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Birnbaum-Saunders分布的寿命分散系数
引用本文:马小兵,陈钦锋,张苑馨.Birnbaum-Saunders分布的寿命分散系数[J].航空动力学报,2015,30(2):392-396.
作者姓名:马小兵  陈钦锋  张苑馨
作者单位:北京航空航天大学可靠性与系统工程学院,北京,100191
基金项目:国家自然科学基金(61104133,61473014)
摘    要:研究了基于Birnbaum-Saunders(B-S)分布的可靠疲劳寿命分析及评估方法,建立了基于中位值和平均值的B-S分布寿命分散系数确定方法.并针对特殊试验数据情形,建立了基于最大和最小顺序统计量的B-S分布寿命分散系数确定方法.公式表明:随着B-S分布尺度参数的增大,其中位寿命分散系数与平均寿命分散系数递减,而最大与最小寿命分散系数不变.案例计算结果表明,B-S分布的寿命分散系数通常小于对数正态分布的寿命分散系数.

关 键 词:B-S分布  疲劳寿命分散性  顺序统计量  寿命分散系数  小子样
收稿时间:2013/9/26 0:00:00

Life scatter factor of Birnbaum-Saunders distribution
MA Xiao-bing,CHEN Qin-feng and ZHANG Yuan-xin.Life scatter factor of Birnbaum-Saunders distribution[J].Journal of Aerospace Power,2015,30(2):392-396.
Authors:MA Xiao-bing  CHEN Qin-feng and ZHANG Yuan-xin
Institution:School of Reliability and Systems Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;School of Reliability and Systems Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;School of Reliability and Systems Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
Abstract:A method for reliable fatigue life analysis and assessment based on Birnbaum-Saunders(B-S) distribution was studied, and life scatter factor formulas of B-S distribution based on median value and mean value was derived respectively. Then, for some special cases of test data, life scatter factor formulas of B-S distribution based on the maximum and minimum order statistics was established. Formulas show that, the median and mean life scatter factors are decreased with the increasing of the scale parameter of B-S distribution, and the maximum and the minimum life scatter factors are constant. Case calculation results show that life scatter factors of B-S distribution are usually less than that of the lognormal distribution's.
Keywords:B-S distribution  fatigue life scatter  order statistic  life scatter factor  small sample
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