Structural and Multidisciplinary Optimization

, Volume 41, Issue 1, pp 87–106 | Cite as

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

  • Mariana Silva
  • Daniel A. Tortorelli
  • Julian A. Norato
  • Christopher Ha
  • Ha-Rok Bae
Research Paper


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.


Topology optimization Component reliability System reliability Random loads Single-loop method 


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Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  • Mariana Silva
    • 1
  • Daniel A. Tortorelli
    • 1
  • Julian A. Norato
    • 2
  • Christopher Ha
    • 2
  • Ha-Rok Bae
    • 2
  1. 1.Department of Mechanical Science and EngineeringUniversity of Illinois at Urbana-ChampaignUrbanaUSA
  2. 2.Champaign Simulation CenterCaterpillar Inc.ChampaignUSA

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