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本文采用双参数弹性地基模型，推导了弹性地基上厚板的有限元公式，并采用迭代法消去有限元公式中隐含的边界广义剪力，得到了自由边板不考虑板边广义剪力的解答。为了考虑板边广义剪力的影响，根据板外地基变形的边界元公式，推导了其等价有限元形式的刚度矩阵，叠加到整体刚度矩阵中进行计算，得到了自由边板考虑板边广义剪力作用的结果。
In this paper, the two-parameter elastic foundation model is used to derive the finite element formulae for slabs on elastic foundations. The iterative method is used to eliminate the generalized boundary shear forces implied in the finite element formulas. answer. In order to consider the influence of the generalized shear on the plate edge, according to the boundary element formula of the plate foundation deformation, the equivalent finite element form of the stiffness matrix is deduced and added to the overall stiffness matrix for calculation. The free edge plate is considered in consideration of the plate edge generalization. Shear effect results.