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A novel null-hypothesis approximation method of limit state function in multi-failure mode reliability analysis of structural system

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Abstract

Modern industrial products feature complex structures, multiple sub-structural systems, and high-reliability requirements, especially for aerospace products. For the reliability analysis (RA) of these products, even if the analysis error of single sub-structural systems is small, the one of global reliability may be very large, therefore, it is challenging to meet the reliability requirements for whole products. With regard to the high-reliability and multiple failure mode problems, this paper proposes a novel null-hypothesis approximation method (NHA) of limit surface function (LSF). It can obtain the points on LSF in the feasible domain. Then, a new RA framework is established by combining the convex point cloud model (CPCM) with NHA. CPCM can obtain the volume of the point cloud by focusing on the points on LSF in the feasible domain. Compared with traditional RA methods, the new RA framework is suitable for complex structural systems with high-reliability, and it can mitigate the analysis error that is caused by traditional RA methods that only concentrate on curvature in proximity to MPP. Finally, three numerical examples and an engineering example are used to test the performance of the proposed method. Results indicate that the proposed method has similar accuracy to the Monte Carlo simulation (MCS) for rare event probability, and the computational cost is acceptable for complex engineering problems.

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Funding

This work was supported by the National Natural Science Funding Foundation of China (12302145), and the National Key Research and Development Program of China (2023YFB3306700).

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Authors and Affiliations

  1. State Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, Key Laboratory of Digital Twin for Industrial Equipment, Liaoning Province, Department of Engineering Mechanics, Dalian University of Technology, Dalian, 116023, China

    Yue Zhang, Shaojun Feng, Peng Hao, Hao Yang & Bo Wang

  2. Beijing Institute of Astronautical Systems Engineering, Beijing, 100076, China

    Bing Yu

Authors
  1. Yue Zhang
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  2. Shaojun Feng
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  3. Peng Hao
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  4. Hao Yang
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  5. Bo Wang
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  6. Bing Yu
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Contributions

Yue Zhang: Writing-original draft, Software, Resources. Shaojun Feng: Investigation，Funding acquisition. Peng Hao: Methodology, Conceptualization. Hao Yang: Investigation. Bo Wang: Writing-review & editing. Yu Bing: Software. All authors reviewed the manuscript.

Corresponding author

Correspondence to Peng Hao.

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The presented approach is described in detail to facilitate replication of the results. In case of further queries, readers can contact the author.

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Responsible Editor: Yoojeong Noh

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Zhang, Y., Feng, S., Hao, P. et al. A novel null-hypothesis approximation method of limit state function in multi-failure mode reliability analysis of structural system. Struct Multidisc Optim 67, 139 (2024). https://doi.org/10.1007/s00158-024-03848-1

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