随机和模糊分布参数情况下可靠性度量指标及其求解方法研究  

RELIABILITY MEASURE AND ITS SOLUTION BASED ON RANDOM AND FUZZY DISTRIBUTION PARAMETERS

作　　者：崔利杰[1] 吕震宙[1] 张峰[1] 

机构地区：[1]西北工业大学航空学院,西安710072

出　　处：《机械强度》2011年第5期666-672,共7页Journal of Mechanical Strength

基　　金：国家自然科学基金(10572117;50875213);新世纪优秀人才支持计划(NCET-05-0868);航空基础基金(2007ZA53012);国家863计划(2007AA04Z401)资助~~

摘　　要：针对工程实际中由于信息量不足而难以准确确定基本随机变量分布参数的问题,采用区间变量描述分布参数,提出并解析区间分布参数情况下可靠性的新度量指标,给出新度量指标间接和直接的多种求解方法。进一步地,在所建区间分布参数可靠性度量指标的基础上,对分布参数为模糊数时的可靠性指标进行定义和解析,最后以实际算例验证求解方法的正确性及所提指标的合理性。The distribution parameters of random variables are often treated as random interval variable due to insufficient information in engineering.Based on the interval distribution parameters,a new reliability measure is proposed and analyzed.Some direct and indirect methods are given to solve the new reliability measure.Furthermore,a new reliability index is defined and analyzed for fuzzy distribution parameters.At last,some practicable examples are taken to testify rationality of the new reliability measures and the accuracy of the given solutions.

关 键 词：分布参数 区间变量 最大熵法 模糊集 失效概率函数 

分 类 号：TB114.3[理学—概率论与数理统计] O213.2[理学—数学]