Substructuring multi-resolution topology optimization with template

HUANG Mengcheng; HUO Wendong; LIU Chang; YANG Dongsheng; HUANG Jia; DU Zongliang; GUO Xu

doi:10.6052/1000-0992-21-030

Volume 51 Issue 4

Nov. 2021

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Article Navigation > Advances in Mechanics > 2021 > 51(4): 901-909

Huang M C, Huo W D, Liu C, Yang D S, Huang J, Du Z L, Guo X. Substructuring multi-resolution topology optimization with template. Advances in Mechanics, 2021, 51(4): 901-909 doi: 10.6052/1000-0992-21-030

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Huang M C, Huo W D, Liu C, Yang D S, Huang J, Du Z L, Guo X. Substructuring multi-resolution topology optimization with template. Advances in Mechanics, 2021, 51(4): 901-909 doi: 10.6052/1000-0992-21-030

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Substructuring multi-resolution topology optimization with template

doi: 10.6052/1000-0992-21-030

HUANG Mengcheng^{1, 2, 3},
HUO Wendong^{1, 2, 3},
LIU Chang^{1, 2, 3},
YANG Dongsheng⁴,
HUANG Jia⁵,
DU Zongliang^{1, 2, 3
,
,},
GUO Xu^{1, 2, 3
,}

1.
State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, Liaoning, China
2.
International Research Center for Computational Mechanics, Dalian University of Technology, Dalian 116023, Liaoning, China
3.
Ningbo Institute of Dalian University of Technology, Ningbo 315016, Zhejiang, China
4.
China Academy of Launch Vehicle Technology, Beijing 100076, China
5.
Beijing Institute of Structure and Environment Engineering, Beijing 100076, China.

More Information

Corresponding author: zldu@dlut.edu.cn
Received Date: 2021-05-27
Accepted Date: 2021-07-29

Available Online: 2021-08-10

Publish Date: 2021-11-26

Abstract

Abstract

In the multi-resolution topology optimization (MTOP) method, by decoupling the finite element mesh and discretization of density field, the finite element analysis is carried out with a coarser mesh (i.e., super-elements), and the computational cost is thus greatly reduced in the process of topology optimization. However, the elemental stiffness matrix is calculated each iteration using the average density of super-elements, and this treatment is actually not only inaccurate but also leads to the checkerboard phenomenon and QR patterns when the filter radius is relatively small. In order to alleviate such issues, the super-element is treated as a substructure and the corresponding elemental stiffness matrix is obtained using static condensation. Furthermore, a template library is developed for the substructure based on its density distribution during the topology optimization process. By this means, the elemental stiffness matrix is not required to be calculated repeatedly, the accuracy of the MTOP method is improved significantly and the checkerboard patterns are effectively inhibited as well.
- multi-resolution topology optimization,
- substructure,
- template

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References(21)

References

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