A dimension-wise method and its improvement for multidisciplinary interval uncertainty analysis
A dimension-wise method and its improvement for multidisciplinary interval uncertainty analysis
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多学科区间不确定性分析的量纲方法及其改进
DOI：
10.1016/j.apm.2018.02.022
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发表时间：
2018-07
影响因子：
5
通讯作者：
Li Yunlong
中科院分区：
文献类型：
--
作者：
Wang Lei;Xiong Chuang;Wang Xiaojun;Xu Menghui;Li Yunlong
考虑到实际工程中广泛存在的不确定因素，提出了一种改进的多学科区间不确定性分析的量纲方法，该方法利用切比雪夫多项式逼近和迭代准则求解确定系统响应界的各区间变量的极值。首先，利用切比雪夫基函数构造多学科框架中系统输出变量与初始区间参数之间的逐维近似关系。然后利用Gauss-Chebyshev求积公式确定拟合函数的系数。针对传统量纲方法忽略不确定变量耦合影响的缺点，提出了一种新的迭代量纲方法(IDWM)，该方法在每次迭代中更新区间标称状态。进一步阐述了对效率和精度的讨论。最后给出了数值算例和工程算例，验证了该方法的有效性，结果表明，该方法在解决多学科问题的不确定性传播问题上具有一定的优势。
Considering that uncertain factors widely exist in practical engineering, this study develops an improved dimension-wise method for multidisciplinary interval uncertainty analysis, in which the extremums of each interval variable for determining systematical response bounds are solved using the Chebyshev polynomial approximation and iterative criterion. First, Chebyshev basis functions are involved to construct the approximate relation between the system output variables and initial interval parameters dimension by dimension in multidisciplinary frameworks. The Gauss–Chebyshev quadrature formulas are then utilized to confirm coefficients of the fitting function. Due to the weakness of traditional dimension-wise method, that is, it ignores the coupling effects of uncertain variables, a new iterative dimension-wise method (IDWM) where the nominal states of intervals can be updated in each iteration, is proposed. Discussions on efficiency and accuracy are further expounded. Both numerical and engineering examples are eventually given to demonstrate the usage and validity of the developed methodology, and results indicate that the presented IDWM has a superiority in uncertainty propagation problems of multidisciplinary issues.
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