Homogenization-based topology optimization for high-resolution manufacturable microstructures

被引:282
作者
Groen, Jeroen P. [1 ]
Sigmund, Ole [1 ]
机构
[1] Tech Univ Denmark, Dept Mech Engn, Solid Mech, Bldg 404, DK-2800 Lyngby, Denmark
关键词
high-resolution; homogenization; manufacturing constraints; topology optimization;
D O I
10.1002/nme.5575
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper presents a projection method to obtain high-resolution, manufacturable structures from efficient and coarse-scale homogenization-based topology optimization results. The presented approach bridges coarse and fine scale, such that the complex periodic microstructures can be represented by a smooth and continuous lattice on the fine mesh. A heuristic methodology allows control of the projected topology, such that a minimum length scale on both solid and void features is ensured in the final result. Numerical examples show excellent behavior of the method, where performances of the projected designs are almost equal to the homogenization-based solutions. A significant reduction in computational cost is observed compared to conventional topology optimization approaches.
引用
收藏
页码:1148 / 1163
页数:16
相关论文
共 13 条
[1]   Modal basis approaches in shape and topology optimization of frequency response problems [J].
Allaire, Gregoire ;
Michailidis, Georgios .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2018, 113 (08) :1258-1299
[2]   Frequency response as a surrogate eigenvalue problem in topology optimization [J].
Andreassen, Erik ;
Ferrari, Federico ;
Sigmund, Ole ;
Diaz, Alejandro R. .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2018, 113 (08) :1214-1229
[3]   GENERATING OPTIMAL TOPOLOGIES IN STRUCTURAL DESIGN USING A HOMOGENIZATION METHOD [J].
BENDSOE, MP ;
KIKUCHI, N .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1988, 71 (02) :197-224
[4]   Topology optimization with additive manufacturing consideration for vehicle load path development [J].
Chuang, Ching-Hung ;
Chen, Shikui ;
Yang, Ren-Jye ;
Vogiatzis, Panagiotis .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2018, 113 (08) :1434-1445
[5]   Homogenization-based topology optimization for high-resolution manufacturable microstructures [J].
Groen, Jeroen P. ;
Sigmund, Ole .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2018, 113 (08) :1148-1163
[6]   Topology optimization for linear thermo-mechanical transient problems: Modal reduction and adjoint sensitivities [J].
Hooijkamp, E. C. ;
van Keulen, F. .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2018, 113 (08) :1230-1257
[7]   Micro-macro concurrent topology optimization for nonlinear solids with a decoupling multiscale analysis [J].
Kato, Junji ;
Yachi, Daishun ;
Kyoya, Takashi ;
Terada, Kenjiro .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2018, 113 (08) :1189-1213
[8]   Topology optimization of vehicle rear suspension mechanisms [J].
Kim, Suh In ;
Kang, Seok Won ;
Yi, Yong-Sub ;
Park, Joonhong ;
Kim, Yoon Young .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2018, 113 (08) :1412-1433
[9]   Level set shape and topology optimization of finite strain bilateral contact problems [J].
Lawry, Matthew ;
Maute, Kurt .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2018, 113 (08) :1340-1369
[10]   Two-scale topology optimization for composite plates with in-plane periodicity [J].
Nishi, Shinnosuke ;
Terada, Kenjiro ;
Kato, Junji ;
Nishiwaki, Shinji ;
Izui, Kazuhiro .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2018, 113 (08) :1164-1188