Single-loop system reliability-based topology optimization considering statistical dependence between limit-states

DOI10.1007/s00158-011-0669-0zbMath1274.74373OpenAlexW1963956449MaRDI QIDQ381662

Glaucio H. Paulino, Junho Song, Tam H. Nguyen

Publication date: 15 November 2013

Published in: Structural and Multidisciplinary Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00158-011-0669-0

zbMATH Keywords

system reliabilityfirst-order reliability methodreliability-based design optimizationmultiresolution topology optimizationsecond-order reliability methodsingle-loop approach

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Topological methods for optimization problems in solid mechanics (74P15)

Related Items (11)

Quantile-based topology optimization under uncertainty using kriging metamodel ⋮ Boundary Element Method applied to decision-making problems involving geometric variabilities in topology optimization ⋮ Reliability-based topology optimization using stochastic response surface method with sparse grid design ⋮ Efficient quantification of material uncertainties in reliability-based topology optimization using random matrices ⋮ Phase-field based topology optimization with polygonal elements: a finite volume approach for the evolution equation ⋮ SVR-TO-APMA: hybrid efficient modelling and topology framework for stable topology optimization with accelerated performance measure approach ⋮ Efficient two-phase approach to reliability-based discrete variable topology optimization of continuum structures with multimodal distributions ⋮ A surrogate assisted adaptive framework for robust topology optimization ⋮ Stress-based topology optimization of continuum structures under uncertainties ⋮ A novel method of non-probabilistic reliability-based topology optimization corresponding to continuum structures with unknown but bounded uncertainties ⋮ An efficient sequential strategy for non-probabilistic reliability-based topology optimization (NRBTO) of continuum structures with stress constraints

Cites Work

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• Approximations to the probability integral and certain percentage points of a multivariate analogue of Student's t-distribution
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