水工建筑物可靠性分析中的最大熵法

The principle of maximum entropy in analysis of hydraulic construction reliability

运用信息熵的概念和最大熵原理建立了随机变量的熵概率密度函数和结构失效概率模型,并对该数 学模型的求解过程进行了理论推导,采用了Matlab语言编制了相应的计算程序．通过算例对所建模型的合 理性和可行性进行了验证,并与JC法进行了研究比较,结果表明:最大熵法研究水工建筑物随机变量的分 布规律和结构失效概率不仅可行且具有较高精度．

The paper apply the communication entropy and maximum entropy to set up the random varisbles model of entropy probability density and disable probability of construction, moreover, the mathematic model was ratiocinated in theory, calculating it by the program of Matlab made by ourself. The rationality and feasibility of models is verified by the example, Comparing with conventional analysis method, it illuminated that using the maximum entropy to research the distributing rule of random varisbles and disabled probability of construction at Hydraulic construction is feasible and upper precision.