Optimal Topologies in Case of Probabilistic Loading: The Influence of Load Correlation

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A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “…design robustness against several engineering parameters using density-methods have been studied including loading (Guest and Igusa 2008; Lógó et al. 2009), manufacturing errors (Sigmund 2009; Wang et al. 2011c; Schevenels et al. 2011; Qian and Sigmund 2013), and material properties…”
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).”
Length scale and manufacturability in density-based topology optimization (2016, background): “[97], Dunning and Kim [42] and Zhao and Wang [162].”
Optimal design of trusses with geometric imperfections: Accounting for global instability (2011, background): “Hence, topology optimization research has focused pri marily on deterministic design problems, with the inclusion of uncertainty typically limited to the loading, treated probabilisti cally or through multiple load cases (Bendsøe et al., 1994; Diaz and Bendsøe, 1992; Lógó, 2007; Lógó et al., 2009;”