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

• Published in: Mathematics (Basel) Vol. 12; no. 8; p. 1147
• Main Authors: Houta, Zakaria, Huguet, Thomas, Lebbe, Nicolas, Messine, Frédéric
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01-04-2024; MDPI
• Subjects: 3D printing; Algorithms; Circuits; Electromagnetism; Engineering Sciences; Isotropic material; Load; Magnetic circuits; Magnetic fields; magnetostatics; Mathematical optimization; mechanical constraint; Mechanical properties; Mechanics; Numerical analysis; Optimization; Permeability; Physics; Robust design; sensitivity analysis; Three dimensional printing; Topology optimization; Germany; topology optimization; sensitivity analysis; magnetostatics; SIMP
• ISSN: 2227-7390; 2227-7390
• DOI: 10.3390/math12081147

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.