区间模型非概率可靠性指标的改进型仿射算法  

Improved affine algorithm for non-probabilistic reliability index of interval model

作　　者：孙剑萍 罗意平[2] 汤兆平[1,2] 周新建 

机构地区：[1]华东交通大学交通运输与物流学院,江西南昌330013 [2]中南大学交通运输工程学院,湖南长沙410075

出　　处：《机械设计》2017年第11期83-89,共7页Journal of Machine Design

基　　金：国家自然科学基金资助项目(51465017);江西省普通本科高校中青年教师发展计划访问学者专项资金资助项目(2016-08)

摘　　要：针对标准区间运算易引发误差爆炸,常规的仿射运算没能考虑计算过程中出现的使用同一噪声元表达的一次项、二次项,乃至多次项、非线性项之间存在相关性而造成的计算误差,提出以仿射运算为主体,在遇到这种相关项时,借助区间运算计算出相关项总体取值的上下界,再利用上下界信息,引入新噪声的仿射型代替它们。这种借助区间运算对常规的仿射运算进行改进的方法,应用于区间模型非概率可靠性指标的计算结果,精度高于区间运算和常规的仿射运算,有较强的实际意义。Aimed at that standard interval arithmetic is easy to cause error explosion, as well as traditional affine arithmetic is easy to cause calculation error due to not considering the correlation among the first degree item, quadratic term, even the multiple-item and the nonlinear term expressed by the same noise, an improved algorithm was proposed which took affine algorithm operation as the main body. When there are those correlation items, the upper bound and lower bound of their total value were calculated by interval arithmetic, then uses the bound information and introduces the new noise affine form to instead of those terms. The method improved the conventional affine operation by combining interval arithmetic. When it applied to calculate the non-probabilistic reliability index, the calculation results has higher accuracy than the interval arithmetic and the conventional affine algorithm, and it hasimportant practical significance.

关 键 词：非概率可靠性 区间运算 相关性 新噪声 仿射运算 

分 类 号：TB114.3[理学—概率论与数理统计] O213.2[理学—数学]