【摘要】 根据模糊可靠性分析模型,推导了模糊变量变换为当量随机变量时其概率密度函数和概率分布函数的一般表达式,并得出了线性模糊变量变换为当量随机变量时的具体表达式。然后利用概率论的知识,给出了线性模糊变量的当量均值和当量标准差的计算式,再用传统可靠性理论中的联接方程,计算出了模糊可靠性分析的可靠性系数,进而用标准正态概率分布函数估计失效概率。算例验证了这一思路是可行的,并可简化模糊可靠性分析。更多还原

【Abstract】 Based on the analyzing model of fuzzy reliability, general formula of the probability density function and the probability distribution function of equivalent random variables transformed from the membership function of fuzzy variables are derived. Also, the concrete probability density function and the concrete probability distribution function of equivalent random strength of a triangular fuzzy strength are obtained by using the derived formulae. And then, the equivalent mean and the equivalent standard deviation of the triangular fuzzy strength are derived based on probability theory so that the reliability coefficient of fuzzy reliability analysis can be obtained by using the link equation of conventional reliability theory and the reliability can be estimated by using the probability distribution function of standard normal distribution. Examples show that it is feasible to analyze fuzzy reliability based on the conventional reliability theory, and it simplifies fuzzy reliability analysis via the idea put forwards in the paper.更多还原