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采用无拉力Ｗｉｎｋｌｅｒ 地基模型对作用其上的自由薄梁、薄板的接触区问题进行分析， 发现其接触区具有对荷载幅值的不变性， 仅受梁板尺寸、梁板刚度和地基刚度系数的影响。数值算例借助常微分方程边值问题ＣＯＬ９０ 求解器， 根据推导出的控制方程和边界条件编程求解， 得出各因素对其接触区的影响规律和四点结论， 对工程中弹性地基梁板受力变形分析具有参考意义。
The tensionless Winkler foundation model was used to analyze the contact area between free thin beam and thin plate. The contact area was found to be invariable to the load amplitude and was only affected by the beam size, beam stiffness, and stiffness coefficient of the foundation. influences. The numerical example is based on the COL90 solver of the ordinary differential equation boundary value problem. Based on the derivation of the control equation and the boundary conditions, the law of the influence of each factor on its contact area and the four conclusions are obtained. For the elastic foundation beam of the project Force deformation analysis has reference significance.