VUILLOD, Bruno; ZANI, Mathilde; HALLO, Ludovic; MONTEMURRO, Marco

doi:10.1016/j.cma.2024.116913

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VUILLOD, Bruno
Institut de Mécanique et d'Ingénierie [I2M]

ZANI, Mathilde
Institut de Mécanique et d'Ingénierie [I2M]

HALLO, Ludovic

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Article de revue

Ce document a été publié dans

Computer Methods in Applied Mechanics and Engineering. 2024-05-15, vol. 425, p. 116913

Résumé en anglais

This paper proposes a general and systematic approach to generate a surrogate model based on non-uniform rational basis spline (NURBS) hyper-surfaces as a solution of a constrained non-linear programming problem, which is solved through a gradient-based algorithm by considering two formulations. The first formulation, which is the general one, is prone to the curse of dimensionality. The second one separates dimensions in the NURBS domain and allows saving computational time and resources. The optimisation process consists of three steps, which are solved sequentially. Each step is characterised by different design variables and solving strategies. The gradient of the cost function, for both formulations and for each optimisation step, is derived analytically by exploiting the properties of NURBS entities, hence enhancing computational efficiency and accuracy. One of the main features of the presented methodology lies the incorporation of a smoothing term in the problem formulation. This term plays a crucial role in controlling overfitting phenomenon and attenuating local oscillations within the dataset. These oscillations may be due to various sources, such as inherent noise, model instabilities, measurement uncertainties, or numerical precision limitations. The effectiveness of the proposed approach is tested on both analytical benchmark problems and real-world engineering problems taken from the literature.< Réduire

URI

https://oskar-bordeaux.fr/handle/20.500.12278/200992

DOI

http://dx.doi.org/10.1016/j.cma.2024.116913

Project ANR

Fabrication additive assistée par la connaissance et l'intelligence artificielle - ANR-20-CE10-0012

Unités de recherche

Institut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295