Structural optimization of ferromagnetic materials based on the magnetic reluctivity for magnetic field problems

Jae Seok Choi, Jeonghoon Yoo

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

Topology optimization of ferromagnetic materials in magnetic fields using the homogenization method and the density method has been attempted from an angle of the interpolation scheme based on the magnetic permeability. However, optimization results based on such methods may have poor convergence history in comparison with the structural topology optimization of an elastic problem. This study intends to verify that the interpolation scheme using the magnetic permeability may cause problems in the sensitivity analysis for the structural optimization in magnetic fields and suggests a novel interpolation scheme based on the magnetic reluctivity. Numerical examples are focused on magnetic actuators to maximize the magnetic force attracting an armature. This study is focused to maximize force itself using the Maxwell stress method and the sensitivity analysis by the adjoint variable method whereas previous work to maximize force are based on the magnetic energy computation mostly without considering the actuating direction. It is confirmed that optimal models by the proposed method have improved performance and better robust iteration history compared with the previous method.

Original languageEnglish
Pages (from-to)4193-4206
Number of pages14
JournalComputer Methods in Applied Mechanics and Engineering
Volume197
Issue number49-50
DOIs
Publication statusPublished - 2008 Sep 15

Fingerprint

reluctance
Ferromagnetic materials
Structural optimization
ferromagnetic materials
Magnetic permeability
Interpolation
Shape optimization
Magnetic fields
interpolation
Sensitivity analysis
optimization
sensitivity analysis
magnetic fields
Magnetic actuators
Homogenization method
topology
histories
magnetic permeability
armatures
homogenizing

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

Cite this

@article{92e78a9696e34718a848523a7c1a504b,
title = "Structural optimization of ferromagnetic materials based on the magnetic reluctivity for magnetic field problems",
abstract = "Topology optimization of ferromagnetic materials in magnetic fields using the homogenization method and the density method has been attempted from an angle of the interpolation scheme based on the magnetic permeability. However, optimization results based on such methods may have poor convergence history in comparison with the structural topology optimization of an elastic problem. This study intends to verify that the interpolation scheme using the magnetic permeability may cause problems in the sensitivity analysis for the structural optimization in magnetic fields and suggests a novel interpolation scheme based on the magnetic reluctivity. Numerical examples are focused on magnetic actuators to maximize the magnetic force attracting an armature. This study is focused to maximize force itself using the Maxwell stress method and the sensitivity analysis by the adjoint variable method whereas previous work to maximize force are based on the magnetic energy computation mostly without considering the actuating direction. It is confirmed that optimal models by the proposed method have improved performance and better robust iteration history compared with the previous method.",
author = "Choi, {Jae Seok} and Jeonghoon Yoo",
year = "2008",
month = "9",
day = "15",
doi = "10.1016/j.cma.2008.04.019",
language = "English",
volume = "197",
pages = "4193--4206",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0374-2830",
publisher = "Elsevier",
number = "49-50",

}

Structural optimization of ferromagnetic materials based on the magnetic reluctivity for magnetic field problems. / Choi, Jae Seok; Yoo, Jeonghoon.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 197, No. 49-50, 15.09.2008, p. 4193-4206.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Structural optimization of ferromagnetic materials based on the magnetic reluctivity for magnetic field problems

AU - Choi, Jae Seok

AU - Yoo, Jeonghoon

PY - 2008/9/15

Y1 - 2008/9/15

N2 - Topology optimization of ferromagnetic materials in magnetic fields using the homogenization method and the density method has been attempted from an angle of the interpolation scheme based on the magnetic permeability. However, optimization results based on such methods may have poor convergence history in comparison with the structural topology optimization of an elastic problem. This study intends to verify that the interpolation scheme using the magnetic permeability may cause problems in the sensitivity analysis for the structural optimization in magnetic fields and suggests a novel interpolation scheme based on the magnetic reluctivity. Numerical examples are focused on magnetic actuators to maximize the magnetic force attracting an armature. This study is focused to maximize force itself using the Maxwell stress method and the sensitivity analysis by the adjoint variable method whereas previous work to maximize force are based on the magnetic energy computation mostly without considering the actuating direction. It is confirmed that optimal models by the proposed method have improved performance and better robust iteration history compared with the previous method.

AB - Topology optimization of ferromagnetic materials in magnetic fields using the homogenization method and the density method has been attempted from an angle of the interpolation scheme based on the magnetic permeability. However, optimization results based on such methods may have poor convergence history in comparison with the structural topology optimization of an elastic problem. This study intends to verify that the interpolation scheme using the magnetic permeability may cause problems in the sensitivity analysis for the structural optimization in magnetic fields and suggests a novel interpolation scheme based on the magnetic reluctivity. Numerical examples are focused on magnetic actuators to maximize the magnetic force attracting an armature. This study is focused to maximize force itself using the Maxwell stress method and the sensitivity analysis by the adjoint variable method whereas previous work to maximize force are based on the magnetic energy computation mostly without considering the actuating direction. It is confirmed that optimal models by the proposed method have improved performance and better robust iteration history compared with the previous method.

UR - http://www.scopus.com/inward/record.url?scp=52749095046&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=52749095046&partnerID=8YFLogxK

U2 - 10.1016/j.cma.2008.04.019

DO - 10.1016/j.cma.2008.04.019

M3 - Article

AN - SCOPUS:52749095046

VL - 197

SP - 4193

EP - 4206

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0374-2830

IS - 49-50

ER -