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Engineering with Computers
Erschienen in: Engineering with Computers 4/2020

31.05.2019 | Original Article

Structural shape optimization using Bézier triangles and a CAD-compatible boundary representation

verfasst von: Jorge López, Cosmin Anitescu, Navid Valizadeh, Timon Rabczuk, Naif Alajlan

Erschienen in: Engineering with Computers | Ausgabe 4/2020

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Abstract

A method for shape optimization using Bézier triangles is introduced. The proposed procedure takes as input a CAD-compatible boundary representation of the domain and outputs an optimal design while maintaining an exact geometry representation at each iteration. The use of a triangular discretization allows the modeling of complex geometric domains, including voids, using a single patch. Some topology changes, such as those resulting from merging boundaries, can also be easily considered. An automatic mesh generator based on a quadtree construction is used to create the mesh. A gradient-based optimization algorithm (the method of moving asymptotes) is employed together with a sensitivity propagation procedure. We apply the method to some standard benchmark problems commonly considered in the literature and show that the proposed method converges to an optimal shape in only a few iterations.
Vorheriger Artikel Procedures to build trust in nonlinear elastoplastic integration algorithm: solution and code verification
Nächster Artikel Combination of finite difference method and meshless method based on radial basis functions to solve fractional stochastic advection–diffusion equations

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Metadaten
Titel
Structural shape optimization using Bézier triangles and a CAD-compatible boundary representation
verfasst von
Jorge López
Cosmin Anitescu
Navid Valizadeh
Timon Rabczuk
Naif Alajlan
Publikationsdatum
31.05.2019
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 4/2020
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-019-00788-z

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