摘要
针对王光远院士所著《工程软设计理论》中将哈马邱尔算子作为考虑相关性时系统可靠度和失效概率的计算公式的性质进行讨论。这些性质是 ,限制相关参数γ的取值范围 [0 ,1]后 ,计算的结果也落在 [0 ,1] ,该算子关于变量、相关参数具有单调性和关于多元变量满足交换律与结合律以及并交运算关于对立事件的概率满足归一性。最后将哈马邱尔算子所得的结果和由条件关联系数导出的系统可靠度公式计算所得的结果进行比较 ,得出运用哈马邱尔算子计算系统可靠度所得的结果安全的结论。
The properties of Hamacher operator applied to the computation of systematic reliability and failure probability considering failure mode dependence in theory of soft design in engineering by academician Wang GuangYuan were discussed. When the range of the dependent parameter γ on Hamacher operator is defined in the bound from 0 to 1,computation result is varied in the bound from 0 to 1, too. Secondly, Hamacher operator takes on the monotonicity about variables and dependent parameter. Next, Hamacher operator meets commutativity and associativity axiom about variables. Besides, Hamacher operator meets the axiom that sum is 1 as far as the and /or operation about the opposite event is considered. Finally, through the comparison between the consequence calculated by application of Hamacher operator to systemic reliability and the result computed by application of the formula derived by conditional incidence coefficient,the conclusion that the consequence calculated by the former is excessively safe is drawn.
出处
《机械强度》
CAS
CSCD
北大核心
2004年第6期670-674,共5页
Journal of Mechanical Strength
基金
国家自然科学基金项目 (50 2 780 83)
教育部优秀青年教师资助计划项目
国家重点实验室开放基金项目 (PLN0 1 1 3)
四川省应用基础研究专项基金项目 (0 1GY0 51 40 )
四川省教育厅自然科学重点项目基金资助。
关键词
哈马邱尔算子
相关参数
条件关联系数
系统的可靠度和失效概率
Hamacher operator
Dependent parameter
Conditional incidence coefficient
Systematic reliability and failure probability
