DOI QR코드

DOI QR Code

A Study on the Topology Optimization in Magnetic Fields - Comparisons Between the Density Method and the Homogenization Design Method

자기장 내의 위상최적화 방법에 대한 연구 - 밀도법과 균질화법의 비교 -

  • Published : 2004.04.01

Abstract

The density approach and the homogenization design method are representative methods in topology optimization problems. In the topology optimization in magnetic fields, those methods are applied based on the results of the applications In elastic fields. In this study, the density method is modified considering the concept of the homogenization design method. Also, the results of the topology optimization in magnetic fields by the modified density method as well as the homogenization method are compared especially focusing the change of the penalization parameter in the density approach. The effect of the definition of the design domain such as global/local design domain is also discussed.

Keywords

References

  1. Bendsoe, M. P., Kikuchi, N., 1988, 'Generating Optimal Topologies in Structural Design Using a Homogenization Method,' Computer Methods in Applied Mechanics and Engineering. Vol. 71, pp. 197-224 https://doi.org/10.1016/0045-7825(88)90086-2
  2. Bendsoe, M. P. and Sigmund, O., 1999, 'Material Interpolation Schemes in Topology Optimization,' Archives of Applied Mechanics, Vol. 69, pp. 635-654 https://doi.org/10.1007/s004190050248
  3. Dick, D. N. and Lowther, D. A., 1996, 'Automated Design of Magnetic Devices by Optimizing Material Distribution', IEEE Transactions on Magnetics, Vol. 32, No.3, pp. 1188-1193 https://doi.org/10.1109/20.497456
  4. Cheng, K. T. and Olhoff, N., 1981, 'An Investigation Concerning Optimal Design of a Solid Elastic Plates', International Journal of Solids and Structures, Vol. 16, No. 3, pp. 305-323
  5. Mlejnik, H. P., Schirrmacher, R., 1993, 'An Engineer's Approach to Optimal Material Distribution and Shape Finding,' Computer Methods in Applied Mechanics and Engineering, Vol. 106, pp. 1-26 https://doi.org/10.1016/0045-7825(93)90182-W
  6. Suzuki, K. and Kikuchi, N., 1991, 'A Homogenization Method for Shape and Topology Optimization,' Computer Methods in Applied Mechanics and Engineering, Vol. 93, pp. 291-318 https://doi.org/10.1016/0045-7825(91)90245-2
  7. Diaz, A, and Kikuchi, N., 1992, 'Solution to Shape and Topology Eigenvalue Optimization Problems Using a Homogenization Method,' International Journal for Numerical Methods in Engineering, Vol. 35, pp. 1487-1502 https://doi.org/10.1002/nme.1620350707
  8. Neves, M. M., Sigmund, O. and Bendsoe, M. P., 2002, 'Topology Optimization of Periodic Microstructures with a Penalization of Highly Localized Buckling Modes,' International Journal for Numerical Methods in Engineering, Vol. 54, pp. 809-834 https://doi.org/10.1002/nme.449
  9. Min, S., Nishiwaki, S. and Kikuchi, N., 1997, 'Optimum Structural Design Based on Flexibility and Stiffness - Application to Compliant Mechanism System,' Journal of KSME, Vol. 21, No. 9, pp. 1432-1440
  10. Dick, D. N. and Lowther,D. A., 1997, 'Composite Microstructure of Permeable Material for the Optimized Material Distribution Method of Automated Design,' IEEE Transactions on Magnetics, Vol. 33, No.2, pp. 1828-1831 https://doi.org/10.1109/20.582634
  11. Byun, J., Hahn, S., and Park, I., 1999, 'Topology Optimization of Electrical Devices Using the Mutual Energy and Sensitivity,' IEEE Transactions on Magnetics, Vol. 35, No.5, pp. 3718-3720 https://doi.org/10.1109/20.800642
  12. Yoo, J. and Kikuchi, N., 2000, 'Topology Optimization in Magnetic Fields Using the Homogeniztion Design Method,' International Journal for Numerical Methods in Engineering. Vol. 48, Issue 10, pp. 1463-1479 https://doi.org/10.1002/1097-0207(20000810)48:10<1463::AID-NME952>3.0.CO;2-5
  13. Yoo, J., Kikuchi, N. and Volakis, J. L., 'Structural Optimization in Magnetic Fields Using the Homogenization Design Method,' IEEE Transactions on Magnetics, Vol.36, No.3, pp. 574-580 https://doi.org/10.1109/20.846220
  14. Yoo, J., 2001, 'Topology Optimization of a Structure Under Harmonic Excitation Caused by Magnetic Fields,' Journal of KSME, Vol.25. No. 10, pp. 1613-1620

Cited by

  1. Topology Optimization of Perpendicular Magnetic Recording System by Considering Magnetic Nonlinearity vol.34, pp.7, 2010, https://doi.org/10.3795/KSME-A.2010.34.7.821
  2. Design Optimization of Moving-Coil Type Linear Actuator Using Level Set Method and Phase-Field Model vol.35, pp.10, 2011, https://doi.org/10.3795/KSME-A.2011.35.10.1223
  3. Weight Reducing of Aluminum Extrusion Profiles of a Railway-Car Body Based on Topology and Size Optimization vol.35, pp.2, 2011, https://doi.org/10.3795/KSME-A.2011.35.2.213