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Optimization methods are increasingly used to design §structures. Structural optimization with linear §static analysis is pretty much mature in methodology §and therefore several codes now have optimization §capability for linear analysis. This is in contrast §to optimization with crash and impact responses §encountered in automotive, defense, transportation §safety and other fields. Impact responses do not §present simplicities as with linear static §responses. They are highly nonlinear and noisy (i.e. §non smooth) preventing the use of conventional §optimization methods based on gradients or §sensitivities. Also, impact analyses are usually §computationally costly. Such difficulties motivated §the development of effective and efficient methods §for impact optimization. This book elaborates §structural optimization procedure under crash and §impact loading. For this purpose, analysis and §optimization methods are discussed in detail. §Impact optimization problems are solved from several §areas.
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