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Interval parameter sensitivity analysis based on interval perturbation propagation and interval similarity operator

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Abstract

An interval parameter sensitivity analysis is developed to quantify the impact of simulation model parameters on the model outputs. This sensitivity analysis contains two main steps: the interval uncertainty propagation and the interval sensitivity index. The interval perturbation method is introduced to estimate the extreme bounds of model outputs according to the interval input parameters, which significantly reduces the computation cost of extensive Monte Carlo simulations. Since the output of the interval model are interval quantities, the traditional probabilistic sensitivity method and its sensitivity index are inappropriate as we only have the bounds of samples without inner data points. Hence, this work proposes an interval similarity operator based on the relative interval position operator, which is applicable to measure the variation of interval outputs. This interval sensitivity operator mainly quantifies the discrepancy between intervals based on six typical cases of the interval relative position. Finally, an academic case and a satellite structure case are analyzed to verify the feasibility and efficiency of the proposed method.

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Acknowledgements

The authors gratefully acknowledge the support of the Postdoctoral Research Foundation of Shunde Innovation School, University of Science and Technology Beijing (2021BH012), the Fundamental Technical Project (JSZL2020203B001), the International Communication Foundation of the University of Science and Technology Beijing (QNXM20220028), the National Natural Science Foundation of China (52005032 and 72271025), the Guangdong Basic and Applied Basic Research Foundation (2022A1515110276), and the Fundamental Research Founds for the Central Universities (FRF-TP-22-025A1).

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Authors and Affiliations

  1. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing, China

    Yanlin Zhao, Xindong Li, Jiahui Zhao, Jianhong Yang, Debin Yang & Lechang Yang

  2. Shunde Innovation School, University of Science and Technology Beijing, Guangzhou, China

    Yanlin Zhao, Jianhong Yang & Debin Yang

  3. Department of Applied Mechanics, CNRS/UFC/ENSMM/UTBM, Univ. Bourgogne Franche-Comt´e, Besancon, France

    Scott Cogan

  4. School of Astronautics, Beihang University, Beijing, China

    Jinqi Shang

  5. China Academy of Launch Vehicle Technology, Beijing, China

    Bing Sun

Authors
  1. Yanlin Zhao
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  2. Xindong Li
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  4. Jiahui Zhao
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  8. Bing Sun
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We have retained only one corresponding author at the opener page as per the standard for this journal. Please confirm. Corresponding author Jianhong Yang (ustbyangjianhong@163.com) and Author Debing Yang (ustbydb@163.com) are co-corresponding authors of this paper.

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Correspondence to Jianhong Yang.

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The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Replication of results

All modeling parameters are given in the case, and the corresponding finite element model can be obtained according to the case modeling. The presented results are produced using our in-house code surrogate-based optimization and sensitivity analysis. The code and data for producing the presented results will be made available by request. The relevant codes for the algorithms could be available on request by emailing the first author. The authors wish to withhold the source code for commercialization purposes. This includes the finite strain elastoplastic analysis code implementing the finite strain elastoplastic analysis and adjoint sensitivity analysis.

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Zhao, Y., Li, X., Cogan, S. et al. Interval parameter sensitivity analysis based on interval perturbation propagation and interval similarity operator. Struct Multidisc Optim 66, 179 (2023). https://doi.org/10.1007/s00158-023-03632-7

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