Abstract
Topology optimization in magnetic fields has been studied based on the HDM (homogenization design method) and SIMP (Solid Isotropic Material with Penalization). Recently, the modified density approach that accepts the concept of the homogenization design method has been suggested. In this study, the results of topology optimization based on the objective functions such as maximizing magnetic force as well as maximizing the magnetic mean compliance are reviewed. Especially, the modified density approach is studied to obtain the improved final topology comparable to the results by HDM focusing on the hole-shape of the unit element structure considering the directional properties of the magnetic flux.
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References
Bendsøe, M.P. (1989) Optimal shape design as a material distribution problem, Struct. Optim., 17, 193–202.
Bendsøe, M.P. and Kikuchi, N. (1988) Generating optimal topologies in structural design using a homogenization method, Comput. Methods Appl. Mech. Engrg., 71, 197–224.
Bendsøe, M.P. and Sigmund, O. (1999) Material interpolation schemes in topology optimization, Arch. of Applied Mechanics, 69, 635–654.
Byun, J., Lee, J., Park, I., Lee, H., Choi, K. and Hahn, S. (2000) Inverse problem application of topology optimization method with mutual energy concept and design sensitivity, IEEE Trans. on Magnetics, 36(4), 1144–1147.
Lowther, D.A., Mai, W. and Dick, D.N. (1998) Automated design of magnetic devices by optimizing material distribution, IEEE Trans. on Magnetics, 34(5), 2885–2888.
Wang, S., Kang, J. and Noh, J. (2004a) Topology optimization of a single-phase induction motor for rotary compressor, IEEE Trans. on Magnetics, 40(3), 1591–1596.
Wang, S., Park, S., Kang, J. (2004b) Multi-domain topology optimization of electromagnetic systems, COMPEL, 23(4), 1036–1044.
Yoo, J. and Hong, H. (2004) A modified density approach for topology optimization in magnetic fields, Int. J. of Solids and Structures, 41, 2461–2477.
Yoo, J. and Kikuchi, N. (2000) Topology optimization in magnetic fields using the homogenization design method, Int. J. for Numerical Methods in Engineering, 48(10), 1463–1479.
Yoo, J. and Soh, H.J. (2005) An optimal design of magnetic actuators using topology optimization and the response surface method, Microsystem Technologies, 11(12), 1252–1261.
Yoo, J., Kikuchi, N. and Volakis, J.L. (2000) Structural optimization in magnetic devices by the homogenization design method, IEEE Trans. on Magnetics, 36(3), 574–580.
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Yoo, J. (2006). Topology Optimization in Magnetic Fields. In: Bendsøe, M.P., Olhoff, N., Sigmund, O. (eds) IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials. Solid Mechanics and Its Applications, vol 137. Springer, Dordrecht . https://doi.org/10.1007/1-4020-4752-5_27
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DOI: https://doi.org/10.1007/1-4020-4752-5_27
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-4729-9
Online ISBN: 978-1-4020-4752-7
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