中文摘要：

无网格局部径向点插值方法（LRPIM）的形状函数具有Kronecker delta函数的特性，便于施加位移边界条件，不需要进行特殊地处理。采用局部加权残值法推导了双参数弹性地基中厚板的离散系统方程，利用无网格LRPIM对四边简支和四边固支以及筏式双参数弹性地基中厚板的弯曲问题进行了分析和计算。算例表明，用无网格LRPIM分析弹性地基中厚板问题具有非常灵活和易于实现等优点。

英文摘要：

The shape function of the meshless local radial point interpolation method （LRPIM） has the Kronecker delta function properties, and no additional treatment to impose essential boundary conditions. The discretized system equation for moderately thick plates on biparametric elastic foundation is derived using a locally weighted residual method. Bending problems for the raft and moderately thick plates on biparametric elastic foundation with simply supported and clamped boundary conditions are analyzed by the meshless LRPIM. Case studies show that the LRPIM is easy to implement, and very versatile for the bending of the moderately thick plates on biparametric elastic foundation.