NDLI: Study of key algorithms in topology optimization

Content Provider	Springer Nature Link
Author	Zuo, Kong Tian Chen, Li Ping Zhang, Yun Qing Yang, Jingzhou
Copyright Year	2006
Abstract	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.
Starting Page	787
Ending Page	796
Page Count	10
File Format	PDF
ISSN	02683768
Journal	The International Journal of Advanced Manufacturing Technology
Volume Number	32
Issue Number	7-8
e-ISSN	14333015
Language	English
Publisher	Springer-Verlag
Publisher Date	2006-03-21
Publisher Place	London
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Topology optimization MMA series algorithms Hybrid solution algorithm Numerical instability Convolution integral factor method Computer-Aided Engineering (CAD, CAE) and Design Mechanical Engineering Production/Logistics Industrial and Production Engineering
Content Type	Text
Resource Type	Article
Subject	Industrial and Manufacturing Engineering Control and Systems Engineering Mechanical Engineering Computer Science Applications Software

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