最大熵法可靠度理论在工程应用中的改进  

Melioration of Maximum Entropy Reliability Theory in Engineering Application

作　　者：高渊[1,2] 叶继红[1,2] 

机构地区：[1]中国电力科学研究院,北京100055 [2]东南大学混凝土及预应力混凝土教育部重点实验室,南京210096

出　　处：《特种结构》2011年第1期1-5,18,共6页Special Structures

基　　金：国家自然科学基金重大研究计划培育项目(90715005);教育部新世纪优秀人才支持计划(NCET-07-0186)

摘　　要：地震作用下,工程结构响应的随机性无法用确定性方法反映,将最大熵法引入可靠度理论,能在少量的已知条件下求得事件的最小有偏概率分布函数。本文基于最大熵法可靠度理论,提出了既能解决收敛问题,又能保证函数精度的控制方法。分析了样本数量对概率密度函数、超越概率、可靠指标精度的影响,给出了保证工程应用精度的建议样本个数。Under the action of earthquake,the definiteness method can＇t reflect the variability of structural response. Introducing the maximum entropy into reliability theory,the probability distribution junction is obtained with the minimum deviation under a small amount of known conditions.Then,based on the maximum entropy reliability theory,a control method which can guarantee the convergence and precision was put forward in this paper.To a deep extent,the influences of the sample number on probability density function,exceeding probability,reliable index are analyzed.In addition,the suggestion of sample number is proposed to ensure the accuracy of engineering application.

关 键 词：最大熵法 精度控制 样本个数 

分 类 号：TU311.3[建筑科学—结构工程]