Inductor shape optimization for electromagnetic casting

Alfredo Canelas 1 Jean Rodolphe Roche 2, 3 Jose Herskovits 4
2 CALVI - Scientific computation and visualization
IRMA - Institut de Recherche Mathématique Avancée, LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
Abstract : The design of inductors in electromagnetic shaping of molten metals consists in looking for the position and the shape of a set of electric wires such that the induced electromagnetic field makes a given mass of liquid metal acquire a predefined shape. In this paper we formulate an inverse optimization problem where the position and shape of the inductors are defined by a set of design variables. In a first formulation of the inverse optimization problem we minimize the difference between the target and the equilibrium shapes while in a second approach we minimize the L 2 norm of a fictitious surface pressure that makes the target shape to be in mechanical equilibrium. Geometric constraints that prevent the inductors from penetrating the liquid metal are considered in both formulations. The optimization problems are solved using FAIPA, a line search interior-point algorithm for nonlinear optimization. Some examples are presented to show the effectiveness of the proposed approaches.
Type de document :
Article dans une revue
Structural and Multidisciplinary Optimization, Springer Verlag (Germany), 2009, 39 (6), pp.589-606. 〈10.1007/s00158-009-0386-0〉
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Contributeur : Jean Rodolphe Roche <>
Soumis le : dimanche 1 mai 2011 - 18:35:36
Dernière modification le : mercredi 14 mars 2018 - 16:44:23

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Alfredo Canelas, Jean Rodolphe Roche, Jose Herskovits. Inductor shape optimization for electromagnetic casting. Structural and Multidisciplinary Optimization, Springer Verlag (Germany), 2009, 39 (6), pp.589-606. 〈10.1007/s00158-009-0386-0〉. 〈inria-00589752〉



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