【摘要】 为了研究功能函数为特殊多项式,且随机变量均服从对数正态分布的情况下,可靠指标可避免迭代运算的直接计算方法.本文提出采用对数变换的方法将功能函数线性化,从而转化为求线性功能函数的可靠指标.通过三个算例将本文方法与验算点法和蒙特卡罗法进行比较和校核,算例结果表明该方法不仅计算简单,不需要通过迭代运算求解,而且得出的结果均为精确解,比验算点法具有明显优势.更多还原

【Abstract】 In order to study direct calculation method of reliability index that can avoid iteration, when polynomial performance functions with only logarithmic normal distributed random variables. This paper proposed that the logarithm transformation is adopted to linearize the performance function. Then the formula is derived to calculate the reliability index. Three examples are used to compare the proposed method with the design point method. Monte-Carlo method is also utilized to verify the results. It is demonstrated that this method is simple and provides precise solution with no need of iterative computation. It has obvious advantages over the design point method.更多还原