双参数弹性地基上Mindlin板的等参元分析

Analysis of Mindlin plate on two-parameter elastic foundation using isoparametric elements

采用等参元对双参数地基上Mindlin板进行分析 ,将基底反力与节点位移用等效地基刚度矩阵联系起来 ,并叠加到整体刚度矩阵中去 ,从而避免了对地基划分有限元单元 ;在不考虑边界广义剪力和考虑广义剪力两种情况下分别进行了分析 .并将这一方法应用到双参数弹性地基板的动力分析中 .

Isoparametric elements have been applied to analyze the Mindlin plates on two parameter elastic foundation. When the effect of subgrade reactions is considered, the equivalent stiffness matrix of foundation is developed. By means of the method suggested herein, foundation soil needn′t be divided into finite elements. The finite elements formulae are derived in two different conditions. The boundary general shears is considered in one condition, while the boundary general shears is not considered in another one. This method is applied on the dynamical analysis of the Mindlin plate on two parameter elastic foundation. By comparing with results of other methods, it is shown that the proposed method is effective.