区间模型非概率可靠性指标的改进型仿射算法
发布时间：2018-10-31 10:00
【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。
[Abstract]:In view of the error explosion caused by standard interval operations, conventional affine operations fail to take into account the terms of one, two, or even more times, which are expressed by the same noise element in the course of calculation. The calculation error caused by the correlation between the nonlinear terms is put forward. When the affine operation is the main body, the upper and lower bounds of the total value of the related items are calculated by the interval operation, and the upper and lower bound information is used. Affine types of new noises are introduced to replace them. The method of improving the conventional affine operation with interval operation is applied to the calculation results of non-probabilistic reliability index of interval model. The accuracy of the method is higher than that of interval operation and conventional affine operation, so it is of great practical significance.
【作者单位】： 华东交通大学交通运输与物流学院;中南大学交通运输工程学院;
【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)
【分类号】：TB114.3
[Abstract]:In view of the error explosion caused by standard interval operations, conventional affine operations fail to take into account the terms of one, two, or even more times, which are expressed by the same noise element in the course of calculation. The calculation error caused by the correlation between the nonlinear terms is put forward. When the affine operation is the main body, the upper and lower bounds of the total value of the related items are calculated by the interval operation, and the upper and lower bound information is used. Affine types of new noises are introduced to replace them. The method of improving the conventional affine operation with interval operation is applied to the calculation results of non-probabilistic reliability index of interval model. The accuracy of the method is higher than that of interval operation and conventional affine operation, so it is of great practical significance.
【作者单位】： 华东交通大学交通运输与物流学院;中南大学交通运输工程学院;
【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)
【分类号】：TB114.3
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