Reliability-based Topology Optimization of Trusses with Stochastic Stiffness

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An efficient approach to reliability-based topology optimization for continua under material uncertainty (2015, methodology): “The variance of the compliance, obtained using a first order estimate of C, can be expressed as (Asadpoure et al. 2011; Jalalpour et al. 2013): σ 2c = var[dT0 K0Ux] = fT UCUT f. (11) For the numerical problems considered in this work, we observed that the truncated equation above provides good…”
Non-probabilistic reliability-based topology optimization with multidimensional parallelepiped convex model (2017, background): “2017) and geometries (Jalalpour et al. 2013), reliability constraints are introduced into topology optimizations to form the so-called RBTO problems.”
Aerodynamic shape optimization for minimum robust drag and lift reliability constraint (2016, methodology): “In structural mechanics problems, the formulation has been applied for sizing, shape and topology optimization [30,20,17].”