【作者】 邹春霞；

【导师】 申向东；

【作者基本信息】 内蒙古农业大学 ， 农业水土工程， 2004， 硕士

【摘要】 结构可靠性理论在水工建筑物设计规范中的应用，使水工结构设计理论进入了一个新的阶段。而在工程设计中存在着以下问题：1.各种荷载和抗力的基础资料和数据缺乏；2.对于已知随机变量的实测数据的分析方法模糊、单一；3.水工结构可靠度计算方法中没有考虑随机变量的实际模型。本论文在对随机变量统计的基础上，综合常用随机变量概型的研究方法和结构可靠度计算方法的优缺点，运用信息熵的概念和最大熵原理，建立了随机变量的概率密度函数和结构失效概率模型，并且对该数学模型的求解过程进行了理论推导，采用Matlab6.5语言编制了相应的计算程序。通过对巴盟永济第二节制闸上游水位概率密度函数的逐年分析及其闸室的抗滑稳定计算，对所建模型的合理性和可行性进行了验证。本文利用信息熵的概念和最大熵原理分析了随机变量的概型及水工建筑物的失效概率，使随机变量概率密度函数的概念明确化。为水工结构可靠性设计提供了最基础的数据资料，为进一步评定水闸的安定性及使用寿命做了一些基础性的研究工作。更多还原

【Abstract】 The design theory of hydraulic construction mad a new steps due to the application of constructive reliability theory to it. However, there are some issue existed in the design of construction. Firstly, the basic data about load and resistance is lack. Secondly, the analysis methods of random variables are faint. Thirdly, the neglects of real model make the reliability calculation inaccurate. Based on the traditional methods of random variables probability density function and reliability calculation, the paper set up two models that based on the principle of maximum entropy. One is the model of random variables probability density; the other is the model of disabled probability of construction. It gets the roots by analyzing the model in theory and calculating it by Matlab. The conclusion is verified by the example of the NO.2 brake of yongji. The point in the paper about random variables probability density function based on entropy made its’ definitions clear. It provides the elementary data for analysis of design theory of hydraulic construction. It does the elementary analysis for estimating the safety and the longevity of brake.更多还原