土自重及地基刚度矩阵对板土相互作用的影响

将地基取为有限分层弹性体，采用三种不同方法计算地基刚度矩阵，根据工程背景下板嵌埋于土中这一特点，考虑土自重应刀对地基形变势能的影响，借助于能量变分原理获得了不同地基刚度矩阵时不同荷载作用下的两种不同抗弯刚度的矩形板内刀、板底反力和板底位移的数值解答。着重对比分析了地基刚度矩阵的不同算法及土自重应力对板内力及位移计算结果的影响，指出用单位集中力计算地基刚度矩阵，易受Ｂｏｓｓｉｎｅｓｑ解答在集中力作用；久附近“极性”的制约，计算结果不够理想，而以单位均布力为依据计算地基刚度矩阵，所得板内力及位移能很好地符合弹性解答基本规律。

Influence of Foundation Stiffness Matrix and Soil Dead Load on Plate-soil Interaction

The soil is regarded as a finite-layered elastomer,the stiffness matrix of which iscalculated using three different methods.Based on the fact that the plate is usually embededinto the soil in common engineering practice,the influence of dead load stress on the strainenergy of soil is consiclered.Numerical solutions of the internal force,the reaction below theplate aidthe displacement of the foundation are obtained for rectangular plates with two dif-ferent thickness subjected to different loads and located on different soil stiffness matrix bymeans of variational principle.The influence of the methods for deriving stiffness matrix anddead load stress of the soil on the calculation of internal force and displacement is emphatical-ly discussed.It is pointed out that,when the foundation stiffness matrix is calculated using u-nit concentrated load,the result is not so reasonable because of the infinity of Bossinesq solu-tion at the applied point.On the contrary,when the fotindation stiffness matrix is derivedfrom unit distributed load,the calculation results of the force and displacement are in a goodagreement with general pattern of elastic solution.