Abstract
Topology optimization has been widely used for the optimal structure design not only in elastic fields but also in electric/magnetic fields. The homogenization design method and the density approach are the representative methods in topology optimization. The purpose of this work is to suggest a modified density approach for the topology optimization in magnetic fields considering the characteristics in magnetic fields. In this work, a hole is assumed in an element based on the concept of the homogenization design method, and the density and the magnetic permeability of the element are obtained according to the size of the hole at each element while only one design variable, the element density, has been considered in the ordinary density method. It is also addressed that the appropriate value of the penalization parameter is quite different in magnetic optimization problems comparing to the value in elastic optimization problems. Numerical results according to the element density and the design domain are also discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 2461-2477 |
| Number of pages | 17 |
| Journal | International Journal of Solids and Structures |
| Volume | 41 |
| Issue number | 9-10 |
| DOIs | |
| Publication status | Published - 2004 May 1 |
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All Science Journal Classification (ASJC) codes
- Modelling and Simulation
- Materials Science(all)
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics
Cite this
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A modified density approach for topology optimization in magnetic fields. / Yoo, Jeonghoon; Hong, Hyeoksoo.
In: International Journal of Solids and Structures, Vol. 41, No. 9-10, 01.05.2004, p. 2461-2477.Research output: Contribution to journal › Article
TY - JOUR
T1 - A modified density approach for topology optimization in magnetic fields
AU - Yoo, Jeonghoon
AU - Hong, Hyeoksoo
PY - 2004/5/1
Y1 - 2004/5/1
N2 - Topology optimization has been widely used for the optimal structure design not only in elastic fields but also in electric/magnetic fields. The homogenization design method and the density approach are the representative methods in topology optimization. The purpose of this work is to suggest a modified density approach for the topology optimization in magnetic fields considering the characteristics in magnetic fields. In this work, a hole is assumed in an element based on the concept of the homogenization design method, and the density and the magnetic permeability of the element are obtained according to the size of the hole at each element while only one design variable, the element density, has been considered in the ordinary density method. It is also addressed that the appropriate value of the penalization parameter is quite different in magnetic optimization problems comparing to the value in elastic optimization problems. Numerical results according to the element density and the design domain are also discussed.
AB - Topology optimization has been widely used for the optimal structure design not only in elastic fields but also in electric/magnetic fields. The homogenization design method and the density approach are the representative methods in topology optimization. The purpose of this work is to suggest a modified density approach for the topology optimization in magnetic fields considering the characteristics in magnetic fields. In this work, a hole is assumed in an element based on the concept of the homogenization design method, and the density and the magnetic permeability of the element are obtained according to the size of the hole at each element while only one design variable, the element density, has been considered in the ordinary density method. It is also addressed that the appropriate value of the penalization parameter is quite different in magnetic optimization problems comparing to the value in elastic optimization problems. Numerical results according to the element density and the design domain are also discussed.
UR - http://www.scopus.com/inward/record.url?scp=1842536073&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=1842536073&partnerID=8YFLogxK
U2 - 10.1016/j.ijsolstr.2003.12.017
DO - 10.1016/j.ijsolstr.2003.12.017
M3 - Article
AN - SCOPUS:1842536073
VL - 41
SP - 2461
EP - 2477
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
SN - 0020-7683
IS - 9-10
ER -