大学教育部岩土及地下工程重点实验室,上海200092

出　　处：《建筑结构学报》2012年第4期154-157,共4页Journal of Building Structures

基　　金：国家自然科学基金项目(50578121)

摘　　要：将地基视为多层横观各向同性体,基于弹性圆板与地基的竖向位移协调条件与光滑接触条件,结合多层横观各向同性地基应力与位移的传递矩阵解,推导出多层横观各向同性地基上轴对称受荷弹性圆板问题的解析解。编制了相应的计算程序,并对数值计算结果进行了对比分析。结果表明:圆板刚度的增大有助于减小板底位移和沿深度竖向应力;地基横观各向同性性质对板底位移及板中心下沿深度竖向应力影响显著。Based on the continuity of vertical displacements and the smooth contact conditions between the layered soils and the elastic circular plate,and combining with the transfer matrix solutions for displacements and stresses of transversely isotropic layered soils,the analytical solution of the elastic circular plate on transversely isotropic layered soils can be obtained.Numerical calculation and analysis were carried out by a computer program.The numerical results show that the increase of the rigidity of the elastic circular plate can contribute to the decrease of the displacements beneath the plate and normal stresses along depth;the transversely isotropy of the soil has remarkable influence on the deflection of the circular plate and the normal stresses under the center of the circular plate.

关 键 词：多层地基 横观各向同性 弹性圆板 解析解 

分 类 号：TU433[建筑科学—岩土工程]