Multi-material topology optimization for additive manufacturing considering dimensional constraints

被引:16
作者
Feng, Yukun [1 ]
Noda, Masaki [1 ]
Noguchi, Yuki [1 ,2 ]
Matsushima, Kei [1 ]
Yamada, Takayuki [1 ,2 ]
机构
[1] Univ Tokyo, Grad Sch Engn, Dept Mech Engn, Yayoi 2-11-16,Bunkyo Ku, Tokyo 1138656, Japan
[2] Univ Tokyo, Inst Engn Innovat, Grad Sch Engn, Dept Strateg Studies, Yayoi 2-11-16,Bunkyo Ku, Tokyo 1138656, Japan
关键词
Additive manufacturing; Topology optimization; Multi-material structures; Extended level-set method; Topological derivative; CONTINUUM STRUCTURES; LEVEL; SHAPE;
D O I
10.1016/j.cma.2023.116027
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Recent advances in additive manufacturing have enabled the fabrication of structures in which members made of multiple materials are placed in appropriate positions. However, dimensional constraints must be considered in such a process because of the size limitations of the 3D printer. This paper proposes a topology optimization method that considers the dimensional constraints of each material component. An extended level-set method is used to represent multiple material phases in the structural design. Constraint functions are formulated to control the size of each component. The weighted covariance matrix is used for the bounding box constraint. The sensitivity is based on the topological derivative and adjoint variable method. The proposed method was applied to solving the minimum compliance problem for two-and three-dimensional numerical examples to demonstrate its effectiveness and its potential contribution to enriching designs in additive manufacturing. (c) 2023 Elsevier B.V. All rights reserved.
引用
收藏
页数:30
相关论文
共 54 条
[1]   Structural optimization under overhang constraints imposed by additive manufacturing technologies [J].
Allaire, G. ;
Dapogny, C. ;
Estevez, R. ;
Faure, A. ;
Michailidis, G. .
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 351 :295-328
[2]   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
[3]   Material interpolation schemes in topology optimization [J].
Bendsoe, MP ;
Sigmund, O .
ARCHIVE OF APPLIED MECHANICS, 1999, 69 (9-10) :635-654
[4]  
Bendsoe MP., 2003, Topology Optimization: Theory Methods and Applications, DOI 10.1007/978-3-662-05086-6
[5]  
Bendsoe MP, 1989, Struct. Optim., V1, P193, DOI [DOI 10.1007/BF01650949, 10.1007/BF01650949]
[6]   Determination of the minimum bounding box of an arbitrary solid: an iterative approach [J].
Chan, CK ;
Tan, ST .
COMPUTERS & STRUCTURES, 2001, 79 (15) :1433-1449
[7]  
Chelishchev P., 2020, International Journal of Metrology and Quality Engineering (IJMQE), V11, P9, DOI [10.1051/ijmqe/2020007, DOI 10.1051/IJMQE/2020007]
[8]   A level-set based multi-material topology optimization method using a reaction diffusion equation [J].
Cui, Mingtao ;
Chen, Hongfang ;
Zhou, Jingling .
COMPUTER-AIDED DESIGN, 2016, 73 :41-52
[9]   Bounds on the quality of the PCA bounding boxes [J].
Dimitrov, Darko ;
Knauer, Christian ;
Kriegel, Klaus ;
Rote, Guenter .
COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 2009, 42 (08) :772-789
[10]   Imposing minimum and maximum member size, minimum cavity size, and minimum separation distance between solid members in topology optimization [J].
Fernandez, Eduardo ;
Yang, Kai-ke ;
Koppen, Stijn ;
Alarcon, Pablo ;
Bauduin, Simon ;
Duysinx, Pierre .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2020, 368