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Multiobjective Reliability-Based Design Optimization Formulations Solved Combining NSGA-II and First Order Reliability Method

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Hybrid Artificial Intelligent Systems (HAIS 2017)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10334))

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Abstract

Uncertainties are inherent in realistic structural optimization problems. For example, geometric variables and material properties are uncertain parameters and have to be accounted to ensure safety and quality. A manner of considering uncertainties in structural design is using constraints written in terms of probability of failure or reliability index in the optimization problem.

Usually structural optimization problems consider constraints as restrictions and optimize the cost or the weight of the structures. However, several types of problems can be formulated in the field of Optimization under Uncertainty. This paper presents a computer program to solve two type of problems: In the first one, a bi-objective problem is solved, where the probability of system failure has been added as the second objective to the original cost objective. The second problem consists in optimising simultaneously two more performances or objective functions subject to reliability constraints. This formulation is named Multiobjective Reliability Based Design Optimization (MO-RBDO).

Reliability analysis is carried out using a gradient based First Order Reliability Method (FORM). This structural reliability assessment method has shown efficient. An analytical example and a classical ten bar truss illustrate the application of this algorithm.

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Authors and Affiliations

  1. Universidad de La Rioja, Logroño, La Rioja, Spain

    Luis Celorrio

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  1. Luis Celorrio
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Correspondence to Luis Celorrio .

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Editors and Affiliations

  1. University of La Rioja , Logroño, La Rioja, Spain

    Francisco Javier Martínez de Pisón

  2. University of La Rioja , Logroño, La Rioja, Spain

    Rubén Urraca

  3. University of A Coruña , Ferrol, La Coruña, Spain

    Héctor Quintián

  4. University of Salamanca, Salamanca, Spain

    Emilio Corchado

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Celorrio, L. (2017). Multiobjective Reliability-Based Design Optimization Formulations Solved Combining NSGA-II and First Order Reliability Method. In: Martínez de Pisón, F., Urraca, R., Quintián, H., Corchado, E. (eds) Hybrid Artificial Intelligent Systems. HAIS 2017. Lecture Notes in Computer Science(), vol 10334. Springer, Cham. https://doi.org/10.1007/978-3-319-59650-1_57

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  • DOI: https://doi.org/10.1007/978-3-319-59650-1_57

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-59649-5

  • Online ISBN: 978-3-319-59650-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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