中文摘要：

利用无网格径向点插值方法对四边固支和四边简支中厚方板以及悬臂中厚梯形板的挠度和应力进行了分析和计算．编制了该方法的计算机程序，研究了计算结果的精度和收敛性．由于该方法是采用径向基函数耦合多项式基函数来构造形函数，其插值函数具有KroneckerDelta函数性质，可以和有限元法一样很方便地施加本质边界条件．而且该方法是基于节点信息而不是基于单元或网格信息，所以用该方法求解薄板问题时也可以避免剪切自锁现象．算例结果表明，用无网格径向点插值法分析中厚板的挠度和应力问题所得计算结果与已有文献解以及有限元解都十分地吻合，并且具有效率高、精度高、收敛性好和易于实现等优点．

英文摘要：

Bending problems for moderately thick plates with simply supported, clamped and cantilever boundary conditions, were analyzed by the meshless radial point interpolation method. The computer programs of the presented method were developed, and the accuracy and rate of convergence were investigated. The pre- sented method uses a radial basis function coupled with a polynomial basis function as a trail function. The shape functions obtained in the trail function have the Kronecker Delta function property, and the essential boundary conditions can be easily imposed as the finite element method. The discretization is independent of geometric subdivision into elements or cells, and is only based on a set of nodes over the domain in question, so the shear locking can be avoided when the present method is used to solve the problem of a thin plate. Examples show that the results obtained by the presented method agree well with the exiting solutions in the literatures and with the results obtained by the finite element method, and the presented method has a number of advantages, such as high efficiency, good accuracy, high rate of convergence and easy to implement.