Multicriteria shape design of an aerosol can

Autor: Habbal Abderrahmane, Benki Aalae, Beigneux Olivier, Mathis Gael
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