Reliability-based topology optimization with uncertainties

By Chwail Kim, Semyun Wang, K. Rae, Heegon Moon, Kyung K. Choi. 2006

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Component and system reliability-based topology optimization using a single-loop method (2010, background): “V Kang et al. 2004; Kim et al. 2006 ). In system reliability-based topology optimization (SRBTO) a single constraint encompasses all of the failure events.”
Single-loop system reliability-based topology optimization considering statistical dependence between limit-states (2011, methodology): “…successfully applied to a variety of topology optimization problems (Bae et al. 2002; Maute and Frangopol 2003; Allen et al. 2004; Jung and Cho 2004; Kang et al. 2004; Kharmanda et al. 2004; Kim et al. 2006; Guest and Igusa 2008; Rozvany 2008; Lógó et al. 2009; Luo et al. 2009; Chen et al. 2010).”
Non-probabilistic reliability-based topology optimization with multidimensional parallelepiped convex model (2017, methodology): “1990) can be used to check the feasibility of reliability constraints, according to the performance value at the MPP in the regularized uncertain space, which is more effective than RIA for reliability-based design optimization (RBDO) problems (Kim et al. 2006).”