摘要
对于实际工程中不可修系统的可靠性研究,稀缺的样本数据无法建立具有精确参数的系统寿命分布.为克服参数不确定所导致的可靠性误差,运用随机不确定变量来刻画系统和部件的寿命,用不确定变量描述寿命分布参数.在机会理论的框架下定义了随机不确定系统的可靠性指标,并给出了三类系统可靠性指标定理及相应的证明.最后给出了数值算例.
In many practical engineering problems,sufficient samples are not available to construct accurate probability distributions due to the uncertainty of distribution parameters.To overcome the large errors in reliability analysis,random uncertain variables are employed to model the lifetimes of the system and components.In the framework of chance theory,the reliability index of the random uncertain system is defined.The reliability index theorems and corresponding proofs for three common systems are given.Finally,numerical examples are presented.
作者
李珍珍
胡林敏
曹雪蕊
LI Zhen-zhen;HU Lin-min;CAO Xue-rui(School of Science,Yanshan University,Qinhuangdao 066000,China;School of Science,Hebei North University,Zhangjiakou 075000,China)
出处
《数学的实践与认识》
2021年第14期155-161,共7页
Mathematics in Practice and Theory
基金
河北省自然科学基金(A2018203088)
河北省省属高校基本科研业务费项目(JYT2020031)
河北省大学生创新创业项目(S202010092004)。
