Efficient reliability-based design optimization using a hybrid space with application to finite element analysis

By G. Kharmanda, A. Mohamed, Maurice Lemaire. 2002

172 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Environmental Engineering, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/0f0001b5830c3e6024d6d6cb01452557ccb6c746

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In Civil and Structural Engineering

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In Statistics and Probability

Citations in the corpus

Reliability-based design optimization using kriging surrogates and subset simulation (2011, methodology): “In Kharmanda et al. (2002), the augmented reliability space is defined as the tensor product between the space of the standardized normal random variables and the design space: DU ×Dθ , but the dimension of this space (n+ nθ ) suffers from both the number of random variables n and the number of desi”
Reliability-based topology optimization (2004, methodology): “In order to avoid this difficulty, an efficient method was proposed by Kharmanda et al. (2001a, 2002c) , which is called the hybrid (or concurrent) RBDO method.”
A survey on approaches for reliability-based optimization (2010, methodology): “Another example of the application of the KKT conditions can be found in Kharmanda et al (2002); Mohsine et al (2006), where a hybrid formulation is applied for solving the RBO problem, i.e. the objective function is expressed as the product between the objective function and the reliability of the…”
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).”
Optimum values of structural safety factors for a predefined reliability level with extension to multiple limit states (2004, methodology): “Both drawbacks can be reduced when using the hybrid RBDO method extended to multiple limit state cases ( Kharmanda et al. 2002 ).”
Improved hybrid method as a robust tool for reliability-based design optimization (2006, methodology): “However, from the optimization view point, an efficient method called the hybrid method has been elaborated (Kharmanda et al. 2002).”