A surrogate model based on Non-Uniform Rational B-Splines hypersurfaces
TypeArticles dans des revues avec comité de lecture
This study aims at providing an original metamodeling technique based on the Non-Uniform Rational B-Splines (NURBS) formalism. The proposed approach is able to fit general non-convex sets of target points (TPs) by extending the NURBS formalism to the N-dimensional (N-D) case, getting in this way a general NURBS hypersurface. The shape of such a hypersurface is tuned by several parameters: the number of control points (CPs), their coordinates and related weights, the degrees of the blending functions and the knot-vector components defined along each direction. The goal of the proposed strategy is to find the best NURBS hypersurface approximating a given set of TPs. To this purpose the problem is formulated as an unconstrained least-square distance problem wherein the optimisation variables are all the parameters tuning the shape of the NURBS hypersurface. Nevertheless, when the number of CPs and the degrees of the basis functions are included among the design variables the resulting problem is defined over a space having a variable dimension. To deal with this aspect, a special genetic algorithm, able to solve problems characterised by a variable number of design variables, is considered to determine automatically (i.e. without the user’s intervention) the optimum value of both the design space size (related to the integer variables of the NURBS hypersurface) and the NURBS hypersurface continuous parameters. The effectiveness of the proposed approach is proven by means of a meaningful benchmark.
Fichier(s) constituant cette publication
Cette publication figure dans le(s) laboratoire(s) suivant(s)
Visualiser des documents liés par titre, auteur, créateur et sujet.
Thermo-mechanical homogenisation of cork-based composites: variability in materials properties and propagation of uncertainty DELUCIA, Marco; CATAPANO, Anita; MONTEMURRO, Marco; PAILHES, Jérôme (2019)The last decades have been characterized by a growth of raw material demand, in particular due to the consumerism in developed countries and to the fast industrialization of emerging economies. Nowadays, with the aim to ...
DELUCIA, Marco; CATAPANO, Anita; MONTEMURRO, Marco; PAILHES, Jérôme (SAGE Publications, 2019)In this paper, a general numerical homogenisation scheme coupled with an efficient modelling strategy for predicting the effective thermoelastic properties of cork-based agglomerates is presented. In order to generate a ...
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 ...
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: ...
MONTEMURRO, Marco; PAGANI, Alfonso; FIORDILINO, Giacinto Alberto; PAILHES, Jérôme; CARRERA, Erasmo (Società Editrice Esculapio, 2017)this work deals with the problem of the least-weight design of a composite stiffened panel. The design problem is stated as a constrained non-linear programming problem (CNLPP). Optimisation constraints of different nature ...