## 留言板

 引用本文: 成凯, 吕震宙, 石岩等 . 基于可能性矩的混合不确定性全局灵敏度分析[J]. 北京航空航天大学学报, 2017, 43(8): 1705-1712.
CHENG Kai, LYU Zhenzhou, SHI Yanet al. Global sensitivity analysis under mixed uncertainty based on possibilistic moments[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(8): 1705-1712. doi: 10.13700/j.bh.1001-5965.2016.0626(in Chinese)
 Citation: CHENG Kai, LYU Zhenzhou, SHI Yanet al. Global sensitivity analysis under mixed uncertainty based on possibilistic moments[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(8): 1705-1712. (in Chinese)

• 中图分类号: TB114

## Global sensitivity analysis under mixed uncertainty based on possibilistic moments

Funds:

Fundamental Research Funds for the Central Universities 3102015BJ(Ⅱ) CG009

###### Corresponding author:LYU Zhenzhou, E-mail: zhenzhoulu@nwpu.edu.cn
• 摘要:

在同时包含随机不确定性和模糊不确定性结构系统中，为了分别度量随机输入变量和模糊输入变量对输出响应的统计特征的影响，提出了随机输入变量和模糊输入变量的全局灵敏度新指标。在模糊变量可能性矩定义的基础上，分析了混合不确定性下输出响应的特征。从输出响应可能性矩的角度出发，以输出响应的可能性期望为例，通过比较输出响应有条件和无条件可能性期望的概率密度函数（PDF）的平均差异，分别建立了随机输入变量和模糊输入变量关于输出响应的可能性期望的灵敏度指标。讨论了所提指标的性质，并采用Kriging代理模型来提高混合不确定性全局灵敏度指标的计算效率。最后通过算例验证了本文所提方法的准确性和高效性。

• 图 1  流体管道系统示意图

Figure 1.  Schematic diagram of a sewer pipe system

图 2  屋架结构的简单示意图

Figure 2.  Schematic diagram of a roof truss structure

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##### 出版历程
• 收稿日期:  2016-07-27
• 录用日期:  2016-09-02
• 刊出日期:  2017-08-20

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