横观各向同性层状地基上轴对称受荷刚性圆板问题

采用轴对称横观各向同性层状地基的解析层元解来求解刚性圆板与地基的共同作用问题,结合刚性圆板与地基表面的位移协调条件,建立横观各向同性层状地基上受荷刚性圆板问题的积分方程;运用数值方法求解该积分方程,得到在给定位移下刚性圆板与地基间的接触应力。编制相应的计算程序进行数值计算,分析了地基横观各向同性参数、地基厚度和地基成层性对地基反力的影响。

An axisymmetrically loaded rigid circular disc on transversely isotropic layered soils

The analytical layer element solution for axisymetrically transversely isotropic multilayered soils is adopted to solve the interaction between the rigid circular plate and the foundation. Then based on the displacement continuity conditions between the soil surface and the rigid circular disc, the integral equation of an axisymmetrically loaded rigid circular disc on transversely isotropic multilayered soils is developed. The integral equation is solved numerically, and the contact stresses between the rigid circular disc and the subsoil are obtained when the rigid circular disc is given a value of displacement. This solution is implemented into a computer code for numerical analysis, and the influences of parameters of transversely isotropic foundation, thickness and stratification of the soils on the contact stresses are analyzed.