Solid Isotropic Material with Penalization-Based Topology Optimization of Three-Dimensional Magnetic Circuits with Mechanical Constraints

Zakaria Houta, Thomas Huguet (), Nicolas Lebbe and Frédéric Messine
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Zakaria Houta: Laboratoire Plasma et Conversion d’Energie (LAPLACE), Université de Toulouse, Centre National de la Recherche Scientifique (CNRS), Institut National Polytechnique de Toulouse (INPT), Université Paul Sabatier (UPS), 31062 Toulouse, France
Thomas Huguet: Laboratoire Plasma et Conversion d’Energie (LAPLACE), Université de Toulouse, Centre National de la Recherche Scientifique (CNRS), Institut National Polytechnique de Toulouse (INPT), Université Paul Sabatier (UPS), 31062 Toulouse, France
Nicolas Lebbe: Laboratoire Plasma et Conversion d’Energie (LAPLACE), Université de Toulouse, Centre National de la Recherche Scientifique (CNRS), Institut National Polytechnique de Toulouse (INPT), Université Paul Sabatier (UPS), 31062 Toulouse, France
Frédéric Messine: Laboratoire Plasma et Conversion d’Energie (LAPLACE), Université de Toulouse, Centre National de la Recherche Scientifique (CNRS), Institut National Polytechnique de Toulouse (INPT), Université Paul Sabatier (UPS), 31062 Toulouse, France

Mathematics, 2024, vol. 12, issue 8, 1-20

Abstract: Topology optimization is currently enjoying renewed interest thanks to the recent development of 3D printing techniques, which offer the possibility of producing these new complex designs. One of the difficulties encountered in manufacturing topologically optimized magnetostatic structures is that they are not necessarily mechanically stable. In order to take this mechanical constraint into account, we have developed a SIMP-based topology optimization algorithm which relies on numerical simulations of both the mechanical deformation and the magnetostatic behavior of the structure. Two variants are described in this paper, respectively taking into account the compliance or the von Mises constraint. By comparing the designs obtained with those from magnetostatic optimization alone, our approach proves effective in obtaining efficient and robust designs.

Keywords: topology optimization; sensitivity analysis; magnetostatics; mechanical constraint (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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