A 2D topology optimisation algorithm in NURBS framework with geometric constraints
TypeArticles dans des revues avec comité de lecture
In this paper, the Solid Isotropic Material with Penalisation (SIMP) method for Topology Optimisation (TO) of 2D problems is reformulated in the Non-Uniform Rational BSpline (NURBS) framework. This choice implies several advantages, such as the definition of an implicit filter zone and the possibility for the designer to get a geometric entity at the end of the optimisation process. Therefore, important facilities are provided in CAD postprocessing phases in order to retrieve a consistent and well connected final topology. The effect of the main NURBS parameters (degrees, control points, weights and knot-vector components) on the final optimum topology is investigated. Classic geometric constraints, as the minimum and the maximum member size have been integrated and reformulated according to the NURBS formalism. Furthermore, a new constraint on the local curvature radius has been developed thanks to the NURBS formalism and properties. The effectiveness and the robustness of the proposed method are tested and proven through some benchmarks taken from literature and the results are compared with those provided by the classical SIMP approach.
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COSTA, Giulio; MONTEMURRO, Marco; PAILHES, Jérôme (J.F. Silva Gomes and Shaker A. Meguid editors, 2017)In this work, the Solid Isotropic Material with Penalization (SIMP) topology optimization (TO) method is revisited and reformulated within the mathematical framework of NURBS functions. This implies several advantages: ...
On the integration of additive manufacturing constraints in the framework of a NURBS-based topology optimisation method COSTA, Giulio; MONTEMURRO, Marco; PAILHES, Jérôme (2017)This work focuses on the topology optimization (TO) of 2D structures: the Solid Isotropic Material with Penalisation (SIMP) method is revisited and reformulated within the mathematical framework of Non-Uniform Rational ...
A General Hybrid Optimization Strategy for Curve Fitting in the Non-uniform Rational Basis Spline Framework COSTA, Giulio; MONTEMURRO, Marco; PAILHES, Jérôme (Springer Science and Business Media LLC, 2017)In this paper, a general methodology to approximate sets of data points through Non-Uniform Rational Basis Spline curves is provided. The proposed approach aims at integrating and optimizing the full set of design variables ...
COSTA, Giulio; MONTEMURRO, Marco; PAILHES, Jérôme; PERRY, Nicolas (Elsevier BV, 2019)This paper deals with a new method for handling manufacturing and geometrical requirements in the framework of a general Topology Optimisation (TO) strategy. In particular, the maximum length scale constraint (MLSC) ...
BERTOLINO, Giulia; COSTA, Giulio; MONTEMURRO, Marco; PERRY, Nicolas; POURROY, Franck (2019)In this work, a new semi-automatic surface reconstruction procedure is proposed. The main goal of the method is to reconstruct the boundary surface of a triangulation obtained as a result of a topology optimisation ...