A new approach for simultaneous shape and topology optimization based on dynamic implicit surface function
Xu Guo, Kang Zhao, Michel Wang (2005)
Control and Cybernetics
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Xu Guo, Kang Zhao, Michel Wang (2005)
Control and Cybernetics
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Kucuk, Ismail, Adali, Sarp, Sadek, Ibrahim (2009)
Mathematical Problems in Engineering
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Frédéric de Gournay, Grégoire Allaire, François Jouve (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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The goal of this paper is to study the so-called worst-case or robust optimal design problem for minimal compliance. In the context of linear elasticity we seek an optimal shape which minimizes the largest, or worst, compliance when the loads are subject to some unknown perturbations. We first prove that, for a fixed shape, there exists indeed a worst perturbation (possibly non unique) that we characterize as the maximizer of a nonlinear energy. We also propose a stable algorithm...
Rajadas, J.N., Chattopadhyay, A., Pagaldipti, N., Zhang, S. (1998)
Mathematical Problems in Engineering
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Keti Stasa (1994)
The Yugoslav Journal of Operations Research
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Yoel Tenne (2017)
International Journal of Applied Mathematics and Computer Science
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Modern engineering design optimization often uses computer simulations to evaluate candidate designs. For some of these designs the simulation can fail for an unknown reason, which in turn may hamper the optimization process. To handle such scenarios more effectively, this study proposes the integration of classifiers, borrowed from the domain of machine learning, into the optimization process. Several implementations of the proposed approach are described. An extensive set of numerical...
Harbir Antil, Ronald Hoppe, Christopher Linsenmann (2008)
Control and Cybernetics
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