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Combination of structural reliability and interval analysis

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Abstract

In engineering applications, probabilistic reliability theory appears to be presently the most important method, however, in many cases precise probabilistic reliability theory cannot be considered as adequate and credible model of the real state of actual affairs. In this paper, we developed a hybrid of probabilistic and non-probabilistic reliability theory, which describes the structural uncertain parameters as interval variables when statistical data are found insufficient. By using the interval analysis, a new method for calculating the interval of the structural reliability as well as the reliability index is introduced in this paper, and the traditional probabilistic theory is incorporated with the interval analysis. Moreover, the new method preserves the useful part of the traditional probabilistic reliability theory, but removes the restriction of its strict requirement on data acquisition. Example is presented to demonstrate the feasibility and validity of the proposed theory.

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Authors and Affiliations

  1. Institute of Solid Mechanics, Beihang University, Beijing, 100083, China

    Zhiping Qiu & Di Yang

  2. Department of Mechanical Engineering, Florida Atlantic University, Boca Raton, FL, 33431-0991, USA

    Isaac Elishakoff

Authors
  1. Zhiping Qiu
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  2. Di Yang
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  3. Isaac Elishakoff
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Corresponding author

Correspondence to Zhiping Qiu.

Additional information

The project supported by the National Outstanding Youth Science Foundation of China (10425208), Civil 863 Program (2006AA04Z410) and 111 Project (B07009).

The English text was polished by Yunming Chen.

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Qiu, Z., Yang, D. & Elishakoff, I. Combination of structural reliability and interval analysis. Acta Mech. Sin. 24, 61–67 (2008). https://doi.org/10.1007/s10409-007-0111-4

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  • DOI: https://doi.org/10.1007/s10409-007-0111-4

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