Robust structural topology optimization under random field loading uncertainty

By Junpeng Zhao, Chunjie Wang. 2014

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Non-probabilistic reliability-based topology optimization with multidimensional parallelepiped convex model (2017, background): “The reliability-based topology optimization (RBTO) (Kharmanda et al. 2004; Kim et al. 2006; Jalalpour and Tootkaboni 2016) and the robust topology optimization (RTO) (Guest and Igusa 2008; Zhao and Wang 2014; Wu et al. 2017) are two major paradigms for topology optimization problems under uncertaint”
Concurrent topology optimization of multiscale structures with multiple porous materials under random field loading uncertainty (2017, methodology): “¼ δij: ð19Þ Based on the linear superposition principle, the key idea in the literature (Zhao and Wang 2014a, b) is to introduce f0 ¼ μY xð Þ; f1 ¼ ffiffiffiffiffi λ1 p ψ1 xð Þ; :::; fM ¼ ffiffiffiffiffiffi λM p ψM xð Þ; ð20Þ as M + 1 deterministic design independent boundary load fields based on…”