TY - JOUR
T1 - A novel sensitivity index for analyzing the response of numerical models with interval inputs
AU - Chang, Qi
AU - Zhou, Changcong
AU - Valdebenito, Marcos A.
AU - Liu, Hongwei
AU - Yue, Zhufeng
N1 - Funding Information:
This work is supported by the National Natural Science Foundation of China (Grant No. NSFC51975476 ). The first author is sponsored by the Innovation Foundation for Doctor Dissertation of Northwestern Polytechnical University (Grant No. CX2022012 ). The authors would also like to thank the anonymous reviewers for the helpful and constructive comments.
Publisher Copyright:
© 2022 Elsevier B.V.
PY - 2022/10/1
Y1 - 2022/10/1
N2 - This study proposes a novel sensitivity index to provide essential insights into numerical models whose inputs are characterized by intervals. Based on the interval model and its normalized form, the interval processes are introduced to define a new sensitivity index. The index can represent the individual or joint influence of the interval inputs on the output of a considered model. A double-loop strategy, based on global metamodeling and optimization, is established to calculate the index. Subsequently, the proposed index is theoretically compared with two other existing indices, and it is experimentally applied to three numerical examples and a practical engineering problem of a honeycomb sandwich radome. The results indicate that the proposed index is an effective tool for interval sensitivity analysis.
AB - This study proposes a novel sensitivity index to provide essential insights into numerical models whose inputs are characterized by intervals. Based on the interval model and its normalized form, the interval processes are introduced to define a new sensitivity index. The index can represent the individual or joint influence of the interval inputs on the output of a considered model. A double-loop strategy, based on global metamodeling and optimization, is established to calculate the index. Subsequently, the proposed index is theoretically compared with two other existing indices, and it is experimentally applied to three numerical examples and a practical engineering problem of a honeycomb sandwich radome. The results indicate that the proposed index is an effective tool for interval sensitivity analysis.
KW - Global metamodeling
KW - Interval
KW - Model
KW - Sensitivity analysis
KW - Uncertainty
UR - http://www.scopus.com/inward/record.url?scp=85136707722&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2022.115509
DO - 10.1016/j.cma.2022.115509
M3 - Article
AN - SCOPUS:85136707722
SN - 0045-7825
VL - 400
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
M1 - 115509
ER -