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Component and system reliability-based topology optimization using a single-loop method

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An Erratum to this article was published on 25 February 2010

Abstract

We perform reliability-based topology optimization by combining reliability analysis and material distribution topology design methods to design linear elastic structures subject to random inputs, such as random loadings. Both component reliability and system reliability are considered. In component reliability, we satisfy numerous probabilistic constraints which quantify the failure of different events. In system reliability, we satisfy a single probabilistic constraint which encompasses the component events. We adopt the first-order reliability method to approximate the component reliabilities and the inclusion-exclusion rule to approximate the system reliability. To solve the probabilistic optimization problem, we use a variant of the single loop method, which eliminates the need for an inner reliability analysis loop. The proposed method is amenable to implementation with existing deterministic topology optimization software, and hence suitable for practical applications. Designs obtained from component and system reliability-based topology optimization are compared to those obtained from traditional deterministic topology optimization and validated via Monte Carlo simulation.

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Authors and Affiliations

  1. Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, 1206 West Green St., Urbana, IL, 61801, USA

    Mariana Silva & Daniel A. Tortorelli

  2. Champaign Simulation Center, Caterpillar Inc., 1901 S. First St., Champaign, IL, 61820, USA

    Julian A. Norato, Christopher Ha & Ha-Rok Bae

Authors
  1. Mariana Silva
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  2. Daniel A. Tortorelli
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  3. Julian A. Norato
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  4. Christopher Ha
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  5. Ha-Rok Bae
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Corresponding author

Correspondence to Mariana Silva.

Additional information

The part related to system reliability was presented at the EngOpt 2008—International Conference on Engineering Optimization, Rio de Janeiro, Brazil 2008.

An erratum to this article can be found at http://dx.doi.org/10.1007/s00158-010-0490-1

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Silva, M., Tortorelli, D.A., Norato, J.A. et al. Component and system reliability-based topology optimization using a single-loop method. Struct Multidisc Optim 41, 87–106 (2010). https://doi.org/10.1007/s00158-009-0401-5

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  • DOI: https://doi.org/10.1007/s00158-009-0401-5

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