Optimum structural design via convex model superposition

By S. Ganzerli, C. Pantelides. 2000

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Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models (2009, unknown): “Since then, research works on the non-probabilistic structural optimization based on the convex model have been carried out by using the worst-case-scenario (or anti-optimization technique) [40–42], the interval analysis method [43,44], the convex model superposition method [45], and the similar.”
Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval (2007, unknown): “Ganzerli and Pantelides [16] proposed a superposition method of convex model to eliminate the anti-optimization process, and thus the optimization efficiency was improved greatly.”
Continuum topology optimization with non-probabilistic reliability constraints based on multi-ellipsoid convex model (2009, methodology): “In conjunction with reliability assessment under mixed description of probabilistic randomness and intervals, a multi-point approximation was proposed by Penmetsa and Grandhi (2002) , and an optimization method for uncertain structures was developed by Du et al. (2005).”
Discussions on non-probabilistic convex modelling for uncertain problems (2017, methodology): “Based on interval model, the anti-optimization analysis [7-10] was performed to seek for the least favorable response of a structural system under imposed constraints of uncertain-but-bounded parameters.”