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从薄板小挠度问题的控制方程出发，将结构的随机参数统一到刚度随机场中，采用局部平均法对刚度随机场进行离散，并将其融于二阶差分方法的列式中，给出了求解刚度随机时薄板上各点位移的数字特征的随机有限元法。该方法不但可以解决复杂边界下的薄板小挠度问题，而且进一步解决了结构的可靠度问题。文中最后对算例进行了计算，用解析解验证了本文方法的正确性。
Based on the governing equations of the small deflection problem of sheet metal, the random parameters of the structure are unified into the stiffness random field. The local average method is used to discretize the stiffness random field, which is fused into the formula of the second-order difference method. The Stochastic Finite Element Method for Solving the Digital Characteristics of Displacements at Various Points on a Thin Plate with Random Stiffness. This method can not only solve the problem of small deflection of thin plates under complicated boundary, but also solve the problem of structural reliability. Finally, the calculation of the example is carried out, and the correctness of the method in this paper is verified by analytical solution.