TY - JOUR
T1 - Study of key algorithms in topology optimization
AU - Zuo, Kong Tian
AU - Chen, Li Ping
AU - Zhang, Yun Qing
AU - Yang, Jingzhou
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2007/4
Y1 - 2007/4
N2 - The theory of topology optimization based on the solid isotropic material with penalization model (SIMP) method is thoroughly analyzed in this paper. In order to solve complicated topology optimization problems, a hybrid solution algorithm based on the method of moving asymptotes (MMA) approach and the globally convergent version of the method of moving asymptotes (GCMMA) approach is proposed. The numerical instability, which always leads to a non-manufacturing result in topology optimization, is analyzed, along with current methods to control it. To eliminate the numerical instability of topology results, a convolution integral factor method is introduced. Meanwhile, an iteration procedure based on the hybrid solution algorithm and a method to eliminate numerical instability are developed. The proposed algorithms are verified with illustrative examples. The effect and function of the hybrid solution algorithm and the convolution radius in optimization are also discussed.
AB - The theory of topology optimization based on the solid isotropic material with penalization model (SIMP) method is thoroughly analyzed in this paper. In order to solve complicated topology optimization problems, a hybrid solution algorithm based on the method of moving asymptotes (MMA) approach and the globally convergent version of the method of moving asymptotes (GCMMA) approach is proposed. The numerical instability, which always leads to a non-manufacturing result in topology optimization, is analyzed, along with current methods to control it. To eliminate the numerical instability of topology results, a convolution integral factor method is introduced. Meanwhile, an iteration procedure based on the hybrid solution algorithm and a method to eliminate numerical instability are developed. The proposed algorithms are verified with illustrative examples. The effect and function of the hybrid solution algorithm and the convolution radius in optimization are also discussed.
KW - Convolution integral factor method
KW - Hybrid solution algorithm
KW - MMA series algorithms
KW - Numerical instability
KW - Topology optimization
UR - http://www.scopus.com/inward/record.url?scp=33947245989&partnerID=8YFLogxK
U2 - 10.1007/s00170-005-0387-0
DO - 10.1007/s00170-005-0387-0
M3 - Article
AN - SCOPUS:33947245989
VL - 32
SP - 787
EP - 796
JO - International Journal of Advanced Manufacturing Technology
JF - International Journal of Advanced Manufacturing Technology
SN - 0268-3768
IS - 7-8
ER -