多层地基上轴对称受荷弹性圆板问题  

Axisymmetric Loaded Elastic Circular Plate on Multi-Layered Soil

作　　者：艾智勇[1] 梅阿敏[1] 董洲[1] 

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

出　　处：《土木建筑与环境工程》2009年第1期33-37,共5页Journal of Civil,Architectural & Environment Engineering

基　　金：国家自然科学基金资助项目(50578121)

摘　　要：利用弹性圆板与多层地基表面的竖向位移协调条件与光滑接触条件,再由多层地基应力与位移的传递矩阵解,推导出多层地基上轴对称受荷弹性圆板问题的解析解。在此基础上,编制了相应的程序,并进行了数值计算。计算结果表明,园板刚度对弹性圆板的位移以及圆板中心下的竖向应力有着较大的影响。An analytical solution of the elastic circular plate on multi-layered soil can be obtained by using the transfer matrix solutions for displacements and stresses of multi-layered soil. This solution is based on the continuity of vertical displacements and the smooth contact conditions between a multi-layered soil surface and the elastic circular plate. Numerical calculation and analysis are carried out by the computer program compiled for this purpose. The numerical results show that the rigidity of the elastic circular plate greatly influences the displacement of the circular plate and the normal stresses under the center of the circular plate.

关 键 词：多层地基 弹性圆板 传递矩阵法 HANKEL变换 Hankel逆变换 

分 类 号：TU443[建筑科学—岩土工程]