Enhanced modified reliability index approach for efficient and robust reliability‐based design optimization

The reliability index approach (RIA) is one of the effective tools for solving the reliability‐based design optimization (RBDO) probabilistic model, which models the uncertainties with probability constraints. However, its wide application in engineering is limited due to low efficiency and converge...

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Bibliographic Details
Published inInternational journal for numerical methods in engineering Vol. 124; no. 2; pp. 382 - 401
Main Authors An, Xue, Shi, Dongyan
Format Journal Article
LanguageEnglish
Published Hoboken, USA John Wiley & Sons, Inc 30.01.2023
Wiley Subscription Services, Inc
Subjects
Constraint modelling
Design optimization
Efficiency
first‐order reliability method
Iterative methods
MPP
Probabilistic models
probability constraints
Probability theory
Reliability
reliability‐based design optimization
RIA
Robustness (mathematics)
Statistical analysis
uncertainties
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Summary:The reliability index approach (RIA) is one of the effective tools for solving the reliability‐based design optimization (RBDO) probabilistic model, which models the uncertainties with probability constraints. However, its wide application in engineering is limited due to low efficiency and convergence problems. The RIA‐based modified reliability index approach (MRIA) appears to be very robust and accurate than RIA but yields inefficient for the most probable point (MPP) search with highly nonlinear probabilistic constraints. In this study, an enhanced modified reliability index approach (EMRIA) is developed to improve the efficiency and robustness of searching for MPP and is utilized for RBDO. In the EMRIA, an innovative active set using rigorous inequality is applied to construct the region of exploring for MPP, where the unnecessary probabilistic constraint could be eliminated adaptively during the iterative process. Moreover, the double loop strategy (DLS) is integrated into the EMRIA to strengthen the efficiency and robustness of large‐scale RBDO problems. Two numerical examples demonstrated that the EMRIA is an efficient and robust method for MPP search in comparison with current first‐order reliability methods. Six RBDO problems quoted also indicate that DLS‐based EMRIA has good performance to solve complex RBDO problems.
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.7125