以圆板大挠度方程和伽辽金法为基础 ,推出边界不能径向移动的简支橡胶圆板挠曲与受载关系的二次近似分析解。此外 ,将橡胶板视为薄膜 ,根据薄膜的无矩特性 ,采用数学方法求得橡胶板的膨胀状态几何特性描述 ,进而通过应力应变求得挠曲与载荷的关系。并对通过两种方法所得到的结果进行比较分析 Based on the large deflection equation and the Galerkin method, a quadratic approximate analytical solution is proposed for the relationship between the deflection and loading of a simply supported rubber disc whose boundary can not move radially. In addition, the rubber plate is regarded as the thin film. According to the momentless property of the film, the geometrical description of the expanded state of the rubber plate is obtained by mathematical method, and the relationship between the deflection and the load is obtained through the stress-strain. The results obtained by the two methods are compared and analyzed