Multicriteria shape design of an aerosol can
Autor: | Habbal Abderrahmane, Benki Aalae, Beigneux Olivier, Mathis Gael |
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Přispěvatelé: | Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE (OPALE), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Alexandre Dieudonné (JAD), Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS), Analysis and Control of Unsteady Models for Engineering Sciences (ACUMES), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Laboratoire Jean Alexandre Dieudonné (JAD), ArcelorMittal Maizières Research SA, ArcelorMittal, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Alexandre Dieudonné (LJAD), Université Nice Sophia Antipolis (1965 - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (1965 - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA), Laboratoire Jean Alexandre Dieudonné (LJAD) |
Jazyk: | angličtina |
Rok vydání: | 2015 |
Předmět: |
Mathematical optimization
0211 other engineering and technologies Computational Mechanics Kalai-Smorodinsky equilibria Boundary (topology) 02 engineering and technology 01 natural sciences Multi-objective optimization Nash equilibria lcsh:TA174 Shape optimization Radial basis function 0101 mathematics Engineering (miscellaneous) Mathematics 021103 operations research Intersection (set theory) Pareto principle Normal boundary intersection Function (mathematics) lcsh:Engineering design Computer Graphics and Computer-Aided Design 010101 applied mathematics Human-Computer Interaction Computational Mathematics Test case [SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph] Modeling and Simulation Multicriteria optimization problem [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] Radial basis function metamodel Algorithm |
Zdroj: | Journal of Computational Design and Engineering Journal of Computational Design and Engineering, Elsevier 2015, pp.11. ⟨10.1016/j.jcde.2015.03.003⟩ Journal of Computational Design and Engineering, Vol 2, Iss 3, Pp 165-175 (2015) Journal of Computational Design and Engineering, 2015, pp.11. ⟨10.1016/j.jcde.2015.03.003⟩ |
ISSN: | 2288-4300 |
DOI: | 10.1016/j.jcde.2015.03.003⟩ |
Popis: | One of the current challenges in the domain of the multicriteria shape optimization is to reduce the calculation time required by conventional methods. The high computational cost is due to the high number of simulation or function calls required by these methods. Recently, several studies have been led to overcome this problem by integrating a metamodel in the overall optimization loop. In this paper, we perform a coupling between the Normal Boundary Intersection – NBI – algorithm with Radial Basis Function – RBF – metamodel in order to have a simple tool with a reasonable calculation time to solve multicriteria optimization problems. First, we apply our approach to academic test cases. Then, we validate our method against an industrial case, namely, shape optimization of the bottom of an aerosol can undergoing nonlinear elasto-plastic deformation. Then, in order to select solutions among the Pareto efficient ones, we use the same surrogate approach to implement a method to compute Nash and Kalai–Smorodinsky equilibria. Highlights We model the aerosol can. We developed an algorithm to solve multicriteria optimization problem. We solve our industrial problem with our developed algorithm. We proposed a new profiles for the bottom of the aerosol can which satisfying the customers requirements. |
Databáze: | OpenAIRE |
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