TY - JOUR
T1 - Convergence Acceleration of Topology Optimization Based on Constrained Level Set Function Using Method of Moving Asymptotes in 3-D Nonlinear Magnetic Field System
AU - Okamoto, Yoshifumi
AU - Masuda, Hiroshi
AU - Kanda, Yutaro
AU - Hoshino, Reona
AU - Wakao, Shinji
N1 - Funding Information:
The computational effort is noticeably improved by the convergence acceleration of the objective function supported by the MMA.
Publisher Copyright:
© 2017 IEEE.
PY - 2017/6
Y1 - 2017/6
N2 - Topology optimization (TO) has advantages over shape optimization; for example, the design space is wider and the degrees of the shape freedom is larger. The convergence characteristic in the conventional level set (LS) method is slow because of the limitation of the time step size that is used for solving the simplified Hamilton-Jacobi equation, which is normally defined as the width of one finite element in the design domain. To overcome this difficulty, convergence acceleration using the method of moving asymptotes is investigated. The performance of the proposed method is compared with the conventional LS method for a 3-D TO problem regarding the magnetic shielding and an interior permanent magnet motor in a 3-D nonlinear magnetostatic field.
AB - Topology optimization (TO) has advantages over shape optimization; for example, the design space is wider and the degrees of the shape freedom is larger. The convergence characteristic in the conventional level set (LS) method is slow because of the limitation of the time step size that is used for solving the simplified Hamilton-Jacobi equation, which is normally defined as the width of one finite element in the design domain. To overcome this difficulty, convergence acceleration using the method of moving asymptotes is investigated. The performance of the proposed method is compared with the conventional LS method for a 3-D TO problem regarding the magnetic shielding and an interior permanent magnet motor in a 3-D nonlinear magnetostatic field.
KW - Heaviside function
KW - level set (LS) function
KW - method of moving asymptotes (MMA)
KW - nonlinear magnetic field
KW - topology optimization (TO)
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U2 - 10.1109/TMAG.2017.2669198
DO - 10.1109/TMAG.2017.2669198
M3 - Article
AN - SCOPUS:85026676009
VL - 53
JO - IEEE Transactions on Magnetics
JF - IEEE Transactions on Magnetics
SN - 0018-9464
IS - 6
M1 - 7855785
ER -