弹性圆板下横观各向同性弹性地基的轴对称问题  

Axial symmetric problems of transversely isotropic foundation under an elastic circular plate

作　　者：何芳社[1] 郭春霞[1] 郭雅云[1] 

机构地区：[1]西安建筑科技大学理学院,西安710055

出　　处：《应用力学学报》2012年第5期512-515,625,共4页Chinese Journal of Applied Mechanics

基　　金：国家自然基金资助项目(51178387)

摘　　要：将与板相关的各力学量展开为Fourier-Bessel级数,利用解析法对弹性圆板下横观各向同性弹性地基的轴对称问题进行了分析。这些级数中的待定系数由板的边界条件、板的控制方程、地基-板的相容条件加以确定。数值计算结果表明:横观各向同性地基的沉降比各向同性地基的沉降要小,而地基反力则变化不大,说明按各向同性地基进行分析偏于保守。该分析方法将原问题简化为求解代数方程组的问题,且该方法可以推广到板的一般弯曲及层状地基与板的相互作用问题。Using Fourier-Bessel series,the axial symmetric problems of transversely isotropic foundation under an elastic circular plate are analytically investigated.The unknown coefficients in the series are determined by the boundary conditions of plate,the governing equations of plate,and the continuous condition of plate-ground.The numerical calculations are accomplished and the results obtained indicate that the earth subsidence of transversely isotropic foundation is smaller than that of isotropic foundation and the reactive forces of foundation are in substantial agreement,so the solutions based on isotropic foundation are more conservative.The problems of interaction between plate and ground are simplified to the problems of solving algebraic equations.The methods proposed can be generalized to the general bending of plate and the interaction analysis of the layer ground and plate.

关 键 词：横观各向同性地基 圆板 Fourier-Bessel级数 轴对称 

分 类 号：TU435[建筑科学—岩土工程] TU471.2[建筑科学—土工工程]