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A new method for evaluating Borgonovo moment-independent importance measure with its application in an aircraft structure

Published on Dec 1, 2014in Reliability Engineering & System Safety4.04
· DOI :10.1016/j.ress.2014.07.011
Leigang Zhang4
Estimated H-index: 4
(NPU: Northwestern Polytechnical University),
Zhenzhou Lu18
Estimated H-index: 18
(NPU: Northwestern Polytechnical University)
+ 1 AuthorsChongqing Fan1
Estimated H-index: 1
(NPU: Northwestern Polytechnical University)
Abstract
The moment-independent importance measure proposed by Borgonovo, which is defined as the average shift between the unconditional and conditional probability density functions (PDFs) of model output, is widely used to evaluate the influence of input uncertainty on the entire output distribution. And how to exactly and efficiently estimate the PDFs remains a crucial and challenging problem. In this paper, a novel PDF estimation based method is proposed to efficiently evaluate the moment-independent index. Firstly, the PDF of the model output is obtained based on the concepts of maximum entropy, fractional moment and high dimensional model representation. Secondly, the Nataf transformation is utilized to estimate the joint PDF of the output and input variable. Finally, the index can be easily computed using the generated correlated standard normal samples. Thus the importance measure can be calculated with high efficiency and accuracy using this proposed composited method. Several examples are employed to demonstrate the advantages of the proposed method. Meanwhile, the importance analysis of a stiffening rib of the wing leading edge in a certain aircraft also verifies its good engineering applicability.
  • References (39)
  • Citations (27)
References39
Newest
#1Xiaoyan Zhu (UT: University of Tennessee)H-Index: 14
#2Way Kuo (CityU: City University of Hong Kong)H-Index: 18
#1Junqiang Wei (NCEPU: North China Electric Power University)H-Index: 3
#2Gengyin Li (NCEPU: North China Electric Power University)H-Index: 8
Last.Ming Zhou (NCEPU: North China Electric Power University)H-Index: 6
view all 3 authors...
#1Elmar Plischke (TUC: Clausthal University of Technology)H-Index: 9
#2Emanuele Borgonovo (Bocconi University)H-Index: 23
Last.Curtis L. Smith (INL: Idaho National Laboratory)H-Index: 8
view all 3 authors...
#1Pengfei Wei (NPU: Northwestern Polytechnical University)H-Index: 9
#2Zhenzhou Lu (NPU: Northwestern Polytechnical University)H-Index: 18
Last.Xiukai Yuan (NPU: Northwestern Polytechnical University)H-Index: 1
view all 3 authors...
#1Way Kuo (CityU: City University of Hong Kong)H-Index: 18
#2Xiaoyan Zhu (UT: University of Tennessee)H-Index: 14
#1Way Kuo (CityU: City University of Hong Kong)H-Index: 18
#2Xiaoyan Zhu (UT: University of Tennessee)H-Index: 14
Cited By27
Newest
#1Wanying Yun (NPU: Northwestern Polytechnical University)H-Index: 7
#2Zhenzhou Lu (NPU: Northwestern Polytechnical University)H-Index: 18
Last.Luyi Li (NPU: Northwestern Polytechnical University)H-Index: 7
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#1Qiming Liu (HEBUT: Hebei University of Technology)H-Index: 4
#2Qiming Liu (HEBUT: Hebei University of Technology)
Last.Fengjiao Guan (National University of Defense Technology)H-Index: 2
view all 6 authors...
#1Yicheng Zhou (NPU: Northwestern Polytechnical University)H-Index: 6
#2Zhenzhou Lu (NPU: Northwestern Polytechnical University)H-Index: 18
Last.Kai Cheng (NPU: Northwestern Polytechnical University)H-Index: 4
view all 4 authors...
#1Qing Guo (NPU: Northwestern Polytechnical University)
#2Yongshou Liu (NPU: Northwestern Polytechnical University)
Last.Qin Yao (NPU: Northwestern Polytechnical University)
view all 5 authors...
#1Linjie Shen (NPU: Northwestern Polytechnical University)
#2Yugang Zhang (NPU: Northwestern Polytechnical University)
Last.Bozhi Guo (NPU: Northwestern Polytechnical University)
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#1Ning Wang (Chang'an University)
#2Jiang-bin Zhao (NPU: Northwestern Polytechnical University)
Last.Shuai Zhang (NPU: Northwestern Polytechnical University)
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