A Single-Loop Method for Reliability-Based Design Optimization

By Jinghong Liang, Zissimos Mourelatos, Jian Tu. Design Automation Conference, 2004

262 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/911b72576682920d5caf4983bf26b66496ba7cad

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In Computational Theory and Mathematics

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Citations in the corpus

A new reliability analysis method for uncertain structures with random and interval variables (2012, methodology): “A cantilever beam modified from the numerical example in reference (Liang et al. 2004) is considered, as shown in Fig.”
Component and system reliability-based topology optimization using a single-loop method (2010, methodology): “It is noted that in the SLM proposed in Liang et al. (2004), the normalized random vector is updated using”
Reliability-based design optimization of multidisciplinary system under aleatory and epistemic uncertainty (2016, methodology): “…incorporated into the optimization process, several RBDO methods are developed such as nested loop, decoupled, and single loop methods (Madsen and Hansen 1992; Chen et al. 1997; Tu et al. 2001; Wang and Kodiyalam 2002; Agarwal and Renaud 2004; Du and Chen 2004; Liang et al. 2004; Yang and Gu 2004).”
An efficient approach to reliability-based topology optimization for continua under material uncertainty (2015, methodology): “…because typically the optimization is solved by numerically satisfying the KKT conditions such strategies are computationally equivalent to solving the original double-loop optimization problem (Kuschel and Rackwitz 2000; Kharmanda et al. 2002; Liang et al. 2004; Agarwal 2004; Agarwal et al. 2007).”
Reliability-based Topology Optimization of Trusses with Stochastic Stiffness (2013, methodology): “Often, these methods consist of employing the Karush–Kuhn–Tucker (KKT) optimality conditions for an approximation to the design point in the nested loop, allowing the inner loop to be replaced with a deterministic constraint [14].”
Reliability-based design optimization for problems with interval distribution parameters (2016, methodology): “Just like the existing decoupling algorithms (Du and Chen 2004; Liang et al. 2004), the basic idea of ISV is also to convert the nested optimization into a sequential iterative process of the design optimization and the reliability analysis.”