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本文应用最大熵密度函数作为结构功能函数Ｚ的近似密度函数来计算结构的失效概率。最大熵密度函数以Ｚ的期望和高阶中心矩为约束条件加以拟合。文中着重研究了应用最优化方法和数值求积法确定最大熵密度函数的拉格朗日系数的方法，并给出了一个算例。算例表明，最大熵密度函数法的结果与其它三种方法非常接近。本文方法特别适用于基本随机变量为非正态分布的情况。
In this paper, the maximum entropy density function is used as the approximate density function of the structural function function Z to calculate the failure probability of the structure. The maximum entropy density function is fitted with the expectation of Z and the higher center moment as constraints. This paper focuses on the method of determining the Lagrangian coefficient of the maximum entropy density function by applying the optimization method and numerical quadrature method, and gives an example. Examples show that the results of the maximum entropy density function method are very similar to the other three methods. This method is particularly applicable to cases where the basic random variable is not normally distributed.