Reference : Generalized Shape optimization based on the Level Set method
Scientific congresses and symposiums : Paper published in a book
Engineering, computing & technology : Aerospace & aeronautics engineering
Engineering, computing & technology : Mechanical engineering
http://hdl.handle.net/2268/25669
Generalized Shape optimization based on the Level Set method
English
Van Miegroet, Laurent mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres >]
Moës, Nicolas mailto [ > > ]
Fleury, Claude [Université de Liège - ULg > Département d'aérospatiale et mécanique > LTAS - Optimisation multidisciplinaire >]
Duysinx, Pierre mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres >]
May-2005
Proceedings of the 6th World Congress of Structural and Multidisciplinary Optimization (WCSMO6)
Herskowitz, José mailto
No
No
International
6th World Congress of Structural and Multidisciplinary Optimization (WCSMO6)
May 30 - June 3, 2005
Herskowitz J.
Rio de Janeiro
Brazil
[en] Topology optimization ; Shape optimization ; Level Set ; XFEM
[en] This paper describes a first step work devoted to applying XFEM and Level Sets methods in optimization of structures. This first step work is based on integrating an existing XFEM code within a general open optimization tool, SAMCEF BOSS QUATTRO. Unlike most of the existing works, this approach is more shape optimization oriented. A library of pre-formatted basic geometric entities (such as ellipses, squares, triangles, etc.) described by Level Sets functions are used. These basic Level Set features can be combined to represent many kinds of interfaces and holes. The construction parameters of the basic Level Sets are considered as the design variables. In order to evaluate the sensitivities, a finite difference scheme over the design variables is used in this first work. Different mechanical responses (energy, weight, displacement, . . .) can be considered as objective functions or constraints in the problem formulation. Several academic 2D test cases of shape and topology optimization are presented within the XFEM and Level Set approach. In addition, a work by Missoum et al. [11], in which the shape and topology optimization of the structure is carried out by an optimal selection of holes characteristics with a genetic algorithm is presented.
http://hdl.handle.net/2268/25669

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