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

By Mariana Silva, Daniel A. Tortorelli, Julian A. Norato, Christopher Ha, Ha-Rok Bae. 2010

128 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/0a935912487fbad616412b2c88d76a3113e14a9a

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In Civil and Structural Engineering

In Computational Theory and Mathematics

In Statistics and Probability

Citations in the corpus

Topology optimization of continuum structures with stress constraints and uncertainties in loading (2018, methodology): “Then, one can use the solution of the first subproblem ( ρ (1) )∗ as initial estimative for the second subproblem ρ (2) , the updated Lagrange multipliers μ((2)) and the updated penalization parameter r((2)) to find the solution of the second subproblem ( ρ (2) )∗ .”
Single-loop system reliability-based topology optimization considering statistical dependence between limit-states (2011, methodology): “each joint probability can be computed by the product of the component probabilities (Nguyen 2010; Silva et al. 2010 ).”
Fail-safe topology optimization (2016, background): “…survey, and to select papers for further reading: Maute and Frangopol (2003), Kharmanda et al (2004), Jung and Cho (2004), Guest and Igusa (2008), Silva et al (2010), Chen et al (2010), Chen and Chen (2011), Lazarov et al (2012), Nguyen et al (2011), Rozvany and Maute (2011), Tootkaboni et al…”
An efficient approach to reliability-based topology optimization for continua under material uncertainty (2015, methodology): “Silva et al. (2010) for example used a variant of a single-loop method proposed by Liang et al. (2004) to perform component and system RBTO under loading uncertainty.”
Robust topology optimization accounting for spatially varying manufacturing errors (2011, background): “Other authors follow a reliability based approach to topology optimization [21, 29, 39].”
Analytical and numerical solutions for a reliability-based benchmark example (2011, result): “Comparable results have been obtained numerically by Silva et al. (2010) .”