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Efficient computational method for the non-probabilistic reliability of linear structural systems

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Abstract

The non-probabilistic reliability in higher dimensional situations cannot be calculated efficiently using traditional methods, which either require a large amount of calculation or cause significant error. In this study, an efficient computational method is proposed for the calculation of non-probabilistic reliability based on the volume ratio theory, specifically for linear structural systems. The common expression for non-probabilistic reliability is obtained through formula derivation with the amount of computation considerably reduced. The compatibility between non-probabilistic and probabilistic safety measures is demonstrated through the Monte Carlo simulation. The high efficiency of the presented method is verified by several numerical examples.

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Authors and Affiliations

  1. Institute of Solid Mechanics, Beihang University, 100191, Beijing, China

    Ruixing Wang, Xiaojun Wang, Lei Wang & Xianjia Chen

Authors
  1. Ruixing Wang
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  2. Xiaojun Wang
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  3. Lei Wang
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  4. Xianjia Chen
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Corresponding author

Correspondence to Xiaojun Wang.

Additional information

Project supported by the major research project (No. MJ-F-2012-04), Defense Industrial Technology Development Program (No. JCKY2013601B001) and the National Natural Science Foundation of China (Nos. 11372025, 11432002 and 11572024). Besides, the authors wish to express their many thanks to the reviewers for their useful and constructive comments.

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Wang, R., Wang, X., Wang, L. et al. Efficient computational method for the non-probabilistic reliability of linear structural systems. Acta Mech. Solida Sin. 29, 284–299 (2016). https://doi.org/10.1016/S0894-9166(16)30162-8

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  • DOI: https://doi.org/10.1016/S0894-9166(16)30162-8

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