Shape and topology optimization of the robust compliance via the level set method

François Jouve; Grégoire Allaire; Frédéric de Gournay

Displaying similar documents to “Shape and topology optimization of the robust compliance via the level set method”

Shape and topology optimization of the robust compliance the level set method

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...

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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Structural optimization using topological and shape sensitivity via a level set method

Grégoire Allaire, Frédéric de Gournay, François Jouve, Anca-Maria Toader (2005)

Control and Cybernetics

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Numerical minimization of eigenmodes of a membrane with respect to the domain

Édouard Oudet (2004)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper we introduce a numerical approach adapted to the minimization of the eigenmodes of a membrane with respect to the domain. This method is based on the combination of the Level Set method of S. Osher and J.A. Sethian with the relaxed approach. This algorithm enables both changing the topology and working on a fixed regular grid.