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Reliability-Based Robust Optimization Applied to Engineering System Design

  • Fran Sérgio LobatoEmail author
  • Márcio Aurelio da Silva
  • Aldemir Aparecido CavaliniJr.
  • Valder SteffenJr.
Chapter

Abstract

Traditionally, concerning the engineering system design, the vector of design variables is considered as being formed by deterministic quantities (free of errors, i.e., without the influence of uncertainties). However, small variations in these quantities can affect the considered objective functions and, consequently, the resulting design of the system. Probabilistic methods have been proposed to deal with this kind of problem. These methodologies can be classified according to two main categories: robust design (RD) and reliability-based design (RBO). In this contribution, reliability and robustness are used simultaneously in engineering system design. The proposed approach is based on the Differential Evolution (DE) algorithm in association with the following strategies: (1) Mean Effective Concept (MEC) (robustness); and (2) Inverse Reliability Analysis (IRA) (reliability-based design). Mathematical and engineering test cases are studied to evaluate the proposed methodology. The obtained results demonstrate that the proposed technique represents an interesting alternative to reliability-based robust design of engineering systems.

Notes

Acknowledgements

The authors acknowledge the Brazilian research agencies CNPq, FAPEMIG (APQ-02284-15), and CAPES for the financial support of this research work through the National Institute of Science and Technology on Smart Structures in Engineering (INCT-EIE).

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Fran Sérgio Lobato
    • 1
    Email author
  • Márcio Aurelio da Silva
    • 2
  • Aldemir Aparecido CavaliniJr.
    • 2
  • Valder SteffenJr.
    • 2
  1. 1.NUCOP-Laboratory of Modeling, Simulation, Control and Optimization, School of Chemical EngineeringFederal University of UberlândiaUberlândiaBrazil
  2. 2.LMEst-Structural Mechanics Laboratory, School of Mechanical EngineeringFederal University of UberlândiaUberlândiaBrazil

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