考虑状态模糊性时广义失效概率计算的线抽样方法  

LINE SAMPLING METHOD FOR GENERAL FAILURE PROBABILITY WITH FUZZY FAILURE AND SAFETY STATE

作　　者：陈磊[1] 吕震宙[1] 

机构地区：[1]西北工业大学航空学院,西安710072

出　　处：《机械工程学报》2007年第2期39-43,共5页Journal of Mechanical Engineering

基　　金：国家自然科学基金(10572117);新世纪优秀人才支持计划(NCET-05-0868)资助项目

摘　　要：针对状态具有模糊性的广义可靠性分析问题,提出一种广义失效概率计算的线抽样方法。所提方法首先将广义失效概率的积分区域依据功能函数的取值离散化,在离散化的积分区域中极限状态函数对模糊失效域的隶属函数近似保持为常数,从而可以利用高效的线抽样方法求得广义失效概率。给出所提方法的实现步骤和原理,并用理论和工程算例证明所提方法的合理性与可行性。For general reliability analysis with fuzzy failure and safety state, line sampling method is presented to calculate general failure probability. Integral region of the general failure probability is scattered according to the value of performance function. In the scattered integral region, the membership function values of the performance function to the fuzzy failure region keep constant approximately, then line sampling method is employed to obtain the general failure probability. The concept and the implementation are described step by step, numerical and engineering examples illustrate the rationality and feasibility of the presented method.

关 键 词：线抽样 广义失效概率 模糊失效 隶属函数 

分 类 号：TB114.3[理学—概率论与数理统计]