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Reliability-Based Optimization Using Differential Evolution and Inverse Reliability Analysis for Engineering System Design

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Abstract

In this contribution, a new methodology based on a double-loop iteration process is proposed for the treatment of uncertainties in engineering system design. The inner optimization loop is used to find the solution associated with the highest probability value (inverse reliability analysis), and the outer loop is the regular optimization loop used to solve the considered reliability problem through differential evolution and multi-objective optimization differential evolution algorithms. The proposed methodology is applied to mathematical functions and to the design of classical engineering systems according to both mono- and multi-objective contexts. The obtained results are compared with those obtained by classical approaches and demonstrate that the proposed strategy represents an interesting alternative to reliability design of engineering systems.

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Acknowledgements

The authors are thankful to the Brazilian research agencies CNPq, FAPEMIG, and CAPES for the financial support of this research work through the National Institute of Science and Technology on Smart Structures for Engineering (INCT-EIE).

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Authors and Affiliations

  1. NUCOP—Laboratory of Modeling, Simulation, Control and Optimization, School of Chemical Engineering, Federal University of Uberlândia, Uberlândia, Brazil

    Fran S. Lobato

  2. Optimization and Reliability Center, Federal University of Santa Catarina, Florianópolis, Brazil

    Matheus S. Gonçalves

  3. LMEst—Structural Mechanics Laboratory, School of Mechanical Engineering, Federal University of Uberlândia, Uberlândia, Brazil

    Bárbara Jahn, Aldemir Ap. Cavalini Jr. & Valder Steffen Jr.

Authors
  1. Fran S. Lobato
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  2. Matheus S. Gonçalves
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  3. Bárbara Jahn
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  4. Aldemir Ap. Cavalini Jr.
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  5. Valder Steffen Jr.
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Correspondence to Fran S. Lobato.

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Communicated by Francis Tin-Loi.

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Lobato, F.S., Gonçalves, M.S., Jahn, B. et al. Reliability-Based Optimization Using Differential Evolution and Inverse Reliability Analysis for Engineering System Design. J Optim Theory Appl 174, 894–926 (2017). https://doi.org/10.1007/s10957-017-1063-x

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  • DOI: https://doi.org/10.1007/s10957-017-1063-x

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