合肥工业大学学报(自然科学版)
閤肥工業大學學報(自然科學版)
합비공업대학학보(자연과학판)
JOURNAL OF HEFEI UNIVERSITY OF TECHNOLOGY
2010年
2期
249-253
,共5页
可靠性分析%随机变量%模糊变量%隶属度函数%模糊截集%区间数
可靠性分析%隨機變量%模糊變量%隸屬度函數%模糊截集%區間數
가고성분석%수궤변량%모호변량%대속도함수%모호절집%구간수
reliability analy-sis%random variable%fuzzy variable%membership function%fuzzy set%interval number
文章针对传统可靠性分析中计算量较大、方法单一、无法处理模糊变量等问题,提出了在随机变量与模糊变量相互等价转换的基础上,用传统可靠性理论分析模糊可靠性问题以及用模糊数学方法计算传统可靠性问题;探讨了利用模糊数学中的截集和区间数等模糊理论进行可靠性计算;建立模糊应力强度干涉模型和概率论相结合,在不同的极限状态变量下进行可靠性计算;与传统可靠性计算的结论进行比较并分析误差原因.
文章針對傳統可靠性分析中計算量較大、方法單一、無法處理模糊變量等問題,提齣瞭在隨機變量與模糊變量相互等價轉換的基礎上,用傳統可靠性理論分析模糊可靠性問題以及用模糊數學方法計算傳統可靠性問題;探討瞭利用模糊數學中的截集和區間數等模糊理論進行可靠性計算;建立模糊應力彊度榦涉模型和概率論相結閤,在不同的極限狀態變量下進行可靠性計算;與傳統可靠性計算的結論進行比較併分析誤差原因.
문장침대전통가고성분석중계산량교대、방법단일、무법처리모호변량등문제,제출료재수궤변량여모호변량상호등개전환적기출상,용전통가고성이론분석모호가고성문제이급용모호수학방법계산전통가고성문제;탐토료이용모호수학중적절집화구간수등모호이론진행가고성계산;건립모호응력강도간섭모형화개솔론상결합,재불동적겁한상태변량하진행가고성계산;여전통가고성계산적결론진행비교병분석오차원인.
In order to sowe the existing problems in the traditional reliability analysis such as large a-mount of calculation,single method and inability to deal with fuzzy variables and so on,based on the necessary equivalent conversion" between function of fuzzy variables and random variables,the paper uses the reliability of the traditional theory to analyze the fuzzy reliability problem and use fuzzy math to calculate the traditional reliability problem.And then the paper proposes to use the concept of fuzzy set and interval number in fuzzy math or establish the interference model of fuzzy stress strength,then to make calculation and verification of reliability according to different ultimate variables.Finally,the results are compared with the traditional one and deviations are analyzed.
