摘要
提出一种基于随机集的混合不完整信息可靠性分析方法。将各类不完整信息用随机集表示,在随机集理论框架下建立了混合不完整信息的可靠性分析统一模型。用基于随机集的函数扩张原理,得到极限状态函数的随机集表示,然后求出可靠度的极限累积分布函数。在此基础上,求出可靠度的上下界,得到可靠度的区间估计。给出了基于随机集的可靠性分析实施方法与步骤,并给出了一个组合拉杆的可靠性分析实例。
A method for analyzing the reliability of a structure affected by heterogeneous variables with imperfect information is proposed based on the random set theory.The heterogeneous variables are transformed and expressed in the random set formalism,and then a unified mathematical model for reliability analysis is established in the framework of random set theory.The limit-state function（LSF） of the structure is mapped into an image in the random set formalism by using the extension principle of random set,and the limit cumulative distribution functions（CDF） of the LSF are calculated.According to the upper and the lower CDF of LSF,the bounds of reliability are calculated and considered as the interval estimation of the reliability of a structure.The implementing steps of the proposed method are presented and demonstrated with a reliability analysis example of a two-component rod under tensile load.
出处
《机械科学与技术》
CSCD
北大核心
2011年第2期290-296,共7页
Mechanical Science and Technology for Aerospace Engineering
基金
湖南省自然科学基金项目(09JJ3091)
湖南省教育厅科学研究项目(09A009)
长沙大学科研基金项目(SF070201)资助
关键词
可靠性
不完整信息
随机集理论
分析方法
reliability
imperfect information
random set theory
analysis method
