横观各向同性层状地基上弹性矩形板的参数研究

Parametric study on an elastic rectangle plate on transversely isotropic multi-layered soils

根据横观各向同性单层地基的解析层元,结合土体之间的层间连续性条件,得到了横观各向同性层状土体在任意均布荷载下的位移解答。结合弹性矩形板与层状地基表面的位移协调条件和光滑接触条件,推导出横观各向同性地基与弹性矩形板共同作用的解析解。随后编制了相应的Fortran程序进行数值计算,分析了板土刚度比、土体横观各向同性和土体层状特性,模型中各个参数对计算结果的影响。结果表明:板土刚度比?、横观各向同性参数m和层状性质参数?对计算结果影响更大,横观各向同性参数n和层状性质参数β影响则相对较小。

According to the analytical element of a single layer and the continuity conditions between each layer, the vertical displacements of transversely isotropic multi-layered soils under arbitrary vertical uniform loadsare obtained. Based on the displacement coordination and smooth contact, the analytical solutionsto the interaction problem between the flexible rectangular footing and transversely isotropic multi-layered soils are derived. A Fortran module is developed to analyze the effects of the rigidity of the rectangular footing, transversely isotropic and stratified characters. The results show that the rigidity ratioofplate to soilγ, transversely isotropic parameterm and stratified parameterαexert a great influence on the vertical displacements of soils, while the influence of parametersnand βis limited.