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以弹性地基上Ｒｅｉｓｎｅｒ板为研究对象，地基采用双参数模型，把地基效应归并到厚板的弯曲微分方程中。利用［４］导出的双参数地基上厚板弯曲问题的基本解，从虚功原理出发，依据胡海昌的中厚板弯曲理论，推导出三个广义位移表示的边界积分方程。适用于任意边界条件、任意形状及任意荷载的薄板及中厚板的弯曲问题。文中给出了算例，并对各种参数变化进行了分析，获得了满意的结果。
Taking the Reisner plate on the elastic foundation as the research object, the foundation adopts the two-parameter model, and the foundation effect is integrated into the bending differential equation of the slab. Based on the principle of virtual work and using the theory of medium and thick plate bending of Hu Haichang, the boundary integral equations represented by three generalized displacements are deduced by using the basic solution of the plate bending problem on the double-parameter foundation derived by [4]. It is applicable to the bending problem of thin plates and medium thick plates with arbitrary boundary conditions, arbitrary shapes, and arbitrary loads. Examples are given in this paper, and various parameter changes are analyzed to obtain satisfactory results.